S1 Maths Revision- Decimals

This study pack contains revision work for Decimals.

We have some reminders to help you remember how to do the calculations. Have a look through them then have a go at the questions in the revision exercises. They are at Extension, Core and Groundwork levels.

Choose the exercise that suits you best. You may wish to try more than one of them. Always try the easier one first. Answers are at the end so that you can check how you get on.

Good luck.

Reminders

Revision Topic – Decimals

S1 Groundwork – Revision

Decimals

1. Write these numbers in order, highest to lowest.

10.74 10.62 10.5 10.7

2. Identify the numbers the arrows are pointing to

3. Calculate the mid point between these numbers:

a) 4 and 5

b) 31 and 32

4. Calculate the answer to these, without using a

calculator.

a) 11.4 + 3.5 b) 98.6 – 5.3

c) 5.4 X 3 d) 86.4 ÷ 4

e) 2.3 X 10 f) 2.81 X 100

g) 34 ÷ 10 h) 316 ÷ 100

5 6 A B

18 19 C

5. For each of the following questions, write the correct

calculations and work out the answer.

Still no calculator allowed!

a) Mike is getting some shopping.

He buys a bag of apples for £1.45

and a box of cereal for £3.84.

How much does this cost him altogether?

b) Mike also buys four tins of beans.

Each tin weighs 0.6kg.

How much do the four tins weigh?

6. Round these numbers to the nearest whole number.

a) 8.2 b) 3.9 c) 19.8

S1 Core– Revision

Decimals

1. Write these numbers in order, highest to lowest.

10.25 10.4 10.18 10.34 10.2

2. Identify the numbers the arrows are pointing to

3. Calculate the mid point between these numbers:

a) 3.6 and 3.7

b) 2.5 and 2.54

4. Calculate the answer to these, without using a

calculator.

(Set a – d out properly)

a) 2.45 + 23.8 b) 142.93 – 86.3

c) 32.8 X 4 d) 55.8 ÷ 3

e) 34.8 X 10 f) 21.6 X 100

g) 87 ÷ 10 h) 348 ÷ 100

7 8 A B C

4.6 4.7 D E F

For each of the following questions, write the correct

calculations and work out the answer.

Still no calculator allowed!

5. Harry is doing some online shopping.

He checks out the prices of the things

that he needs:

Cereal (box): £1.40

Bread (loaf): £0.60

Milk (pint): £0.55

Apples (bag): £2

a) He decides to buy a box of cereal, three

loaves of bread and two pints of milk.

How much will this cost?

b) He has £10 left in his bank account and

decides to buy apples with what he has left.

How many bags of apples can he buy?

7. Sally is doing the shopping for her café.

She wants 100 bags of sugar and

6 sacks of potatoes.

Bag of sugar weighs 1.4Kg

Sack of potatoes weighs 48.6 kg.

a) Calculate the total weight of sugar and potatoes.

Once she has loaded the potatoes and sugar into her van

the total weight of the van and its load is 3240.8 Kg

b) What is the weight of the empty van?

6. Round these numbers to 1 decimal place.

a) 2.43 b) 11.37

c) 13.291 d) 14.96

S1 Extension– Revision

Decimals

1. Write these numbers in order, highest to lowest.

10.47 10.4 10.35 10.41 10.5 10.318

2. Identify the numbers the arrows are pointing to

3. Calculate the mid point between these numbers:

a) 12.56 and 12.6

b) 1.0.3 and 10.6

4. Calculate the answer to these, without using a

calculator.

(Set out a – d properly)

a) 12.394 + 275.8 b) 314.2 – 25.37

c) 23.47 X 6 d) 89 ÷ 5 (no remainder!)

e) 23.47 X 100 f) 3.6 X 1000

g) 136.8 ÷ 100 h) 1348 ÷ 1000

4.6 A B C

3.45 3.46 D E F

4.7

5. For each of the following questions, write the correct

calculations and work out the answer.

Still no calculator allowed!

a) Tina the tea lady is pouring out cups of tea

(strangely enough!)

Each cup holds 0.45 Litres.

She has poured out 40 cups.

She then finds out that she has still to

pour out another 30 cups.

The tea urn held 30 Litres.

To make sure Tina does not run out of water,

how much water should she pour into each of

the last 30 cups?

b) Tony the teacher is ordering equipment

for his classroom.

Price list is below. (Per Item)

Pencils £0.18

Rubbers £0.34

Rulers £0.45

Jotters £1.19

Books £8

Tony buys 10 pencils, 10 rubbers, 10 rulers and 100

jotters.

He has £200 and decides to spend what is left on

books.

How many books will he be able to afford?

6. Round these numbers to required degree of accuracy

a) 4.37182516 (1 d.p.) b) 3.999999 (1 d.p.)

c) 24.4618520 (2 d.p.) d) 31.2964012 (2 d.p.)

1. 10.74 , 10.7 , 10.62 , 10.5

2. A - 5.5 B - 5.9 C – 18.4

3. a) 4.5 b) 31.5

4. a) 14.9 b) 93.3 c) 16.2

d) 21.6 e) 23 f) 281

g) 3.4 h) 3.16

5. a) £5.29 b) 2.4Kg

6. a) 8 b) 4 c) 20

Core

1. 10.4 , 10.34 , 10.25 , 10.2 , 10.18

2. A – 7.1 , B – 7.6 , C – 6.9

D – 4.31 , E – 4.66 , 4.59

3. a) 3.65 b) 2.52

4. a) 26.25 b) 56.63 c) 131.2

d) 18.6 e) 348 f) 2160

g) 8.7 h) 3.48

5. a) £4.30 b) 5 bags.

6. a) 400.4Kg b) 2840.4Kg

7. a) 2.4 b) 11.4 c) 13.3 d) 15.0

1. 10.5, 10.47, 10.41, 10.4, 10.35, 10.318

2. A – 4.61 B – 4.66 C – 4.59

D – 3.451 E – 3.456 F – 3.449

3. a) 12.58 b) 10.45

4. a) 288.194 b) 288.83

c) 140.82 d) 17.8

e) 2347 f) 3600

g) 1.368 h) 1.348

5. a) 40 cups: 18L

Amount left: 12L

Each Cup: 0.4L

b) Total Cost: £128.70

Amount Left: £71.30

No. of Books: 8

6. a) 4.4 b) 4.0 c) 24.46 d) 31.30