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National Curriculum: Multiplication and Division - Year 6 - Activities

Created on 15 October 2013 by ncetm_administrator
Updated on 05 March 2014 by ncetm_administrator


Programme of Study statements Activities
multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication bullet bullet          
divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context     bullet bullet      
perform mental calculations, including with mixed operations and large numbers         bullet    
identify common factors, common multiples and prime numbers           bullet  
solve problems involving multiplication and division use estimation to check answers to calculations and determine, in the context of a problem, levels of accuracy             bullet

Activity A

Teachers could ask the children to create their own numbers to multiply using digit cards and dice. Make the link between the grid method and the compact method, for example, asking the children what is the same and what is different about the two methods:

  3000 500 60 7    
20 60000 10000 1200 140   71340
4 12000 2000 240 28   14268
          Total 85608


Activity B

Set problems such as:

Naomi had a stamp album; it had 135 pages. On each page there were 45 stamps. How many stamps did she have?

This Nrich activity entitled ‘Long Multiplication’ requires children to solve a multiplication puzzle where all except one of the digits are missing. A wonderful challenge!

Activity C

Set problems such as:

Yukesh was given a box of 755 books to put on the shelves in the library. He put 24 books on each shelf. How many shelves did he fill? How many shelves did he need for all the books?

Courtney had a collection of 1256 coins. She put them into piles of 16. How many piles did she have? How many were left?

Activity D

Give the children a set of 0-9 digit cards. They choose four of the cards, make a four-digit number and write it down. They then use two of those cards to make the divisor. They calculate the answer and then make up a linked problem using their numbers.

Activity E

Provide the children with problems that involve using mental calculation strategies, such as:

  • x4 by doubling and doubling again,
  • x5 by x10 and halving
  • x20 by x10 and doubling
  • x9 by multiplying by 10 and adjusting
  • x6 by multiplying by 3 and doubling

Activity F

‘Abundant Numbers’, an activity from Nrich requires children to explore factors of numbers. ‘Factors and multiples’ is another Nrich game, perfect for practising skills.

Activity G

Provide problems such as:

  • Milly is saving £2.75 a week to buy a pair of jeans. The jeans cost £37. For how many weeks does she need to save?
  • In Sports 4 U, there are 18 larges boxes each containing 136 footballs. How many footballs are there altogether?

For each problem, ask the children to check their answer by rounding. They could also use this method to estimate what the answer might be before solving the problem.


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14 October 2016 13:35
Really helpful ideas, thank you.
By jfeist
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05 March 2014 15:47
Fantastic resource throughout the year groups though. Thanks
By sgalbraith
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05 March 2014 15:46
In Activity A - 3000 x 20 - should read 60000 on the grid. It is correct in the calculation.
By sgalbraith
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