AS & A Level Mathematics (9709) — May–June 2023, Paper 52

6 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.

Start with Question 1 →
Question 1 · 6 marks · Discrete random variables (probability distribution table)

The random variable X takes the values -2, 2 and 3. It is given that P(X = x) = k(x^2 - 1), where k is a constant. Draw up the probability distribution table for X, giving the…

Answer this question and get it marked →
Question 2 · 6 marks · Probability (dependent events, conditional probability)

A sports event is taking place for 4 days, beginning on Sunday. The probability that it will rain on Sunday is 0.4. On any subsequent day, the probability that it will rain is 0.7…

Answer this question and get it marked →
Question 3 · 7 marks · Representation of data (stem-and-leaf diagrams, median and quartiles)

The back-to-back stem-and-leaf diagram represents the monthly salaries, in dollars, of 27 employees at each of two companies, A and B. Find the median and the interquartile range…

Answer this question and get it marked →
Question 4 · 9 marks · The geometric distribution

A fair 5-sided spinner has sides labelled 1, 2, 3, 4, 5. The spinner is spun repeatedly until a 2 is obtained on the side on which the spinner lands. The random variable X denotes…

Answer this question and get it marked →
Question 5 · 12 marks · The normal distribution (expected frequency)

The lengths of Western bluebirds are normally distributed with mean 16.5 cm and standard deviation 0.6 cm. A random sample of 150 of these birds is selected. How many of these 150…

Answer this question and get it marked →
Question 6 · 10 marks · Permutations and combinations (selections)

In a group of 25 people there are 6 swimmers, 8 cyclists and 11 runners. Each person competes in only one of these sports. A team of 7 people is selected from these 25 people to…

Answer this question and get it marked →

← May–June 2023 Paper 53 · May–June 2023 Paper 51 →

← All AS & A Level Mathematics (9709) past papers