Salam Academy
Sign inCreate account
Practise

Question bank

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

Sign in to check answers. Your attempts build your mastery and error book.

12 questions

SA-9709-P6-CR3-0012 marksL1 FoundationCalculatorMedian
f(x)=x8f(x)=\tfrac x8 for 0≤x≤40\le x\le4, and 00 otherwise. Find the median, correct to 3 significant figures.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-CR3-0032 marksL1 FoundationCalculatorPercentiles
f(x)=x8f(x)=\tfrac x8 for 0≤x≤40\le x\le4, and 00 otherwise. Find the lower quartile.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-CR3-0051 markL1 FoundationCalculatorMedian
XX is uniformly distributed on [2,10][2,10]. State the median of XX.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-CR3-0081 markL1 FoundationCalculatorMedian
For a continuous distribution, mean =2.67=2.67, median =2.83=2.83 and mode =4=4. The distribution is
Choose one option

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-CR-Q031 markL1 FoundationCalculatorMedian
The median mm of a continuous distribution satisfies
Choose one option

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-CR-0033 marksL2 StandardCalculatorMedian
For f(x)=x29f(x)=\tfrac{x^2}9 on 0≤x≤30\le x\le3, find the median, correct to 3 significant figures.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-CR-0063 marksL2 StandardCalculatorPercentiles
f(x)=x2f(x)=\tfrac x2 for 0≤x≤20\le x\le2, and 00 otherwise. Find the upper quartile, giving an exact answer.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-CR3-0022 marksL2 StandardCalculatorMedian
f(x)=38x2f(x)=\tfrac38x^2 for 0≤x≤20\le x\le2, and 00 otherwise. Find the median, correct to 3 significant figures.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-CR3-0042 marksL2 StandardCalculatorPercentiles
f(x)=38x2f(x)=\tfrac38x^2 for 0≤x≤20\le x\le2, and 00 otherwise. Find the 9090th percentile, correct to 3 significant figures.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-CR3-0072 marksL2 StandardCalculatorMedian
f(x)=2xf(x)=2x for 0≤x≤10\le x\le1, and 00 otherwise. Find the median, correct to 3 significant figures.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-CR3-0064 marksL3 ExamCalculatorPercentiles
f(x)=2x2f(x)=\dfrac2{x^2} for 1≤x≤21\le x\le2, and 00 otherwise. Find the interquartile range, correct to 3 significant figures.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-CR-0106 marksL4 ChallengingCalculatorMedian
f(x)=kx2f(x)=\dfrac{k}{x^2} for 1≤x≤21\le x\le2, and 00 otherwise. Find kk, the exact median, and E(X)E(X) correct to 3 significant figures.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme