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 4.7 Geometrical reasoning Topic Practice

Edexcel IGCSE Math a 4.7 Geometrical reasoning 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.

Diagram NOT accurately drawn

The diagram shows a parallelogram ABCD and an isosceles triangle DEF in which D E=D F
CDF and ADE are straight lines.
Angle $B C D=58^{\circ}$
Work out the size of angle DEF.
Give a reason for each stage of your working.

Diagram NOT accurately drawn
ABCD and FGHI are parallel straight lines.
EBGJ and ECH are straight lines.
B E=C E
Angle $B E C=44^{\circ}$
Work out the size of angle JGH.
Give a reason for each stage of your working.

[Maximum number: 1]

14 A, B, C and D are points on a circle, centre O
EBF is the tangent to the circle at B

Diagram NOT
accurately drawn

Give a reason for your answer to (a)(i)

[Maximum number: 1]

Diagram NOT accurately drawn

Work out the size of the angle marked x.

[Maximum number: 1]

Diagram NOT accurately drawn

ABCD and EFGH are straight lines.
KFBJ and MGCL are parallel straight lines.

\text { angle } A B J=125^{\circ} \quad \text { angle } B F G=32^{\circ} \quad \text { angle } F G M=x^{\circ} \quad \text { angle } L C D=y^{\circ}

Give a reason for your answer to (b) (i)

93 kg of carrots and 5 kg of potatoes cost a total of 207 rand.
2 kg of the carrots cost 48 rand.
Work out the cost of 1 kg of potatoes.
rand

[Maximum number: 1]

Diagram NOT accurately drawn

A, B, C, D and E are points on a circle.
Angle $E A C=40^{\circ}$

Give a reason for your answer.

[Maximum number: 1]

Diagram NOT accurately drawn

Give a reason for your answer.

Diagram NOT accurately drawn
ABDE is a quadrilateral.
BCD is an isosceles triangle.
ABC is a straight line.

Diagram NOT accurately drawn

AEC and BED are straight lines.
Sergio says that the value of x is 58

Show that Chloe is wrong.

Give a reason for each stage of your working.

The diagram shows two triangles, CDB and BDA.

Diagram NOT accurately drawn
D C=D B
Angle $A B C=90^{\circ}$
Angle $C D B=116^{\circ}$
Angle $D A B=55^{\circ}$
Work out the size of the angle marked x.
Give a reason for each stage of your working.

[Maximum number: 1]

16 A, B, C and D are points on a circle, centre O

Give a reason for your answer to part (a)(i)

0 selected

Question 3

Question 5

Question 14(a)(ii)

Question 6(c)

Question 8(b)(ii)

Question 16(a)(ii)

Question 6(a)(ii)

Question 7(b)

Question 8

Question 16(a)(ii)