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-PR-0051 markL1 FoundationNon-calculatorAnd / or

A spinner lands on red with probability

0.3

. It is spun twice. Find the probability that it lands on red both times.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-0121 markL1 FoundationNon-calculatorAnd / or

Events

A

and

B

are independent, with

P(A)=0.6

and

P(B)=0.5

. Find

P(A\text{ and }B)

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-0131 markL1 FoundationNon-calculatorAnd / or

Events

A

and

B

are mutually exclusive, with

P(A)=0.2

and

P(B)=0.45

. Find

P(A\text{ or }B)

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR2-0011 markL1 FoundationNon-calculatorAnd / or

A fair coin is tossed and a fair six-sided dice is rolled. Find the probability of a head and a six.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR2-0021 markL1 FoundationNon-calculatorAnd / or

Two fair dice are rolled. Find the probability that both show a six.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-Q031 markL1 FoundationCalculatorAnd / or

On a tree diagram, the probability of a route along several branches is found by

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-0042 marksL2 StandardNon-calculatorAnd / or

Two fair six-sided dice are rolled and the scores are added. Find the probability that the total is

8

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-0062 marksL2 StandardNon-calculatorTree diagrams

The same spinner (red with probability

0.3

) is spun twice. Find the probability that it lands on red at least once.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR2-0033 marksL2 StandardNon-calculatorTree diagrams

The probability that Amy passes test

1

0.8

, and test

2

0.7

, independently. Find the probability that she passes exactly one test.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR2-0042 marksL2 StandardNon-calculatorTree diagrams

A fair dice is rolled twice. Find the probability of at least one six.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-0143 marksL3 ExamNon-calculatorTree diagrams

The probability that it rains on a given day is

0.3

. If it rains, the probability that Sara is late is

0.4

; if it does not rain, the probability is

0.1

. Find the probability that Sara is late.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-PR-0153 marksL3 ExamCalculatorTree diagrams

A biased coin lands heads with probability

0.6

. It is tossed three times. Find the probability of exactly two heads.

Salam Academy Original Practice · Proposed mark scheme