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-9709-P5-PR-0081 markL1 FoundationCalculatorBasic rules

Two fair dice are thrown. Find the probability that the total is

8

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR1-0012 marksL1 FoundationCalculatorBasic rules

One card is drawn at random from a standard pack of

52

. Find the probability that it is a heart or a king.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR1-0023 marksL1 FoundationCalculatorVenn diagrams

30

students,

18

study French,

12

study Spanish and

5

study both. A student is chosen at random. Find the probability that the student studies neither language.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR1-0041 markL1 FoundationCalculatorBasic rules

Two fair dice are thrown. Find the probability that the total is

7

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR1-0051 markL1 FoundationCalculatorBasic rules

A fair coin is tossed and a fair die is thrown. Find the probability of a head and an even number.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR-G012 marksL1 FoundationCalculatorBasic rules

P(A)=0.4

P(B)=0.5

and

P(A\cap B)=0.15

. Find

P(A\cup B)

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR-Q031 markL1 FoundationCalculatorBasic rules

A

and

B

are mutually exclusive, then

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR-0132 marksL2 StandardCalculatorBasic rules

A fair die is thrown

4

times. Find the probability of at least one six, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR1-0033 marksL2 StandardCalculatorVenn diagrams

P(A)=0.5

P(B)=0.35

and

P(A\cup B)=0.7

. Find

P(A\cap B)

and

P(A\cap B')

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR1-0063 marksL2 StandardCalculatorVenn diagrams

P(A')=0.6

P(B)=0.3

and

P(A\cap B)=0.1

. Find

P(A\cup B)

and

P(A'\cap B')

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR1-0072 marksL2 StandardCalculatorBasic rules

Two fair dice are thrown. Find the probability that the product of the scores is even.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR1-0083 marksL3 ExamCalculatorVenn diagrams

In a class of

50

20

play football,

15

play tennis and

8

play both. A pupil is chosen at random. Find the probability that the pupil plays exactly one of the two sports.

Salam Academy Original Practice · Proposed mark scheme