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 1.5 Set language and notation Topic Practice

Edexcel IGCSE Math a 1.5 Set language and notation 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.

[Maximum number: 3]

Here is a Venn diagram.

List the members of the set

(a)

[ 1 ]

(b)

$A \cap B$

[ 1 ]

(c)

$(A \cup B)^{\prime}$

[ 1 ]

[Maximum number: 3]

The numbers from 1 to 14 are shown in the Venn diagram.

(a)

```
(a) List the members of the set $A \cap B$
```

```
A number is picked at random from the numbers in the Venn diagram.

[ 1 ]

(b)

List the members of the set $B^{\prime}$

[ 2 ]

[Maximum number: 1]

$4 \mathscr{E}=\{$ letters of the alphabet $\}$ $B=\{\mathrm{b}, \mathrm{r}, \mathrm{a}, \mathrm{z}, \mathrm{i}, \mathrm{l}\}$ $I=\{\mathrm{i}, \mathrm{r}, \mathrm{e}, \mathrm{l}, \mathrm{a}, \mathrm{n}, \mathrm{d}\}$

(a)

List the members of the set

[ 2 ]

(i)

$B \cup I$

(ii)

$B \cap I^{\prime}$ $K=\{\mathrm{k}, \mathrm{e}, \mathrm{n}, \mathrm{y}, \mathrm{a}\}$
Cody writes down the statement $B \cap K=\varnothing$ Cody's statement is wrong.

(b)

Explain why.

[ 1 ]

$4 \mathscr{E}=\{1,2,3,4,5,6,7,8,9,10,11,12\}$ $A=\{$ odd numbers $\}$ $A \cap B=\{1,3\}$ $A \cup B=\{1,2,3,4,5,6,7,9,11,12\}$
Draw a Venn diagram to show this information.

[Maximum number: 2]

$4 \mathscr{E}=\{20,21,22,23,24,25,26,27,28,29\}$ $A=\{$ odd numbers $\}$ $B=\{$ multiples of 3 $\}$
List the members of the set

(a)

$A \cap B$

[ 1 ]

(b)

$A \cup B$

[ 1 ]

[Maximum number: 5]

$4 \mathscr{E}=\{1,2,3,4,5,6,7,8,9,10\}$ $A=\{$ factors of 6 $\}$ $B=\{$ prime numbers $\}$

(a)

List the members of the set

[ 2 ]

(i)

$A \cup B$

[ 1 ]

(ii)

$A^{\prime}$

Harpreet states that $A \cap B=\varnothing$
Harpreet is incorrect.

[ 1 ]

(b)

Explain why.
C is a set with 4 members such that
the set $A \cap C$ has 2 members
the set $B \cap C$ has 2 members
Set $A \cap C$ and set $B \cap C$ have no members in common.

[ 1 ]

(c)

List the 4 members of set C

[ 2 ]

[Maximum number: 1]

$3 \mathscr{E}=\{21,22,23,24,25,26,27,28,29,30\}$ $A=\{22,24,26,28,30\}$ $B=\{21,24,27,30\}$

(a)

List the members of the set

[ 2 ]

(i)

$A \cap B$

(ii)

$A^{\prime}$ $C=\{23,25,29\}$

(b)

Using set notation, find an expression for C in terms of A and B.

[ 1 ]

[Maximum number: 3]

$4 B=\{\mathrm{b}, \mathrm{l}, \mathrm{u}, \mathrm{e}\}$ $G=\{\mathrm{g}, \mathrm{r}, \mathrm{e}, \mathrm{y}\}$ $W=\{\mathrm{w}, \mathrm{h}, \mathrm{i}, \mathrm{t}, \mathrm{e}\}$

(a)

List all the members of the set

[ 2 ]

(i)

$B \cup G$

(ii)

$W \cap G^{\prime}$

Serena writes down the statement $B \cap G \cap W=\varnothing$

[ 2 ]

(b)

Is Serena's statement correct?

You must give a reason for your answer.

[ 1 ]

[Maximum number: 4]

$5 \mathscr{E}=\{1,2,3,4,5,6,7,8,9,10,11,12\}$ $A=\{2,4,6,8,10,12\}$ $B=\{3,6,9,12\}$ $C=\{1,3,5,7,9,11\}$

(a)

List the members of the set

[ 2 ]

(i)

$A \cup B$

(ii)

$B^{\prime}$ $\mathscr{E}=\{1,2,3,4,5,6,7,8,9,10,11,12\}$ $A=\{2,4,6,8,10,12\}$ $B=\{3,6,9,12\}$ $C=\{1,3,5,7,9,11\}$

(b)

Write a symbol from the box on each dotted line to make each of the following a true statement.

[ 2 ]

(i)

$A \cap C=$

(ii)

13 $\mathscr{E}$

[Maximum number: 5]

$7 \mathscr{E}=\{23,24,25,26,27,28,29,30,31,32,33,34\}$ $A=\{$ even numbers $\}$ $B=\{23,29,31\}$ $C=\{$ multiples of 3 $\}$

(a)

List the members of the set

[ 2 ]

(i)

$B \cup C$

[ 1 ]

(ii)

$A^{\prime} \cap C$

[ 1 ]

(b)

Is it true that $B \cap C=\varnothing$ ?

Tick ( ✓ ) one of the boxes below.

Give a reason for your answer.

The set D has 4 members and is such that $D \cap(A \cup C)=\varnothing$

[ 1 ]

(c)

List the members of set D

[ 2 ]

0 selected

Question 1

Question 1(a)

Question 1(b)

Question 1(c)

Question 1

Question 1(a)

Question 1(b)

Question 4

Question 4(a)

Question 4(a)(i)

Question 4(a)(ii)

Question 4(b)

Question 4

Question 4

Question 4(i)

Question 4(ii)

Question 4

Question 4(a)

Question 4(a)(i)

Question 4(a)(ii)

Question 4(b)

Question 4(c)

Question 3

Question 3(a)

Question 3(a)(i)

Question 3(a)(ii)

Question 3(b)

Question 4

Question 4(a)

Question 4(a)(i)

Question 4(a)(ii)

Question 4(b)

Question 5

Question 5(a)

Question 5(a)(i)

Question 5(a)(ii)

Question 5(b)

Question 5(b)(i)

Question 5(b)(ii)

Question 7

Question 7(a)

Question 7(a)(i)

Question 7(a)(ii)

Question 7(b)

Question 7(c)