IGCSE · Cambridge 0580

Mathematics 0580

4,825 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 Differentiation 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 Exact trigonometric values Trigonometric functions 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 Conditional probability 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

Feb/March 2018 Feb/March 2017

Example questions

State the temperature difference between $-4\degree\text{C}$ and $-9\degree\text{C}$.

The four operations · Feb/March 2017

Determine the highest common factor (HCF) of 36 and 63.

Types of number · Feb/March 2017

The explanatory data set lists these numbers: 7, 2, 3, 5, 1, 2, 6, 9, 7, 2, 6, 4, 2, 3, 6.

Averages and measures of spread · Feb/March 2017

Exchange rates displayed: the box states "1 euro = $1.09" and "$1 = 62 rupees".

Rates · Feb/March 2017

A right-angled triangle ABC is drawn, and it is NOT TO SCALE. AB is vertical and measures 6.2 m, BC is horizontal and measures 13.8 m, the angle at B is a right angle, and the angle at C is marked $x\degree$.

Right-angled triangles · Feb/March 2017

The bar chart displays how many students are in Classes A, B, C, D and F. The vertical axis is marked "Number of students" and goes from 0 to 30. The horizontal axis is marked "Class" and lists A, B, C, D, E and F. The bars shown are: A = 22, B = 15, C = 19, D = 24, F = 14. No bar is drawn for Class E.

Statistical charts and diagrams · Feb/March 2017

Give the next term in the sequence: 19, 15, 11, 7, 3.

Sequences · Feb/March 2017

Use the circle shown below, together with its centre indicated, to demonstrate this.

Geometrical constructions · Feb/March 2017

Do this without a calculator.

Fractions, decimals and percentages · Feb/March 2017

First expand the brackets, then simplify $4(5w + 3) - 2(w - 1)$.

Algebraic manipulation · Feb/March 2017