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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-IAL-S2-CD-0013 marksL1 FoundationCalculatorMean & variance
X∼U[−3,5]X\sim U[-3,5]. Find E(X)E(X) and Var(X)\text{Var}(X).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S2-CD-0032 marksL1 FoundationCalculatorUniform probabilities
X∼U[0,20]X\sim U[0,20]. Find P(4<X≤9)P(4<X\le9).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S2-CD1-0011 markL1 FoundationNon-calculatorUniform probabilities
X∼U[0,5]X\sim U[0,5]. Write down the value of the probability density function for 0≤x≤50\le x\le5.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S2-CD1-0021 markL1 FoundationNon-calculatorMean & variance
X∼U[3,11]X\sim U[3,11]. Write down E(X)E(X).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S2-CD1-0031 markL1 FoundationNon-calculatorMean & variance
X∼U[0,12]X\sim U[0,12]. Find Var(X)\text{Var}(X).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S2-CD1-0041 markL1 FoundationNon-calculatorUniform probabilities
X∼U[2,8]X\sim U[2,8]. Write down P(X=5)P(X=5).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S2-CD1-0051 markL1 FoundationNon-calculatorUniform probabilities
X∼U[0,10]X\sim U[0,10]. Find P(X>7.5)P(X>7.5).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S2-CD-G012 marksL1 FoundationCalculatorUniform probabilities
X∼U[2,10]X\sim U[2,10]. Find P(X<5)P(X<5).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S2-CD-Q011 markL1 FoundationCalculatorMean & variance
For X∼U[a,b]X\sim U[a,b], Var(X)=\text{Var}(X)=
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S2-CD-0053 marksL2 StandardCalculatorMean & variance
X∼U[1,7]X\sim U[1,7]. Find E(X2)E(X^2).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S2-CD-0025 marksL3 ExamCalculatorMean & variance
X∼U[a,b]X\sim U[a,b], where E(X)=6E(X)=6 and Var(X)=3\text{Var}(X)=3. Find aa and bb.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S2-CD-0043 marksL3 ExamCalculatorUniform probabilities
A rod of length 3030 cm is cut at a point chosen at random along its length. Find the probability that the shorter piece is less than 66 cm long.

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Salam Academy Original Practice · Proposed mark scheme