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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-ND2-0011 markL1 FoundationCalculatorInverse normal
Z∼N(0,1)Z\sim N(0,1). Find zz such that P(Z<z)=0.95P(Z<z)=0.95, correct to 3 decimal places.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND-0033 marksL2 StandardCalculatorInverse normal
X∼N(100,152)X\sim N(100,15^2). Find the value of kk such that P(X<k)=0.9P(X<k)=0.9, correct to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND-0043 marksL2 StandardCalculatorInverse normal
X∼N(100,152)X\sim N(100,15^2). Find kk such that P(X>k)=0.05P(X>k)=0.05, correct to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND2-0023 marksL2 StandardCalculatorInverse normal
X∼N(80,100)X\sim N(80,100). Find kk such that P(X>k)=0.2P(X>k)=0.2, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND2-0033 marksL2 StandardCalculatorInverse normal
X∼N(50,36)X\sim N(50,36). Find aa such that P(50−a<X<50+a)=0.9P(50-a<X<50+a)=0.9, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND2-0043 marksL2 StandardCalculatorFinding μ and σ
X∼N(μ,16)X\sim N(\mu,16) and P(X>30)=0.1P(X>30)=0.1. Find μ\mu, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND2-0053 marksL2 StandardCalculatorFinding μ and σ
X∼N(50,σ2)X\sim N(50,\sigma^2) and P(X<44)=0.15P(X<44)=0.15. Find σ\sigma, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND2-0073 marksL2 StandardCalculatorInverse normal
Exam marks are normally distributed with mean 5555 and standard deviation 1212. The top 5%5\% of candidates receive an A*. Find the minimum mark for an A*, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND-0053 marksL3 ExamCalculatorFinding μ and σ
X∼N(μ,9)X\sim N(\mu,9) and P(X<20)=0.8P(X<20)=0.8. Find μ\mu, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND-0123 marksL3 ExamCalculatorFinding μ and σ
X∼N(40,σ2)X\sim N(40,\sigma^2) and P(X>46)=0.2P(X>46)=0.2. Find σ\sigma, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND-0066 marksL4 ChallengingCalculatorFinding μ and σ
X∼N(μ,σ2)X\sim N(\mu,\sigma^2), with P(X<30)=0.25P(X<30)=0.25 and P(X>50)=0.1P(X>50)=0.1. Find μ\mu and σ\sigma, each correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND2-0066 marksL4 ChallengingCalculatorFinding μ and σ
X∼N(μ,σ2)X\sim N(\mu,\sigma^2), with P(X<20)=0.05P(X<20)=0.05 and P(X>40)=0.1P(X>40)=0.1. Find μ\mu and σ\sigma, each correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme