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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-0032 marksL1 FoundationCalculatorBinomial
X∼B(10,0.3)X\sim B(10,0.3). Find P(X=3)P(X=3), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-0052 marksL1 FoundationCalculatorBinomial mean and variance
X∼B(20,0.35)X\sim B(20,0.35). Find the mean and variance of XX.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV3-0012 marksL1 FoundationCalculatorBinomial
X∼B(5,0.5)X\sim B(5,0.5). Find P(X=2)P(X=2) as a fraction.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV3-0021 markL1 FoundationCalculatorBinomial
X∼B(12,0.25)X\sim B(12,0.25). Find P(X=0)P(X=0), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV3-0042 marksL1 FoundationCalculatorBinomial mean and variance
X∼B(25,0.2)X\sim B(25,0.2). Find the mean and variance of XX.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV3-0051 markL1 FoundationCalculatorBinomial
Which situation can be modelled by a binomial distribution?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-0043 marksL2 StandardCalculatorBinomial
X∼B(8,0.25)X\sim B(8,0.25). Find P(X≤2)P(X\le2), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-0062 marksL2 StandardCalculatorBinomial
X∼B(6,0.1)X\sim B(6,0.1). Find P(X≥1)P(X\ge1), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV3-0033 marksL2 StandardCalculatorBinomial
X∼B(10,0.4)X\sim B(10,0.4). Find P(X≥2)P(X\ge2), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV3-0063 marksL2 StandardCalculatorBinomial
A multiple-choice test has 88 questions, each with 44 options. A student guesses every answer at random. Find the probability that exactly 33 answers are correct (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-0073 marksL3 ExamCalculatorBinomial
Each attempt succeeds with probability 0.20.2, independently. Find the least number of attempts nn for which the probability of at least one success is greater than 0.950.95.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-0143 marksL3 ExamCalculatorBinomial mean and variance
X∼B(n,p)X\sim B(n,p) has mean 66 and variance 4.24.2. Find nn and pp.

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Salam Academy Original Practice · Proposed mark scheme