AS & A Level Further Mathematics (9231) — October–November 2024, Paper 43

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 · Further Probability & Statistics - confidence interval for the difference between two population means (large samples)

Ellie is investigating the heights of two types of beech tree, A and B, in a certain region. She has chosen a random sample of 60 beech trees of type A in the region, recorded…

Answer this question and get it marked →
Question 2 · 9 marks · Further Probability & Statistics - Wilcoxon matched-pairs signed-rank test

A school with a large number of students is updating its logo. Each student has designed a new logo and two teachers have each awarded a mark out of 50 for each logo. The marks…

Answer this question and get it marked →
Question 3 · 8 marks · Further Probability & Statistics - chi-squared goodness of fit test (expected frequencies for a Poisson model)

A statistician believes that the number of telephone calls received by an advice centre in a 10-minute interval can be modelled by the Poisson distribution Po(1.9). The number of…

Answer this question and get it marked →
Question 4 · 10 marks · Further Probability & Statistics - continuous random variables (sketching a probability density function)

The continuous random variable X has probability density function f given by f(x) = k x^3 for 0 <= x < 1, f(x) = k(5 - x) for 1 <= x <= 5, f(x) = 0 otherwise, where k is a…

Answer this question and get it marked →
Question 5 · 9 marks · Further Probability & Statistics - probability generating functions

Nikita has three coins. One coin is fair, one coin is biased so that the probability of obtaining a head is 1/3 and the third coin is biased so that the probability of obtaining a…

Answer this question and get it marked →
Question 6 · 8 marks · Further Probability & Statistics - two-sample t-test for a difference of means (pooled variance, equal variances)

Ansal is investigating the wingspans of Monarch butterflies in two different regions, X and Y. He takes a random sample of 8 Monarch butterflies from region X and records their…

Answer this question and get it marked →

← May–June 2023 Paper 11 · October–November 2024 Paper 42 →

← All AS & A Level Further Mathematics (9231) past papers