Probability: past paper questions

Where the questions come from

• Question 8May/June 2026, paper 12Structured3 marks

  Leo has a 5-sided spinner numbered from 1 to 5. Leo spins the spinner 500 times. His results are shown in the table.

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• Question 2Oct/Nov 2025, paper 11Structured2 marks

  Some children record the number of hours they each spend watching television one day. These are the results. $$\begin{array}{ccccccccc}1& 2& 2& 2& 6& 7& 7& 8& 10\end{array}$$ Write down the mode.

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• Question 11Oct/Nov 2024, paper 21Structured7 marks

  Mia has 25 shapes. She uses their properties to sort them into groups. The table shows the number of shapes in each group.

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• Question 8Oct/Nov 2023, paper 21Structured11 marks

  A group of 40 children are each asked how many books they read last month. The table shows the results.

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• Question 12Oct/Nov 2025, paper 12Structured5 marksHas a diagram

  Luca has these two fair spinners. Luca spins both spinners and adds the two numbers to find his score.

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• Question 5Oct/Nov 2024, paper 22Structured6 marksHas a diagram

  Mandeep has these 9 number cards. $$\boxed{{\displaystyle 1}}\boxed{{\displaystyle 1}}\boxed{{\displaystyle 2}}\boxed{{\displaystyle 2}}\boxed{{\displaystyle 2}}\boxed{{\displaystyle 5}}\boxed{{\displaystyle 6}}\boxed{{\displaystyle 7}}\boxed{{\displaystyle 8}}$$ She takes one of the 9 cards at random, notes the number and replaces it.

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• Question 5Oct/Nov 2023, paper 22Structured6 marks

  A bag contains 40 balls. 28 of the balls are red and the rest are green. Aisha takes a ball from the bag at random, notes its colour and replaces it.

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• Question 17Oct/Nov 2025, paper 21Structured7 marks

  The table shows the times taken by 80 people to complete a race.

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• Question 5May/June 2024, paper 11Structured2 marks

  The table shows information about a class of 28 students and the distances they live from their school.

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• Question 12May/June 2023, paper 11Structured3 marks

  Ali keeps a record of the computer games he plays. Out of the first 6 games, Ali wins 4. Out of the first 20 games, Ali wins 13.

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• Question 11Oct/Nov 2025, paper 22Structured2 marks

  A factory makes batteries. A batch of 2000 batteries are tested and 28 are found to be faulty. The factory makes 125000 batteries.

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• Question 13May/June 2024, paper 12Structured3 marks

  Kamal records the number of phone calls he receives at work each day for 20 days. The results are shown in the table.

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• Question 23May/June 2023, paper 12Structured5 marks

  There are 10 cards in a set. Each card shows either a square or a triangle. Every shape on each card is either green or red.

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• Question 19Oct/Nov 2025, paper 22Structured5 marksHas a diagram

  A group of 22 students are asked if they study Economics ($E$) or History ($H$). The Venn diagram shows the results. Write down the number of students who study both Economics and History.

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• Question 11May/June 2024, paper 21Structured9 marks

  On any day in January, the probability the temperature at a weather station is above ${14}^{\circ }\mathrm{C}$ is 0.35 . There are 31 days in January. Find the number of days in January when you would expect the temperature to be above ${14}^{\circ }\mathrm{C}$.

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• Question 2May/June 2025, paper 12Structured2 marks

  A bag contains 11 balls. There are 5 blue balls and 4 yellow balls. The rest of the balls are green.

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• Question 2May/June 2024, paper 22Structured7 marksHas a diagram

  The diagram shows a fair spinner numbered from 1 to 5. The score is the number the spinner lands on. The spinner is spun once.

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• Question 10May/June 2023, paper 21Structured10 marks

  Bags of sweets are packed into boxes. A box is opened and the number of sweets in each bag is counted. The results are shown in the table.

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• Question 6May/June 2025, paper 22Structured3 marks

  In a survey, students are asked to choose their favourite type of movie. The table shows the results.

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• Question 7May/June 2023, paper 22Structured9 marks

  On Monday, the amount of money spent on a website by each customer was recorded. The table shows the results.

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• Question 13May/June 2025, paper 22Structured3 marks

  A bag contains 9 red counters and 3 green counters. Lee takes two counters from the bag at random without replacement. Complete the tree diagram.

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