GCSE English and Maths Resits (Grade 4) · Maths

Statistics and Probability

28 practice questions, each with the answer and an explanation.

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A café offers $3$ starters, $4$ main courses and $2$ desserts. How many different three-course meals are possible?
A bag contains $3$ red, $5$ blue and $2$ green counters. One is taken at random. What is the probability it is not blue?
The probabilities that a spinner lands on red, blue or green are $0.35$ , $0.4$ and $x$ . The spinner can only land on these three colours. What is $x$ ?
Aisha's scores in four tests were $62, 71, 58, 69$ . What score does she need in a fifth test to have a mean of exactly $66$ ?
A fair coin is flipped and a fair six-sided die is rolled. What is the probability of getting a head and a $6$ ?
A fair die is rolled twice. What is the probability of getting at least one six?
A table shows the number of goals scored in $20$ matches: $1$ goal in $2$ matches, $2$ goals in $5$ matches, $3$ goals in $8$ matches, $4$ goals in $3$ matches, $5$ goals in $2$ matches. What is the m…
Class A has $20$ students with a mean test score of $60$ . Class B has $30$ students with a mean of $70$ . What is the mean score of all $50$ students?
Two fair dice are rolled. What is the probability that the total is $8$ ?
Find the median of $3, 5, 8, 12, 14, 20$ .
A cumulative frequency graph shows $80$ values. Which statement correctly gives the interquartile range?
The probability that a bus is late is $0.3$ and the probability that it is early is $0.45$ . What is the probability that it is either late or early?
A box contains $8$ pens, of which $5$ are black. Two pens are taken at random without replacement. What is the probability that at least one is black?
In a pie chart of $150$ people, the sector for cycling has an angle of $7 2^{\circ}$ . How many people cycle?
Find the mean of $4, 5, 5, 8, 9, 11$ .
Two independent events have probabilities $P (A) = 0.4$ and $P (B) = 0.5$ . What is the probability that both $A$ and $B$ happen?
Which average is least affected by one very large extreme value in a set of data?
In a survey of $180$ people, $45$ chose tea. In a pie chart, what angle represents tea?
The table shows the times, in minutes, that $25$ people waited: $0 < t \leq 10$ : $4$ people; $10 < t \leq 20$ : $10$ people; $20 < t \leq 30$ : $8$ people; $30 < t \leq 40$ : $3$ people. Estimate the mean wa…
A scatter graph shows that as the daily temperature rises, ice cream sales also rise. What type of correlation is this?
Team A's scores have a median of $52$ and a range of $20$ . Team B's scores have a median of $48$ and a range of $35$ . Which statement is correct?
Find the median of these numbers: $12, 7, 18, 4, 9, 15, 7$ .
A bag has $3$ mint and $2$ toffee sweets. Two sweets are taken at random without replacement. What is the probability that both are mint?
The probability of rain is $0.3$ . If it rains, the bus is late with probability $0.6$ . If it does not rain, the bus is late with probability $0.2$ . What is the probability that the bus is late?
The probability that it rains on any day in a town is $0.15$ . About how many rainy days are expected in $200$ days?
A spinner is spun $200$ times and lands on $3$ a total of $46$ times. What is the best estimate of the probability of landing on $3$ ?
A school has $600$ students, of whom $150$ are in Year 11. A stratified sample of $40$ students is taken. How many Year 11 students should be in the sample?
In a class of $40$ students, $25$ play football, $18$ play hockey and $8$ play both. How many play neither sport?

Statistics and Probability

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