AS & A Level Further Mathematics (9231) — May–June 2025, Paper 41

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

Start with Question 1 →
Question 1 · 7 marks · Hypothesis tests (difference of population means, large samples, unequal variances)

The manager of a hardware store is interested in whether there is a difference in the amount spent per customer on weekdays ($x) compared to weekends ($y). Random samples of 120…

Answer this question and get it marked →
Question 2 · 12 marks · Continuous random variables (probability density function)

The diagram shows the graph of a probability density function f(x). The curve is constant (a horizontal line at height f = a) for 0 <= x <= 5, then decreases linearly from x = 5…

Answer this question and get it marked →
Question 3 · 8 marks · Chi-squared tests (estimation of binomial probability)

Eggs in a supermarket are sold in boxes of six. A supermarket manager wishes to model the number of broken eggs in the boxes sold in the store. A random sample of 2000 boxes is…

Answer this question and get it marked →
Question 4 · 7 marks · Confidence intervals (difference of means, pooled variance, t-distribution)

A researcher is interested in whether there is a difference between two schools in students' aptitude for English. She randomly chooses 10 students from school X and 8 students of…

Answer this question and get it marked →
Question 5 · 10 marks · Non-parametric tests (Wilcoxon matched-pairs signed-rank test)

Two jigsaw puzzles have the same number of pieces with identical shapes but have different pictures printed on them. One puzzle has a seaside picture and the other has a cartoon…

Answer this question and get it marked →
Question 6 · 6 marks · Probability generating functions

Y is a discrete random variable which takes the values 0, 2, 4, ... . The probability generating function of Y is given by GY(t) = k / (1 - at^2). Find k in terms of a.

Answer this question and get it marked →

← May–June 2025 Paper 42 · May–June 2025 Paper 34 →

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