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9709 past papers

9709 · topic questions

Sampling and estimation

Mathematics12 questions

12 past-paper questions on Sampling and estimation

  • 9709/61 · May/June 20256 marks

    The random variable X has the distribution B(8, 3/4). A random sample of 100 values of X is chosen, and the sample mean, X, is…

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  • 9709/62 · May/June 20254 marks

    A biased spinner has four sides. Each side is of a different colour: yellow, red, green or black. The probability, p, that the…

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  • 9709/62 · May/June 20244 marks

    A student wishes to estimate the proportion, p, of students at her college who have exactly one brother. She surveys a random…

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  • 9709/61 · October/November 20243 marks

    The times, T minutes, taken by a random sample of 75 students to complete a test were noted. The results were summarised by Σt =…

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  • 9709/61 · May/June 20243 marks

    The time taken in minutes for a certain daily train journey has a normal distribution with standard deviation 5.8. For a random…

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  • 9709/62 · May/June 20253 marks

    The height of a certain species of plant is denoted by Hcm. The heights of a random sample of 100 plants were measured, and the…

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  • 9709/61 · May/June 20243 marks

    A random sample of 8 boxes of cereal from a certain supplier was taken. Each box was weighed and the masses in grams were as…

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  • 9709/61 · October/November 20243 marks

    You should now assume that your estimates from part (a) are the true values of the population mean and variance of T. The times…

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  • 9709/61 · May/June 20253 marks

    At Florence's college, in a random sample of 40 students, it was found that 5 own a Pumpkin phone. (c) Calculate an approximate…

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  • 9709/62 · May/June 20243 marks

    There were 30 students in Henri's sample. He asked each of them how much time, X hours, they spent on social media each week, on…

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  • 9709/61 · October/November 20243 marks

    The heights of a certain species of deer are known to have standard deviation 0.35 m. A zoologist takes a random sample of 150 of…

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  • 9709/62 · May/June 20242 marks

    Henri wants to choose a random sample from the 804 students at his college. He numbers the students from 1 to 804 and then uses…

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Sampling and estimation (9709) past-paper questions — marked instantly

These are real Cambridge Mathematics past-paper questions on Sampling and estimation. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.

Frequently asked questions

How many Sampling and estimation questions are there for 9709?
This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Sampling and estimation. Each links straight to instant marking against the official 9709 scheme.
How are Sampling and estimation answers marked?
Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
Where can I learn Sampling and estimation first?
Start with the free Mathematics lesson on Sampling and estimation, then come back and drill past-paper questions under timed conditions.