Mental Arithmetic

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1 Work out
a) 24 × 5 =
Mental Arithmetic: Foundation
b) 63 × 8 =
c) 98 ÷ 2 =
d) 78 ÷ 3 =
Grade G
Which grade are you…..?
a) How much has she spent altogether?
b) How much money does she have left?
3 Work out
a) 5.6 × 10
b) 2.8 × 100
f) 45 ÷ 10
d) 1.056 × 100
g) 2.9 ÷ 100
h) 23.5 ÷ 1000
5 Round each of the following to 1 decimal place
b) 0.744
c) 12.709
6 Work out
a) 4 squared
b) the cube of 5
c) the cube root of 64
7 Write as a single power of 5
a) 53 × 54
d) 0.599
Grade D
a) 3.46
d) √81
56
b) 52 × 5
d) (52 )3
c) 52
8 Round each the following to 1 significant figure
a) 123
b) 3504
c) 64599
d) 1.555
e) 0.564
f) 0.07821
9 Estimate
a)
34.3 + 16.754
34.56 − 4.65
b)
Grade E
Grade E
4 Mr H buys 42 boxes of clip on ties.
Each box contains 36 ties.
How many ties has Mr H bought?
143 + 266
√105
Grade C
e) 55.43 ÷ 10
c) 0.34 × 1000
Grade F
£4.70
Grade C
£2.08
Grade C
£1.54
Grade F
2 Jill goes shopping with £10. She spends the following amounts in 3 different shops
10 Katie is organising a school disco. She needs to buy 10 bottles of squash
a) How should she buy the squash to spend the least amount of money?
You must explain your answer.
b) From each bottle of squash she can make 22 drinks.
She plans to sell each drink for 45p.
How much profit will she make?
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Grade C
Shop A have a 3 for the price of 2 offer with each bottle costing £1.50.
Shop B have bottles for £1.20 each or a pack of six for £5.90.
ANSWERS
1 Work out
a) 24 × 5 = 120 
Mental Arithmetic: Foundation
b) 63 × 8 = 504 
c) 98 ÷ 2 = 49 
d) 78 ÷ 3 = 26 
Grade G
Which grade are you…..?
5 Round each of the following to 1 decimal place
Grade D
6 Work out
a) 4 squared 16
d) 0.599 0.6 
b) the cube of 5 125
c) the cube root of 64 4 
7 Write as a single power of 5
a) 53 × 54 57 
d) √81 9
b) 52 × 5 53 
56
c) 52 54 
d) (52 )3 56 
8 Round each the following to 1 significant figure
a) 123 100
d) 1.555 2
9 Estimate
34.3 + 16.754
a) 34.56 − 4.65
b) 3504 4000
e) 0.564 0.6
30+20
30−5
= 2 
c) 64599 60000
f) 0.07821 0.08
b)
143 + 266 100+300
√105
√100
= 40
Grade C
c) 12.709 12.7
Grade C
b) 0.744 0.7 
Grade C
a) 3.46 3.5
Grade E
Grade E
4 Mr H buys 42 boxes of clip on ties.
Each box contains 36 ties.
How many ties has Mr H bought? 1512 
Grade F
£1.54
£2.08
£4.70
a) How much has she spent altogether? £8.32 
b) How much money does she have left? £1.68 
3 Work out
a) 5.6 × 10 56  b) 2.8 × 100 280  c) 0.34 × 1000 340  d) 1.056 × 100 105.6 
e) 55.43 ÷ 10 5.543  f) 45 ÷ 10 4.5  g) 2.9 ÷ 100 0.029  h) 23.5 ÷ 1000 0.0235 
Grade F
2 Jill goes shopping with £10. She spends the following amounts in 3 different shops
10 Katie is organising a school disco. She needs to buy 10 bottles of squash
Grade C
Shop A have a 3 for the price of 2 offer with each bottle costing £1.50.
Shop B have bottles for £1.20 each or a pack of six for £5.90.
a) How should she buy the squash to spend the least amount of money?
You must explain your answer. 7 bottle of B and 3 bottles of A 
b) From each bottle of squash she can make 22 drinks. 10 x 22 = 220 drinks
She plans to sell each drink for 45p. 220 x 45p = £99.00
How much profit will she make? £99.00 - £10.10 = £88.90 profit 
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
40 marks
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