The class of 2024 proved exceptional at maths – but are you? Here are some questions pupils faced in last year’s A-level exams. The answers are at the bottom.
Turn over your exam paper and begin!
A-level mathematics 7357/3 Paper 3 AQA
Question 1
Which of the following is not a possible value for a product moment correlation coefficient?
-6/5, -3/5, 0, 1
Question 2
It is known that, on average, 40% of the drivers who take their driving test at a local test centre pass their driving test.
Each day 32 drivers take their driving test at this centre. The number of drivers who pass their test on a particular day can be modelled by the distribution B (32, 0.4)
Find the standard deviation of the number of drivers per day who pass their test.
Question 3
There are two types of coins in a money box:
* 20% are bronze coins
* 80% are silver coins
Craig takes out a coin at random and places it back in the money box. Craig then takes out a second coin at random. Find the probability that both coins are bronze, given that at least one of the coins is bronze.
Answers
1: -6/5
2: Variance = 32 × 0.4 × 0.6 = 7.68. Standard deviation = 2.77
3: P (at least one bronze)
= 1 - 0.8 x 0.8
= 0.36
P (both bronze / at least one bronze)
= (0.2 x 0.2) / 0.36 = 1/9
