Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

12 questions

SA-4024-NU1-0042 marksL1 FoundationCalculatorVenn diagrams

In a class of

30

students,

18

like tea,

15

like coffee and

7

like both. How many like neither?

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU1-0051 markL1 FoundationCalculatorSet notation

\xi=\{1,2,3,\ldots,12\}

A=\{\text{multiples of }3\}

and

B=\{\text{even numbers}\}

. Find

n(A\cap B)

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU1-0081 markL1 FoundationCalculatorVenn diagrams

n(A)=20

n(B)=14

and

n(A\cap B)=6

. Find

n(A\cup B)

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU5-0011 markL1 FoundationNon-calculatorSet notation

\xi=\{1,2,\ldots,10\}

and

A=\{\text{prime numbers}\}

. Find

n(A)

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU5-0021 markL1 FoundationNon-calculatorSet notation

A=\{2,4,6,8\}

and

B=\{1,2,3,4\}

. Find

n(A\cup B)

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU5-0031 markL1 FoundationNon-calculatorSet notation

\xi=\{1,2,\ldots,8\}

and

A=\{1,3,5\}

. Find

n(A')

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU5-0041 markL1 FoundationCalculatorSet notation

The symbol

\varnothing

means

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU5-0051 markL1 FoundationCalculatorSet notation

Which statement is true?

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU-0132 marksL2 StandardCalculatorVenn diagrams

n(A)=12

n(B)=9

and

n(A\cup B)=17

. Find

n(A\cap B)

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU5-0061 markL2 StandardNon-calculatorVenn diagrams

In a three-set Venn diagram,

n(A\cap B)=5

and

n(A\cap B\cap C)=2

. How many elements are in

A

and

B

but not

C

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU5-0082 marksL2 StandardNon-calculatorVenn diagrams

n(\xi)=50

n(A)=22

n(B)=30

and

n(A\cap B)=9

. Find

n(A'\cap B')

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU5-0073 marksL3 ExamNon-calculatorVenn diagrams

40

people,

25

like apples,

20

like bananas,

x

like both and

3

like neither. Find

x

Salam Academy Original Practice · Proposed mark scheme