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Exam Preparation · IGCSE / O Level

IGCSE / O Level Mathematics

Cambridge IGCSE and O Level Mathematics, one chapter of Cambridge IGCSE Mathematics Core and Extended at a time. Each chapter explains its ideas with worked examples, lets you try them on the page, and ends with a quiz and a printable assignment.

Topic 1 · Number

C1

Number and language

Natural numbers, integers, rational and irrational numbers, primes, factors and multiples, HCF and LCM, powers and roots, and directed numbers.

pp. 4–12

C2

Accuracy

Rounding to decimal places and significant figures, estimating, and upper and lower bounds.

pp. 13–23

C5

Further percentages

Percentage of a quantity, percentage increase and decrease, and reverse percentages.

pp. 43–49

C6

Ratio and proportion

Direct and inverse proportion, dividing in a ratio, speed, distance and time, and rates.

pp. 50–61

C8

Money and finance

Currency conversion, earnings, profit and loss, simple and compound interest, and depreciation.

pp. 73–82

C9

Time

The 12-hour and 24-hour clocks, and timetables.

pp. 83–84

Topic 2 · Algebra and graphs

C12

Algebraic indices

The laws of indices with letters, and solving equations with indices.

pp. 122–125

C13

Equations and inequalities

Linear and simultaneous equations, quadratic equations, the quadratic formula, and linear inequalities.

pp. 126–146

C14

Linear programming

Graphing inequalities, regions, and finding the best solution.

pp. 147–152

C15

Sequences

Term-to-term and position-to-term rules, the nth term, and exponential growth and decay.

pp. 153–165

C16

Proportion

Direct and inverse variation written as equations.

pp. 166–171

C18

Graphs of functions

Linear, quadratic, reciprocal, cubic and exponential graphs, and solving equations graphically.

pp. 193–218

C20

Functions

Function notation, composite functions, and inverse functions.

pp. 239–244

Topic 3 · Coordinate geometry

C21

Straight line graphs

Gradient, y = mx + c, parallel and perpendicular lines, the midpoint and the length of a line segment.

pp. 250–276

Topic 4 · Geometry

C24

Symmetry

Line and rotational symmetry in 2D, planes of symmetry in 3D, and symmetry in circles.

pp. 310–317

C25

Angle properties

Angles on lines and in polygons, parallel lines, and the circle theorems.

pp. 318–340

Topic 5 · Mensuration

C26

Measures

Metric units and converting between units of length, area, volume and mass.

pp. 346–350

C27

Perimeter, area and volume

Areas of plane shapes and circles, arcs and sectors, and the surface area and volume of solids.

pp. 351–385

Topic 6 · Trigonometry

C28

Bearings

Three-figure bearings and back bearings.

pp. 392–393

C29

Trigonometry

Sine, cosine and tangent in right-angled triangles, Pythagoras’ theorem, and angles of elevation and depression.

pp. 394–417

C30

Further trigonometry

Angles beyond 90°, the sine and cosine rules, the area of a triangle, and trigonometry in 3D.

pp. 418–435

Topic 7 · Vectors and transformations

C31

Vectors

Column vectors, adding and multiplying vectors, magnitude, and vector geometry.

pp. 440–451

C32

Transformations

Reflection, rotation, translation and enlargement, and describing a transformation fully.

pp. 452–470

Topic 8 · Probability

C33

Probability

The probability scale, theoretical and experimental probability, and relative frequency.

pp. 476–487

C34

Further probability

Sample spaces, tree diagrams, Venn diagrams, and conditional probability.

pp. 488–497

Topic 9 · Statistics

C37

Cumulative frequency

Cumulative frequency curves, the median, quartiles, percentiles and box plots.

pp. 532–540

37 of 37 chapters built. Moving on afterwards? AS & A Level Mathematics is coming soon.