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Year 6 Revision - Level 3

This is a level 3 revision exercise to help prepare for Year 6/end of Key Stage 2 tests.

'Year 6 Revision - Level 3' worksheet

Key stage:  KS 2

Curriculum topic:   Revision

Curriculum subtopic:   Year 6 Revision

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

 

In this worksheet, you will find 40 questions that include many of the level 3 topics that you have learned this year.

Work through the questions carefully.

Calculators may not be used.

Good luck!

Write this number using figures:

 

Nine million, three hundred and four thousand and sixty-two

Which of these numbers lie between:

 

forty thousand and  four hundred thousand?

4 404

44 404

24 404

404 404

204 404

When you double the number 156 000, which digit will be in the hundred thousands place?

Round to the nearest ten thousand:

 

3 456 011

Decide whether each number is prime or square or neither.

 primesquareneither
2
5
9
17
25
49
51
61
67
87

In your head, work out:

 

61 - 46 - 12 + 120

Subtract:

 

53 653 - 21 974

 

(Use a piece of paper, and set the numbers out in a column subtraction.)

Use long multiplication to work out:

 

9686 × 79

Write down the lowest common multiple of 3, 12 and 15.

Use long division to work out:

 

3396 ÷ 16

 

(If the answer has a remainder, write it like this...   321 r5)

Work out:

 

1324 → + 9× 3- 9÷ 2 → ?

Select all the alternative ways to carry out the following calculation without using the '5' key on your calculator.

 

28 ÷ 15

28 ÷ (14 + 1)

28 ÷ 14 + 1

56 ÷ 30

112 ÷ 60

28 - 15

Work out:

 

25 + 30 ÷ 5 - 2

Match the fractions to their equivalent decimals.

 

A B C D E
23/4  31/2  32/5  375/100  27/10 

Column A

Column B

A
2.7
B
3.4
C
2.75
D
3.75
E
3.5

Match the percentages to their equivalent decimals.

Column A

Column B

7%
0.007
70%
7
700%
0.77
0.7%
0.777
7.7%
0.077
77.7%
0.07
77%
0.7

Work out a quarter of:

 

0.69

Work out:

 

22.603 + 5.79 - 4.455

Work out:

 

5.69 × 12

Work out:

 

18 ÷ 8

 

(Give your answer as a decimal.)

Put the amounts shown in order of size, from the smallest to the largest.

Column A

Column B

1 (smallest)
25% of 164
2
10% of 420
3
43% of 100
4
20% of 200
5 (largest)
15% of 300

Place these fractions in ascending order of size.

 

5   4   11
6 5 15

Column A

Column B

1 (smallest)
11/15
2
5/6
3 (largest)
4/5

Work out the following, remembering to reduce the answer to its lowest terms if possible, e.g. 7/10.

 

5  +  4  -  6
6 5 8

Work out the following, remembering to reduce the answer to its lowest terms if possible:

 

5  ×  4  ÷  1
9 5 18

A camera normally costs £225.

How much will it cost in pounds in a 15% sale?

 

(Just write the number.)

Betty makes a scale drawing of a supermarket.

She uses a scale of 1:500.

 

The actual length of the supermarket is 22 m.

How long should she make this length, in cm, on her drawing?

 

(Just write the number.)

I think of a number.

I multiply it by 12 and add 12.

Then I take away a quarter of the original number.

I get 106.

 

Write this using algebra.

Use n for the number I think of.

12n - 12¼n = 106

12n + 12 - ¼n = 106

12n - 12 + ¼n = n

12n + 12 - ¼n = 106n

7a + 2b = -5

 

Which of these solutions satisfy the equation?

Tick all the solutions that fit.

a = -3, b = 8

a = -8, b = 25

a = -5, b = 15

a = 3, b = -13

a = 8, b = -25

5a - 2 = 128

 

Work out the value of a.

The diagrams show a cuboid and a cube.

 

What is the difference in their volumes in cm3?

(Just write the number.)

 

My bedroom has 2 windows.

 

The height of each window is 145 cm.

The width of each window is 435 mm.

 

What is the total of the perimeters of the two windows in m?

 

(Just write the number.)

Look at the angles shown in the diagram below.

 

Work out the size of angle b.

Use this to write down the size of angle d.

 

Do not write down the size of angle b.

 

(Just write the number.)

 

Here is the net of a cuboid.

 

The squares have dimensions 5 cm by 5 cm.

The rectangles have dimensions 5 cm by 16 cm.

 

What is the volume of the cuboid in cm3?

(Just write the number.)

 

The coordinates of three points of a square are:

(3, -1) , (3, -5) and (5, -3)

 

What are the coordinates of the missing corner?

(Write them using brackets and a comma.)

On paper, draw a set of axes numbered every centimetre from -5 to +5.

Follow these instructions to plot points and draw lines.

 

Join (3, -3) to (5, 2).

Join (5, 2) to (5, -3).

Join (5, -3) to (3, -3).

 

What is the area of the shape formed in cm2?

(Just write the number.)

Look at the triangles on this coordinate grid.

 

On which triangle does Triangle A land when it is:

reflected in the y-axis

and then

translated 6 units to the left and 4 down ?

Work out the mean, mode, median and range of the following set of numbers:

 

3,  3,  4,  5,  3,  6,  5,  6

 answers
mean
mode
median
range

Five numbers have a mean of 4.4.

 

Four of the numbers are given below.

 

3.2,  3.25,  4.5,  4.3

 

What is the missing number?

This pie chart shows the results of a survey on favourite crisp flavours.  

26 people chose Prawn Cocktail.

How many chose Cheese and Onion?

 

Look at this line graph, which shows the height of a tomato seedling, measured each day.

How many metres did the plant grow between day 7 and day 10?

(Just write the number.)

 

Jack and Jill make 150 sandwiches for a school trip.

They are all either egg or ham.

Some of them have salad with the egg or ham.

 

They make:

50 egg sandwiches with salad.

35 ham sandwiches without salad.

95 sandwiches with salad.

 

How many egg sandwiches were made?

  • Question 1

Write this number using figures:

 

Nine million, three hundred and four thousand and sixty-two

CORRECT ANSWER
9304062
9 304 062
EDDIE SAYS
Nine million is 9 000 000.
Nine million, three hundred and four thousand would be 9 304 000.
There are no hundreds.
Then we need 62 in the tens and units columns.
  • Question 2

Which of these numbers lie between:

 

forty thousand and  four hundred thousand?

CORRECT ANSWER
44 404
204 404
EDDIE SAYS
4 404 < 40 000
24 404 < 40 000
404 404 > 400 000
  • Question 3

When you double the number 156 000, which digit will be in the hundred thousands place?

CORRECT ANSWER
3
EDDIE SAYS
156 000 × 2 = 312 000
  • Question 4

Round to the nearest ten thousand:

 

3 456 011

CORRECT ANSWER
3460000
3 460 000
EDDIE SAYS
3 456 011 is between 3 450 000 and 3 460 000
but closer to 3 460 000 because of the 6 in the thousands place.
  • Question 5

Decide whether each number is prime or square or neither.

CORRECT ANSWER
 primesquareneither
2
5
9
17
25
49
51
61
67
87
EDDIE SAYS
Prime numbers have exactly two factors, the number itself and 1.
Square numbers are, for example, 49 = 7 × 7.
51 = 3 × 17 and 87 = 3 × 29, so they are not prime.
  • Question 6

In your head, work out:

 

61 - 46 - 12 + 120

CORRECT ANSWER
123
EDDIE SAYS
46 + 12 = 58
61 + 120 = 181
To take away 58, subtract 60 and add back 2.
181 - 60 = 121
121 + 2 = 123
  • Question 7

Subtract:

 

53 653 - 21 974

 

(Use a piece of paper, and set the numbers out in a column subtraction.)

CORRECT ANSWER
31679
31 679
EDDIE SAYS
  • Question 8

Use long multiplication to work out:

 

9686 × 79

CORRECT ANSWER
765194
765 194
EDDIE SAYS
9686 × 9 = 87 174
9686 × 70 = 678 020
Add to get 765 194.
  • Question 9

Write down the lowest common multiple of 3, 12 and 15.

CORRECT ANSWER
60
EDDIE SAYS
Multiples of 15 are 15, 30, 45, 60...
60 is the smallest of these, which is also a multiple of 3 and 12.
  • Question 10

Use long division to work out:

 

3396 ÷ 16

 

(If the answer has a remainder, write it like this...   321 r5)

CORRECT ANSWER
212 r4
212r4
EDDIE SAYS

  • Question 11

Work out:

 

1324 → + 9× 3- 9÷ 2 → ?

CORRECT ANSWER
1995
EDDIE SAYS
1324 → 1333 → 3999 → 3990 → 1995
  • Question 12

Select all the alternative ways to carry out the following calculation without using the '5' key on your calculator.

 

28 ÷ 15

CORRECT ANSWER
28 ÷ (14 + 1)
112 ÷ 60
EDDIE SAYS
(14 + 1) in brackets is the same as 15.
Doubling both numbers has no effect on the final answer. The calculation 56 ÷ 30 still uses the '5' key, but if you double this you get 112 ÷ 60.
  • Question 13

Work out:

 

25 + 30 ÷ 5 - 2

CORRECT ANSWER
29
EDDIE SAYS
Division takes priority over addition or subtraction.
30 ÷ 5 = 6
So this reads 25 + 6 - 2 = 29.
  • Question 14

Match the fractions to their equivalent decimals.

 

A B C D E
23/4  31/2  32/5  375/100  27/10 
CORRECT ANSWER

Column A

Column B

A
2.75
B
3.5
C
3.4
D
3.75
E
2.7
EDDIE SAYS
0.75 is 3/4 or 75/100.
1/2 is 0.5.
2/5 is 4/10 which is 0.4.
7/10 is 0.7.
  • Question 15

Match the percentages to their equivalent decimals.

CORRECT ANSWER

Column A

Column B

7%
0.07
70%
0.7
700%
7
0.7%
0.007
7.7%
0.077
77.7%
0.777
77%
0.77
EDDIE SAYS
7% = 7 ÷ 100 = 0.07
70% = 70 ÷ 100 = 0.70 = 0.7
700% = 700 ÷ 100 = 7
0.7% = 0.7 ÷ 100 = 0.007
7.7% = 7.7 ÷ 100 = 0.077
77.7% = 77.7 ÷ 100 = 0.777
77% = 77 ÷ 100 = 0.77
  • Question 16

Work out a quarter of:

 

0.69

CORRECT ANSWER
0.1725
EDDIE SAYS
69 ÷ 2 = 34.5
34.5 ÷ 2 = 17.25
So 69 ÷ 4 = 17.25
0.69 ÷ 4 = 0.1725
  • Question 17

Work out:

 

22.603 + 5.79 - 4.455

CORRECT ANSWER
23.938
EDDIE SAYS
22.603 + 5.79 = 28.393
28.393 - 4.455 = 23.938
  • Question 18

Work out:

 

5.69 × 12

CORRECT ANSWER
68.28
EDDIE SAYS
569 × 12 = 6828
5.69 × 12 = 68.28
  • Question 19

Work out:

 

18 ÷ 8

 

(Give your answer as a decimal.)

CORRECT ANSWER
2.25
EDDIE SAYS

  • Question 20

Put the amounts shown in order of size, from the smallest to the largest.

CORRECT ANSWER

Column A

Column B

1 (smallest)
20% of 200
2
25% of 164
3
10% of 420
4
43% of 100
5 (largest)
15% of 300
EDDIE SAYS
20% of 200 = 40
25% of 164 = 41
10% of 420 = 42
43% of 100 = 43
15% of 300 = 45
  • Question 21

Place these fractions in ascending order of size.

 

5   4   11
6 5 15
CORRECT ANSWER

Column A

Column B

1 (smallest)
11/15
2
4/5
3 (largest)
5/6
EDDIE SAYS
The lowest common multiple of 6, 5 and 15 is 30.
The fractions change to 25/30, 24/30 and 22/30.
  • Question 22

Work out the following, remembering to reduce the answer to its lowest terms if possible, e.g. 7/10.

 

5  +  4  -  6
6 5 8
CORRECT ANSWER
53/60
EDDIE SAYS
Change to 120ths.
100/120 + 96/120 - 90/120 = 106/120
Then reduce by halving top and bottom.
  • Question 23

Work out the following, remembering to reduce the answer to its lowest terms if possible:

 

5  ×  4  ÷  1
9 5 18
CORRECT ANSWER
8
EDDIE SAYS
Turn 1/18 upside down.
Reduce the 5s.
Reduce the 18 and 9.
Multiply the tops and multiply the bottoms, giving 8/1.
  • Question 24

A camera normally costs £225.

How much will it cost in pounds in a 15% sale?

 

(Just write the number.)

CORRECT ANSWER
191.25
EDDIE SAYS
10% of 225 = 22.50
5% of 225 = 11.25
15% of 225 = 22.50 + 11.25 = 33.75
Work out 225 - 33.75.
  • Question 25

Betty makes a scale drawing of a supermarket.

She uses a scale of 1:500.

 

The actual length of the supermarket is 22 m.

How long should she make this length, in cm, on her drawing?

 

(Just write the number.)

CORRECT ANSWER
4.4
EDDIE SAYS
1:500 is the same as 1 cm to 500 cm = 1 cm to 5 m.
22 ÷ 5 = 4.4
4.4 cm on the drawing is really 4.4 × 5 = 22 m.
  • Question 26

I think of a number.

I multiply it by 12 and add 12.

Then I take away a quarter of the original number.

I get 106.

 

Write this using algebra.

Use n for the number I think of.

CORRECT ANSWER
12n + 12 - ¼n = 106
EDDIE SAYS
12 times n and add 12, then take away ¼n to get 106.
  • Question 27

7a + 2b = -5

 

Which of these solutions satisfy the equation?

Tick all the solutions that fit.

CORRECT ANSWER
a = -3, b = 8
a = -5, b = 15
a = 3, b = -13
EDDIE SAYS
7 × -3 + 2 × 8 = -21 + 16 = -5
7 × -8 + 2 × 25 = -56 + 50 = -6
7 × -5 + 2 × 15 = -35 + 30 = -5
7 × 3 + 2 × -13 = 21 + -26 = -5
7 × 8 + 2 × -25 = 56 - 50 = 6
  • Question 28

5a - 2 = 128

 

Work out the value of a.

CORRECT ANSWER
26
EDDIE SAYS
5a - 2 = 128
5a = 128 + 2 = 130
a = 130 ÷ 5 = 26
  • Question 29

The diagrams show a cuboid and a cube.

 

What is the difference in their volumes in cm3?

(Just write the number.)

 

CORRECT ANSWER
891
EDDIE SAYS
Volume of cuboid = 9 × 9 × 20 = 1620 cm3
Volume of cube = 9 × 9 × 9 = 729 cm3
Difference = 1620 - 729 = 891 cm3
  • Question 30

My bedroom has 2 windows.

 

The height of each window is 145 cm.

The width of each window is 435 mm.

 

What is the total of the perimeters of the two windows in m?

 

(Just write the number.)

CORRECT ANSWER
7.54
7.540
EDDIE SAYS
1450 mm × 2 + 435 mm × 2 = 2900 mm + 870 mm = 3770 mm
3770 mm × 2 = 7540 mm
7540 ÷ 1000 = 7.54 m
  • Question 31

Look at the angles shown in the diagram below.

 

Work out the size of angle b.

Use this to write down the size of angle d.

 

Do not write down the size of angle b.

 

(Just write the number.)

 

CORRECT ANSWER
62
EDDIE SAYS
Angle b = 180 - 107 = 73°
Angles in a triangle add to 180°.
d = 180 - 73 - 45 = 180 - 117 = 62°
  • Question 32

Here is the net of a cuboid.

 

The squares have dimensions 5 cm by 5 cm.

The rectangles have dimensions 5 cm by 16 cm.

 

What is the volume of the cuboid in cm3?

(Just write the number.)

 

CORRECT ANSWER
400
EDDIE SAYS
Dimensions of cuboid will be 5 cm by 5 cm by 16 cm.
Volume = 5 × 5 × 16 = 5 × 80 = 400 cm3
  • Question 33

The coordinates of three points of a square are:

(3, -1) , (3, -5) and (5, -3)

 

What are the coordinates of the missing corner?

(Write them using brackets and a comma.)

CORRECT ANSWER
(1, -3)
(1,-3)
EDDIE SAYS

Still a square even though it has been turned.
  • Question 34

On paper, draw a set of axes numbered every centimetre from -5 to +5.

Follow these instructions to plot points and draw lines.

 

Join (3, -3) to (5, 2).

Join (5, 2) to (5, -3).

Join (5, -3) to (3, -3).

 

What is the area of the shape formed in cm2?

(Just write the number.)

CORRECT ANSWER
5
EDDIE SAYS


Base = 2 cm and Height = 5 cm
Area = 2 × 5 ÷ 2 = 5 cm2
  • Question 35

Look at the triangles on this coordinate grid.

 

On which triangle does Triangle A land when it is:

reflected in the y-axis

and then

translated 6 units to the left and 4 down ?

CORRECT ANSWER
G
EDDIE SAYS
After a reflection in the y-axis, A lands on D.
After the translation, D lands on G.
  • Question 36

Work out the mean, mode, median and range of the following set of numbers:

 

3,  3,  4,  5,  3,  6,  5,  6

CORRECT ANSWER
 answers
mean
mode
median
range
EDDIE SAYS
Total = 35
Mean = 35 ÷ 8 = 4.375
Mode = 3 because it occurs most often
Median = mean of the middle values 4 and 5
Range = largest - smallest = 6 - 3 = 3
  • Question 37

Five numbers have a mean of 4.4.

 

Four of the numbers are given below.

 

3.2,  3.25,  4.5,  4.3

 

What is the missing number?

CORRECT ANSWER
6.75
EDDIE SAYS
Total = 5 × 4.4 = 22
Total so far = 3.2 + 3.25 + 4.5 + 4.3 = 15.25
Missing number = 22 - 15.25 = 6.75
  • Question 38

This pie chart shows the results of a survey on favourite crisp flavours.  

26 people chose Prawn Cocktail.

How many chose Cheese and Onion?

 

CORRECT ANSWER
104
EDDIE SAYS
180 ÷ 45 = 4, which means that the Cheese and Onion Group is 4 times bigger than the Prawn Cocktail Group.
26 × 4 = 104
  • Question 39

Look at this line graph, which shows the height of a tomato seedling, measured each day.

How many metres did the plant grow between day 7 and day 10?

(Just write the number.)

 

CORRECT ANSWER
0.029
EDDIE SAYS
At day 7, the height was 0.7 cm = 7 mm.
At day 10, the height was 3.6 cm = 36 mm.
36 - 7 = 29 mm = 0.029 m
  • Question 40

Jack and Jill make 150 sandwiches for a school trip.

They are all either egg or ham.

Some of them have salad with the egg or ham.

 

They make:

50 egg sandwiches with salad.

35 ham sandwiches without salad.

95 sandwiches with salad.

 

How many egg sandwiches were made?

CORRECT ANSWER
70
EDDIE SAYS

Use a table to fill in the numbers, remembering that 150 sandwiches are made in total.

  Salad No Salad
Egg 50 55 - 35 = 20
Ham 95 - 50 = 45 35
Total 95 150 - 95 = 55
---- OR ----

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