Tree Diagrams – Higher – GCSE Questions – AQA These questions are the same format as previous GCSE exams. COPY means they use the exact same numbers as the original GCSE question. Otherwise, they are clone questions using different numbers. The worksheets are provided in 2 sizes.

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2 3 2 3 2 3 2 3 AQA Higher: June 2018 Paper 2, Q11 Two ordinary fair dice are rolled. 1 Two ordinary fair dice are rolled. 1 (a) Complete the tree diagram. 1 (a) Complete the tree diagram. [1 mark] [1 mark] 1st dice 2nd dice 1st dice 2nd dice 2 3 More than 2 2 3 More than 2 2 3 2 3 More than 2 More than 2 2 or less 2 or less More than 2 More than 2 2 or less 2 or less 2 or less 2 or less 1 (b) Work out the probability that both dice land on a number more than 2 1 (b) Work out the probability that both dice land on a number more than 2 [1 mark] [1 mark] Answer Answer 1 (c) Work out the probability that exactly one of the dice lands on a number more than 2 1 (c) Work out the probability that exactly one of the dice lands on a number more than 2 [2 marks] [2 marks] Answer Answer

AQA Higher: May 2017 Paper 1, Q16 AQA Higher: May 2017 Paper 1, Q16 1 A fair spinner has 7 equal sections numbered 1, 2, 3, 4, 5, 6 and 7 A fair six-sided dice has 1 blue face and 5 red faces. The spinner is spun. If the spinner shows an odd number, the dice is thrown. 1 A fair spinner has 7 equal sections numbered 1, 2, 3, 4, 5, 6 and 7 A fair six-sided dice has 1 blue face and 5 red faces. The spinner is spun. If the spinner shows an odd number, the dice is thrown. 1 (a) Complete the tree diagram for the spinner and the dice. 1 (a) Complete the tree diagram for the spinner and the dice. [2 marks] [2 marks] Spinner Dice Spinner Dice Even Even Odd Odd 1 (b) Work out the probability of getting an odd number and the colour red. 1 (b) Work out the probability of getting an odd number and the colour red. [2 marks] [2 marks] Answer Answer

AQA Higher: November 2017 Paper 1, Q27 There are 12 cubes in a box. 7 are yellow and 5 are blue. Two pens are taken out at random without replacement. Work out the probability that the two pens are different colours. 1 There are 12 cubes in a box. 7 are yellow and 5 are blue. Two pens are taken out at random without replacement. Work out the probability that the two pens are different colours. [4 marks] [4 marks] Answer Answer

2 3 2 3 AQA Higher: June 2018 Paper 2, Q11 1 Two ordinary fair dice are rolled. 1 (a) Complete the tree diagram. [1 mark] 1st dice 2nd dice 2 3 More than 2 2 3 More than 2 2 or less More than 2 2 or less 2 or less 1 (b) Work out the probability that both dice land on a number more than 2 [1 mark] Answer 1 (c) Work out the probability that exactly one of the dice lands on a number more than 2 [2 marks] Answer

AQA Higher: May 2017 Paper 1, Q16 1 A fair spinner has 7 equal sections numbered 1, 2, 3, 4, 5, 6 and 7 A fair six-sided dice has 1 blue face and 5 red faces. The spinner is spun. If the spinner shows an odd number, the dice is thrown. 1 (a) Complete the tree diagram for the spinner and the dice. [2 marks] Spinner Dice Even Odd 1 (b) Work out the probability of getting an odd number and the colour red. [2 marks] Answer

AQA Higher: November 2017 Paper 1, Q27 There are 12 cubes in a box. 7 are yellow and 5 are blue. Two pens are taken out at random without replacement. Work out the probability that the two pens are different colours. [4 marks] Answer

AQA Higher: June 2018 Paper 2, Q11 Two ordinary fair dice are rolled. 1 (a) Complete the tree diagram. [1 mark] 1st dice 2nd dice 2 3 More than 2 2 9 1 3 2 3 More than 2 2 or less 2 9 2 3 More than 2 1 3 2 or less 1 3 2 or less 1 (b) Work out the probability that both dice land on a number more than 2 2 3 × 2 3 = 4 9 [1 mark] 4 9 Answer 1 (c) Work out the probability that exactly one of the dice lands on a number more than 2 [2 marks] 2 3 + 2 3 = 4 9 4 9 Answer

AQA Higher: May 2017 Paper 1, Q16 1 A fair spinner has 7 equal sections numbered 1, 2, 3, 4, 5, 6 and 7 A fair six-sided dice has 1 blue face and 5 red faces. The spinner is spun. If the spinner shows an odd number, the dice is thrown. 1 (a) Complete the tree diagram for the spinner and the dice. [2 marks] Spinner Dice 3 7 Even 1 6 4 7 blue Odd 5 6 red 1 (b) Work out the probability of getting an odd number and the colour red. 4 7 × 5 6 = 20 42 𝑜𝑟 10 21 [2 marks] Answer

AQA Higher: November 2017 Paper 1, Q27 There are 12 cubes in a box. 7 are yellow and 5 are blue. Two pens are taken out at random without replacement. Work out the probability that the two pens are different colours. [4 marks] 6 11 Y 5 11 Y 7 12 7 12 × 5 11 = 35 132 B 7 11 5 12 × 7 11 = 35 132 Y 5 12 B 4 11 B 35 132 + 35 132 = 70 132 70 132 or 35 66 Answer

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