Sample spaces: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on P7 Sample spaces, 2017–2025, with its mark scheme and examiner’s report.
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All 17 questions on Sample spaces, as a list
- June 2025, Paper 6, Q1 (3 marks): A fair four-sided dice is numbered 3, 4, 5 and 6. The dice is rolled twice and the two scores are multiplied together. (a) Complete the table to show all the po
- November 2024, Paper 4, Q17 (4 marks): An app’s passcode consists of three digits. Each of the digits is a number from 0 to 9. A digit can be used more than once. Find the fraction of the possible pa
- November 2024, Paper 6, Q1 (4 marks): Sasha has these two sets of number cards. 1 2 3 4 8 9 10 Set A: Set B: One card is taken at random from each set. Sasha adds the numbers on the two cards to get
- June 2024, Paper 5, Q2 (4 marks): Kai has these four number cards. 0 2 5 9 Kai takes two of the cards at random without replacement and finds the positive difference between the two numbers. (a)
- November 2023, Paper 6, Q2 (4 marks): A restaurant menu has 4 main courses and 3 side dishes. For their meal, each customer chooses 1 main course and 1 side dish. Main course Side dish Beef burger £
- November 2022, Paper 5, Q3 (3 marks): Azmi has a fair spinner numbered 2, 5 and 8. 5 2 8 Azmi spins the spinner twice and adds the two scores to get a total. (a) Complete the table to show all of th
- June 2022, Paper 6, Q1 (4 marks): A student rolls two fair four-sided dice each numbered 1, 2, 3 and 4. They add the two scores together. (a) Complete the sample space diagram to show the possib
- November 2021, Paper 4, Q4 (4 marks): Li throws two fair four-sided dice, each numbered 1, 2, 3 and 4. Li multiplies together the two numbers that the dice land on to produce a score. Find the proba
- November 2020, Paper 5, Q4 (5 marks): Dora has the following number cards. 2 2 3 5 6 She takes a card at random, replaces the card and then takes a second card. She adds the numbers on the two cards
- November 2020, Paper 6, Q12 (3 marks): Students are asked to choose one subject from Option A and one subject from Option B. Option A Option B Economics Art Geography Drama History Engineering Media
- November 2019, Paper 6, Q6 (4 marks): The table shows the children nominated to win the subject prize in Mathematics and the subject prize in English. Mathematics English Alice Alice Ben Claire Emma
- June 2019, Paper 6, Q12 (6 marks): Antonio rolls two fair six-sided dice and calculates the difference between the scores. For example, if the two scores are 2 and 5 or 5 and 2 then the differenc
- November 2018, Paper 5, Q3 (3 marks): Geoff has two fair spinners. 1 7 2 3 9 5 4 Spinner A Spinner B He spins both spinners and multiplies the numbers on each spinner. (a) Complete the table. Spinne
- June 2018, Paper 5, Q8 (5 marks): Hannah wants to display all the possible outcomes when rolling two fair 6-sided dice. (a) Give a reason why a tree diagram is not the best method to use. (b) (i
- June 2018, Paper 6, Q7 (4 marks): Edsel has four number cards. 3 9 12 8 Sharon has three number cards. u represents a number that Sharon knows. 11 6 u Edsel and Sharon each pick one of their car
- November 2017, Paper 4, Q8 (5 marks): Diners choose one starter and one main from the options given in the table below. Vegetarian dishes are indicated with a (v). Starter Main Cheese salad (v) Stea
- June 2017, Paper 6, Q6 (7 marks): (a) This is a fair 5-sided spinner. 1 2 2 4 3 Ciara spins the spinner twice and records the product of the two scores. (i) Complete the table. First spin x 1 2
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