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Worksheets

Maths Year 6

Total questions: 64

Worksheet time: 3hrs 12mins

Name
Class
Date
1.

Think about the number 34,567,800

Say this number aloud.

Round this number to the nearest million

a)

34,600,000

b)

34,000,000

c)

35,000,000

d)

30,000,000

e)

I don't know yet

2.

Think about the number 34,567,800

What does the digit ‘8’ represent?

a)

800

b)

80

c)

8000

d)

8

e)

I don't know yet

3.

Think about the number 34,567,800

What does the digit ‘7’ represent?

a)

700

b)

70

c)

7000

d)

7

e)

I don't know yet

4.

Think about the number 34,567,800

Divide this number by 100

(a)  

5.

Think about the number 34,567,800

Divide this number by 1000

(a)  

6.

Put these numbers in order, from smallest to largest.

a)

3.03

b)

3·033

c)

3·3

d)

3·303

e)

3·33

1)
2)
3)
4)
5)
7.

Put these numbers in order, from smallest to largest.

a)

–4.44

b)

–4.404

c)

–4.4

d)

–4·04

1)
2)
3)
4)
8.

Estimate the answer to 4243 + 1734

by rounding the numbers to the nearest 1000

We are not looking for the exact answer

(a)  

9.

Estimate the answer to 4243 + 1734

by rounding the numbers to the nearest 100

We are not looking for the exact answer

(a)  

10.

The population of Shanghai is 21 million, to the nearest million.

Each person weighs on average 70kg.

Estimate the total weight of all the people in Shanghai.

a)

1,470,000,000 kg

b)

147,000,000 kg

c)

14,700,000 kg

d)

14,700,000,000 kg

11.

A scientist measures the depth of some objects below the surface of the sea. She records her measurements using negative numbers.

Which object is deepest?

a)

Coral reef

b)

Shipwreck

c)

Pirate treasure

d)

Sleeping shark

e)

I don't know yet

12.

A scientist measures the depth of some objects below the surface of the sea. She records her measurements using negative numbers.

Is the sleeping shark deeper than the pirate treasure?

a)

Yes

b)

No

c)

They are at the same depth

d)

I don't know yet

13.

A scientist measures the depth of some objects below the surface of the sea. She records her measurements using negative numbers.

A seagull is hovering 1m above the surface of the sea. How far apart are the seagull and the coral reef?

a)

3m

b)

1m

c)

2m

d)

4m

e)

I don't know yet

14.

Calculate 36.2 + 19.8

(a)  

15.

Choose digits to go on the line to make this number sentence true.

14,781 – 6_53 = 8528

(a)  

16.

Choose a digit to go on the line to make this number sentence true.

23·12 + 22·_1 = 45·23

(a)  

17.

Two numbers have a difference of 2·38.

The smaller number is 3·12. What is the bigger number?

(a)  

18.

Choose an operation to go on the empty line to make this number sentence true.

(6 _ 3) _ 7 = 16

a)

+

b)

-

c)

x

d)

/

e)

I don't know yet

19.

Choose an operation to go on the empty line to make this number sentence true.

6 + (3 _ 7) = 27

a)

+

b)

-

c)

x

d)

/

e)

I don't know yet

20.

Put brackets in this number sentence so that it is true.

12 – 2 × 5 = 50

a)

( 12 - 2 ) x 5 = 50

b)

12 - ( 2 x 5 ) = 50

c)

12 - 2 x ( 5 )

d)

12 - 2 x (5 = 50 )

e)

I don't know yet

21.

A shop sells magazines and comics.

Freya buys a magazine and a comic.

She pays £2·50.

Evie buys a magazine and two comics. She pays £3·90.

How much does a comic cost?

a)

£2.50

b)

£1.40

c)

£1.20

d)

£2.40

e)

I don't know yet

22.

A shop sells boxes of chocolates.

One box costs £3·99.

A second box costs £2·60.

A third box costs £6·45.

What is the difference in price between the most and least expensive boxes?

(a)  

23.

x and y represent whole numbers.

Their sum is 1000.

x is 250 more than y.

What is the value of y?

(a)  

24.

736 ÷ 23 =

(a)  

25.

(a)   × 100 = 2400

26.

7360 ÷ 230 = (a)  

27.

25 × (a)   = 200

28.

230 × 24 = (a)  

29.

24 × (a)   = 168

30.

1668 ÷ 8 = (a)  

31.

161 ÷ (a)   = 23

32.

(a)   ÷ 25 = 9

33.

8·4 × 3 + 8·4 × 7

(a)  

34.

All the pupils in a school were asked to choose between an adventure park and the seaside for a school trip.

They voted, and the result was a ratio of 5:3 in favour of the adventure park.

125 children voted in favour of going to the adventure park.

How many children voted in favour of going to the seaside?

(a)  

35.

A box of labels costs £24.

There are 100 sheets in the box.

There are 10 labels on each sheet.

Calculate the cost of one label, in pence.

(a)  

36.

Miriam and Alan each buy 12 tins of tomatoes.

Miriam buys 3 packs each containing 4 tins.

A pack of 4 costs £1·40.

Alan buys 2 packs each containing 6 cans.

A pack of 6 costs £1·90.

Who gets the most change from a £5 note?

a)

Miriam gets the most change

b)

Alan gets the most change

c)

They get the same amount of change

d)

I don't know yet

37.

Only a fraction of each whole rod is shown.

Using the given information, identify which whole rod is longer.

a)

1/9

b)

1/8

c)

I don't know yet

38.

On Monday I ran 1231\frac{2}{3}   km and on Tuesday I ran 2252\frac{2}{5}   km.

How far did I run altogether on these two days?

a)

3 1153\ \frac{1}{15}  

b)

4 1154\ \frac{1}{15}  

c)

3 483\ \frac{4}{8}  

d)

3 453\ \frac{4}{5}  

e)

I don't know yet

39.

On Wednesday I ran 1 231\ \frac{2}{3}   km and my sister ran 2 252\ \frac{2}{5}   km.

How much further did my sister run than I did?

a)

1115\frac{11}{15}  

b)

1 151\ \frac{1}{5}  

c)

1 4151\ \frac{4}{15}  

d)

1 131\ \frac{1}{3}  

e)

I don't know yet

40.

Tom and Sam shared equally one-third of a chocolate bar.

What fraction of the chocolate bar did each child get?

a)

16\frac{1}{6}  

b)

23\frac{2}{3}  

c)

26\frac{2}{6}  

d)

13\frac{1}{3}  

e)

I don't know yet

41.

Last month Kira saved 35\frac{3}{5}   of her £10 pocket money.

She also saved 15% of her £20 birthday money.

How much did she save altogether?

(a)  

42.

Curtis used 13\frac{1}{3}   of a can of paint to cover 3.5 square metres of wall.

How much wall will one whole can of paint cover?

a)

7 square metres

b)

9.5 square metres

c)

10.5 square metres

d)

1.2 square metres

e)

I don't know yet

43.

You can buy 3 pots of banana yoghurt for £2·40.

How much will it cost to buy 12 pots of banana yoghurt?

(a)  

44.

A child’s bus ticket costs £3·70 and an adult bus ticket costs twice as much.

How much does an adult bus ticket cost?

(a)  

45.

To make a sponge cake, I need six times as much flour as I do when I’m making a fairy cake.

If a sponge cake needs 270g of flour, how much does a fairy cake need?

(a)  

46.

Sam has 9 fewer sweets than Sarah.

They have 35 sweets altogether.

How many sweets does Sam have?

(a)  

47.

If I share equally a 3m ribbon between 5 people, how long will each person’s ribbon be?

a)

60 cm

b)

6 m

c)

15 m

d)

150 cm

e)

I don't know yet

48.

In Year 1 there are 50 pupils, of whom 16 are boys.

What percentage of the pupils are girls?

a)

16%

b)

32%

c)

34%

d)

68%

e)

I don't know yet

49.

Sam and Tom share 45 marbles in the ratio 2:3.

How many more marbles does Tom have than Sam?

(a)  

50.

To make a tomato pizza topping for a normal pizza, Jake uses 300g of tomatoes, 120g of onions and 75g of mushrooms.

Jake wants enough sauce for a giant pizza, so he uses 900g of tomatoes.

What mass of onions will be used?

a)

225g

b)

240g

c)

360g

d)

40g

e)

I don't know yet

51.

On New Year’s Eve, Polly has £3·50 in her money box.

On 1 January she puts 30p into her money box.

On 2 January she puts another 30p into her money box.

She continues putting in 30p every day.

How much money is in the box on 10 January?

(a)  

52.

3 × (a)   + 2 = 17

53.

20 – x = 10

(a)  

54.

20 ÷ x = x – 1

x = _

(a)  

55.

n draw the hands showing that the time is 3,600 seconds after 3 p.m.

56.

A train left London at 09:46 am and arrived in Edinburgh later that day.

The clock in Edinburgh station showed this time:

How long did the train journey last?

a)

5 hours and 14 minutes

b)

6 hours and 34 minutes

c)

5 hours and 34 minutes

d)

6 hours and 20 minutes

e)

I don't know yet

57.

Sarah is 0·2m taller than Jack. Ella is 15cm taller than Sarah.

Who is the tallest person?

a)

Sarah

b)

Jack

c)

Ella

d)

I don't know yet

58.

Here is a tiled floor pattern. It is made from squares.

Work out the perimeter of the design. Give your answer in cm.

(a)  

59.

Select which of these right-angled triangles have an area of 20 cm220\ cm^2   ?

a)
b)
c)
d)

None of them

e)

I don't know yet

60.

10 toy bricks have a total mass of 1kg.

A cricket ball weighs 1 121\ \frac{1}{2}   times as much as one brick.

What is the mass of a cricket ball, in grams?

(a)  

61.

Which of these triangles are isosceles? You can select more than one.

a)
b)
c)
d)

None of them are isosceles triangles

e)

I don't know yet

62.

Captain Conjecture says, ‘The diameter of a circle is twice the length of its radius.’ Do you agree?

a)

I agree

b)

I don't agree

c)

I don't know yet

63.

Which of these could be the net of a cube? You can select more than one.

a)
b)
c)
d)

I don't know yet

64.

The pie chart represents the proportions of the four ingredients in a smoothie drink.

The sector representing the amount of strawberries takes up 22% of the pie chart.

The sector representing the amount of apple is twice as big as the sector representing the amount of strawberries. The sectors representing the amount of yoghurt and the amount of banana are identical.

Calculate the percentage of bananas needed to make a smoothie drink.

a)

20%

b)

34%

c)

17%

d)

44%

e)

I don't know yet