Year 5 factors test to download as PDF

This Year 5 factors test lasts 40 minutes and is marked out of 20. It covers the whole chapter for pupils aged 9-10, and the full answers are on a separate page.

⏱️ Duration : 40 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Factors and multiples
(a) List all the factors of 28.
(b) Write the first five multiples of 9.
(c) Is 91 a multiple of 7? Show how you know.
(d) Write all the factor pairs of 20.
Question 2 – Primes, squares and cubes
(a) Write down the prime numbers between 20 and 40.
(b) Is 57 prime? Explain.
(c) Work out 6² and 4³.
(d) Which number in this list is a square number and a cube number: 8, 27, 36, 64?
Question 3 – Common factors and multiples
(a) Find the highest common factor of 24 and 36.
(b) Find the lowest common multiple of 6 and 10.
(c) Write 84 as a product of prime factors.
Question 4 – Divisibility
(a) Is 4,572 divisible by 9? Show your working.
(b) Write a three-digit number that is divisible by both 5 and 3.
(c) Explain why every number that ends in 4 is composite.
Question 5 – The school library
The school library has 72 new books to put on shelves. Each shelf must hold the same number of books and every shelf is full.
(a) Write 72 as a product of prime factors. (1 mark)
(b) The librarian uses 9 shelves. How many books are on each shelf? (1 mark)
(c) She wants more than 4 but fewer than 10 books on each shelf. Write all the possible numbers of books per shelf. (2 marks)
(d) The librarian says that 72 books could also be arranged in a square. Is she right? Explain. (1 mark)

How to use this Year 5 factors test

First, revise with the factors, multiples, primes, squares and cubes lesson and the worksheet. Then sit the test in one go, with a timer set to 40 minutes. After that, mark your work with the factors, multiples, primes, squares and cubes test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 5 factors test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.

Factors, multiples, primes, squares and cubes – Year 5 maths test to download as PDF

Question 1 – Factors and multiples

Question 2 – Primes, squares and cubes

Question 3 – Common factors and multiples

Question 4 – Divisibility

Question 5 – The school library

How to use this Year 5 factors test

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