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Practise

Question bank

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

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12 questions

SA-4024-PR-0051 markL1 FoundationNon-calculatorAnd / or
A spinner lands on red with probability 0.30.3. It is spun twice. Find the probability that it lands on red both times.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-PR-0121 markL1 FoundationNon-calculatorAnd / or
Events AA and BB are independent, with P(A)=0.6P(A)=0.6 and P(B)=0.5P(B)=0.5. Find P(A and B)P(A\text{ and }B).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-PR-0131 markL1 FoundationNon-calculatorAnd / or
Events AA and BB are mutually exclusive, with P(A)=0.2P(A)=0.2 and P(B)=0.45P(B)=0.45. Find P(A or B)P(A\text{ or }B).

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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.

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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.

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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
Choose one option

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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 88.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-PR-0062 marksL2 StandardNon-calculatorTree diagrams
The same spinner (red with probability 0.30.3) is spun twice. Find the probability that it lands on red at least once.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-PR2-0033 marksL2 StandardNon-calculatorTree diagrams
The probability that Amy passes test 11 is 0.80.8, and test 22 is 0.70.7, independently. Find the probability that she passes exactly one test.

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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.

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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 0.30.3. If it rains, the probability that Sara is late is 0.40.4; if it does not rain, the probability is 0.10.1. Find the probability that Sara is late.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-PR-0153 marksL3 ExamCalculatorTree diagrams
A biased coin lands heads with probability 0.60.6. It is tossed three times. Find the probability of exactly two heads.

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Salam Academy Original Practice · Proposed mark scheme