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.

13 questions

SA-9709-P5-ND-0012 marksL1 FoundationCalculatorStandardising
X∼N(50,16)X\sim N(50,16). Find P(X>45)P(X>45), 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-P5-ND-0111 markL1 FoundationCalculatorStandardising
Z∼N(0,1)Z\sim N(0,1). Find P(−1.96<Z<1.96)P(-1.96<Z<1.96), correct to 2 decimal places.

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-P5-ND-0131 markL1 FoundationCalculatorStandardising
Z∼N(0,1)Z\sim N(0,1). Find P(Z<−0.5)P(Z<-0.5), 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-P5-ND1-0012 marksL1 FoundationCalculatorStandardising
X∼N(20,25)X\sim N(20,25). Find P(X<27)P(X<27), 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-P5-ND1-0022 marksL1 FoundationCalculatorStandardising
X∼N(60,9)X\sim N(60,9). Find P(X>55)P(X>55), 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-P5-ND-G012 marksL1 FoundationCalculatorStandardising
X∼N(50,16)X\sim N(50,16). Find P(X<56)P(X<56), 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-P5-ND-Q011 markL1 FoundationCalculatorStandardising
For a normal distribution, the mean, median and mode are
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-P5-ND-Q021 markL1 FoundationCalculatorStandardising
For X∼N(μ,σ2)X\sim N(\mu,\sigma^2), the standardised value of xx 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-P5-ND-0023 marksL2 StandardCalculatorStandardising
X∼N(50,16)X\sim N(50,16). Find P(47<X<53)P(47<X<53), 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-P5-ND-0074 marksL2 StandardCalculatorNormal in context
The masses of bags of flour are normally distributed with mean 250250 g and standard deviation 88 g. Find the probability that a bag weighs less than 240240 g, and the expected number of such bags in a batch of 500500, each 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-P5-ND1-0033 marksL2 StandardCalculatorNormal in context
Adult heights are normally distributed with mean 170170 cm and standard deviation 88 cm. Find the probability that a randomly chosen adult is between 160160 cm and 180180 cm tall, 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-P5-ND1-0042 marksL2 StandardCalculatorNormal in context
Battery lifetimes are normally distributed with mean 400400 hours and standard deviation 5050 hours. Find the probability that a battery lasts more than 480480 hours, 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-P5-ND-0143 marksL4 ChallengingCalculatorNormal in context
Using the flour bags of mean 250250 g and standard deviation 88 g, three bags are chosen at random. Find the probability that exactly two of them weigh less than 240240 g, 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