AQA•GCSE•Mathematics•Number
Prime numbers
AQA GCSE Mathematics practice questions with step-by-step solutions
Start Practicing Now
Generate unlimited Prime numbers questions. Choose your difficulty level, get instant feedback, and master this topic.
Unlimited questionsDetailed solutionsAQA exam style
Sample Questions
Try before you startPreview AQA GCSE style questions on Prime numbers. Click "Show Solution" to see the step-by-step answer.
EasyQuestion 1
[2 marks]From this list, write down all the prime numbers:
1, 2, 9, 11, 15, 17, 21, 23, 27
Solution for Question 1
MediumQuestion 2
[2 marks]Explain why 91 is not a prime number.
Solution for Question 2
HardQuestion 3
[3 marks]Find two prime numbers that:
- have a sum of 40
- have a product of 391
Solution for Question 3
Want more questions like these?
Generate Unlimited QuestionsAbout Prime numbers in AQA GCSE
A prime number has exactly two factors: 1 and itself. The first few primes are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29... Note that 1 is NOT prime (it only has one factor), and 2 is the only even prime.
To test if a number is prime, check if it's divisible by any prime up to its square root. For example, to test 97: √97 ≈ 9.8, so test primes 2, 3, 5, 7. None divide 97, so it's prime.
Prime numbers are the building blocks of all integers - every whole number greater than 1 can be written as a unique product of primes. This is called the Fundamental Theorem of Arithmetic and is the basis for prime factorisation.
What you'll practice
Exam-style questions matching the AQA specification, from basic to challenging
How it works
AI generates unique questions each time, with full worked solutions and mark schemes