New
New
Year 4

Use multiplication facts to answer division questions

I can use multiplication facts to solve division problems, including those with remainders.

New
New
Year 4

Use multiplication facts to answer division questions

I can use multiplication facts to solve division problems, including those with remainders.

Lesson details

Key learning points

  1. Multiplication facts can be used to solve division equations and problems.
  2. In cases with a remainder, the largest multiple that is less than or equal to the dividend can be used.
  3. This indicates which multiplication fact should be used to find the number of equal groups.
  4. When the largest multiple is found, it is subtracted from the dividend to find the remainder.

Common misconception

Children may choose the multiple that is higher than or closest to the dividend, for example to solve 47 divided by 6, they may choose 8 x 6 = 48 instead of 7 x 6 = 42

Choose smaller numbers to demonstrate the concept, using practical equipment and number lines to demonstrate why the number must be equal to or less than the dividend.

Keywords

  • Grouping - Grouping is when we divide a number of objects into equal groups. We know the total number of objects and the number of objects in each group, but we don't know how many equal groups there are.

  • Sharing - Sharing is when a whole amount is split into equal parts or groups. We know the total number of objects and the number of parts it is split into, but we don't know how many are in each part.

  • Remainder - A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.

Make a times table chart available so that children can focus their attention on this idea rather than on recalling tables facts. Identifying the largest relevant multiple of a divisor, and finding the difference between that and the dividend, is essential for formal written methods of division.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Match the multiplication expressions to the correct products.
Correct Answer:8 × 7,56

56

Correct Answer:7 × 9,63

63

Correct Answer:9 × 6,54

54

Correct Answer:8 × 8,64

64

Correct Answer:9 × 8,72

72

Q2.
Match the division expressions to the correct quotient.
Correct Answer:81 ÷ 9,9

9

Correct Answer:48 ÷ 6 ,8

8

Correct Answer:42 ÷ 7,6

6

Correct Answer:48 ÷ 4,12

12

Correct Answer:56 ÷ 8,7

7

Q3.
Which bar model represents this problem? Sofia has 60 biscuits and she divides them between 5 bags.
a
Correct answer: b
c
Q4.
Alex divides 49 eggs into 7 boxes. There are eggs in each box.
Correct Answer: 7
Q5.
What is the remainder when 67 sweets are divided between 9 packets? sweets
An image in a quiz
Correct Answer: 4
Q6.
Alex divides 40 pencils equally between 6 pots. How many pencils are in each pot?
5 pencils
Correct answer: 6 pencils
7 pencils

6 Questions

Q1.
Match the parts of the sentence correctly.
Correct Answer:56 is,the largest multiple of 7 that is less than or equal to 58

the largest multiple of 7 that is less than or equal to 58

Correct Answer:25 is,the largest multiple of 5 that is less than or equal to 28

the largest multiple of 5 that is less than or equal to 28

Correct Answer:80 is,the largest multiple of 10 that is less than or equal to 82

the largest multiple of 10 that is less than or equal to 82

Q2.
What is the largest multiple of 6 that is less than or equal to 32?
24
Correct answer: 30
36
Q3.
Look at this equation. 45 ÷ 7 = ___ The largest multiple of 7 that is less than or equal to 45 is
Correct Answer: 42
Q4.
45 sweets are divided between 8 bags. There are ___ sweets in each bag. Which multiplication fact will help you to solve this problem?
4 × 8 = 32
Correct answer: 5 × 8 = 40
6 × 8 = 48
Q5.
Using the given multiples of 12, solve the equation.
An image in a quiz
3 r 6
Correct answer: 3 r 4
4 r 8
Q6.
Solve this equation. 50 ÷ 9 = ___
5 r 6
Correct answer: 5 r 5
5 r 7
6 r 4