1 Numbers and the number system

1.1 Integers

1.2 Fractions

1.3 Decimals

1.4 Powers and roots

1.5 Set language and notation

1.6 Percentages

1.7 Ratio and proportion

1.8 Degree of accuracy

1.9 Standard form

1.10 Applying number

1.11 Electronic calculators

2 Equations, formulae and identities

2.1 Use of symbols

2.2 Algebraic manipulation

2.3 Expressions and formulae

2.4 Linear equations

2.5 Proportion

2.6 Simultaneous linear equations

2.7 Quadratic equations

2.8 Inequalities

3 Sequences, functions and graphs

3.1 Sequences

3.2 Function notation

3.3 Graphs

3.4 Calculus

4 Geometry and trigonometry

4.1 Angles, lines and triangles

4.2 Polygons

4.3 Symmetry

4.4 Measures

4.5 Construction

4.6 Circle properties

4.7 Geometrical reasoning

4.8 Trigonometry and Pythagoras’ theorem

4.9 Mensuration of 2D shapes

4.10 3D shapes and volume

4.11 Similarity

5 Vectors and transformation geometry

5.1 Vectors

5.2 Transformation geometry

6 Statistics and probability

6.1 Graphical representation of data

6.2 Statistical measures

6.3 Probability

IGCSE Math a 4.8 Trigonometry and Pythagoras’ theorem Topic Practice

Edexcel IGCSE Math a 4.8 Trigonometry and Pythagoras’ theorem question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.

EduNinja keeps Math a practice aligned to Edexcel, so you can move from topic review into exam-style question bank work without losing the syllabus structure. Start with a small set, mark the weak steps, then return to nearby topic links when a definition, graph, calculation, or explanation needs repair.

In triangle PQR,
S is the point on PR such that angle $R S Q=90^{\circ}$ $R Q=14 \mathrm{~cm}$ $R S=10 \mathrm{~cm}$ $S P=5 \mathrm{~cm}$
Work out the length of PQ.
4 a, a, b and 40 are four numbers.
a is the least number.
40 is the greatest number.
The range of the four numbers is 14
The median of the four numbers is 30
Work out the value of a and the value of b.

\begin{aligned} & a= \\ & b= \end{aligned}

The diagram shows triangle PQR

Diagram NOT accurately drawn

Work out the value of x
Give your answer correct to one decimal place.

The diagram shows a rectangle and a diagonal of the rectangle.

Diagram NOT accurately drawn

Work out the length of the diagonal of the rectangle.
Give your answer correct to 1 decimal place.
cm

The diagram shows triangle ABC

Diagram NOT accurately drawn

Work out the length of the side AB
Give your answer correct to 3 significant figures.

The diagram shows triangle PQR.

Diagram NOT accurately drawn

Work out the value of x
Give your answer correct to one decimal place.

The diagram shows a triangle ABC inside a semicircle.

\section*{Diagram NOT accurately drawn}

A, B and C are points on the semicircle.
AB is the diameter of the semicircle.
Angle $A C B=90^{\circ}$
Angle $B A C=50^{\circ}$ $A C=18 \mathrm{~cm}$
Work out the perimeter of the semicircle.
Give your answer correct to 2 significant figures.
cm

The diagram shows triangle ABC

Diagram NOT
accurately drawn

Work out the value of x
Give your answer correct to one decimal place.

Here is a right-angled triangle.

Diagram NOT accurately drawn

Work out the value of x.
Give your answer correct to one decimal place.

Markus makes a steel framework.
The framework is in the shape of the right-angled triangle ABC shown in the diagram.

Diagram NOT accurately drawn

The steel that Markus uses costs $ 22 per metre.
The steel can only be bought in a length that is a whole number of metres.
Work out the total cost of the steel that Markus buys in order to make the framework.

The diagram shows a right-angled triangle.

Diagram NOT accurately drawn

Calculate the value of x.
Give your answer correct to one decimal place.

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Question 3

Question 3

Question 4

Question 3

Question 6

Question 8

Question 5

Question 7

Question 7

Question 7