Book1

Topics ListArithmeticAlgebraGeometryWord Problems1. Properties of Integers1. Simplifying Algebraic Expressions1. Lines1. Rate Problems2. Fractions2. Equations2. Intersecting Lines and Angles2. Work Problems3. Decimals3. Solving Linear Equations with One Unknown3. Perpendicular Lines3. Mixture Problems4. Real Numbers4. Solving Two Linear Equations with Two Unknowns4. Parallel Lines4. Interest Problems5. Ratio and Proportion5. Solving Equations by Factoring5. Polygons (Convex)5. Discount6. Percents6. Solving Quadratic Equations6. Triangles6. Profit7. Powers and Roots of Numbers7. Exponents7. Quadrilaterals7. Sets8. Descriptive Statistics8. Inequalities8. Circles8. Geometry Problems9. Sets9. Absolute Value9. Rectangular Solids and Cylinders9. Measurement Problems10. Counting Methods10. Functions10. Coordinate Geometry10. Data Interpretation11. Discrete Probability

ArithmeticPg no.Qn no.Difficulty Level1. Properties of Integers2004430232321833187532697339133

2. Fractions19215

3. Decimals30231313634. Real Numbers

5. Ratio and Proportion20456207663002330129307433084732081321823321143511613541686. Percents51125729593419081931919321194251963120457204582097121794218962241142241152271232311362341442361522431712451772471812471822481852542012932295829921304373064031055312613136232594337127346147347151

7. Powers and Roots of Numbers5215

8. Descriptive Statistics462498509583158326243634619112192161963020353207672169121910122210922311223013223013523414524818325720829920305383167032184322873291093301103341203341213351233411393431433451463491549. Sets6345634722812629453094931466323893249333913434113734113810. Counting Methods501122812823514826622811. Discrete Probability4744871901020868221107244173251193260215293330539336125

AlgebraPg no.Qn no.Difficulty Level

1. Simplifying Algebraic Expressions55241894198372087021589230134239160248184250190251195258209355171

2. Equations226120

3. Solving Linear Equations with One Unknown1911119629197341994220354206642097221690220102249187262220298173043630744312604. Solving Two Linear Equations with Two Unknowns573020147213832179322913125219829593033431978322883391323431425. Solving Equations by Factoring5316

6. Solving Quadratic Equations593560372004521999231137238157241166243169250191260216264223314673177132286326993501563521632231117. Exponents24718026723031053351160

57308. Inequalities593361411921420250209732291302331432501922662293033330948309503095232492328104328105350158353164354167354169

192149. Absolute Value202512931

634510. Functions63472281263238932596

GeometryPg no.Qn no.Difficulty Level

1. Lines2956

2. Intersecting Lines and Angles3531663. Perpendicular Lines4. Parallel Lines5. Polygons (Convex)20562

6. Triangles53195728210752169223915923916125821029919311563177331979331113337128346149349155

7. Quadrilaterals6448189319113220104226121235147241165306423451453481528. Circles6036198362086924517525921330435327100333117334119335122353165

9. Rectangular Solids and Cylinders47554205422193182117825219730230327102338130356174

10. Coordinate Geometry60391907195282004320561208692542022562062582112592132662282961131874337129349155

Word ProblemsPg no.Qn no.Difficulty Level

1. Rate Problems603829816299223281063321152. Work Problems297123. Mixture Problems4. Interest Problems61405. Discount6. Profit7. Sets8. Geometry Problems9. Measurement Problems10. Data Interpretation197332035522210922712430845

AdditionalPg no.Qn no.Difficulty LevelOperations on rational numbers461486511352145421188119217193191932219423195271993919940199412014620148210762138421485218972191002201032211062211082231112271222301332321392341462351492361502361512381582411642431702431712491862491882531992532002572072612172612182632222652262652272961030128338131

Applied problems463573018961983820149203552045920560206632117921281212822138321486215882189621998221105223113226119227123228125229129229131230135232140233141234144234145237153237154240162242167242168246178246179248185250189251194255203256205257208259212260214264224300253043730951310543146831876318773239032391329108342141343142347150347151348153

Volume475542054221931821178356174

Angles and their measure5010

Properties of numbers501152155318552356266242624418821895193201942419426196322097421177214872189522311022511622511722511822812723113823715524016324417425219625520426221926322126522529572971329714301273064130846312583136431772320803259532698327101328103331111331112333118340135340136344144346148350157350159354169355170355172355173

Operations on radical expressions53171909198352025224517629715

Arithmetic operations5625562729443012631467329107333116336124336126342140352162352163355173

Distance problem6038

Interpretation of graphs1907

Interpretation of graphs and tables19733222109

Interpretation of tables20355227124

Measurement conversion20765

Estimation21280233142

Elementary combinatorics228128235148266228

Computation with integers238156244172311573136532185

Sequences and series2981830024

Place value3023131875339133

Rounding3023131363

Tables30845

Order31569

Surface area30230

Operations with integers31259

Additional 1Pg no.Qn no.Difficulty Level

Operations on rational numbers461486511352145421188119217193191932219423195271993919940199412014620148210762138421485218972191002201032211062211082231112271222301332321392341462351492361502361512381582411642431702431712491862491882531992532002572072612172612182632222652262652272961030128338131

Applied problems463573018961983820149203552045920560206632117921281212822138321486215882189621998221105223113226119227123228125229129229131230135232140233141234144234145237153237154240162242167242168246178246179248185250189251194255203256205257208259212260214264224300253043730951310543146831876318773239032391329108342141343142347150347151348153

Volume

Angles and their measure5010

Properties of numbers

5318552356266242624418821895193201942419426196322097421177214872189522311022511622511722511822812723113823715524016324417425219625520426221926322126522529572971329714301273064130846312583136431772320803259532698327101328103331111331112333118340135340136344144346148350157350159354169355170355172355173

Operations on radical expressions53171909198352025224517629715

Arithmetic operations5625562729443012631467329107333116336124336126342140352162352163355173

Distance problem

Interpretation of graphs

Interpretation of graphs and tables

Interpretation of tables

Measurement conversion20765

Estimation21280233142

Elementary combinatorics

Computation with integers238156244172311573136532185

Sequences and series2981830024

Place value

Rounding

Tables

Order31569

Surface area

Operations with integers31259

All qns46118812931462188229324631893293347418942944475189529454861896295648719072957498190829585091909295950101901029610501119111296115112191122971251131911329713521419214297145215192142971553161921529816531719216298175318192172981853191931829919542019319299205421193192992154221932029922552319321300235524193223002456251942330025562619424301265627194253012757281942630128572919527301295730195283023057301962930231573019630302315831196313023258321963230333593319733303345934197343043559351983530436603619836304376037198373043760381983830538603919939305396140199403064061411994130641624219942306426243200433074362442004430744634520045308456345201463084563462014730846634720148308476347201493094864482025030949202513095020252309512035330952203543105320355310542035531055204563115620457311572045831258204593125920560312602056131261205623136220663313632066431364207653136520766314662076731467208683146720869314682086931569208703167020971317712097231772209733177320974318742107531875210763187621177318772117831978211793197921280320802128132081212823218221383321832138332184213843218521485322862148632287214873228821588323892158932389216903239021691323912169232492217933249321794325942189532595218963259621896326972189732698219983269921999327100219100327101219101327102220102328103220103328104220104328105221105328106221106329107221107329108221108329109222109330110222109331111223110331112223111331113223111332114223112332115223113333116224114333117224115333118225116334119225117334120225118334121226119335122226120335123226121336124227122336125227123336126227123337127227124337128228125337129228126338130228126338131228127339132228128339133229129339134229130340135229131340136229131341137230132341138230133341139230134342140230135342141230135343142231136343142231137343143231138344144232139345145232140345146233141346147233142346148233143346149234144347150234144347151234145347151234145348152234146348153235147349154235148349155235149349155236150350156236151350157236152350158237153350159237154351160237155351161238156352162238157352163238158352163239159353164239160353165239161353166240162354167240163354168241164354169241165354169241166355170242167355171242168355172243169355173243170355173243171356174243171244172244173244174245175245176245177246178246179247180247181247182248183248184248185248185249186249187249188250189250190250191250192251193251194251195252196252197252198253199253200254201254202255203255204256205256206257207257208257208258209258210258211259212259213259213260214260215260216261217261218262219262220263221263222264223264224265225265226265227266228266228266229267230

Topics List 1ArithmeticAlgebraGeometryWord ProblemsModules1. Properties of Integers1. Simplifying Algebraic Expressions6. Percents8. Descriptive Statistics2. Fractions2. Equations5. Discount3. Mixture Problems3. Decimals3. Solving Linear Equations with One Unknown6. Profit4. Real Numbers4. Solving Two Linear Equations with Two Unknowns4. Interest Problems7. Quadrilaterals5. Solving Equations by Factoring8. Circles7. Exponents6. Solving Quadratic Equations8. Inequalities9. Rectangular Solids and Cylinders9. Absolute Value5. Ratio and Proportion10. Functions9. Measurement Problems10. Counting Methods7. Powers and Roots of Numbers1. Lines2. Intersecting Lines and Angles11. Discrete Probability3. Perpendicular Lines9. Sets4. Parallel Lines1. Rate Problems5. Polygons (Convex)2. Work Problems6. Triangles10. Data Interpretation10. Coordinate Geometry

Sheet41. AlgebraIncludes linear equations and word problems that would require framing linear equations to get the solution.

2. Series: Arithmetic and Geometric SequencesAP, GP, infinite geometric progressions, summation of series.

3. Descriptive StatisticsProblems on simple averages (Arithmetic Mean), Weighted Arithmetic Mean (weighted averages), Median, Mode, Range, Standard Deviation and mixtures and alligations

4. InequalitiesInequalities is considered to be one of the hard topics in the problem solving section. Questions involving algebraic expression, modulus, exponents in inequalities are covered.

5. GeometryTriangles, similar triangles, right triangles, equilateral triangles, lines, parallel lines, angles, quadrilaterals, circles.

6. Mensuration - Solid GeometryArea, volume, surface area, of 3d objects such as cuboids, cubes, spheres, hemispheres, cones, cylinders, pyramids and prisms.

7. Coordinate GeometrySlopes, intercepts, quadrants, distance between points, midpoint theorem, coordinates of Centroid, incenter. Finding area of a triangle given coordinates of its vertices.

8. Number Properties, Theory & Number SystemsLCM, HCF, remainders, factorials, unit digits of numbers, word problems.

9. PercentagesPercentages to fraction or decimal conversion and the reverse. Problems using the concept of percentages.

10. Counting Methods (Permutation, Combination) and Discrete ProbabilityPermutation, combination, sampling with replacement, ordering, re-arrangement of letters of a word, seating arrangements.

11. ProfitsProfit, loss, expressed as a percentage of cost price, discounts, marked price.

12. Quadratic EquationsNature of roots, real roots, imaginary roots, equal roots, solution to quadratic equations, word problems that require framing quadratic equutions to get the solution.

13. Ratio, Proportion and VarianceStandard problems that involve ratios and proportion, continued proportions, direct and inverse variations.

14. Sets (Set Theory)Union, intersection of sets, disjoint sets, mutually exclusive sets.

15. Simple and Compound InterestSimple interest, compound interest, compounding periods other than on an annual basis.

16. Rates : Speed, Time and DistanceAverage speed, relative speed, train problems, boats in streams, races.

17. Rates : Work - Time and Pipes - CisternsAmount of work done by a man or woman, time taken by pipes to fill a cistern.

Sheet51. Absolute Values/Modules2. Algebra3. Arithmetic4. Combinations5. Coordinate Geometry6. Distance/Rate Problems7. Divisibility/Multiples/Factors8. Exponents/Powers9. Fractions/Ratios/Decimals10. Functions and Custom Characters11. Geometry12. Graphs and Illustrations13. Inequalities14. Min/Max Problems15. Mixture Problems16. Must or Could be True Questions17. Number Properties18. Overlapping Sets19. Percents and Interest Problems20. Probability21. Remainders22. Roots23. Sequences24. Statistics and Sets Problems25. Word Problems26. Work/Rate Problems

ModulesClassification of Numbers