Short Blocks

Maths Year 5/6 Summer Top-up Revision Menu

Each unit has everything you need to teach a set of related skills and concepts.

Factors, multiples, primes and squares (suggested as 2 days)

Planning and Activities

Day 1
Children list the factors of 24, then list common factors of 24 and 36, including the ‘Highest Common Factor’. Repeat for other factors, then common multiples, including the ‘Lowest Common Multiple’.
Group activities: T with Y5 or Y6
Y5 Use the ‘LCM Squares’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Play card games to generate and investigate common multiples and common factors.
Y6 -- Play card games to generate and investigate lowest common multiples and highest common factors. Some children might play an online multiples and factors game.

Day 2
List prime numbers up to 20. Discuss how to efficiently tell if larger numbers are prime. List square numbers up to 100.
Group activities: T with Y6
Y5 -- Investigate which square numbers have a prime next-door neighbour.
Y6 -- Play a game to identify square, prime or composite numbers.

You Will Need

  • Whiteboards and pens
  • Number cards 0–12
  • Internet access
  • Flipchart and pen

Worksheets

Day 1
Y5: Find common multiples and factors of given numbers.
Y6: Find common multiples and factors of given numbers.

Day 2
Y5: Identify prime and square numbers.
Y6: Identify prime and square numbers.

Mastery: Reasoning and Problem-Solving

Y5

  • Is the lowest common multiple of 6 and 4 smaller than the highest common factor of 30 and 45?
  • Write common factors of 24 and 48.
    Write common multiples of 3 and 5 up to 60.
    Are any numbers in both sets?
  • True or false?
    -- There are exactly four 2-digit, common multiples of 3 and 7.
    -- 4 and 5 are common factors of all 2-digit multiples of 10.
    -- 15 is a factor of 100.

Y6

  • Which pair(s) of numbers under 25 have the largest number of common factors? What is the highest common factor?
  • Write common multiples of 3 and 5 up to 60. What is the lowest common multiple?
    Use this information to find the lowest common multiple of 6 and 10.
  • True or false?
    The lowest common multiple of two prime numbers, a and b is always a × b.
    The highest common factor of two multiples of 7 is always 7.

Y5 In-depth Investigation: LCM Squares
Children use trial and improvement to find the smallest possible total on a square of lowest common multiples.