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 2.5 Proportion Topic Practice

Edexcel IGCSE Math a 2.5 Proportion 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.

2.5.HA Set up problems involving direct or inverse proportion

14 F is inversely proportional to the square of v.
Given that F=6.5 when v=4
find a formula for F in terms of v.

17 y is inversely proportional to $\sqrt{x}$ $y=c^{4}$ when $x=c^{2}$ where c is a positive constant.
Find a formula for y in terms of x and c
Give your answer in its simplest form.

[Maximum number: 5]

The following table gives values of x and y where y is inversely proportional to the square of x.

(a)

Find a formula for y in terms of x.

Given that x>0

[ 3 ]

(b)

find the value of x when y=144

[ 2 ]

[Maximum number: 6]

16 A is inversely proportional to the square of r A=5 when r=0.3

(a)

Find a formula for A in terms of r

[ 3 ]

(b)

Find the value of A when r=7.5 A

[ 3 ]

[Maximum number: 4]

14 T is directly proportional to the cube of r
T=21.76 when r=4

(a)

Find a formula for T in terms of r

[ 3 ]

(b)

Work out the value of T when r=6

[ 1 ]

15 A is inversely proportional to $C^{2}$
A=40 when C=1.5
Calculate the value of C when A=1000

17 M varies directly as the cube of h M=4 when h=0.5

Find the value of h when M=500

17 Q is directly proportional to the square root of d
Q=4.5 when d=324
Find a formula for Q in terms of d

[Maximum number: 6]

19 P is inversely proportional to $y^{2}$ When y=4, P=a

(a)

Find a formula for P in terms of y and a

Given also that y is directly proportional to $\sqrt{x}$ and when x=a, P=4 a

[ 3 ]

(b)

find a formula for P in terms of x and a

[ 3 ]

[Maximum number: 4]

20 T is inversely proportional to $m^{2}$
T=30 when m=0.5

(a)

Find a formula for T in terms of m.

[ 3 ]

(b)

Work out the value of T when m=0.1

[ 1 ]

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Question 14

Question 17

Question 16

Question 16(a)

Question 16(b)

Question 16

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Question 14

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Question 15

Question 17

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Question 19

Question 19(a)

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Question 20

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