1 Two Way Frequency Tables Practice And Problem Solving A B Answers: Fill & Download for Free

lisen i have a treasure for you , please share it as much as you can it is top secret intelit is the exact rubics of icse board exam 2013 , through this rubics examinor has checked the answer sheet1. Evaluation of icse 2013 answer sheet2. COMPOSITION- GRADING Composition – 25 Marks Essays will be graded [A/B/C/D/E/F] by the Examiner Less than 200 words is a short script. No penalization is given for this. And also no penalization, if the student exceeds the limit. Deduct 2 Marks if the essay is not written in paragraphs3. Awarding of Grades for Essay Grade A An ‘A’ Grade Essay is awarded 21-25 marks. 84- 100% accuracy is expected. Qualities of an ‘A’ Grade Essay:  It should have very good language.  Matter should be original.  Sensitivity in the selection of language.  Fluency of expression.  Positive form of unity and arrangement.  Matter relevant to the topic.4. Grade B A ‘B’ Grade Essay is awarded 16-20 marks. 64-80% accuracy is expected. Qualities of an ‘A’ Grade Essay: Good linguistic ability. Usage of varied vocabulary. Arrangement clear and appropriate.5. Grade C A ‘C’ Grade Essay is awarded 12-15 marks. 48-60% accuracy is expected. Qualities of an ‘C’ Grade Essay: Fair language ability. Very few minor errors. Satisfactory treatment of subject.6. Grade D A ‘D’ Grade Essay is awarded 9-11marks. 36-44% accuracy is expected. Qualities of an ‘D’ Grade Essay: Monotonous and uncertain language. Subject not adequately developed. Communicates feelings at a simple level.7. Grade E A ‘E’ Grade Essay is awarded 6-8 marks. 24-32% accuracy is expected. Qualities of an ‘E’ Grade Essay:  Flat, faulty language.  Frequent gross errors.  Subject undeveloped.  Matter irrelevant and topic not focused upon.8. Grade F: 2-5/8-20% A ‘F’ Grade Essay is awarded 2-5 marks. 8- 20% accuracy is expected. Qualities of an ‘A’ Grade Essay:  Broken English.  Numerous and gross syntactical errors.  Subject distorted.  Faulty arrangement.  Garbled and continuous errors.  Makes no sense at all.9. Error Frequency – Criterion of Grading  The composition will be graded based on the frequency of simple and gross errors that occur within the first 200 words.  No penalization for errors after 200 words, but the examiner will give the highest or the lowest within the same grade depending upon the frequency of errors even after 200 words.  If the essay is improved after 200 words, the highest within the same grade will be awarded.10. Simple [SE] and Gross Errors [GE] What are Simple Errors?  Repetition of words by mistake and spelling mistakes.  Examples: 1. He said said that… 2. There/ their 3. Examinasion If one error is penalized once, [e.g.. Spelling error] the subsequent errors in the same fashion should not be penalized. [but in the case of tense, it should be penalized repeatedly.]11. Simple [SE] and Gross Errors [GE] What are Gross Errors?  All the other types of common errors. Capital and small letters. Punctuations and their omission. Wrong construction. Spoken language.12.  Unnecessary use of articles/ their omission.  Spelling errors that make changes in meaning.  Tense errors.  Subject verb agreement.  Wrong beginning of the sentence.  Wrong prepositions.  Incorrect vocabulary.13. A Few Examples for Gross Errors I prayed to god./ in spite of heavy traffic…/ I told Him… Thus we reached home late at 10 pm One flower was there.[There was a flower.] I asked, you have seen him? I told to the my friends/ Taj Mahal is one of the seven wonders…14. ◦ I was quarreling with my parents for my birth/berth. ◦ I had seen him tomorrow./ we all reach our destination and begin to enjoy. ◦ She do not know it./ I has bought a book. ◦ And we began chatting. ◦ He passed away a piece of cake to me. ◦ This is what effects you most…[ affects]15. What is Error Frequency? One point for one gross error. Half a point for one simple error. Each error to be underlined and indicated at the end of each line. Add up the points and mention the total error frequency where the first 200 words end.16.  Example:  10 gross errors and 5 simple errors within 200 words = Error Frequency is 12.5% [EF=13%] = D 11  Even the most creative composition may fetch a low grade if the error frequency within 200 words is more.  Depending upon the error frequency the examiners are to decide the grade as well as the marks.17. Counting the First Two Hundred Words Words in the First Line Number of Lines 5 40 6 33 7 29 8 25 9 22 10 20 11 18 12 16 13 15 14 14 15 1318. Grading Table Grade Marks % Error Frequency A 21-25 84-100 1-3 B 16-20 64-80 4-7 C 12-15 48-60 8-12 D 9-11 36-44 13-16 E 6-8 24-32 17-20 F 2-5 8-20 21+19. Question 1A. - Story Write an original short story that begins with the words: “In the background I could hear an awful commotion, men’s voices raised and women screaming.” The story must be original and must begin with the given sentence. The story may take any form but should convey why there was a commotion and what was making the men raise their voices and women scream. -2 if the story does not begin with the given sentence. -1 if only part of the sentence is used. Deduct 25% of the marks obtained if the story is blatantly unoriginal. Mention [not original] [e.g. Nirbhhaya’s case]20. B. Argumentative Composition “Boarding schools are far better than day schools for the all-round education of a child.” Express your views either for or against this statement.  views for or against the motion are to be accepted. The candidate should take a clear stand and give valid reasons for whatever stand he or she takes regarding the topic either for or against the statement. Deduct up to 25% of the marks obtained if no clear stand is taken. But be sure that no stand is taken before deducting. Mention [ No stand taken.]21. C. Descriptive Composition  You were on a school trip and were on your way back to the hotel late one night when your school bus, full of children, broke down in a lonely area. Describe what you saw and experienced as you looked around. How was the problem solved?  The events should be interesting and should be described in detail.  The fear, the night sights and sounds and the ultimate rescue or help should be described.  [What was seen and heard? How was the problem solved?]  [If onward journey is mentioned, do not penalize]22. D. Narrative Composition ◦ Teaching someone else how to do something can be a rewarding experience. Think of a skill that you have helped someone to develop. Perhaps you taught someone how to swim or to bake a cake, or helped someone learn how to study more effectively. Narrate the events that made up the process of teaching the skill and say what made the experience important and memorable for you.23. Marking Scheme A Personal experience- The particular event or situation in which the candidate taught another person how to do something or develop a skill must form the core of the essay. The candidate should focus on the events that made up the process of teaching the skill and clearly narrate what made the experience important and memorable for him or her. – How the person was taught? What made it rewarding?24. E. Picture Composition  Study the picture given. Write a story or a description or an account of what it suggests to you. Your composition may be about the subject of the picture or you may take suggestions from it; however, there must be a clear connection between the picture and your composition.  Accept a broad interpretation but keep in mind that there must be a clear connection between the picture and the composition.  There must be a reference to the elephant and the children on it.  Deduct 2 marks if no reference is made to the picture.25. Letter Writing – 10 Marks Format Content Expression Informal 2.5 2.5 5 Formal 3 2 526. Formal Letter – 3 for Format From Address Date To Address Salutation Subscription Signature27. Informal Letter – 2.5 for Format From Address Date Salutation Subscription Pet name/first name28. Note the following: Relevant points in the body [content] of the letter to be indicated by a tick and the marks for content to be shown in the right hand margin. Full range of marks to be used. No mark is to be deducted for lack of punctuation in the address. Incorrect punctuation in the subscription is to be penalized. [If comma not used, no marks] Informal letter: salutation: Dear Grandfather/My dear Grandfather = accepted. Formal letter: Salutation: Sir/ Dear Sir/ Madam/ Dear Madam = accepted.29.  Respected Sir/ Respected Madam = not accepted.  Month in the address should be written in full. No short forms accepted. No marks if year is not mentioned.  No Indian salutation to be accepted. [My dear dadaji, aunty etc…]  Your loving grandson, [not son or daughter as the letter is to the grandfather]/Yours lovingly,/ Your affectionate grandson,/ Yours affectionately, are the only subscriptions to be accepted in informal letters.30. Yours truly,/ Yours faithfully, are the only subscriptions to be accepted in formal letters. Incorrect subscription = 0 marks. If only one error occurs in the subscription and the name is written correctly, 0.5 marks can be given for signature. But if more than one error occurs in the subscription, no marks should be given for the signature even if the name is written correctly. Only first name for informal letters. First name and surname for formal letters. The subscription should be in the same side where the from address and the date is mentioned whatever may be the format one follows. No marks to be deducted even if the subject is not mentioned in the formal letter. The date, month and year can be any date in the past and not in the future. [reasonable = can not be 1950] Marks to be indicated in this manner : F+C+E = 2+1+3=631. Marking Scheme Informal letter: Question: You will soon have to make a decision about the subjects that you wish to study in classes XI and XII. Write a letter to your Grandfather telling him about the subjects that you plan to take up. Be sure to explain the reason for your choice and how you think these subjects would help you in the future. Ensure that the format is correct and the following points are clearly brought out.32. ◦ [format=2.5, content =2.5, Expression =5] 1. What? [specify the subject or group of subjects] = 1 2. Why? [ Reason/link why the subject(s) appeal to the candidate.] = 0.5 3. How will the choice help the candidate in future opportunities and career options? =1 4. [Marks for expression should correspond to the grade of the essay]33. Marking Scheme Formal Letter: Question: The children in your neighborhood are forced to play on the street for want of a proper play area. Write a letter to the editor of a popular newspaper, pointing out the need for a playground in your neighborhood. Give reasons why you think a play area is necessary and point out how it would benefit everyone who lives in that area. [Format= 3, Content = 2, Expression =5]34. Marking Scheme 1. WHY the park is necessary?: children need a safe place to play/would beautify the vicinity of the neighborhood/ trees and plants would help lessen environmental pollution etc. [any two reasons = 1 mark] 2. How it would benefit the neighborhood?: Foster interpersonal skills and encourage cooperation/ build a friendly family neighborhood/ would enable adults and children to pursue physical activities that would keep them fit. [any two reasons – 1 mark] Totally accept any four reasons but see that they are not repeated. Two for why and two for how. 2 marks totally.35. Expression [5 Marks] Both formal and informal letters : 5 marks. Ensure a correlation between essay grade and letter express based on the following criteria. Essay Grade Letter Expression A 4 B 3/3.5 C 2/2.5 D 1/1.5 E&F 0.5/136. Comprehension ◦ A] Give meaning of each of the following words as used in the passage. One word answers or short phrases will be accepted. 1. Agility= skillfulness/ skill/ acrobatic ability/ ease and flexibility/ quickness of movement/nimbleness/quick movement/ability to move quickly 2. Hailed = Greeted/said hello/wished/called out to/signaled/ hallooed 3. Villain = wicked/bad/evil person, rogue, miscreant, rascal, scoundrel [ not just adjective, noun i.e. person or man must be there.] 3x1=3 If two meanings are written, consider the wrong one. If both are correct, give mark.37. B:Answer the Following: 6X2=12 1. How was Chittru different from other boys? Answer: Chittru did not work like other boys, was lazy [1]/ fished in other people’s streams [0.5]/ and stole fruits [0.5]. 2. What was Bisnu’s Ambition? Answer: He wanted to read and write [1]/ had set his heart on receiving good scholarship, education or schooling[1]. 3. What information did Sarru give Bisnu? Answer: Sarru told Bisnu that a panther had come to the village [1]/ that night [1].38. Contd. 4. How did the information affect Bisnu? ANSWER: The information interested but did not excite him [1]/ because panthers were common in the hills [1]. 5. Why did the panther become a cattle-lifter? ANSWER: A panther if wounded can not hunt [1]/ so it attacks cattle and people [1]. 6. What joke does Sarru make? ANSWER: Sarru jokes that the panther poisoned itself [1]/ when it ate the headman of the village [1].39. Précis Writing C(i): In not more than 60 words describe what the narrator tells us about the behavior of the langoors. [8] MAIN POINTS TO BE MENTIONED IN THE SUMMARY: 1. Langoors lived in the forest. 2. Fed on oak leaves, acorns and other green things. 3. remained in trees. 4. Played or sunned themselves. 5. Leapt from tree to tree. 6. Young ones wrestled like boys.40. 1. Were dignified, not cheeky or dishonest. 2. Did not approach dogs or humans. 3. Grown used to Bisnu’s coming and goings/ did not fear him. 4. Older ones would watch him quietly- puzzled. 5. Did not go near towns. 6. All the food they got from the forest.41. Key Words 1. Lived 2. Fed 3. Remained 4. Played 5. Leapt 6. Wrestled 7. Were dignified 8. Not approach 9. Not fear/Grown used to 10. Watch 11. Not go 12. Got from 12x0.5=6+2 for Expression [ Total =8]42. Marks for Expression Marks for Points Marks for Expression 1.5 0.5 3 1 4.5 1.5 6 243. Note: ◦ If the candidate exceeds 65 words and has mentioned all the points, award only 0.5 mark for expression. ◦ Do not correct beyond 60 words. ◦ C (II) = Give a title to your summary in 3(c). Give a reason to justify your choice. ◦ Any apt title pertaining to the behavior of langoors [1] ◦ A valid reason to justify the choice [1] ◦ If the title is correct and the reason is lame, do not award marks for justification. ◦ If the title is wrong, automatically the justification also must be wrong. So no marks. ◦ It is mandatory that the summary should be written in grids. But no penalization is required even if grid is not used by the candidate.44. Question 4 ◦ A) Fill in each of the numbered blanks with correct form of the word given in brackets. Do not copy the passage, but write in correct serial order the word or phrase appropriate to the blank space. ◦ See the Q.P. 1. Hunted 2. Bought 3. Was engrossed 4. Munched 5. Got/was getting 6. Would blacken 7. Took 8. Had tried/tried/was trying/had been trying45. Question 4 ◦ B) Fill in the blanks with an appropriate word. ◦ See the Q.P. 1. Over/with 2. To 3. In 4. Into 5. For 6. Behind/inside/under/in 7. Of 8. Among/Amongst46. Question 4 ◦ C) Join the following sentences to make one complete sentence without using and, but or so. 1. We had better get ready now. We may not have time to reach the airport.  We had better get ready now otherwise/or/or else we may not have time to reach the airport.  Unless we get ready now we may not have time to reach the airport.  If we do not get ready now, we may not have time to reach the airport.47. Question 4 2. Mr. Liew has been sick. He has been so since he came back from Japan. Mr. Liew has been sick since/ever since coming back/returning from Japan. Mr. Liew has been sick since/ever since he came back/ returned from Japan. [returned back = wrong]48. Question 4 ◦ 3. The debating teams were very happy. Both were declared joint-champions. The debating teams were very happy as/since both were declared joint- champions. The debating teams were very happy because they both were declared joint- champions.49. Question 4 ◦ 4. He escaped from the prison. He looked for a place where he could hide. Escaping from the prison, he looked for a place where he could hide. After escaping from the prison, he looked for a place where he could hide. Having escaped from the prison, he looked for a place where he could hide. After having escaped from the prison, he looked for a place where he could hide. [Accept several alternatives as long as the rubric is followed, meaning remains the same and the answer grammatically correct.]50. Question 4 ◦ D) Rewrite the following sentences according to the instructions given after each. Make other changes that may be necessary, but do not change the meaning of each sentence. 1. These windows need cleaning again. [Begin: These windows will ………….]  These windows will have/need to be cleaned again. [Do not accept ‘require’.]51. Contd. 2. My mother said I could go with you only if I returned home by five o’clock. [Use: As long as] [Notice that the conjunction “that” is omitted and it is in indirect speech.] My mother says I can go with you as long as I return home by 5 o’clock. My mother said I could go with you as long as I returned home by 5 o’clock. [accept 5a.m. and 5 p.m.]52. Contd. 3. It doesn’t matter which chemical you put into the mixture first, the results will be the same. [Use: Difference] It makes no difference which chemical you put into the mixture first, the results will be the same. [The word “difference” should be used at the beginning i.e. in the first clause only]53. Contd. 5. Heavy rain has caused the cancellation of the outdoor garden party. [Begin: Due…] Due to the heavy rain, the outdoor garden party has been cancelled.54. Contd. 4. Who does this pen belong to? [ Begin: Do you know…….] Do you know whose pen this is? Do you know to whom this pen belongs? Do you know who/whom this pen belongs to? [Deduct 0.5 mark if there is no question mark.]55. Contd. 6. I’ve never seen so many people in this building before. [ Begin: This is ………..] This is the first time I have seen so many people in this building. [ Do not accept Present Continuous Tense.]56. Contd. 7. If we light the fire, the rescuers will see us. [Begin: We will…] We will be seen by the rescuers if we light the fire.57. Contd. 8. Only a few books were remaining on the shelf when we left. [Begin: Most…] Most of the books had been sold by the time we left. Most of the books were gone by the time we left. Most of the books on the shelf had been taken away by the time we left. Most of the books had been removed by the time we left. Most of the books were not on the shelf when we left. Most of the books were not remaining on the shelf when we left. [Not in the key but given marks]58. Final Analysis  Very difficult to score in Language paper. But whatever the student loses in Language paper will be compensated in the literature paper. Presence of mind is required. [ question to be analyzed] Answers to be specific. Apply technical mind. Essay writing skills to be developed. Aim at perfection. [make your answers error free] Only practice makes you perfect. If ready for hard work, centum accomplishment is certain

As the board exams are just around the corner, I am sure everyone, teachers and parents included, are equally stressed. Students are busy with their last-minute revisions and are trying to get the most out of their study hours these days. Many of them are have their eyes and ears wide open for some last minute tips. Well, look no further.These are some great insights into each chapter for your Physics class 11. These key revision points and quick tips will help you prepare intelligently for the physics class 11. Even if you have left out certain chapters for last minute preparations or revisions, these tips will help you get through them better.Chapter 1 – Physical WorldTips:The chapter is an interesting outlook about all that is happening in the field of science, especially physics. It is good to go through the chapter once for self-awareness. Else at the time of exam of physics class 11, there is not much to be asked from the topic.Chapter 2 – Units and MeasurementImportant Topics:1. SI Units2. Absolute Errors3. Significant Figures4. Dimensional AnalysisTips:a) The chapter includes units of physical quantities and methods of evaluating them. The next portion of the chapter is about the evaluation of errors while measuring other quantities. Both the topics are important for short answers and numerical.b) Measurement of any data can give us long figures. Significant digits method is a good way to evaluate a standard figure. The topic is also important from a numerical point of view.c) Dimensions of different quantities are frequently asked for short answers in exams. Numerical from the same are also asked as short numerical.d) None of the above topics requires intensive practice and preparation for the exam of physics class 11.Chapter 3 – Motion in a Straight LineImportant Topics:1. Average Velocity and Average Speed2. Instantaneous Velocity and Speed3. Relative Velocity4. Kinematic Equations for Uniformly Accelerated MotionTips:a) Graphical representation and interpretation of accelerated motion are very important as questions are frequently asked graphically.b) Numerical from all the important topics mentioned are very important. They are often asked in different forms, so be prepared with each topic and practice few extra numerical for the exam of physics class 11.Chapter 4 – Motion In a PlaneImportant Topics:1. Vector Operations2. Resolutions of Vectors3. Motion of Object in Plane4. Projectile MotionTips:a) Direct questions are not frequently asked from the vector but vector addition, multiplication, etc. are used in almost every third problem in physics. So overall good grip on vectors is very important to excel while solving numerical in other topics of physics.b) Resolving vector into components is an important tool used while solving numerically. Do not skip the topic at all.c) Projectile motion is a very important topic, both derivation and numerical should be practiced.d) Numerical from the motion of objects in a plane is very important.e) Use differentiation and integration as a basic tool wherever required.f) Overall, the chapter is very important and is equally contributing to almost all the remaining chapters of physics class 11.Chapter 5 – Laws of MotionImportant Topics:1. Newton’s First Law of Motion2. Newton’s Second law of Motion3. Newton’s Third Law of Motion4. Conservation of Momentum5. Circular Motion6. Problem Solving in MechanicsTips:a) It is the most important chapter in mechanics. All the three laws of Newton should be well understood and you should be able to relate these laws to general day to day life activities.b) Numerical is frequently asked based on the conservation of momentum. These problems do include the conceptual steps taken from three laws of Newton’s while solving the problem.c) Quality questions are asked from mechanics involving friction and resolving forces into various components and equalizing them.d) A brief knowledge and practice of a variety of problems from these topics is the only way to solve such problems.Chapter 6 – Work, Energy, and PowerImportant Topics:1. Work-Energy Theorem (variable force)2. Kinetic Energy and Potential Energy3. Law of Conservation of Energy4. Potential Energy of a Spring5. CollisionsTips:a) The derivation of all the mentioned topics is important.b) Theoretical questions are hardly asked from the topic. However, a wide range of numerical problems is being asked.c) Numerical involving conversion of energy and conservation are asked. These numerical include the concept of kinetic and potential energy.d) Work done is asked several times in various conversions.e) Collison is a very important topic for both theoretical short questions and numerical.f) The potential energy of spring’s derivation and expression is an important topic. Interpretation of potential energy curve is very important.Chapter 7 – Systems of Particles and Rotational MotionImportant Topics:1. Centre of Mass and its Motion2. Linear motion of System of Particles3. Angular Velocity and Angular Acceleration4. Torque and Angular Momentum5. Moment of Inertia6. Theorems of perpendicular and Parallel Axis7. Kinematics of rotational motion about a fixed axis8. Dynamics of rotational motion about a fixed axis9. Angular momentum in case of rotation about a fixed axis Rolling motion10. Rolling MotionTips:a) All the mentioned important topics are equally asked in form of numerical problems as well as derivations. Conceptual understanding of each topic is recommended. Also, practice numerical from each.b) Do not get confused between rolling motion with and without slipping.c) Revise the relations between the physical quantities in the chapter.d) Make a chart or table for the moment of inertia for different objects and shapes.Chapter 8 – GravitationImportant Topics:1. Kepler’s Law2. Universal Law of Gravitation3. Acceleration due to gravity4. Gravitational Potential EnergyTips:a) Kepler’s law can be asked directly.b) Both numerical and direct questions or derivations can be asked from the universal law of gravitation, the acceleration due to gravity.c) Derivation of the value of G and g is also important. Derivation of acceleration due to gravity both below and above the Earth surface is important. Often numericals based on the relation between this variation in the value of g is also asked.d) Memorize the relations on a tip.e) Escape speed and time period of satellites are important topics for numerical. deriving the escape speed for certain planet or body can also be asked.f) The concept of weightlessness is good for awareness and understanding the concept more clearly. Both the types of satellites, geostationary and polar do not require intensive learning.Chapter 10 – Mechanical Properties of FluidsImportant Topics:1. Bernoulli’s Principle2. Surface Tension3. Venturi-meter4. ViscosityTips:a) The chapter holds equal weightage to reasoning short questions and numerical. Bernoulli’s principle and streamline flow is an important topic.b) Application-based numerical are asked based on the concept of Bernoulli’s equation, Venturi-meter, and hydraulic lift.c) Numerical is often asked on calculating surface tension of drops formed. An important chapter of physics class 11.Chapter 11 – Thermal Properties of MatterImportant Topics:1. Ideal Gas Equation2. Thermal Expansion3. Specific Heat Capacity4. Calorimetry5. Latent Heat6. Heat Transfer7. Newton’s Law of CoolingTips:a) Numericals based on triple point concept is asked very frequently. Majority of the topics are asked in the form of numerical. Clear concepts are required from each of the mentioned important topics as conceptual tricky questions are asked.b) Practise numerical questions on calorimetry, though these numerical involve lengthy calculations, so avoid calculations mistakes and also provide the solutions in steps.Chapter 12 – ThermodynamicsImportant Topics:1. Zeroth Law of Thermodynamics2. First Law of Thermodynamics3. Heat Engines4. Second Law of Thermodynamics5. Carnot EngineTips:a) The topic provides a good combination of questions based on the laws and heat transfer in engines and numerical.b) Intensive study of all the laws is important. Practise numerical asked for various heat engines, they are simple but involves good knowledge of all three laws and heat engines.c) Interpretation of Carnot cycle is required to solve certain problems.Chapter 13 – Kinetic TheoryImportant Topics:1. Behaviour of Gases2. Law of Equipartition Energy3. Mean Free Path4. Specific Heat capacityTips:a) Kinetic theory explains the behavior of gases. Brief understanding of behavior of gases is required. Study them using graphs for different processes.b) Law of Equipartition energy and mean free path are easy topics, practice both numerical and other short answers involving concepts.c) Make a short summary for specific heat capacity for monatomic, diatomic and polyatomic gases.The topics are easy and require short revisions while preparations.Chapter 14 – OscillationsImportant Topics:1. Simple Harmonic Motion2. SHM and Uniform Circular Motion3. Energy in SHM4. Oscillation due to Spring5. Simple PendulumTips:a) Good understanding of periodic motion and its characteristics are required for all the topics involved in the unit. Try to relate all the relations graphically and understand the concept of phase. This will ease the approach to the other topics involved further.b) Energy in SHM is a good topic, both derivations and numerical are asked.c) Oscillations due to spring and Simple pendulum are important topics, a variety of numerical are asked which requires a good knowledge of SHM and also all the relations involved, so keep them on your tips.d) Damped oscillations and resonance are important conditions to be studied, though this does not require much practice.Chapter 15 – WavesImportant Topics:1. Longitudinal and Transverse Waves2. Displacement relation in Longitudinal Waves3. Characteristics of Longitudinal and Transverse Waves4. Principle of Superposition5. Standing Waves6. Beats7. Doppler EffectTips:a) All the mentioned important topics of physics class 11 require certain basic concept to be very clear. A good understanding of both types of mechanical waves, their propagation, nature of both longitudinal and transversal waves is required.b) Also focus on superposition principle as direct numerical are asked from this topic and also numerical which include this method are also asked very frequently, so superposition of two waves and interpretation of the characteristics of resultant wave is very much required.c) Standing waves seems to be the little tricky topic but a clear derivation of all the nodes, antinodes is required to deal with the problems asked in standing waves. Same is for beats, very simple short numerical are asked from this topic.d) Doppler’s effect is a very interesting topic. Keep a clear derivation of the topic in mind while solving various situational based questions on the topic.Important questions For Physics Class 113 MARKS:Distinguish between fundamental units and derived units.What are the two types of collisions? Explain.State Newton’s first law of motion.If two equal forces are acting at a point that makes an angle of 60 degrees between them, and the resultant force is equal to 20√3N, find the magnitude of each force.State different types of equilibrium.What is the universal law of Gravitation?Define gravitational PotentialWhat is Reynold’s number?What is Surface Tension?Define SHM (Simple Harmonic Motion)What are degrees of Freedom?Define Solar Constant.Define power of a lens. What are its units?State Tangent Law.What is the distance travelled by sound in the air when a tuning fork of frequency 256Hz completes 25 vibrations? (Speed of sound in air= 343m/s)5 MARK:Write any 5 rules and conventions of writing SI Units.The horizontal range of a projectile is 4√3 times its maximum height. Find the angle of projection.State the law of conservation of angular momentum and explain it with an example.State Kepler’s law of planetary motion.Draw the graphical representation of a) Displacement, b) Velocity, c) Acceleration of a particle executing SHM. Mention the differences between them.What are the characteristics of progressive waves?List out any 5 postulates of kinetic theory of gases.10 MARK:State and prove parallelogram law of vectors and discuss the special cases.State and prove Bernoulli’s theorem.Derive Meyer’s relation.Describe the working of angstrom pyrheliometer with a diagram. (NOT FOR CBSE)Also click here for more on Physics class 11 syllabus.I hope this is helpful…

Updated for the New 2016 SAT!Are you scoring in the 600-750 range on SAT Math? Do you want to raise that score as high as possible - to a perfect 800?Getting to an 800 SAT Math score isn't easy. It'll require perfection. But with hard work and my strategies below, you'll be able to do it. I've scored 800 on Math on all my SATs, and I know what it takes. Follow my advice, and you'll get a perfect score - or get very close.Brief note: This article is suited for students already scoring a 600 on SAT math or above. If you're below this range, my "How to improve your SAT Math score" article is more appropriate for you. Follow the advice in that article, then come back to this one when you've reached a 600.OverviewA lot of SAT Math guides out there are pretty bad. They're written by people who don't have actual expertise in the test, or they contain vague advice that isn't helpful to the advanced student. You need better advice than simple SAT Math tips like "remember there's no guessing penalty!"In contrast, I've written what I believe to be the best guide on getting an 800 available anywhere. I have confidence that these strategies work because I used them myself to score 800 on SAT Math, every time I've taken the SAT. They've also worked for thousands of my students at PrepScholar.In this article, I'm going to discuss why scoring an 800 is a good idea, what it takes to score an 800, and then go into the 8 key SAT Math strategies so you know how to get an 800 on SAT Math.Stick with me - as an advanced student, you probably already know that scoring high is good. But it's important to know why an 800 Math score is useful, since this will fuel your motivation to get a high score.Finally, in this guide, I talk mainly about getting to a 800. But if your goal is a 700, these strategies still equally apply.Understand the Stakes: Why an 800 SAT Math?Let's make something clear: for all intents and purposes, a 1530+ on an SAT is equivalent to a perfect 1600. No top college is going to give you more credit for a 1580 than a 1540. You've already crossed their score threshold, and whether you get in now depends on the rest of your application.So if you're already scoring a 1550, don't waste your time studying trying to get a 1600. You're already set for the top colleges, and it's time to work on the rest of your application.But if you're scoring a 1520 or below AND you want to go to a top 10 college, it's worth your time to push your score up to a 1530 or above. There's a big difference between a 1450 and a 1550, largely because it's easy to get a 1450 (and a lot more applicants do) and a lot harder to get a 1550.A 1500 places you right around average at Harvard and Princeton, and being average is bad in terms of admissions, since the admissions rate is typically below 10%.So why get an 800 on SAT Math? Because it helps you compensate for weaknesses in other sections. By and large, schools consider your composite score moreso than your individual section scores. If you can get an 800 in SAT Math, that means you only need a 730 in SAT Reading and Writing. This gives you a lot more flexibility.MIT expects an 800 in SAT Math.There are two other scenarios where an 800 in SAT Math is really important. First is if you're planning for a quantitative or science major (like math, physics, statistics, chemistry). The second is if you're applying to a highly selective technical school like MIT or Caltech.Here's the reason: college admissions is all about comparisons between applicants. The school wants to admit the best, and you're competing with other people in the same "bucket" as you.By applying as a math/science major, you're competing against other math/science folks: people for whom SAT Math is easy. Really easy.Here are a few examples from schools. For Harvard, Princeton, MIT, Caltech, and even less selective schools like Harvey Mudd, the 75th percentile SAT Math score is an 800. That means at least 25% of all students at these schools have an 800 in SAT Math.Even more surprising: the 25th percentile score for SAT Math at MIT and Caltech are 750 and 770, respectively. This means if you score a 750 on your SAT Math, you're well below average for these schools!I'm not going to lie. SAT Math was super easy for me. I got 800 on pretty much every practice test and official SAT I ever took. This was largely because I had a strong math background and competed in math competitions like AMC/AIME. I also worked hard and applied the strategies below to achieve perfection.You're competing against people like me. And if you apply with a 700 on Math, schools like MIT, Harvard, and Princeton are going to doubt your ability. Because SAT Math is supposed to be trivially easy for you.But if you can work your way to an 800, you show that you're at an equal level (at least on this metric). Even if it takes you a ton of work, all that matters is the score you achieve at the end.Know that You Can Do ItThis isn't just some fuzzy feel-good message you see on the back of a Starbucks cup.I mean, literally, you and every other reasonably intelligent student can score an 800 on SAT Math.The reason most people don't is they don't try hard enough or they don't study the right way.Even if math wasn't your strongest suit, or you got a B+ in Calculus, you're capable of this.Because I know that more than anything else, your SAT score is a reflection of how hard you work and how smartly you study.Here's why: the SAT is a weird test. When you take it, don't you get the sense that the questions are nothing like what you've seen in school?It's purposely designed this way. The SAT can't test difficult concepts, because this would be unfair for students who never took AP Calculus. It can't ask you to solve Fermat's Last Theorem. The SAT is a national test, which means it needs a level playing field for all students around the country.So it HAS to test concepts that all high school students will cover. Basic algebra (solving single-variable equations, word problems), advanced algebra (quadratic and exponential equations), geometry (x-y coordinate geometry, circles squares and triangles), and basic statistics.You've learned all of this before in high school.But the SAT still has to make the test difficult to differentiate student skill levels, so it needs to test these concepts in strange ways. This trips up students who don't prepare, but it rewards students who understand the test well.Here's an example: Find the area of the shaded region below, if the radius of the circle is 5.This is a classic SAT type question. You might already know how to solve it. But it's unlikely you ever ran into something like this in school.The first time you see this, it might be confusing. How do you get the area of each of the shaded corners? It kind of looks like a triangle, but not really because of the curve region.But you've learned all the concepts you need to solve this.Notice that the shaded area is the area of the square, with the area of the circle punched out. To get to the answer quickly, this means that the area of a square is 10 x 10 = 100, and the area of a circle is πr^2 or π * 5 * 5 = 25π.So the area of the shaded region is 100 - 25π.The SAT math section is full of weird examples like this, some of which get much more difficult.To improve your score, you just need to:master the types of questions that the SAT tests, like the one abovedraw on the correct concepts you already know to solve the questionspractice on a lot of questions so you learn from your mistakesI'll go into more detail about exactly how to do this. First, let's see how many questions you need to get right an 800.What It Takes to Get An 800 in MathIf we have a target score in mind, it helps to understand what you need to get that score on the actual test. There are 58 questions in the Math section, and how many questions you miss determines your scaled score out of 800.From the Official SAT Practice Tests, I've taken the raw score to scaled score conversion tables from 4 tests. (If you could use a refresher on how the SAT is scored and how raw scores are calculated, read this.)Raw ScoreTest 1Test 2Test 3Test 45880080080080057790790790800567807807807905576077077079054750760750780537407507407705273074073076051710730720750Math has a REALLY strict grading scale. On 3 out of 4 tests, if you just miss a single question, you get dropped down to a 790. That's it - no perfect score!On one of these tests, you get an extra cushion of 1 question, but that's not much.This all depends on how the particular test you're taking is scored. The harder the math questions are, the more likely you can miss one question and get an 800.The safest thing to do is to aim for perfection. On every practice test, you need to aim for a perfect raw score for an 800.Whatever you're scoring now, take note of the difference you need to get to a 800. For example, if you're scoring a 700 now, you need to answer 8-9 more questions right to get to an 800.As a final example, here's a screenshot from my exact score report showing that I missed 0 questions and earned an 800.(This was from the previous 2400 version of the SAT.)OK - so we've covered why scoring a higher SAT math score is important, why you specifically are capable of improving your score, and the raw score you need to get to your target.Now we'll actually get into actionable strategies that you should use in your own studying to maximize your score improvement.Strategies to Get an 800 on SAT MathWhat's your greatest weakness?Strategy 1: Understand Your High Level Weakness: Content or Time ManagementEvery student has different flaws in SAT Math. Some people aren't comfortable with the underlying math material. Others know the math material well, but can't solve questions quickly enough in the harsh time limit.Here's how you can figure out which one applies more to you:Take only the math sections of one practice test. We have the complete list of free practice tests here.For each section, use a timer and have it count down the time allotted for that section. Treat it like a real test.If time runs out for that section and you're 100% ready to move on, then move on. If you're not ready to move on, keep on working for as long as you need. For every new answer or answer that you change, mark it with a special note as "Extra Time."When you're ready, move on to the next section, and repeat the above until you finish the second math section.Grade your test using the answer key and score chart, but we want two scores: 1) The Realistic score you got under normal timing conditions, 2) The Extra Time score. This is why you marked the questions you answered or changed during Extra Time.Get what we're doing here? By marking which questions you did under Extra Time, we can figure out what score you got if you were given all the time you needed. This will help us figure out where your weaknesses lie.If you didn't take any extra time, then your Extra Time score is the same as your Realistic score.Here's a flowchart to help you figure this out:Was your Extra Time score a 700 or above?If NO (Extra Time score < 700), then you have remaining content weaknesses. You might have weaknesses across a range of subjects, or a deep weakness in only a few subjects. (We'll cover this later). Your first plan of attack should be to develop more comfort with all SAT Math subjects.If YES (Extra Time score > 700), then:Was your Realistic score a 700 or above?If NO (Extra Time score > 700, Realistic < 700), then that means you have a difference between your Extra Time score and your Realistic score. If this difference is more than 50 points, then you have some big problems with time management. We need to figure out why this is. Are you generally slow at math across most questions? Or did particular problems slow you down? Generally, doing a lot of practice questions and learning the most efficient solutions will help reduce your time. More on this later.If YES (both Extra Time and Realistic scores > 700), then you have a really good shot at getting an 800. Compare your Extra Time and Realistic score - if they differed by more than 30 points, then you would benefit from learning how to solve questions more quickly. If not, then you likely can benefit from shoring up on your last content weaknesses and avoiding careless mistakes (more on this strategy later).Hopefully that makes sense. Typically I see that students have both timing and content issues, but you might find that one is much more dominant for you than the other. For example, if you can get an 800 with extra time, but score a 700 in regular time, you know exactly that you need to work on time management to get an 800.Strategy 2: Do a Ton of Practice, and Understand Every Single MistakeOn the path to perfection, you need to make sure every single one of your weak points is covered. Even one mistake on all of SAT Math will knock you down from an 800.The first step is simply to do a ton of practice. If you're studying from free materials or from books, you have access to a lot of practice questions in bulk. As part of our PrepScholar program, we have over 1,500 SAT questions customized to each skill.The second step - and the more important part - is to be ruthless about understanding your mistakes.Every mistake you make on a test happens for a reason. If you don't understand exactly why you missed that question, you will make that mistake over and over again.I've seen students who did 20 practice tests. They've solved over 3,000 questions, but they're still nowhere near an 800 on SAT Math.Why? They never understood their mistakes. They just hit their heads against the wall over and over again.Think of yourself as an exterminator, and your mistakes are cockroaches. You need to eliminate every single one - and find the source of each one - or else the restaurant you work for will be shut down.Here's what you need to do:on every practice test or question set that you take, mark every question that you're even 20% unsure aboutwhen you grade your test or quiz, review every single question that you marked, and every incorrect question. This way even if you guessed a question correctly, you'll make sure to review it.in a notebook, write down 1) the gist of the question, 2) why you missed it, and 3) what you'll do to avoid that mistake in the future. Have separate sections by subject and sub-topic (algebra - solving equations, data analysis - experimental interpretation, etc.)It's not enough to just think about it and move on. It's not enough to just read the answer explanation. You have to think hard about why you specifically failed on this question.By taking this structured approach to your mistakes, you'll now have a running log of every question you missed, and your reflection on why.No excuses when it comes to your mistakes.Always Go Deeper - WHY Did You Miss a Math Question?Now, what are some common reasons that you missed a question? Don't just say, "I didn't get this question right." That's a cop out.Always take it one step further - what specifically did you miss, and what do you have to improve in the future?Here are some examples of common reasons you miss a question, and how you take the analysis one step further:Content: I didn't learn the math skill or knowledge needed to answer this question.One step further: What specific math skill do I need to learn, and how will I learn this skill?Incorrect Approach: I knew the content, but I didn't know how to approach this question.One step further: How do I solve the question? How will I solve questions like this in the future?Careless Error: I misread what the question was asking for or solved for the wrong thing.One step further: Why did I misread the question? What should I do in the future to avoid this?Get the idea? You're really digging into understanding why you're missing questions.Yes, this is hard, and it's draining, and it takes work. That's why most students who study ineffectively don't improve.But you're different. Just by reading this guide, you're already proving that you care more than other students. And if you apply these principles and analyze your mistakes, you'll improve more than other students too.Bonus: If all of this is making sense to you, you'd love our SAT prep program, PrepScholar.We designed our program around the concepts in this article, because they actually work. When you start with PrepScholar, you’ll take a diagnostic that will determine your weaknesses in over forty SAT skills. PrepScholar then creates a study program specifically customized for you.To improve each skill, you’ll take focused lessons dedicated to each skill, with over 20 practice questions per skill. This will train you for your specific area weaknesses, so your time is always spent most effectively to raise your score.We also force you to focus on understanding your mistakes and learning from them. If you make the same mistake over and over again, we'll call you out on it.There’s no other prep system out there that does it this way, which is why we get better score results than any other program on the market.Check it out today with a 5-day free trial:Improve Your SAT Score by 160+ Points, GuaranteedStrategy 3: If You Have Math Content Gaps, Be Ruthless About Filling ThemWithin SAT Math, you have to master a lot of subjects. At the high level, you need to know basic algebra, advanced algebra, data analysis, and geometry. Even further, within algebra, you need to know how to solve equations, how to deal with word problems, properties of functions, etc.Here's our complete mapping of all 24 skills you need in SAT Math:Basic AlgebraLinear functionsSingle variable equationsSystems of linear equationsAbsolute valueAdvanced AlgebraManipulating polynomialsQuadratic equationsDividing polynomialsExponential functionsFunction notationSolving exponential equationsSystems of equations with nonlinear equationsProblem Solving and Data AnalysisRatios and proportionsScatterplots and graphsCategorical data and probabilitiesExperimental interpretationMedan, median, mode, standard deviationAdditional Topics Coordinate geometry - lines and slopesCoordinate geometry - nonlinear functionsGeometry - circlesGeometry - lines and anglesGeometry - solid geometryGeometry - triangles and polygonsTrigonometryComplex numbersWhew! That's a handful. This might be a greater breakdown of skills then you're used to, but at PrepScholar we believe in grouping questions by specific skill so you can train most effectively. In our program, we break down all our SAT Math content into these detailed skills so you can train your specific weaknesses.Unless you're a math whiz and are already scoring a 750-800, it's unlikely that you've mastered all of these evenly. You probably have different strengths and weaknesses across these subjects.If from the analysis of mistakes above you find that you have a content problem, you need to improve your understanding of that content.By Content problem, I mean that you're not comfortable with the underlying math concepts in a subject. Maybe you forgot how to solve a type of problem, or you forgot a formula to use, or you just don't remember the subject material.If you've identified one of these issues, you've spotted an opportunity for yourself to improve your score.Fill in the potholes of your understanding.Think of a mistake like discovering a cavity in your mouth. When your dentist fills in a cavity, he doesn't just patch up the hole right away. He cleans out the entire cavity, sterilizes it, then adds a filling.Content mistakes are similar - you have a weakness in a subject, say x-y coordinate geometry. This probably means you have a lot of other weaknesses in that subject other than the one identified by that question. Don't just focus on understanding that one question you missed.Take the opportunity to research that subject and get more practice in it. You need to find a way to get lesson material to teach yourself the main concepts that you're forgetting. Then you need to find more practice questions for this skill so you can drill your mistakes.In our SAT prep program PrepScholar, we do that work for you by splitting up our 1,500+ practice questions by skill and difficulty. If you're weak in algebra - solving equations, you get 20+ questions in a quiz dealing specifically with that skill. This repetitive practice fills up your content gap far better than any other method I know.Strategy 4: If You Miss a Question, Re-Solve It FirstWhen you're doing practice questions, the first thing you probably do is read the answer explanation and at most reflect on it a little.This is a little too easy. I consider this passive learning - you're not actively engaging with the mistake you made.Instead, try something different - find the correct answer choice (A-D), but don't look at the explanation. Instead, try to re-solve the question once over again and try to get the correct answer.This will often be hard. You couldn't solve it the first time, so why could you solve it the second time around?But this time, with less time pressure, you might spot a new strategy, or something else will pop up. Something will just "click" for you.When this happens, what you learned will stick with you for 20 times longer than if you just read an answer explanation. I know this from personal experience. Because you've struggled with it and reached a breakthrough, you retain that information far better than if you just passively absorbed the information.It's too easy to just read an answer explanation and have it go in one ear and out the other. You won't actually learn from your mistake, and you'll make that mistake over and over again.Treat each wrong question like a puzzle. Struggle with each wrong answer for up to 10 minutes. Only then if you don't get it should you read the answer explanation.Strategy 5: Master Every SAT Math Skill - Even the Rare OnesThe SAT has an uneven balance of questions by skill. Algebra dominates the test, taking up over 50% of the test. This is somewhat good news, in that if you're an Algebra whiz, you'll do well on the bulk of SAT math.The bad news is that there's a long tail of straggling skills that show up just a few times a test. We've done a careful analysis of every math question on every official SAT test, and here are the LEAST common skills in SAT math. I'll show you the frequency of appearance, as well as the expected # of questions per test for that skill.SkillFrequencyExpected Questions Per TestDividing polynomials1.72%1Trigonometry, radians1.72%1Absolute value1.29%0.75Complex numbers1.29%0.75Experimental interpretation0.86%0.5Lines and angles0.86%0.5Solid geometry0.86%0.5Systems of equations with nonlinear equations0.86%0.5Function notation0.43%0.25This might surprise you. Some of these skills have an expected # of questions lower than one.That's right: sometimes you might not even get a complex number or solid geometry question. But you have to know it anyway. You have to know it all.In some ways, this is really extreme. You have to know a LOT of topics in trigonometry, just to answer that one question per test. Here's an example:You need knowledge of radians and standard triangles to answer this question. To solve the question, you can realize that if the x length is √3, and the height is 1, then you know that this is a 30-60-90 triangle lying on its long side. Thus the angle is 30 degrees.Then, because π radians is 180 degrees, then the angle is π/6 radians, so a = 6.But notice that you weren't tested on any other items in trig - SOH CAH TOA, graphing functions like cos (90 + 2x), and converting between sin and cos. Yet you still need to know this, because you can't predict what they're going to test.This is also true of complex numbers, solid geometry (volumes, surface areas), absolute value, dividing polynomials, etc.This is the challenge of the 800 Math scorer - you need a wide BREADTH of knowledge as well as DEPTH of mastery in each one. No single test is going to test the entire breadth of your knowledge, but you must be prepared anyway.The way we handle this at PrepScholar, which is based on how I mastered the SAT myself, is to give you detailed lessons and quizzes for all 24 Math skills, and all Reading/Writing skills. For even the least common skills like complex numbers and solid geometry, you'll get dozens of questions to practice with and master the skill. You'll leave no stone unturned, which is why top scoring students love us.If you don't use PrepScholar, then you need to find great sources of practice content yourself, and to structure your study time optimally so you get both breadth and depth.Strategy 6: Finish With Extra Time and Double CheckYour goal at the end of all this work is to get so good at SAT Math that you solve every question and have extra time left over at the end of the section to recheck your work.In high school and even now, I can finish SAT Math sections in about 60% of the time allotted. This means I finish a 25 minute section in 15 minutes or less, and a 55 minute section in 35 minutes. This gives me a TON of time to recheck my answers two times over and make sure I make no careless mistakes.How can I finish a section this quickly? It comes down to mastery of the math skills and a LOT of experience with the test. When I see a question, I usually know exactly what the College Board is asking for, and I've seen so many such questions that I know exactly how to solve it in the fewest steps needed.It comes from hard work and perseverance. If you're pretty far from this time benchmark, don't fret - it took me a lot of training and experience to get to this level. (After all, I've seen thousands of questions in my own SAT prep and when designing our PrepScholar SAT program).So let's say you finish a section ahead of time. What do you do with all that extra time?Don't rest and don't put your head down. Use this valuable time to doublecheck, even triplecheck your work. Remember, even ONE question missed will bring you down from an 800 - you need to achieve perfection.What's the best way to doublecheck your work? I have a reliable method that I follow:Re-read the question again. Question your assumption about what the question is about. If the question asks for a specific variable, make sure you're solving for that variable!Try to resolve the question another way. If I solved a question algebraically, I can recheck it by plugging in the solution.If I'm 100% sure I'm right on a question, I mark it as such and never look at it again. If I'm not sure, I'll come back to it on the third pass.At least 2 minutes before time's up, I rapidly doublecheck that I bubbled the answers correctly. I try to do this all at once so as not to waste time looking back and forth between the test book and the answer sheet. Go 5 at a time ("A D E C B") for more speed.Here's an example of solving a question two ways:First way: My natural instinct is to solve this algebraically. I know I can plug in numbers, but I feel that's slower and more error prone than getting a definitive answer through solving the equation.3x - 5 ≥ 4x - 3I can rearrange in my head in one step like so:-2 ≥ x(if you make careless mistakes, like the College Board expects you to do, it's worthwhile splitting it up into smaller steps)OK, so the solutioin set is numbers less than or equal to -2. This leaves answer A as NOT the solution.Doublecheck way: Now that I know answer A should be correct, I'm going to verify by plugging that value back in and expecting the inequality to fail:3x - 5 ≥ 4x - 3-3 - 5 ≥ -4 -3-8 ≥ -7That's obviously false, so I can verify that A is the right answer. At this point I'm confident enough that I can move on and not check this question again.Another time management tip: If you notice yourself spending more than 30 seconds on a problem and aren't clear how you'll get to the answer, skip and go to the next question. Even though you need a perfect raw score for an 800, don't be afraid to skip. You can come back to it later, and on your first pass it's more important to get as many points as possible.Quick Tip: Bubbling AnswersHere's a bubbling tip that will save you 2 minutes per section.When I first started test taking in high school, I did what many students do: after I finished one question, I went to the bubble sheet and filled it in. Then I solved the next question. Finish question 1, bubble in answer 1. Finish question 2, bubble in answer 2. And so forth.This actually wastes a lot of time. You're distracting yourself between two distinct tasks - solving questions, and bubbling in answers. This costs you time in both mental switching costs and in physically moving your hand and eyes to different areas of the test.Here's a better method: solve all your questions first in the book, then bubble all of them in at once.This has several huge advantages: you focus on each task one at a time, rather than switching between two different tasks. You also eliminate careless entry errors, like if you skip question 7 and bubble in question 8's answer into question 7's slot.By saving just 10 seconds per question, you get back 200 seconds on a section that has 20 questions. This is huge.Note: If you use this strategy, you should already be finishing the section with ample extra time to spare. Otherwise, you might run out of time before you have the chance to bubble in the answer choices all at once. 5 minutes before the section ends, make sure you bubble in the answers you already have.Strategy 7: Eliminate Careless MistakesCareless mistakes are one of the most frustrating types of errors to make, and nearly everyone makes them, especially on Math.You know the underlying material, you know how to solve the question, and you're feeling good. But then you grade the quiz, and you find a careless mistake.Oops - the question asked for the perimeter of the circle and not the area, which is what you calculated.These types of errors are the most costly and frustrating. You've already put in a ton of work to master the underlying material, and here a question has tricked you into losing a point.This is why finishing the test early, like I mention above, is so helpful. You get extra time to take a breather and doublecheck your answers.If you find that careless mistakes are a recurring problem for you, here are some strategies to get rid of them:In the question, underline what the question is specifically asking you to solve for. It's so easy for the SAT to trick you into solving the wrong thing.If you're solving for a particular value (like length, area, etc), write the units down in the scratch space.Be careful with calculator entry. A missing parentheses makes a big difference. "4 + 9 / 2" is completely different from "(4 + 9) / 2"Avoid bubbling errors by using the Quick Tip above.Here's an example:This question is asking us to solve for y + z. Not x, y, or any other combination of variables.To make sure I remember this, I underline y + z, and I also write "y + z = ?" in the work space so that I remember what I'm solving for.You can bet that in many answer choices, the SAT will have trap answers for other things you can solve for, like x. (This one happens not to, but it's very common).Memorize the SAT Math Formulas.Strategy 8: Memorize the Formulas and Common Math FactsIf you're still flipping to the front of the section to look at the math formulas, you haven't gotten to understand SAT Math well enough yet.Not only does this cost you time, it also indicates that you haven't practiced enough with SAT Math to have the required formulas come to you fluidly.Memorize the formulas at the front of the section and these common math facts:calculating slope from two points (rise over run)remainder when dividing a polynomialcommon right triangles: by angles: 45-45-90 (1-1-√2), 30-60-90 (1-2-√3); and by sides: 3-4-5, 5-12-13formula for volumes, surface areasWe have a complete list of SAT Math formulas here.Strategy 9: Don't Overly Depend on the CalculatorAs you likely already know, Section 3 is a Math section forbidding the use of calculator, with 20 questions. Section 4 is a Math section that allows calculator, with 38 questions.The calculator is really useful for certain questions that require complex calculations, like multiplying decimals together or taking square roots of weird numbers.However, in many other situations, it's too much of a crutch, and it can make you soft. Learning to solve questions without the use of a calculator will strengthen your math intuition and force you to understand the underlying math, rather than relying on a calculator.Actually, every question on the SAT is solvable without a calculator. Because the College Board cares a lot about equality, it doesn't want to give an unfair advantage to students who have grown up with graphing calculators compared to students who can't afford them or never used them in school. So it designs questions that don't require advanced calculators to solve.Practically, this is important because some of the no-calculator questions are solvable WITH a calculator, and you need to wean yourself off of the calc. Here's an example:Yes - you can solve this by plugging it into your graphing calculator's systems of equations tool. But this appears on the no calculator section, so you have to get used to solving this with pen and paper.The second reason to depend less on the calculator is because solving without a calculator is actually faster in many cases. Here's an example:The calculator way to solve this would be to solve for the quadratic formula, 0 = -4.9 t2+ 25t. You can plug it in and the calculator will spit out two values for t.How I would naturally approach is to factor first:0 = t (-4.9t + 25)Obviously t = 0 is one solution, but the other solution is pretty easy to find too. I don't even need to use the calculator - I know 4.9 is close to 5, so I can see that t is close to 5. This is answer D.For me, the second way is faster and feels more robust than the first. I know I've solved for t definitively, and I'm confident in my answer choice. Whereas if I used a calculator, I don't have a "feel" for the solution - I'm purely trusting the calculator and what I entered into the calculator as correct.Now, when I doublecheck (Strategy 6), I might solve it a different way by plugging in the answer choices. I'll try plugging in answer choices C and D, and it'll be clear that D is the better answer. But this is reserved for answer checking, rather than the first time I solve it.Being able to solve SAT Math questions without a calculator will train your SAT Math skills more rigorously. This is important when you're aiming for a perfect math score.Strategy 10: Keep a Calm Mind During the Test, No Matter WhatNow you know what it takes to achieve perfection on SAT Math.You know that it's critical to get a perfect raw score, or you might score a 780.This makes a lot of students freak out during the test."I can't solve this question...my 800 is gone...I'm getting more nervous and I have to skip the next question too..."You can see how quickly you can unravel like this. Before you know it, you're scoring way worse than you ever did on a practice test.You need to learn to be mentally strong, like an athlete on game day.Yes, you might have to skip a question on the first pass through. Maybe even two in a row.But you've practiced hard up to this point. You know this stuff, and you'll come back to those questions and get it later.You need to keep up a positive mindset during the test, or you'll crumble.And in the worst case, maybe you won't get an 800. But if you've consistently been getting 800's on the practice tests, you likely won't go much lower than 750 - and that's still really good.In OverviewThose are the main strategies I have for you to improve your SAT math score to an 800. If you're scoring above a 600 right now, with hard work and smart studying, you can raise it to a perfect SAT Math score.Notice that I didn't actually teach you that much math content. I didn't point to any specific math solutions that will instantly raise your score.That's because these one-size-fits-all, guaranteed strategies don't really exist. (And anyone who tells you this is deceiving you). Every student is different.Instead, you need to understand where you're falling short, and drill those weaknesses continuously. You also need to be thoughtful about your mistakes and leave no mistake ignored.If you want to go back and review any strategies, here are quick links to them:Strategy 1: Understand Your High Level Weakness: Content or Time ManagementStrategy 2: Do a Ton of Practice, and Understand Every Single MistakeStrategy 3: If You Have Math Content Gaps, Be Ruthless About Filling ThemStrategy 4: If You Miss a Question, Re-Solve It FirstStrategy 5: Master Every SAT Math Skill - Even the Rare OnesStrategy 6: Finish With Extra Time and Double CheckStrategy 7: Eliminate Careless MistakesStrategy 8: Memorize the Formulas and Common Math FactsStrategy 9: Don't Overly Depend on the CalculatorStrategy 10: Keep a Calm Mind During the Test, No Matter WhatKeep reading for more resources on how to boost your SAT score.What's Next?We have a lot more useful guides to raise your SAT score.Read our complete guide to a perfect SAT score, written by me, a perfect scorer.Are you aiming for a top school like Harvard or the Ivy Leagues? Here's my famous guide, How to Get Into Harvard.Learn how to write a perfect-scoring 12 SAT essay, step by step.Want to improve your SAT score by 160 points? We have the industry's leading SAT prep program. Built by Harvard grads and SAT full scorers, the program learns your strengths and weaknesses through advanced statistics, then customizes your prep program to you so you get the most effective prep possible.I built the PrepScholar program based on the principles in this article - the principles that worked for me and thousands of our students.Genre: SAT (MATH)Source: Get 800 on SAT Math, by a Perfect Scorer