Level 1 revision

• Mathematics
• Lower Secondary (Key Stage 3)

Essential skills

Level 1 revision

Fractions

Introduction

Fractions are parts out of a whole. The whole or total amount is always the

bottom of the fraction. The part you are interested in is the top of the fraction.

The line represents a division.

To find fraction parts

÷ by the bottom of the fraction × by the top of the fraction 

Did you know 

You can multiply 

by the to first 

and then divide by the

bottom and still get

the same answer

Simplifying Fractions  This means writing the fraction in its lowest terms. To do this you need to divide

both top and bottom of the fraction by the same number to make them smaller. 

1/2 is the same as...

1. 50%
2. 20%
3. 2%
4. 5%

To find 1/4 of an amount....

1. divide by 2
2. divide by 4
3. divide by .5
4. divide by .4

What is 1/4 of 5600?

1. 1400
2. 2800
3. 1600
4. 1800

Look out for the words of and off

You may be asked to take a fraction off an amount.

There is 1/4 off the price of a DVD that costs £20. What does it cost now?

First find 1/4 as we did above but then take the 1/4 off using subtraction.

20 ÷ 4 = 5     5 × 1 = 5 This is 1/4 but we need to take this off the original price.20 – 5 = 15 so the new price is £15.

You may also need to use this technique if you see words such as

reduced by, discount, saving

10 out of 30 students were under 18. Express this amount as a fraction in its simplest form

1. 10/30
2. 1/3
3. 18/30
4. 3/10

If a third (1/3) of students were under 18, what fraction were over 18?

1. 1/3
2. 2/3
3. 18/30
4. 3/3

40 out of 120 students are vegetarian. Express this as a fraction in its simplest form.

1. 4/12
2. 40/120
3. 2/6
4. 1/3

2 out of 14 students are vegetarian. What is the likelihood/probability of a student being vegetarian?

1. impossible
2. likely
3. unlikely
4. even chance

What is range?

1. Total divided by number of items.
2. Highest take away lowest.
3. A shop in Ballymena
4. a list of items

What calculation is needed for volume?

1. l + w + h
2. l x w x h
3. 2l+2b
4. hx4

The volume of a cuboid measuring 30cm by 20cm by 15cm is...

1. 9000cm
2. 9000cm3
3. 65cm3
4. 65cm

Write 13:35 in the 12-hour clock.

1. 1.35
2. 1.35pm
3. half 1
4. 20 to 2

Write 4.55pm in the 24-hour clock.

1. 16:55
2. 14:55
3. 5 - 2 -5
4. 5 past 4

Write 2.05pm in the 24-hour clock.

1. 02:05
2. 14:05
3. 20;05
4. 14:5

Mean is...

1. Total divided by number of items
2. Highest take away lowest
3. middle number
4. being cross

Check this calculation:
8/25= 0.32

1. 0.32 x 25 = 8
2. 8/.32 = 25
3. .32 x 8 = 25
4. 32/.8 =25

If you have a total and need to work out one/per or each of something, what calculation is needed?

1. add
2. subtract
3. multiply
4. divide

Which is heavier?

1. 3.3kg
2. 3.251kg
3. .3333kg
4. 33333g

Which is greater?

1. 8.9
2. 8.891
3. .98
4. 9

What is 3500g in kg?

1. 35kg
2. 3.5kg
3. 350kg
4. .35kg