1. Probability – Single Event – Foundation – 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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3. AQA Foundation: November 2017 Paper 3, Q2
1 6 1
[1 mark]
A fair ordinary dice is thrown once.
Circle the probability of getting a 2 or a 3
2 6
3 6
5 6
1 6 1
[1 mark]
A fair ordinary dice is thrown once.
Circle the probability of getting a 2 or a 3
2 6
3 6
5 6
1 6 2
[1 mark]
A fair ordinary dice is thrown once.
Circle the probability of getting an odd number or a 4
2 6
3 6
4 6
1 6 2
[1 mark]
A fair ordinary dice is thrown once.
Circle the probability of getting an odd number or a 4
2 6
3 6
4 6
AQA Foundation: November 2017 Paper 3, Q2
AQA Foundation: November 2017 Paper 3, Q2
1 6 1
[1 mark]
A fair ordinary dice is thrown once.
Circle the probability of getting a 2 or a 3
2 6
3 6
5 6
1 6 1
[1 mark]
A fair ordinary dice is thrown once.
Circle the probability of getting a 2 or a 3
2 6
3 6
5 6
1 6 2
[1 mark]
A fair ordinary dice is thrown once.
Circle the probability of getting an odd number or a 4
2 6
3 6
4 6
1 6 2
[1 mark]
A fair ordinary dice is thrown once.
Circle the probability of getting an odd number or a 4
2 6
3 6
4 6

5. AQA Foundation: November 2017 Paper 3, Q11
A fair spinner has 12 equal sections.
Label each section A, B, C or D so that when the arrow is spun,
the probability it lands on A is 1 6
the probability it lands on B is equal to the probability it lands on C
the probability it lands on D is double the probability it lands on A. 1
A fair spinner has 12 equal sections.
Label each section A, B, C or D so that when the arrow is spun,
the probability it lands on A is 1 6
the probability it lands on B is equal to the probability it lands on C
the probability it lands on D is double the probability it lands on A.
[3 marks]
[3 marks]
AQA Foundation: November 2017 Paper 3, Q11
AQA Foundation: November 2017 Paper 3, Q11 1
A fair spinner has 12 equal sections.
Label each section A, B, C or D so that when the arrow is spun,
the probability it lands on A is 1 6
the probability it lands on B is equal to the probability it lands on C
the probability it lands on D is double the probability it lands on A. 1
A fair spinner has 12 equal sections.
Label each section A, B, C or D so that when the arrow is spun,
the probability it lands on A is 1 6
the probability it lands on B is equal to the probability it lands on C
the probability it lands on D is double the probability it lands on A.
[3 marks]
[3 marks]

7. AQA Foundation: June 2017 Paper 3, Q12
Put these probabilities in order, starting with the least likely.
[2 marks] 1
Put these probabilities in order, starting with the least likely.
[2 marks]
1 5
3 4
1 5
3 4
50%
0.505
50%
0.505
Answer , , ,
Answer , , , 2
Put these probabilities in order, starting with the least likely.
[2 marks] 2
Put these probabilities in order, starting with the least likely.
[2 marks]
1 3
3 5
1 3
3 5
0.03
30%
0.03
30%
Answer , , ,
Answer , , ,
AQA Foundation: June 2017 Paper 3, Q12
AQA Foundation: June 2017 Paper 3, Q12 1
Put these probabilities in order, starting with the least likely.
[2 marks] 1
Put these probabilities in order, starting with the least likely.
[2 marks]
1 5
3 4
1 5
3 4
50%
0.505
50%
0.505
Answer , , ,
Answer , , , 2
Put these probabilities in order, starting with the least likely.
[2 marks] 2
Put these probabilities in order, starting with the least likely.
[2 marks]
1 3
3 5
1 3
3 5
0.03
30%
0.03
30%
Answer , , ,
Answer , , ,

9. AQA Foundation: June 2017 Paper 2, Q20
A code has 4 digits.
Each digit is a number from 0 to 9
Digits may be repeated.
The code starts 9 8 5 1
A code has 4 digits.
Each digit is a number from 0 to 9
Digits may be repeated.
The code starts 9 8 5 9 8 5 9 8 5
[1 mark]
[1 mark]
1 (a)
Alice chooses a number at random for the last digit.
Write down the probability that she chooses the correct number.
1 (a)
Alice chooses a number at random for the last digit.
Write down the probability that she chooses the correct number.
Answer
Answer
1 (b)
[1 mark]
[1 mark]
Trevor knows the last digit is odd but not 1 or 9.
He chooses a different odd number at random.
What is the probability that he chooses the correct number?.
1 (b)
Trevor knows the last digit is odd but not 1 or 9.
He chooses a different odd number at random.
What is the probability that he chooses the correct number?.
Answer
Answer

11. AQA Foundation: November 2017 Paper 1, Q9
In a game, three stars are hidden at random.
Each star is behind a different square on this board. 1
In a game, three stars are hidden at random.
Each star is behind a different square on this board. A B C D E A B C D E 1 1 2 2 3 3 4 4 5 5
1 (a)
A square is chosen at random.
What is the probability that there is a star behind it?
1 (a)
A square is chosen at random.
What is the probability that there is a star behind it?
[1 mark]
[1 mark]
Answer
Answer
1 (b)
In one game, the stars are behind three consecutive squares.
The squares are in one row or one column.
One of the squares is E2
Write down all the possible pairs for the other two squares.
1 (b)
In one game, the stars are behind three consecutive squares.
The squares are in one row or one column.
One of the squares is E2
Write down all the possible pairs for the other two squares.
[2 marks]
[2 marks]
Answer
Answer

13. AQA Foundation: June 2017 Paper 3, Q25
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7 1
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7
1 (a)
Work out the number of students in the school who study Drama.
1 (a)
Work out the number of students in the school who study Drama.
[3 marks]
[3 marks]
Answer
Answer
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
[2 marks]
[2 marks]
Answer
Answer

15. AQA Foundation: June 2017 Paper 3, Q9
List all the factors of 40
1 (a)
List all the factors of 40
[2 marks]
[2 marks]
Answer
Answer
1 (b)
A factor of 40 is chosen at random.
What is the probability that it is a 2-digit number?
1 (b)
A factor of 40 is chosen at random.
What is the probability that it is a 2-digit number?
[1 mark]
[1 mark]
Answer
Answer
AQA Foundation: June 2017 Paper 3, Q9
AQA Foundation: June 2017 Paper 3, Q9
1 (a)
List all the factors of 40
1 (a)
List all the factors of 40
[2 marks]
[2 marks]
Answer
Answer
1 (b)
A factor of 40 is chosen at random.
What is the probability that it is a 2-digit number?
1 (b)
A factor of 40 is chosen at random.
What is the probability that it is a 2-digit number?
[1 mark]
[1 mark]
Answer
Answer

20. AQA Foundation: June 2017 Paper 2, Q20
A code has 4 digits.
Each digit is a number from 0 to 9
Digits may be repeated.
The code starts 9 8 5 9 8 5
[1 mark]
1 (a)
Alice chooses a number at random for the last digit.
Write down the probability that she chooses the correct number.
Answer
1 (b)
[1 mark]
Trevor knows the last digit is odd but not 1 or 9.
He chooses a different odd number at random.
What is the probability that he chooses the correct number?.
Answer

21. AQA Foundation: November 2017 Paper 1, Q9
In a game, three stars are hidden at random.
Each star is behind a different square on this board. A B C D E 1 2 3 4 5
1 (a)
A square is chosen at random.
What is the probability that there is a star behind it?
[1 mark]
Answer
1 (b)
In one game, the stars are behind three consecutive squares.
The squares are in one row or one column.
One of the squares is E2
Write down all the possible pairs for the other two squares.
[2 marks]
Answer

22. AQA Foundation: June 2017 Paper 3, Q25
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7
1 (a)
Work out the number of students in the school who study Drama.
[3 marks]
Answer
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
[2 marks]
Answer

27. AQA Foundation: June 2017 Paper 2, Q20
A code has 4 digits.
Each digit is a number from 0 to 9
Digits may be repeated.
The code starts 9 8 5 9 8 5
[1 mark]
1 (a)
Alice chooses a number at random for the last digit.
Write down the probability that she chooses the correct number.
0, 1, 2, 3, 4, 5, 6, 7, 8, 9 = 10
1 10
Answer
1 (b)
[1 mark]
Trevor knows the last digit is odd but not 1 or 9.
He chooses a different odd number at random.
What is the probability that he chooses the correct number?.
1, 3, 5, 7, 9 × ×
1 3
Answer

28. 3 25 E1, E3 C2, D2 E3, E4 AQA Foundation: November 2017 Paper 1, Q9 1
In a game, three stars are hidden at random.
Each star is behind a different square on this board. A B C D E 1 2 3 4 5
1 (a)
A square is chosen at random.
What is the probability that there is a star behind it?
3 25
[1 mark]
Answer
1 (b)
In one game, the stars are behind three consecutive squares.
The squares are in one row or one column.
One of the squares is E2
Write down all the possible pairs for the other two squares.
[2 marks]
E1, E3
C2, D2
E3, E4
Answer

29. Boys: 660 × 2 5 = 264 Girls: 840 × 3 7 = 360 Total = 240 + 360 = 624
AQA Foundation: June 2017 Paper 3, Q25 1
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7
1 (a)
Work out the number of students in the school who study Drama.
Boys: 660 × = 264
[3 marks]
Girls: 840 × = 360
Total = = 624
624
Answer
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
[2 marks]
Total students = = 1500
NOT drama = 1500 – 624 = 876
73 125 OR
Answer

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