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Answers for Mental multiplication worksheet

It is important to note that these suggested answers are just one of the many possible strategies that children may use.

1.

439 x 10
Possible strategy: front end multiplication
10 x 400 = 4 000

10 x 30 = 300
10 x 9 = 90
Therefore:
429 x 10 = 4 000 x 300 x 90 = 4 390

2.

2 x 18 x 5 = 180
Possible strategy: multiplication in stages using base ten
2 x 18 x 5

= 10 x 18
= 180

3.

4 x 36 x 5
Possible strategy: using the known facts of the previous question.
4 x 36 x 5
= 4 x previous algorithm
= 4 x 2 x 18 x 5
= 4 x 180
= 720

4.

102 x 21 = 2142
Possible strategy: multiplication in stages
102 x 21
= (100 x 21) + (21 x 2)

= 2 100 + 42
= 2 142

5.

999 x 6 = 5994
Possible strategy: rounding
999 is very close to 1 000. Therefore since 1 000 x 6 = 6 000, 999 x 6 = 6 000 - 6

6.

25 x 8 = 200
Possible strategy:
Doubling a known fact
25 x 8
= 25 x 4 x 2
= 100 x 2
= 200

7.

25 x 9
Possible strategy:
use the previous solution
25 x 9
= 25 x 8 + 25
= 200 + 25
= 225

8.

32 x 50 = 1600
Possible strategy: Halving and doubling
32 x 50
= 16 x 100
= 1 600

9.

32 x 52 = 1664
Possible strategy: Using previous question
32 x 52
= 16 x 100 + 2 x 32
= 1 600 + 64
= 1 664

10.

75 x 6 = 450
Possible strategy: multiplication in stages using a known fact
75 x 6
= 3 x 25 x 6
= 3 x 150
= 450

11.

8 x 17 = 136
Possible strategy: repeated doubling
8 x 17
= 2 x 2 x 2 x 17
= 136

12.

13 x 12 = 156
Possible strategy: using table knowledge
13 x 12
= 12 x 12 + 12
= 139

13.

24 x 125 = 3000
Possible strategy: using the known fact provided
24 x 125
= 3 x 8 x 125
= 3 x 1 000
= 3 000

14.

26 x 7 x 33 = 6006
Possible strategy: using the known fact provided
26 x 7 x 33
= 2 x 13 x 7 x 11 x 3
= 6 x 1 001
= 6 006

15.

900 ÷ 225
Possible strategy: using the known fact provided
Since 30 x 30 = 900
And 30 can be expressed as 2 x 15
Then 30 x 30 = 2 x 15 x 2 x 15 = 900
Then 4 x 225 = 900
Therefore there are four 225s in 900.

16.

212 = 4096
Possible strategy: doubling
Since 210  = 1024
212 = 1024 x 2 x 2 = 4096


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