Year 8 probability test to download as PDF

This Year 8 probability test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 12-13, and the full answers are on a separate page.

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

Mark/20

Question 1 – Theoretical probability
A bag contains 4 red, 6 blue and 10 green counters. One is picked at random. Give each probability as a fraction in its simplest form.
1. The counter is blue. (1 mark)
2. The counter is not green. (1 mark)
3. Another bag has probability \(\dfrac{1}{4}\) of red. It contains 5 red counters. How many counters are in the bag? (2 marks)
Question 2 – Expected outcomes
The probability that a train is late is 0.15.
1. What is the probability that it is not late? (1 mark)
2. In 200 journeys, how many late trains are expected? (1 mark)
3. A pupil says "In 20 journeys exactly 3 trains will be late." Is he correct? Explain. (2 marks)
Question 3 – Sample space
Two coins are flipped and a die is rolled.
1. List the outcomes of flipping the two coins. (1 mark)
2. How many outcomes are there when the die is also rolled? (1 mark)
3. Find the probability of two heads and an even number. (2 marks)
Question 4 – Problem: two dice
Two fair dice are rolled and the scores are multiplied.
1. Find the probability that the product is 12. (2 marks)
2. Find the probability that the product is an odd number. (2 marks)
Question 5 – Problem: Venn diagram
In a class of 30 pupils, 18 play football (F), 12 play tennis (T) and 5 play both.
1. How many play neither sport? (2 marks)
2. A pupil is chosen at random. Find the probability that they play tennis only. (1 mark)
3. Find the probability that a pupil who plays football also plays tennis. (1 mark)

How to use this Year 8 probability test

First, revise with the probability: outcomes and sample spaces 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: outcomes and sample spaces test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 8 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: outcomes and sample spaces – Year 8 maths test to download as PDF

Question 1 – Theoretical probability

Question 2 – Expected outcomes

Question 3 – Sample space

Question 4 – Problem: two dice

Question 5 – Problem: Venn diagram

How to use this Year 8 probability test

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