O Level · Cambridge 4024

Mathematics 4024

1,443 practice questions with worked solutions, organised by topic and past-paper session. Practise any question and get your answer marked instantly.

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Number Types of number Sets Powers and roots Fractions, decimals and percentages Ordering The four operations Indices I Standard form Estimation Limits of accuracy Ratio and proportion Rates Percentages Using a calculator Time Money Exponential growth and decay Surds Algebra and graphs Introduction to algebra Algebraic manipulation Algebraic fractions Indices II Equations Inequalities Sequences Proportion Graphs in practical situations Graphs of functions Sketching curves Functions Coordinate geometry Coordinates Drawing linear graphs Gradient of linear graphs Length and midpoint Equations of linear graphs Parallel lines Perpendicular lines Geometry Geometrical terms Geometrical constructions Scale drawings Similarity Symmetry Angles Circle theorems I Circle theorems II Mensuration Units of measure Area and perimeter Circles, arcs and sectors Surface area and volume Compound shapes and parts of shapes Trigonometry Pythagoras' theorem Right-angled triangles Non-right-angled triangles Pythagoras' theorem and trigonometry in 3D Transformations and vectors Transformations Vectors in two dimensions Magnitude of a vector Vector geometry Probability Introduction to probability Relative and expected frequencies Probability of combined events Statistics Classifying statistical data Interpreting statistical data Averages and measures of spread Statistical charts and diagrams Scatter diagrams Cumulative frequency diagrams Histograms

By past paper

May/June 2016 May/June 2015

Example questions

Evaluate $1\frac{1}{3}+\frac{3}{8}$.

Fractions, decimals and percentages · May/June 2015

$P=(3\ 4\ -5)$ and $Q=\begin{pmatrix}-1&1\\1&0\\0&-1\end{pmatrix}$.

Vectors in two dimensions · May/June 2015

Put $\frac{1}{x}+2-\frac{3}{x+1}$ into a single fraction in simplest form.

Algebraic fractions · May/June 2015

Since $6^x=9$.

Indices I · May/June 2015

The figure shows triangle $ABC$ and triangle $XYZ$ are similar. The side lengths are $AB=3$ cm, $BC=8$ cm, $YZ=12$ cm and $ZX=15$ cm.

Similarity · May/June 2015

A pie chart shows the counts of adults, girls and boys in a group of people. The angles for the adults and girls are $80^\circ$ and $120^\circ$ respectively.

Statistical charts and diagrams · May/June 2015

$A$ lies at $(1,7)$ and $B$ lies at $(6,7)$. By the translation $\begin{pmatrix}0\\-5\end{pmatrix}$, the line $AB$ is carried onto the line $PQ$.

Transformations · May/June 2015

Write this as one matrix expression: $\begin{pmatrix}-1&-3\\1&0\end{pmatrix}-\begin{pmatrix}1&-2\\2&-5\end{pmatrix}$.

Introduction to algebra · May/June 2015

Factorise $3-12a^2$ completely.

Algebraic manipulation · May/June 2015

The universal set is $\mathcal{E}=\{x:x\text{ is an integer},\ 40\le x\le50\}$, and $P=\{x:x\text{ is a prime number}\}$ while $Q=\{x:x\text{ is a multiple of }6\}$.

Sets · May/June 2015