Practise

Question bank

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

TopicSkillDifficulty

12 questions

SA-4024-PR3-0012 marksL1 FoundationNon-calculatorWithout replacement

A bag has

5

red and

3

green balls. Two are taken at random without replacement. Find the probability that both are green.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR3-0022 marksL1 FoundationNon-calculatorWithout replacement

A box has

7

sweets,

3

of which are toffees. Two sweets are eaten at random. Find the probability that both are toffees.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR3-0042 marksL1 FoundationNon-calculatorVenn diagrams

40

people,

25

like apples,

18

like bananas and

8

like both. Find the probability that a person chosen at random likes apples only.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR3-0061 markL1 FoundationNon-calculatorVenn diagrams

In a Venn diagram of

50

students,

12

are in "

A

only",

8

are in both

A

and

B

, and

15

are in "

B

only". Find

P(A)

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-0072 marksL2 StandardNon-calculatorWithout replacement

A bag contains

4

red and

6

blue balls. Two are taken at random without replacement. Find the probability that both are red.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-0092 marksL2 StandardNon-calculatorVenn diagrams

In a class of

30

students,

18

play football,

12

play cricket and

5

play both. A student is chosen at random. Find the probability that they play neither.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-0101 markL2 StandardNon-calculatorVenn diagrams

In the same class (

30

students;

18

football,

12

cricket,

5

both), find the probability that a student chosen at random plays cricket only.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR3-0033 marksL2 StandardNon-calculatorWithout replacement

A bag has

5

red and

3

green balls. Two are taken without replacement. Find the probability that they are different colours.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR3-0052 marksL2 StandardNon-calculatorVenn diagrams

40

people,

25

like apples,

18

like bananas and

8

like both. Find the probability that a person chosen at random likes neither.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR3-0072 marksL2 StandardNon-calculatorVenn diagrams

In a class of

30

14

study art,

12

study music and

9

study neither. How many study both?

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-0083 marksL3 ExamNon-calculatorWithout replacement

From the same bag (

4

red,

6

blue), two balls are taken without replacement. Find the probability that they are different colours.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-0165 marksL4 ChallengingNon-calculatorWithout replacement

A bag contains

3

red and

2

blue counters. Three counters are taken at random without replacement. Find (a) the probability that at least one is blue (b) the probability that exactly two are red.

Salam Academy Original Practice · Proposed mark scheme