Year 11 probability test to download as PDF

This Year 11 probability test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 15-16, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Spinner probabilities
A spinner has four colours. \(P(\text{red})=0.4\), \(P(\text{blue})=0.3\), and green and yellow are equally likely.
1. Work out \(P(\text{green})\). (2 marks)
2. The spinner is spun 200 times. How many yellows are expected? (1 mark)
3. Work out \(P(\text{not blue})\). (1 mark)
Question 2 – Venn diagram
40 people were asked if they own a bike (\(B\)) or a scooter (\(S\)). 18 own a bike, 15 own a scooter and 6 own both.
1. Complete a Venn diagram. (2 marks)
2. Find the probability that a person owns neither. (1 mark)
3. Find the probability that a person who owns a scooter also owns a bike. (1 mark)
Question 3 – Independent events
Sam is late for school with probability 0.2 on any day, independently.
1. Find the probability that he is late on both of two days. (1 mark)
2. Find the probability that he is late on exactly one of two days. (3 marks)
Question 4 – Without replacement
A bag contains 7 red and 3 white counters. Two counters are taken without replacement.
1. Find the probability that both are white. (2 marks)
2. Find the probability that at least one is red. (2 marks)
Question 5 – Problem: how many red counters?
A bag has 3 blue counters and \(x\) red counters. A counter is taken, replaced, and another is taken. The probability that both are blue is \(\dfrac9{25}\).
1. Write an equation for \(x\). (1 mark)
2. Solve it. (3 marks)

How to use this Year 11 probability test

First, revise with the probability: experiments, Venn and tree diagrams lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the probability: experiments, Venn and tree diagrams test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 11 probability test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.

Probability: experiments, Venn and tree diagrams – Year 11 GCSE maths test to download as PDF

Question 1 – Spinner probabilities

Question 2 – Venn diagram

Question 3 – Independent events

Question 4 – Without replacement

Question 5 – Problem: how many red counters?

How to use this Year 11 probability test

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