plumiCombined events and tree diagrams: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on P8 Combined events and tree diagrams, 2017–2025, with its mark scheme and examiner’s report.
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All 34 questions on Combined events and tree diagrams, as a list
- June 2025, Paper 1H, Q17 (4 marks): A bus is due to arrive at a bus stop at 1 pm The probability that the bus is on time is halved when it is raining. 17 (a) Complete the tree diagram. 17 (b) Work
- June 2025, Paper 1H, Q25 (5 marks): There are n counters in a box. 6 of the counters are black. Two counters are chosen at random without replacement. The probability that both counters are black
- June 2025, Paper 2H, Q17 (3 marks): When a biased coin is spun, P(Heads) : P(Tails) = 5 : 2 In a game, the player spins the coin four times. The player can win in two ways. How many times more lik
- November 2024, Paper 3H, Q13 (2 marks): A bag contains one £5 note, one £10 note, one £20 note and one £50 note. Amaan picks two of the notes at random without replacement. Work out the probability th
- November 2024, Paper 3H, Q14 (6 marks): A test consists of two sections, A and B. • 85% of people pass section A. • 78% of people who pass section A also pass section B. • 36% of people who fail secti
- November 2024, Paper 3H, Q21 (3 marks): A bag contains 25 discs. 11 are red, 9 are blue and 5 are yellow. Ashley picks three of the discs at random without replacement. Ashley’s first disc is red. Wor
- June 2024, Paper 3H, Q12 (5 marks): Cards are either gold or not gold. P(gold) = 0.05 Harim chooses a card at random and replaces it. He then chooses a second card. 12 (a) Complete the tree diagra
- November 2023, Paper 2H, Q11 (1 mark): A fair coin is thrown a number of times. The probability that every throw results in Heads is 64 1 How many times is the coin thrown? Answer
- November 2023, Paper 3H, Q10 (4 marks): Two bags contain only green discs and yellow discs. Bag A contains 1 green disc and 4 yellow discs. Bag B contains 3 green discs and 7 yellow discs. One disc is
- November 2023, Paper 3H, Q26 (4 marks): In a game, these numbered tiles are in a bag. Amber plays the game once. Work out the probability that she wins. To play the game Choose tiles at random one at
- June 2023, Paper 2H, Q23 (4 marks): Here are three sets of cards. Set A 1 1 3 5 5 5 6 8 Set B 1 2 4 6 8 8 9 Set C 3 4 5 6 In a game, a player has two options. Option 1 Pick two cards from Set A Op
- November 2022, Paper 2H, Q20 (3 marks): A vending machine has a different item in each section. It sells 7 drinks, 3 of which are juice 5 snacks, 2 of which are fruit bars 11 meals, 4 of which are sal
- November 2022, Paper 2H, Q27 (4 marks): In a class there are n boys a total of 25 students. Two of the students are chosen at random. The probability that both students are boys is 20 7 Work out the v
- November 2022, Paper 3H, Q13 (3 marks): A fair, ordinary dice is rolled and a counter is taken at random from a bag. The tree diagram shows the probabilities. 13 (a) How do the probabilities show that
- November 2022, Paper 3H, Q20 (5 marks): There should be a train leaving a station every hour from 7 am No trains leave early. P(the first train leaves on time) = 0.9 For all the other trains, if the p
- June 2022, Paper 1H, Q12 (5 marks): In a game, two bags, A and B, contain cards. Each card is marked Yes or No. The table shows the number of each type of card in the bags. Yes No Bag A 3 2 Bag B
- June 2022, Paper 1H, Q26 (4 marks): Zoe and Amy are playing a board game. • They each have one disc and take turns to roll a fair, ordinary dice. • The player moves their disc clockwise the number
- June 2022, Paper 3H, Q17 (3 marks): In a video game, players make their own character. They choose one of each from 8 faces 4 bodies 5 hairstyles. 17 (a) How many different characters can be made?
- November 2021, Paper 1H, Q19 (5 marks): Items made at a factory have to pass two checks. 90% pass the first check. The items that fail are scrapped. 99% of the items that pass the first check pass the
- November 2021, Paper 2H, Q17 (5 marks): 20 people were asked which device they used more often, laptop or phone. The table shows the results. Laptop Phone Male 2 9 Female 4 5 17 (a) One male and one f
- November 2021, Paper 2H, Q22 (4 marks): Liam is trying to remember a 3-digit code. He knows the rule that the first digit is a cube number the second digit is a factor of 16 the third digit is an odd
- November 2020, Paper 2H, Q27 (4 marks): These 20 discs are in a bag. Two of the discs are taken at random from the bag. Work out the probability that the first disc has a smaller number than the secon
- November 2020, Paper 3H, Q4 (1 mark): A fair coin is spun four times. Circle the probability of getting four Heads. 2 1 2 8 1 16 1
- November 2020, Paper 3H, Q22 (4 marks): Visitors to a museum buy a child ticket or an adult ticket. Here is some information about two groups of visitors. Group X 250 visitors, including 120 children
- November 2019, Paper 1H, Q25 (4 marks): A bag contains 8 balls. 3 are red and 5 are blue. 2 balls are taken from the bag at random without replacement. 25 (a) Write down the probability that there is
- June 2019, Paper 1H, Q6 (6 marks): Anna plays a game with an ordinary, fair dice. If she rolls 1 she wins. If she rolls 2 or 3 she loses. If she rolls 4, 5 or 6 she rolls again. When she has to r
- June 2019, Paper 3H, Q2 (1 mark): For a biased dice, P = 5 3 Circle the probability of two sixes when the dice is rolled twice. 25 6 10 6 25 9 9 5
- November 2018, Paper 2H, Q18 (5 marks): A bag contains 20 discs. 10 are red, 7 are blue and 3 are green. 18 (a) Marnie takes a disc at random before putting it back in the bag. Nick then takes a disc
- June 2018, Paper 2H, Q11 (4 marks): Two ordinary fair dice are rolled. 11 (a) Complete the tree diagram. 11 (b) Work out the probability that both dice land on a number less than 3 Answer 11 (c) W
- June 2018, Paper 3H, Q27 (3 marks): A bag contains 30 discs. 10 are red and 20 are blue. One disc is taken out at random and replaced by two of the other colour. Another disc is then taken out at
- November 2017, Paper 1H, Q27 (4 marks): There are 11 pens in a box. 8 are black and 3 are red. Two pens are taken out at random without replacement. Work out the probability that the two pens are the
- June 2017, Paper 1H, Q16 (4 marks): A fair spinner has five equal sections numbered 1, 2, 3, 4 and 5 A fair six-sided dice has five red faces and one green face. The spinner is spun. If the spinne
- Specimen, Paper 1H, Q20 (4 marks): On Friday, Greg takes part in a long jump competition. He has to jump at least 7.5 metres to qualify for the final on Saturday. He has up to three jumps to qu
- Specimen, Paper 3H, Q22 (4 marks): Bag X contains 9 blue balls and 18 red balls. Bag Y contains 7 blue balls and 14 red balls. Liz picks a ball at random from bag X. She puts the ball into bag Y.
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