Master Mental Multiplication and Division: Strategies for Year 5 Maths

Question 1

What mental multiplication strategy can you use to calculate 24 x 4 quickly?

Accepted Answer

Multiply by 10 and then divide by 2

Answer

Multiply by 2 and then multiply by 12

Answer

Multiply by 4 twice

Answer

Multiply by 3 and then multiply by 8

Question 2

Which number sentence represents the division of 45 by 5 using the halving method?

Accepted Answer

45 ÷ 5 = 45 ÷ 2 ÷ 2

Answer

45 ÷ 5 = 45 ÷ 10 ÷ 2

Answer

45 ÷ 5 = 45 + 5 + 5

Answer

45 ÷ 5 = 45 - 5 - 5

Question 3

Which of these is NOT a mental multiplication strategy?

Accepted Answer

Splitting a number into its factors

Answer

Multiplying by 10

Answer

Multiplying by a multiple of 10

Answer

Halving a number and doubling the result

Question 4

Use the chunking method to divide 578 by 7.

Accepted Answer

82

Answer

80

Answer

84

Answer

86

Question 5

Estimate the quotient of 675 ÷ 12 using a mental division strategy.

Accepted Answer

60

Answer

50

Answer

70

Answer

80

Question 6

Which number sentence matches the array below?
 [Image of a 3x4 array]

Accepted Answer

3 x 4 = 12

Answer

4 x 3 = 7

Answer

3 + 4 = 7

Answer

4 - 3 = 1

Question 7

Which mental strategy can you use to divide 27 by 3?

Accepted Answer

Repeated subtraction

Answer

Doubling and halving

Answer

Partitioning

Answer

Compensation

Question 8

Which number is NOT a factor of 12?

Accepted Answer

9

Answer

2

Answer

3

Answer

4

Question 9

Which of these numbers is a multiple of 10?

Accepted Answer

60

Answer

25

Answer

42

Answer

81

Question 10

To multiply a number by 5 quickly, which strategy is best?

Accepted Answer

Multiply by 10 and then halve it

Answer

Multiply by 9 and subtract 4

Answer

Multiply by 11 and subtract 6

Answer

Multiply by 12 and divide by 3

Question 11

Which method is most efficient for mentally dividing 68 by 4?

Accepted Answer

Halving strategy

Answer

Repeated subtraction strategy

Answer

Chunking strategy

Answer

Estimation

Question 12

What is the product of 12 and 6?

Accepted Answer

72

Answer

6

Answer

18

Answer

60

Question 13

When dividing 125 by 5 in your head, what is the result?

Accepted Answer

25

Answer

20

Answer

15

Answer

10

Question 14

To mentally divide 36 by 4, you could:

Accepted Answer

Divide 36 into 4 equal groups

Answer

Use a short division algorithm

Answer

Round 36 to 40 and divide

Answer

Use a calculator

Question 15

Which of the following is an example of compensation in mental multiplication?

Accepted Answer

9 multiplied by 7 is close to 10 multiplied by 7

Answer

9 multiplied by 6 equals 54

Answer

7 multiplied by 7 equals 49

Answer

10 multiplied by 7 equals 70

Question 16

What is the answer to 48 divided by 6 using the 'repeated subtraction' method?

Accepted Answer

8

Answer

6

Answer

4

Question 17

Which of the following is an example of fact families in mental multiplication?

Accepted Answer

3 multiplied by 4 equals 12, 4 multiplied by 3 equals 12, 12 divided by 3 equals 4, 12 divided by 4 equals 3

Answer

12 divided by 3 equals 9

Answer

3 multiplied by 4 equals 7

Answer

4 multiplied by 3 equals 9

Question 18

What's the easiest way to multiply a number by 10 in your head?

Accepted Answer

Add a zero to the end of the number

Answer

Break the number into smaller parts and multiply each part

Answer

Divide the number by 5 and then double the result

Answer

Cut the number in half and then double it

Question 19

What's a good way to guess the answer to dividing a big number by a small number?

Accepted Answer

Round both numbers to the nearest ten and then divide

Answer

Use long division

Answer

Use a calculator to find the exact answer

Answer

Just ignore any leftover amount

Question 20

Sarah wants to share 27 apples equally with her 3 friends. How many apples will each friend get if she uses the 'chunking' method?

Accepted Answer

9

Answer

3

Answer

6

Answer

12

Question 21

Which method is best for multiplying two numbers with two digits each in your head?

Accepted Answer

Break each number into tens and ones, multiply each part, and add the results

Answer

Keep adding the first number to itself the number of times shown by the second number

Answer

Use a calculator

Question 22

What's a downside of doing multiplication in your head?

Accepted Answer

It can be tricky with really big numbers

Answer

It works for all kinds of multiplication

Answer

It makes your answers more accurate

Answer

It helps you become a better problem solver

Question 23

What's a good thing about using mental division tricks?

Accepted Answer

It makes your brain good at doing math calculations

Answer

It always gives you perfect answers

Answer

It can help solve super hard division problems

Answer

You don't need to know any math to use these tricks

Question 24

You want to divide 72 by 9 mentally.  Which of these is the easiest way to think about it?

Accepted Answer

Think about how many 9s go into 72.

Answer

Multiply 9 by a number until you get 72.

Answer

Divide 72 by 10 and then subtract 1.

Answer

Subtract 9 from 72 until you reach zero.

Question 25

You need to divide 63 by 7. Which strategy could help you find the answer quickly?

Accepted Answer

Think about the multiplication fact 7 x 9.

Answer

Multiply 7 by a number until you get 63.

Answer

Subtract 7 from 63 until you reach zero.

Answer

Divide 63 by 10 and then add 3.

Question 26

You want to divide 40 by 5. Which of these is the easiest way to think about it?

Accepted Answer

Think about how many 5s go into 40.

Answer

Divide 40 by 10 and then add 2.

Answer

Subtract 5 from 40 until you reach zero.

Answer

Multiply 5 by a number until you get 40.

Question 27

Which number can you multiply by 8 to get 56?

Accepted Answer

7

Answer

10

Answer

6

Answer

9

Question 28

What is the easiest way to multiply 45 by 10?

Accepted Answer

Add a zero to the end of 45.

Answer

Add 10 to 45.

Answer

Multiply 45 by 5 then by 2.

Answer

Divide 45 by 10.

Question 29

Which of the following is the best strategy for mentally multiplying 7 by 12?

Accepted Answer

Double 7 and then multiply by 6.

Answer

Multiply 7 by 10 then add 14.

Answer

Add 7 twelve times.

Answer

Multiply 7 by 3 then by 4.

Question 30

What is the quotient when 72 is divided by 9?

Accepted Answer

8

Answer

7

Answer

6

Answer

9

Question 31

What is the quickest way to divide 60 by 5?

Accepted Answer

Think of how many 5s are in 10 and then multiply that by 6.

Answer

Divide 60 by 2 then divide by 5.

Answer

Divide 60 by 10 then multiply by 2.

Question 32

Using doubling and halving, what is the product of 18 and 5?

Accepted Answer

90

Answer

100

Answer

80

Answer

45

Question 33

What is the product of 25 and 4?

Accepted Answer

100

Answer

50

Answer

75

Answer

125

Question 34

You have 48 sweets and want to share them equally among 6 friends. How many sweets does each friend get?

Accepted Answer

8

Answer

6

Answer

7

Question 35

If you know 6 x 7 = 42, how can you quickly find 12 x 7?

Accepted Answer

Double the result of 6 x 7.

Answer

Multiply 42 by 2.

Answer

Divide 42 by 2.

Answer

Add 6 to 42.

Question 36

Which number should be multiplied by 9 to get 54?

Accepted Answer

6

Answer

5

Answer

7

Question 37

A baker needs to divide 48 cupcakes equally into 6 boxes. How many cupcakes go in each box?

Accepted Answer

8

Answer

7

Answer

6

Answer

9

Question 38

What is the product of 7 and 9?

Accepted Answer

63

Answer

81

Answer

72

Answer

56

Question 39

Which of these numbers is a factor of 24?

Accepted Answer

6

Answer

11

Answer

9

Answer

7

Question 40

To mentally multiply 35 by 4, you can:

Accepted Answer

Multiply 35 by 2 twice.

Answer

Multiply 35 by 10 and then divide by 4.

Answer

Multiply 35 by 4, one digit at a time.

Answer

Add 35 four times.

Question 41

If you divide 56 by 8, what is the result?

Accepted Answer

7

Answer

6

Answer

8

Answer

9

Question 42

What is the missing number in this equation: 3 x ___ = 27?

Accepted Answer

9

Answer

12

Answer

8

Answer

10

Question 43

A group of friends wants to share 36 sweets equally. If there are 4 friends, how many sweets will each friend get?

Accepted Answer

9

Answer

12

Answer

8

Answer

10

Question 44

What is the quickest way to multiply 15 by 4?

Accepted Answer

Double 15 and then double again.

Answer

Multiply 15 by 10 and then divide by 4.

Answer

Add 15 four times.

Answer

Multiply 15 by 4, one digit at a time.

Question 45

If you know that 6 x 7 = 42, what is 12 x 7?

Accepted Answer

84

Answer

70

Answer

98

Answer

56