AS & A Level Mathematics (9709) — May–June 2025, Paper 53
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1a →For a set of 40 values of x, it is found that Sum(x − k) = 836.0, Sum(x − k)^2 = 25410.8, where k is a constant. Given that the mean of these 40 values is 124.0, find the value of…
Answer this question and get it marked →At a large college, all students who study Science also study exactly one of Art or Drama or Music. 20% of these students study Art, 45% study Drama and 35% study Music. 3…
Answer this question and get it marked →A fair six-sided dice with faces labelled 1, 2, 3, 4, 5, 6 is thrown repeatedly until a 3 is obtained. The number of throws taken is denoted by the random variable X. Find P(X =…
Answer this question and get it marked →84 people attempt a particular puzzle. The times taken, in minutes, to complete the puzzle are recorded. These times are represented in the cumulative frequency graph below. The…
Answer this question and get it marked →Bag A contains 6 red marbles, 5 blue marbles and 1 green marble. Bag B contains 5 red marbles and 3 blue marbles. A marble is chosen at random from bag A and placed in bag B. A…
Answer this question and get it marked →A company sells bags of pasta. The masses of large bags of pasta are normally distributed with mean 2.50 kg and standard deviation 0.12 kg. Find the probability that the mass of…
Answer this question and get it marked →A set of friends consists of 7 men and 4 women. Three of the men are brothers: Ali, Ben and Charlie. Find the number of different arrangements of the 7 men in a line in which Ali…
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