1. Prime Numbers – Foundation – GCSE Questions
These questions are the same format as previous GCSE exams.

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3. GCSE GCSE GCSE GCSE Edexcel Foundation: November 2017 Paper 3, Q9
Benjamin writes down two different prime numbers.
He adds together his two prime numbers.
His answer is a square number less than 30
Find two prime numbers that Benjamin could have written down. 1
Benjamin writes down two different prime numbers.
He adds together his two prime numbers.
His answer is a square number less than 30
Find two prime numbers that Benjamin could have written down.
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks)
GCSE
Edexcel Foundation: November 2017 Paper 3, Q9
GCSE
Edexcel Foundation: November 2017 Paper 3, Q9 1
Benjamin writes down two different prime numbers.
He adds together his two prime numbers.
His answer is a square number less than 30
Find two prime numbers that Benjamin could have written down. 1
Benjamin writes down two different prime numbers.
He adds together his two prime numbers.
His answer is a square number less than 30
Find two prime numbers that Benjamin could have written down.
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks)

5. GCSE GCSE GCSE GCSE Edexcel Foundation: November 2017 Paper 2, Q7
Dean says,
“There are more prime numbers between 20 and 30
than there are between 10 and 20”
Is Dean right?
You must show how you get your answer. 1
Dean says,
“There are more prime numbers between 20 and 30
than there are between 10 and 20”
Is Dean right?
You must show how you get your answer.
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks)
GCSE
Edexcel Foundation: November 2017 Paper 2, Q7
GCSE
Edexcel Foundation: November 2017 Paper 2, Q7 1
Dean says,
“There are more prime numbers between 20 and 30
than there are between 10 and 20”
Is Dean right?
You must show how you get your answer. 1
Dean says,
“There are more prime numbers between 20 and 30
than there are between 10 and 20”
Is Dean right?
You must show how you get your answer.
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks)

7. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2017 Paper 2, Q8
Here is a list of numbers.
(a) From the numbers in the list, write down a square number.
(b) From the number in the list, write down a number that is a
multiple of both 3 and 8
(c) Write down all the prime numbers in the list. 1
Here is a list of numbers.
(a) From the numbers in the list, write down a square number.
(b) From the number in the list, write down a number that is a
multiple of both 3 and 8
(c) Write down all the prime numbers in the list.
(1)
(1)
(1)
(1)
(1)
(1)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
Edexcel Foundation: June 2017 Paper 2, Q8
GCSE
Edexcel Foundation: June 2017 Paper 2, Q8 1
Here is a list of numbers.
(a) From the numbers in the list, write down a square number.
(b) From the number in the list, write down a number that is a
multiple of both 3 and 8
(c) Write down all the prime numbers in the list. 1
Here is a list of numbers.
(a) From the numbers in the list, write down a square number.
(b) From the number in the list, write down a number that is a
multiple of both 3 and 8
(c) Write down all the prime numbers in the list.
(1)
(1)
(1)
(1)
(1)
(1)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

9. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2018 Paper 2, Q10
(a) Write down all the prime numbers between 25 and 35 1
(a) Write down all the prime numbers between 25 and 35
(2)
(2)
Sally says,
“2 is the only even prime number.”
(b) Is Sally right?
You must give a reason for your answer
Sally says,
“2 is the only even prime number.”
(b) Is Sally right?
You must give a reason for your answer
(1)
(1)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Foundation: June 2018 Paper 2, Q10
Edexcel Foundation: June 2018 Paper 2, Q10 1
(a) Write down all the prime numbers between 25 and 35 1
(a) Write down all the prime numbers between 25 and 35
(2)
(2)
Sally says,
“2 is the only even prime number.”
(b) Is Sally right?
You must give a reason for your answer
Sally says,
“2 is the only even prime number.”
(b) Is Sally right?
You must give a reason for your answer
(1)
(1)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

12. GCSE Edexcel Foundation: November 2017 Paper 2, Q7
Dean says,
“There are more prime numbers between 20 and 30
than there are between 10 and 20”
Is Dean right?
You must show how you get your answer.
(Total for Question 1 is 2 marks)

14. GCSE Edexcel Foundation: June 2018 Paper 2, Q10 1
(a) Write down all the prime numbers between 25 and 35
(2)
Sally says,
“2 is the only even prime number.”
(b) Is Sally right?
You must give a reason for your answer
(1)
(Total for Question 1 is 3 marks)

15. GCSE
Edexcel Foundation: November 2017 Paper 3, Q9 1
Benjamin writes down two different prime numbers.
He adds together his two prime numbers.
His answer is a square number less than 30
Find two prime numbers that Benjamin could have written down.
Prime numbers – 2, 3, 5, 7, 11, 13, 17, 19, 23
Square numbers – 1, 4, 9, 16, 25
2 + 7 = 9
= 16
= 16
= 25
23, 3
(Total for Question 1 is 2 marks)

16. GCSE Primes between 20 and 30: 23, 29 Primes between 10 and 20:
Edexcel Foundation: November 2017 Paper 2, Q7 1
Dean says,
“There are more prime numbers between 20 and 30
than there are between 10 and 20”
Is Dean right?
You must show how you get your answer.
Primes between 20 and 30:
23, 29
Primes between 10 and 20:
11, 13, 17, 19
Dean is wrong.
(Total for Question 1 is 2 marks)

17. GCSE
Edexcel Foundation: June 2017 Paper 2, Q8 1
Here is a list of numbers.
(a) From the numbers in the list, write down a square number.
(b) From the number in the list, write down a number that is a
multiple of both 3 and 8
(c) Write down all the prime numbers in the list.
1, 4, 9, 16, 25, 36 25
(1) 24
3: 3, 6, 9, 12, 15, 18, 21, 24, 27
(1)
8: 8, 16, 24, 32
19, 23
(1)
(Total for Question 1 is 3 marks)

18. 29, 31 GCSE Yes because every other even number has 2 as a factor.
Edexcel Foundation: June 2018 Paper 2, Q10 1
(a) Write down all the prime numbers between 25 and 35
29, 31
(2)
Sally says,
“2 is the only even prime number.”
(b) Is Sally right?
You must give a reason for your answer
Yes because every other even number
has 2 as a factor.
(1)
(Total for Question 1 is 3 marks)

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