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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-9709-P5-DV-0082 marksL1 FoundationCalculatorGeometric
X∼Geo(0.3)X\sim\text{Geo}(0.3). Find P(X=4)P(X=4).

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-0101 markL1 FoundationCalculatorGeometric
X∼Geo(0.3)X\sim\text{Geo}(0.3). Find E(X)E(X).

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV4-0011 markL1 FoundationCalculatorGeometric
X∼Geo(0.2)X\sim\text{Geo}(0.2). Find P(X=3)P(X=3).

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV4-0031 markL1 FoundationCalculatorGeometric
X∼Geo(0.25)X\sim\text{Geo}(0.25). Find E(X)E(X).

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV4-0042 marksL1 FoundationCalculatorGeometric in context
A basketball player scores with probability 0.70.7 on each shot, independently. Find the probability that her first score is on her 33rd shot.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-Q031 markL1 FoundationCalculatorGeometric
For X∼Geo(p)X\sim\text{Geo}(p), P(X=r)P(X=r) is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-0092 marksL2 StandardCalculatorGeometric
X∼Geo(0.3)X\sim\text{Geo}(0.3). Find P(X>3)P(X>3).

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-0112 marksL2 StandardCalculatorGeometric in context
A fair die is thrown until a six appears. Find the probability that a six appears within the first 55 throws, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV4-0022 marksL2 StandardCalculatorGeometric
A fair die is thrown until a six appears. Find the probability that a six appears within the first 33 throws, as a fraction.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV4-0052 marksL2 StandardCalculatorGeometric
X∼Geo(0.4)X\sim\text{Geo}(0.4). Find P(X≥3)P(X\ge3).

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV4-0063 marksL3 ExamCalculatorGeometric in context
X∼Geo(0.3)X\sim\text{Geo}(0.3). Find the least value of nn such that P(X≤n)>0.9P(X\le n)>0.9.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV4-0073 marksL3 ExamCalculatorGeometric in context
A fair coin is tossed until the first head. Find the probability that the first head occurs on the 2nd, 3rd or 4th toss.

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Salam Academy Original Practice · Proposed mark scheme