Activities
Programme of Study statements 
Activities 
A 
B 
C 
D 
E 
F 
G 
multiply multidigit numbers up to 4 digits by a twodigit whole number using the formal written method of long multiplication 







divide numbers up to 4 digits by a twodigit 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 







perform mental calculations, including with mixed operations and large numbers 







identify common factors, common multiples and prime numbers 







solve problems involving multiplication and division use estimation to check answers to calculations and determine, in the context of a problem, levels of accuracy 







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 





3567 



x24 



14268 



71340 



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 09 digit cards. They choose four of the cards, make a fourdigit 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.