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Topical›Mathematics - Additional 0606›By topic

Cambridge IGCSE Mathematics - Additional by topic

0606 · every question Cambridge has set, grouped by the official syllabus and compiled into a paper you can sit. 707 questions, free to read.

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1

Functions

58 questions
1.1Understand the terms: function, domain8 questions·questions coming2017–20201.2Find the domain and range of functions11 questions·95 marks·1h 47m2017–20241.3Recognise and use function notation1 question·questions coming20201.4Understand the relationship betweenBeing populated1.5Explain in words why a given function doesBeing populated1.6Find the inverse of a one–one function19 questions·160 marks·3h2017–20241.7Form and use composite functions16 questions·137 marks·2h 34m2017–20241.8Use sketch graphs to show the relationship3 questions·questions coming2017–2023
2

Quadratic functions

44 questions
2.1Find the maximum or minimum value of the11 questions·80 marks·1h 30m2017–20242.2Use the maximum or minimum value of f(x) to4 questions·questions coming2018–20232.3Know the conditions for f(x) = 0 to have12 questions·68 marks·1h 17m2017–20242.4Solve quadratic equations for real roots6 questions·questions coming2017–20232.5Find the solution set for quadratic inequalities11 questions·48 marks·54 min2018–2024
3

Factors of polynomials

32 questions
3.1Know and use the remainder and factor11 questions·74 marks·1h 23m2018–20233.2Find factors of polynomials12 questions·78 marks·1h 28m2017–20233.3Solve cubic equations9 questions·questions coming2017–2024
4

Equations, inequalities and graphs

44 questions
4.1Solve equations of the type15 questions·85 marks·1h 36m2017–20244.2Solve graphically or algebraically inequalities8 questions·questions coming2019–20244.3Use substitution to form and solve a quadratic13 questions·99 marks·1h 51m2017–20234.4Sketch the graphs of cubic polynomials and6 questions·questions coming2018–20214.5Solve graphically cubic inequalities of the form2 questions·questions coming2020–2021
5

Simultaneous equations

24 questions
5.1Solve simultaneous equations in two24 questions·155 marks·2h 54m2017–2024
6

Logarithmic and exponential functions

45 questions
6.1Know and use simple properties and graphs6 questions·questions coming2017–20246.2Know and use the laws of logarithms19 questions·136 marks·2h 33m2017–20236.3Solve equations of the form ax = b20 questions·144 marks·2h 42m2017–2023
7

Straight-line graphs

51 questions
7.1Use the equation of a straight line18 questions·116 marks·2h 11m2017–20247.2Know and use the condition for two lines to10 questions·80 marks·1h 30m2017–20227.3Solve problems involving midpoint and length10 questions·82 marks·1h 32m2017–20247.4Transform given relationships to and from13 questions·82 marks·1h 32m2017–2024
8

Coordinate geometry of the circle

4 questions
8.1Know and use the equation of a circle withBeing populated8.2Solve problems involving the intersection of a4 questions·questions coming2021–20248.3Solve problems involving tangents to a circleBeing populated8.4Solve problems involving the intersection ofBeing populated
9

Circular measure

16 questions
9.1Solve problems involving the arc length and16 questions·123 marks·2h 18m2017–2024
10

Trigonometry

72 questions
10.1Know and use the six trigonometric functions6 questions·questions coming2018–202110.2Understand and use the amplitude and8 questions·questions coming2019–202210.3Draw and use the graphs of5 questions·questions coming2019–202310.4Use the relationships8 questions·questions coming2020–202410.5Solve, for a given domain, trigonometric31 questions·281 marks·5h 16m2017–202410.6Prove trigonometric relationships involving the14 questions·118 marks·2h 13m2017–2024
11

Permutations and combinations

20 questions
11.1Recognise the difference betweenBeing populated11.2Know and use the notation n! andBeing populated11.3Solve problems on arrangement and selection20 questions·135 marks·2h 32m2017–2024
12

Series

42 questions
12.1Use the binomial theorem for expansion of18 questions·128 marks·2h 24m2017–202412.2Use the general term3 questions·questions coming2019–202412.3Recognise arithmetic and geometric3 questions·questions coming2021–202312.4Use the formulas for the nth term and for the14 questions·142 marks·2h 40m2020–202412.5Use the condition for the convergence of a4 questions·questions coming2020–2024
13

Vectors in two dimensions

37 questions
13.1Understand and use vector notation2 questions·questions coming2019–202213.2Know and use position vectors and unit10 questions·71 marks·1h 20m2017–202413.3Find the magnitude of a vector; add and18 questions·145 marks·2h 43m2017–202413.4Compose and resolve velocities7 questions·questions coming2017–2022
14

Calculus

218 questions
14.1Understand the idea of a derived function1 question·questions coming201914.2Use the notationsBeing populated14.3Know and use the derivatives of the standard9 questions·questions coming2017–202314.4Differentiate products and quotients of25 questions·201 marks·3h 46m2017–202314.5Use differentiation to find gradients, tangents41 questions·349 marks·6h 33m2017–202414.6Use differentiation to find stationary points21 questions·194 marks·3h 38m2017–202414.7Apply differentiation to connected rates of19 questions·126 marks·2h 22m2018–202414.8Apply differentiation to practical problems11 questions·97 marks·1h 49m2017–202414.9Use the first and second derivative tests to6 questions·questions coming2017–202314.10Understand integration as the reverse process18 questions·144 marks·2h 42m2017–202414.11Integrate sums of terms in powers of x4 questions·questions coming2017–202314.12Integrate functions of the form10 questions·81 marks·1h 31m2017–202314.13Evaluate definite integrals and apply30 questions·261 marks·4h 54m2017–202414.14Apply differentiation and integration20 questions·162 marks·3h 02m2017–202414.15Make use of the relationships in3 questions·questions coming2017–2023