Year 7 probability basics test to download as PDF

This Year 7 probability basics test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 11-12, and the full answers are on a separate page.

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

Mark/20

Question 1 – Probability basics
A bag contains 6 red counters, 4 blue counters and 5 green counters. One counter is taken at random.
1. Find the probability that it is blue. (1 mark)
2. Find the probability that it is not red. (1 mark)
3. Find the probability that it is yellow. (1 mark)
4. The bag has 30 counters instead and the probability of green is 0.4. How many green counters? (1 mark)
Question 2 – Listing outcomes
A spinner has the numbers 1, 2, 3. A fair coin is flipped. The spinner is spun and the coin is flipped.
1. List all the possible outcomes. (2 marks)
2. Find the probability of getting a 3 and heads. (1 mark)
3. Find the probability of getting tails and an odd number. (1 mark)
Question 3 – Expected outcomes
The probability that a pupil is left-handed is 0.1. There are 240 pupils in Year 7.
1. How many pupils would you expect to be left-handed? (1 mark)
2. The school has 30 left-handed scissors. Is that enough for the whole of Year 7? Explain. (1 mark)
3. A class of 28 pupils has 4 left-handed. Work out the relative frequency. (1 mark)
4. Is it surprising? Explain. (1 mark)
Question 4 – Problem: the school fair game
At a fair, Mia pays £1 to spin a wheel with 10 equal sections: 1 section pays £5, 2 sections pay £2 and 7 sections pay nothing.
1. Find the probability of winning £5. (1 mark)
2. Find the probability of winning something. (1 mark)
3. Mia plays 50 times. How many times does she expect to win £2? How much does she expect to win in total? (2 marks)
Question 5 – Problem: the weather and the match
The probability that it rains on any given Saturday is 0.35. The school football team plays 20 Saturday matches.
1. Find the probability that it does not rain on a given Saturday. (1 mark)
2. How many Saturdays would you expect to be rainy? (1 mark)
3. In the first 8 matches it rained on 5 Saturdays. Work out the relative frequency of rain. (1 mark)
4. Explain why the relative frequency is different from 0.35. (1 mark)

How to use this Year 7 probability basics test

First, revise with the probability basics 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 basics test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 7 probability basics 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.