Tadworth Primary School 1
1. A fraction of each shape is shaded.
Match each fraction to the correct place on the number line.
One has been done for you.
0 1
1 mark
2. Two of the fractions below are equivalent.
Circle them.
3
2
10
6
12
9
15
10
20
16
1 mark
3. Stefan has a bag that contains 3 blue marbles and 5 red marbles only.
Tadworth Primary School 2
What fraction of the marbles in the bag are blue?
1 mark
Stefan adds one blue marble and one red marble to the bag.
What fraction of the marbles in the bag are blue now?
1 mark
4. Here is a grid of 20 squares.
What percentage of the grid is shaded?
%
1 mark
Tadworth Primary School 3
5. 3
1 of this square is shaded.
1
The same square is used in the diagrams below.
What fraction of this diagram is shaded?
1 mark
What fraction of this diagram is shaded?
1 mark
Tadworth Primary School 4
6.
Emily makes 250 grams of a snack mixture.
15% of the weight is raisins, 25% is banana chips and the rest is peanuts.
How many grams of peanuts does she use?
Show
your .working
You may get
a mark.
g
2 marks
Tadworth Primary School 5
7. Shade 5
1 of this shape.
1 mark
8. Part of this number line is shaded.
0 1 2
Circle all the numbers below that belong in the shaded part of the number line.
1.1 1.4 13
1
15
1
1 mark
Tadworth Primary School 6
9. Here are five diagrams.
Look at each one.
Put a tick ( ) on the diagram if exactly 2
1 of it is shaded.
Put a cross ( ) if it is not.
2 marks
Tadworth Primary School 7
10. Hassan scores 40 out of 80 in a test.
Kate scores 40% in the same test.
Who has the higher score?
Circle Hassan or Kate.
Hassan / Kate
Explain how you know.
1 mark
11. The diagram shows three regular octagons joined together.
There is a dot at the centre of each octagon.
Tadworth Primary School 8
What fraction of the diagram is shaded?
1 mark
12. Match each decimal number to its equivalent fraction.
One has been done for you.
0.25
0.4
0.75
0.2
34
210
14
25
1 mark
Tadworth Primary School 9
13. Calculate 4
3 of £15
£
1 mark
14. Here is a pattern on a grid.
What percentage of the grid is shaded?
%
1 mark
Tadworth Primary School 10
§ x15. The diagram is made of squares.
What fraction of the diagram is shaded?
1 mark
16. Write these fractions in order of size starting with the smallest.
4
3
5
3
10
9
20
17
smallest 1 mark
Tadworth Primary School 11
17. Write in the missing numbers.3
30% of 60 is
1 mark
30% of is 60
1 mark
18. Here is a square.
What fraction of the square is shaded?
1 mark
Tadworth Primary School 12
19. Calculate 5% of £3600
£
1 mark
20. Here is part of a number line.
Write in the two missing numbers.
2 2 14
2 marks
21.
Tom and Nadia have 16 cards each.
Tom gives Nadia 12 of his cards.
Tadworth Primary School 13
How many cards do Tom and Nadia each have now?
Tom Nadia
1 mark
Lucy also has 16 cards.
She gives a quarter of her cards to Kiran.
How many cards does Lucy give to Kiran?
1 mark
22. Three-quarters of a number is 48
What is the number?
1 mark
Tadworth Primary School 14
23. Karen makes a fraction using two number cards. ??
She says,
‘My fraction is equivalent to 2
1
One of the number cards is 6’
What could Karen’s fraction be?
Give both possible answers.
or
2 marks
24. Calculate 83 of 980
1 mark
Tadworth Primary School 15
25. This diagram shows four regular hexagons.
Shade in one third of the diagram.
1 mark
Tadworth Primary School 16
26.
250 000 people visited a theme park in one year.
15% of the people visited in April and
40% of the people visited in August.
How many people visited the park in the rest of the year?
Showyour You may geta mark.
method.
2 marks
Tadworth Primary School 17
27. Shade 4
1 of this shape.
1 mark
28. Circle the two fractions that have the same value.
102
31
21
105
41
1 mark
29. Draw an arrow ( ) on the number line to show 431
1 mark
Tadworth Primary School 18
30. Circle the two fractions that are greater than 21
81
106
85
103
1 mark
31. Meg has 20 pet stickers to go on this page.
41 of them are dog stickers.
21 of them are cat stickers.
The rest are rabbit stickers.
How many rabbit stickers does she have?
stickers
1 mark
Tadworth Primary School 19
32. Match each box to the number which has the same value.
One has been done for you.
1 mark
33. Write the two missing numbers in this sequence.
143
21
41
211 2
1 mark
Tadworth Primary School 20
34. Here is a chocolate bar.
William eats 3 pieces and Amber eats 2 pieces.
What fraction of the chocolate bar remains?
1 mark
35. Calculate 51 of 325
1 mark
36. Circle the two fractions that are equivalent to 0.6
61
10060
601
106
1 mark
Tadworth Primary School 21
37. Tick ( ) two cards that give a total of 5
114
312
112
334
134
414
1 mark
38. Which is larger, 3
1 or
5
2?
Explain how you know.
...............................................................................................................................
...............................................................................................................................
............................................................................................................................... 1 mark
Tadworth Primary School 22
39. There are 24 coloured cubes in a box.
Three-quarters of the cubes are red,
four of the cubes are blue
and the rest are green.
How many green cubes are in the box?
Showyour You may geta mark.
method.
2 marks
One more blue cube is put into the box.
What fraction of the cubes in the box are blue now?
1 mark
Tadworth Primary School 23
40. 150 people take part in a walk.
This chart shows the number of people still walking at different times.
150
140
130
120
110
100
90
80
70
60
50
40
30
20
10
0
Numberof walkers
9 am 10 am 11 am 12 pm 1 pm 2 pm 3 pm
Time
Use the chart to estimate the time when two-thirds of the people are still on the walk.
1 mark
Tadworth Primary School 24
What percentage of the people who started are still on the walk at 3pm?
Showyour You may geta mark.
method.
%
2 marks
41.
In Class 6, 80% of the children like crisps.
75% of the children who like crisps also like chocolate.
Tadworth Primary School 25
In Class 6, what percentage of the children like both crisps and chocolate?
Showyour You may geta mark.
method.
%
2 marks
42. Lili and Julian each start with the same number.
Lili works out half of the number.
Julian works out three-quarters of the number.
The sum of their answers is 275
What was the number they started with?
Showyour You may geta mark.
method.
2 marks
Tadworth Primary School 26
43. Put a tick ( ) in each row to complete this table.
One has been done for you.
greater than 2
1 less than
2
1
0.9
0.06
20
11
0.21
2 marks
44. Complete these fractions to make each equivalent to 53
10 15
12
1 mark
Tadworth Primary School 27
45.
This chart shows the amount of money spent in a toy shop in three months.
0 £10 000 £20 000 £30 000
October
November
December
How much more money was spent in the shop in December than in November?
£
1 mark
Tadworth Primary School 28
Stepan says,
‘In November there was a 100% increase on the money spent in October’.
Is he correct?
Circle Yes or No. Yes / No
Explain how you can tell from the chart.
...............................................................................................................................
...............................................................................................................................
............................................................................................................................... 1 mark
46. Calculate 15% of 460
1 mark
Tadworth Primary School 29
47. Shade one third of this shape.
1 mark
Shade one quarter of this shape.
1 mark
Tadworth Primary School 30
48. Match each box to the correct number.
One has been done for you.
12
13
15
of
of
of
30
75
150
45
40
35
30
25
20
15 1 mark
49. Here is a recipe for raspberry ice cream.
rasberry ice creamfor 8 people
1kg rasberries
250g sugar
12litre of cream
This recipe is for 8 people.
Tadworth Primary School 31
Josie makes enough raspberry ice cream for 12 people.
How much cream does she use?
litre
1 mark
Fred makes raspberry ice cream in the same way.
He uses 2½ kg of raspberries.
How much sugar does he use?
Showyour You may geta mark.
method.
g
2 marks
50. Calculate of 125
of 378
1 mark
Tadworth Primary School 32
51.
The population of the world is approximately 6200 million people.
It is increasing by approximately 93 million people each year.
Use this information to calculate the percentage increase in the population over a year.
Showyour You may geta mark.
method.
%
2 marks
Tadworth Primary School 33
Mike says,
‘An increase of 93 million people each year is more than 170 people each minute’ .
Show that he is correct.
2 marks
52. Calculate 43
of 840
1 mark
53. Calculate 60% of 765.
1 mark
Tadworth Primary School 34
54. Chloe and Denise each bought identical T-shirts from the same shop.
Chloe bought hers on Monday when there was 15% off the original price.
Denise bought hers on Friday when there was 20% off the original price.
Chloe paid 35p more then Denise.
What was the original price of the T-shirt?
Showyour You may geta mark.
method.
£
2 marks
Tadworth Primary School 35
55. What fraction is exactly half-way between 5
3 and
7
5?
1 mark
56.
This pie chart shows the lunch choices of year 6 children at a school.
School meal35%
Bringsandwiches
40%
Go home25%
Tadworth Primary School 36
28 children in year 6 have a school meal.
How many go home for lunch?
Showyour You may geta mark.
method.
2 marks
57. Calculate 78 of 5000
1 mark
58. Write two fractions, each greater than 0 and less than 1, which have a
difference of 4
3
1 mark
Tadworth Primary School 37
59. The diagram shows a shaded triangle inside a larger triangle.
The area of the shaded triangle is 52 cm2.
The area of the shaded triangle is 9
4 of the area of the larger triangle.
Calculate the area of the larger triangle.
cm
Showyour .You may geta mark.
method
2 marks
Tadworth Primary School 38
60. Two of the ingredients of chocolate are cocoa and sugar.
In milk chocolate,
20% of the mass is cocoa, 55% is sugar.
A bar of milk chocolate contains 50 grams of cocoa.
How many grams of sugar does it contain?
cm
Showyour .You may geta mark.
method
2 marks
Tadworth Primary School 39
61. 511 = 0.454545 ...
Find a fraction that is equal in value to
0.0454545 ...
1 mark
62. Jack ate half the cherries on the plate.
These are the cherries that were left.
How many cherries were on Jack’s plate before he ate half of them?
cherries
1 mark
Tadworth Primary School 40
63. John had £5
He gave 25% of it to charity.
How much did he give?
£
1 mark
64. Shade more rectangles so that exactly half of the shape is shaded.
1 mark
Tadworth Primary School 41
65. Draw a line to join each fraction to a percentage of the same value.
14
110
12
10%
50%
25%
4%
1 mark
Tadworth Primary School 42
66. Here are 21 apples.
Put a ring around one third of them.
1 mark
Tadworth Primary School 43
67. Tick ( ) the two shapes that have three-quarters shaded.
1 mark
Tadworth Primary School 44
68. Tick each of the cards that shows more than a half.
68
36
34
70%
37% 0.34
0.55
1 mark
69. 83
of a class are boys.
What fraction of the class are girls? 1 mark
70. What fraction of these tiles are circled?
1 mark
Tadworth Primary School 45
71. A larger bottle of juice will hold 30% more than this bottle.
How much will the larger bottle hold?
ml
1 mark
