1. 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.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. 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

5. 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

7. 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

9. 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

10. 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

11. 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

12. 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]
= 4 9
4 9
Answer

13. 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 = 𝑜𝑟 10 21
[2 marks]
Answer

14. 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 = B
7 11
5 12 × 7 11 = Y
5 12 B
4 11 B = or
Answer

15. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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