The Normal distribution: Edexcel International A Level Further Maths questions

Every Edexcel International A Level Further Maths exam question on S1.6 The Normal distribution, 2019–2025, with its mark scheme and examiner’s report.

All 19 questions on The Normal distribution, as a list

June 2025, AS Statistics 1 (S1), Q6 (14 marks): A company produces small bags of flour and large bags of flour. The weight, X grams, of flour in a small bag is normally distributed with mean 502 and standard
January 2025, AS Statistics 1 (S1), Q5 (13 marks): A recycling centre measures the weight of glass deposited by the public each day. The weight of glass, S kg, deposited at the recycling centre in a day during t
January 2025, AS Statistics 1 (S1), Q7 (8 marks): A farmer supplies cabbages to a local supermarket. The supermarket manager takes a random sample of 200 of these cabbages and the weight of each cabbage is reco
October 2024, AS Statistics 1 (S1), Q4 (5 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. The distances, m miles, a mot
October 2024, AS Statistics 1 (S1), Q8 (10 marks): An orchard produces apples. The weights, A grams, of its apples are normally distributed with mean μ grams and standard deviation σ grams. It is known that P(A
June 2024, AS Statistics 1 (S1), Q5 (10 marks): A competition consists of two rounds. The time, in minutes, taken by adults to complete round one is modelled by a normal distribution with mean 15 minutes and
January 2024, AS Statistics 1 (S1), Q5 (7 marks): The distance an athlete can throw a discus is normally distributed with mean 40 m and standard deviation 4 m (a) Using standardisation, show that the probabilit
January 2024, AS Statistics 1 (S1), Q8 (9 marks): The random variable X is normally distributed with mean μ and variance 36 Given that P(μ – 2k < X < μ + 2k) = 0.6 (a) find the value of k The random variable Y
October 2023, AS Statistics 1 (S1), Q5 (15 marks): The weights, X grams, of a particular variety of fruit are normally distributed with X ~ N(210, 25 2) A fruit of this variety is selected at random. (a) Show th
June 2023, AS Statistics 1 (S1), Q7 (14 marks): A machine squeezes apples to extract their juice. The volume of juice, J ml, extracted from 1 kg of apples is modelled by a normal distribution with mean μ and
January 2023, AS Statistics 1 (S1), Q5 (17 marks): The lengths, L mm, of housefly wings are normally distributed with L ~ N(4.5, 0.42) (a) Find the probability that a randomly selected housefly has a wing length
October 2022, AS Statistics 1 (S1), Q5 (12 marks): The weights, W grams, of kiwi fruit grown on a farm are normally distributed with mean 80 grams and standard deviation 8 grams. The table shows the classificati
June 2022, AS Statistics 1 (S1), Q6 (11 marks): A manufacturer fills bottles with oil. The volume of oil in a bottle, V ml, is normally distributed with V ~ N(100, 2.5 2) (a) Find P(V > 104.9) (b) In a pack o
January 2022, AS Statistics 1 (S1), Q5 (11 marks): Jia writes a computer program that randomly generates values from a normal distribution. He sets the mean as 40 and the standard deviation as 2.4 (a) Find the p
October 2021, AS Statistics 1 (S1), Q6 (15 marks): Xiang is designing shelves for a bookshop. The height, H cm, of books is modelled by the normal distribution with mean 25.1 cm and standard deviation 5.5 cm (a)
June 2021, AS Statistics 1 (S1), Q4 (13 marks): Kris works in the mailroom of a large company and is responsible for all the letters sent by the company. The weights of letters sent by the company, W grams, h
January 2021, AS Statistics 1 (S1), Q3 (13 marks): The weights of packages that arrive at a factory are normally distributed with a mean of 18 kg and a standard deviation of 5.4 kg (a) Find the probability that
October 2020, AS Statistics 1 (S1), Q3 (13 marks): The distance achieved in a long jump competition by students at a school is normally distributed with mean 3.8 metres and standard deviation 0.9 metres. Student
October 2020, AS Statistics 1 (S1), Q6 (15 marks): The random variable A represents the score when a spinner is spun. The probability distribution for A is given in the following table. a 1 4 5 7 P(A = a) 0.40 0

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