1. Probability – Mixed – 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, 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]

5. 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 , , ,

7. 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

9. 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

11. AQA Foundation: June 2018 Paper 3, Q20
[1 mark]
The probability that A is the outcome of an experiment is 0.3
Circle the probability that A is not the outcome.
0.07
0.3
0.7 1
[1 mark]
The probability that A is the outcome of an experiment is 0.3
Circle the probability that A is not the outcome.
0.07
0.3
0.7 2
[1 mark]
The probability that A is the outcome of an experiment is 0.85
Circle the probability that A is not the outcome.
0.05 15
0.85
0.15 2
[1 mark]
The probability that A is the outcome of an experiment is 0.85
Circle the probability that A is not the outcome.
0.05 15
0.85
0.15
AQA Foundation: June 2018 Paper 3, Q20
AQA Foundation: June 2018 Paper 3, Q20 1
[1 mark]
The probability that A is the outcome of an experiment is 0.3
Circle the probability that A is not the outcome.
0.07
0.3
0.7 1
[1 mark]
The probability that A is the outcome of an experiment is 0.3
Circle the probability that A is not the outcome.
0.07
0.3
0.7 2
[1 mark]
The probability that A is the outcome of an experiment is 0.85
Circle the probability that A is not the outcome.
0.05 15
0.85
0.15 2
[1 mark]
The probability that A is the outcome of an experiment is 0.85
Circle the probability that A is not the outcome.
0.05 15
0.85
0.15

13. AQA Foundation: November 2017 Paper 1, Q13
A train can be early, on time or late.
The probability that the train is early is 0.2
The probability that the train is on time is 0.7
Work out the probability that the train is late. 1
A train can be early, on time or late.
The probability that the train is early is 0.2
The probability that the train is on time is 0.7
Work out the probability that the train is late.
[2 marks]
[2 marks]
Answer
Answer
AQA Foundation: November 2017 Paper 1, Q13
AQA Foundation: November 2017 Paper 1, Q13 1
A train can be early, on time or late.
The probability that the train is early is 0.2
The probability that the train is on time is 0.7
Work out the probability that the train is late. 1
A train can be early, on time or late.
The probability that the train is early is 0.2
The probability that the train is on time is 0.7
Work out the probability that the train is late.
[2 marks]
[2 marks]
Answer
Answer

15. + + AQA Foundation: May 2017 Paper 1, Q14
A number is picked at random from the first four prime numbers.
A number is picked at random from the first four square numbers.
The two numbers are added to get a score. 1
A number is picked at random from the first four prime numbers.
A number is picked at random from the first four square numbers.
The two numbers are added to get a score.
1(a)
[4 marks]
1(a)
[4 marks]
Complete the table
Complete the table
Square numbers
Square numbers 1 4 9 2 3 12 7 + 1 4 9 2 3 12 7 +
Prime
numbers
Prime
numbers
[1 mark]
[1 mark]
1(b)
1(b)
What is the probability that the score is a prime number?
What is the probability that the score is a prime number?
Answer
Answer

17. AQA Foundation: May 2018 Paper 1, Q13
In a game, two fair spinners are spun. 1
In a game, two fair spinners are spun. 1 4 6 2
Spinner A 2 5 3
Spinner B 1 4 6 2
Spinner A 2 5 3
Spinner B
If the numbers the arrows land on are different,
the score is the higher number.
If the numbers the arrows land on are the same, the score is 0
If the numbers the arrows land on are different,
the score is the higher number.
If the numbers the arrows land on are the same, the score is 0
1 (a)
Complete the table to show the possible scores.
1 (a)
Complete the table to show the possible scores.
Spinner B
Spinner B
[2 marks]
[2 marks] 2 3 5 1 4 6 2 3 5 1 4 6
Spinner A
Spinner A
[1 mark]
[1 mark]
1 (a)
Write down the probability that the score is an odd number.
1 (a)
Write down the probability that the score is an odd number.
Answer
Answer
[2 marks]
[2 marks]
1 (a)
The same game is played using spinners C and D.
The numbers on C are shown.
1 (a)
The same game is played using spinners C and D.
The numbers on C are shown.
Spinner B
Spinner B 1 6 7 4
Spinner C 1 4 6 7 8 1 6 7 4
Spinner C 1 4 6 7 8
Spinner C
Spinner C
Spinner D
Spinner D
Write the missing numbers on spinner D.
Write the missing numbers on spinner D.

19. BHS BHS BHS BHS AQA Foundation: November 2017 Paper 3, Q6
Hayley makes a sandwich using
bread (B) or a roll (R) and
ham (H) or cheese (C) and
salad (S) or pickle (P) 1
Hayley makes a sandwich using
bread (B) or a roll (R) and
ham (H) or cheese (C) and
salad (S) or pickle (P)
1 (a)
List all the possible types of sandwich Hayley could make.
One has been done for you.
1 (a)
List all the possible types of sandwich Hayley could make.
One has been done for you.
[2 marks]
[2 marks]
BHS
BHS
1 (a)
What fraction of the possible types of sandwich
have cheese and pickle?
1 (a)
What fraction of the possible types of sandwich
have cheese and pickle?
[1 marks]
[1 marks]
AQA Foundation: November 2017 Paper 3, Q6
AQA Foundation: November 2017 Paper 3, Q6 1
Hayley makes a sandwich using
bread (B) or a roll (R) and
ham (H) or cheese (C) and
salad (S) or pickle (P) 1
Hayley makes a sandwich using
bread (B) or a roll (R) and
ham (H) or cheese (C) and
salad (S) or pickle (P)
1 (a)
List all the possible types of sandwich Hayley could make.
One has been done for you.
1 (a)
List all the possible types of sandwich Hayley could make.
One has been done for you.
[2 marks]
[2 marks]
BHS
BHS
1 (a)
What fraction of the possible types of sandwich
have cheese and pickle?
1 (a)
What fraction of the possible types of sandwich
have cheese and pickle?
[1 marks]
[1 marks]

21. AQA Foundation: June 2018 Paper 3, Q9
A music app has a shuffle play function.
This means that songs are played in a random order without repeat. 1
A music app has a shuffle play function.
This means that songs are played in a random order without repeat.
1 (a)
Raj puts 10 songs on shuffle play.
One of them is his favourite song.
Write down the probability that his favourite song plays first.
1 (a)
Raj puts 10 songs on shuffle play.
One of them is his favourite song.
Write down the probability that his favourite song plays first.
[1 mark]
[1 mark]
Answer
Answer
1 (b)
Jack puts songs A, B and C on shuffle play.
List all the possible orders of songs A, B and C.
One has been done for you.
1 (b)
Jack puts songs A, B and C on shuffle play.
List all the possible orders of songs A, B and C.
One has been done for you.
ABC
[2 marks]
ABC
[2 marks]
AQA Foundation: June 2018 Paper 3, Q9
AQA Foundation: June 2018 Paper 3, Q9 1
A music app has a shuffle play function.
This means that songs are played in a random order without repeat. 1
A music app has a shuffle play function.
This means that songs are played in a random order without repeat.
1 (a)
Raj puts 10 songs on shuffle play.
One of them is his favourite song.
Write down the probability that his favourite song plays first.
1 (a)
Raj puts 10 songs on shuffle play.
One of them is his favourite song.
Write down the probability that his favourite song plays first.
[1 mark]
[1 mark]
Answer
Answer
1 (b)
Jack puts songs A, B and C on shuffle play.
List all the possible orders of songs A, B and C.
One has been done for you.
1 (b)
Jack puts songs A, B and C on shuffle play.
List all the possible orders of songs A, B and C.
One has been done for you.
ABC
[2 marks]
ABC
[2 marks]

25. 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

26. 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

29. + AQA Foundation: May 2017 Paper 1, Q14 1
A number is picked at random from the first four prime numbers.
A number is picked at random from the first four square numbers.
The two numbers are added to get a score.
1(a)
[4 marks]
Complete the table
Square numbers 1 4 9 2 3 12 7 +
Prime
numbers
[1 mark]
1(b)
What is the probability that the score is a prime number?
Answer

30. 1 2 2 3 4 6 5 1 4 6 7 AQA Foundation: May 2018 Paper 1, Q13 1
In a game, two fair spinners are spun. 1 4 6 2
Spinner A 2 5 3
Spinner B
If the numbers the arrows land on are different,
the score is the higher number.
If the numbers the arrows land on are the same, the score is 0
1 (a)
Complete the table to show the possible scores.
Spinner B
[2 marks] 2 3 5 1 4 6
Spinner A
[1 mark]
1 (a)
Write down the probability that the score is an odd number.
Answer
[2 marks]
1 (a)
The same game is played using spinners C and D.
The numbers on C are shown.
Spinner B 1 6 7 4
Spinner C 1 4 6 7 8
Spinner C
Spinner D
Write the missing numbers on spinner D.

35. 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

36. 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

39. AQA Foundation: May 2017 Paper 1, Q14
A number is picked at random from the first four prime numbers.
A number is picked at random from the first four square numbers.
The two numbers are added to get a score.
1(a)
[4 marks]
Complete the table
Square numbers 1 4 9 16 2 3 6 11 18 7 12 19 5 14 21 8 23 +
Prime
numbers
[1 mark]
1(b)
What is the probability that the score is a prime number?
6 16 = 3 8
Answer

40. AQA Foundation: May 2018 Paper 1, Q13
In a game, two fair spinners are spun. 1 4 6 2
Spinner A 2 5 3
Spinner B
If the numbers the arrows land on are different,
the score is the higher number.
If the numbers the arrows land on are the same, the score is 0
1 (a)
Complete the table to show the possible scores.
Spinner B
[2 marks] 2 3 5 1 4 6
Spinner A
[1 mark]
1 (a)
Write down the probability that the score is an odd number.
5 16
Answer
[2 marks]
1 (a)
The same game is played using spinners C and D.
The numbers on C are shown.
Spinner B 1 6 7 4
Spinner C 4 7 8 1 6
Spinner C
Spinner D 4 4 7 8
Write the missing numbers on spinner D.

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