*This quiz addresses the requirements of the National Curriculum KS1 Maths and Numeracy for children aged 6 and 7 in year 2. Specifically this quiz is aimed at the section dealing with using related division facts to perform written and mental calculations.*

Year 2 children should begin to understand the relationship (or facts) between multiplication and division, and learn how they can use that relationship to check their answers. For example, if they calculate that 3 x 4 = 12, than they could check by calculating that 12 shared into 4 equal groups would give 3 in each group. Knowing and using the division facts will help with this.

Question 1

What could you do to check this calculation is correct:

9 x 5 = 45

9 x 5 = 45

Multiply 45 by 9

Divide 45 by either 9 or 5

Multiply 45 by 5

Find the total of all 3 numbers

The calculation is correct, but checking it with either division would prove it

Question 2

Which 'family' of facts is correct?

2 x 3 = 5

6 x 2 = 3

6 ÷ 5 = 3

2 ÷ 3 = 6

6 x 2 = 3

6 ÷ 5 = 3

2 ÷ 3 = 6

4 x 5 = 20

5 x 4 = 20

20 ÷ 4 = 5

20 ÷ 5 = 4

5 x 4 = 20

20 ÷ 4 = 5

20 ÷ 5 = 4

2 x 8 = 14

8 x 2 = 14

18 ÷ 2 = 8

18 ÷ 8 = 2

8 x 2 = 14

18 ÷ 2 = 8

18 ÷ 8 = 2

4 x 9 = 50

9 x 4 = 50

55 ÷ 4 = 9

55 ÷ 9 = 4

9 x 4 = 50

55 ÷ 4 = 9

55 ÷ 9 = 4

If the multiplication facts are correct, the division facts should use the same numbers

Question 3

Which number is missing?

90 ÷ ? = 10

90 ÷ ? = 10

19

90

9

109

9 x 10 = 90 so 90 ÷ 9 = 10

Question 4

Which division calculation could you use to check this is correct:

10 x 5 = 50

10 x 5 = 50

50 ÷ 50 = 10

50 ÷ 5 = 10

10 ÷ 5 = 50

10 ÷ 50 = 5

You could also use 50 ÷ 10 = 5

Question 5

If 10 groups of 3 is 30...

then 30 multiplied by 30 will give 10

then 30 divided by 30 will give 3

then 30 multiplied by 3 will give 10

then 30 divided into groups of 3 will give 10 groups

A division 'cancels out' the multiplication as it is the opposite

Question 6

Seven groups of 2 makes 14 so 14 divided into groups of 2 would make...

28 groups

14 groups

2 groups

7 groups

If 7 x 2 = 14, then 14 ÷ 2 = 7 or 14 ÷ 7 = 2

Question 7

What is the opposite, or inverse of multiplication?

Subtraction

Addition

Multiplication

Division

Division and multiplication are the inverse of each other, as are addition and subtraction

Question 8

Which division calculation could you use to check this is correct:

5 x 6 = 30

5 x 6 = 30

6 ÷ 30 = 5

6 ÷ 5 = 30

30 ÷ 5 = 5

30 ÷ 5 = 6

In the division fact, the largest number always comes first

Question 9

Which two division facts can be found from knowing that 8 x 5 = 40?

5 ÷ 5 = 8 and 8 ÷ 8 = 5

40 ÷ 5 = 8 and 40 ÷ 8 = 5

40 ÷ 40 = 8 and 5 ÷ 5 = 40

8 ÷ 5 = 40 and 5 ÷ 8 = 40

The largest number comes first, followed by either of the smaller numbers to give the other as the answer

Question 10

Which number is missing?

? ÷ 5 = 7

? ÷ 5 = 7

35

57

75

30

5 x 7 = 35 so 35 ÷ 5 = 7

The next step is:

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