MATHEMATICS

KEY STAGE ? 200?

TEST BLEVELS

3-5

PAGE MARKS

5

7

9

11

13

15

TOTAL

BORDERLINE CHECK

17

CALCULATOR ALLOWED

First Name

Last Name

School

Mark

Scheme

Woodfield Middle School

Draw a line from each card to the correct part of the number line.

1 mark

1 mark

1 mark

0

100

200

300

400

500

600

700

One has been done for you.

184 + 473

840 ÷30

18 x 14

906 - 340

= 28

= 566

= 252

Write in the missing numbers.

71 mark

1 mark

1 mark

47 x = 329

- 83 = 201284

283 + = 511228

Tony and Neil buy 3 boxes of hats between them.

Tony pays £16.25

How much must Neil pay?

2 marks

Show your method. You

may get a mark.

A box of four party hats costs £11.40

£2.85How much does each hat cost?1 mark

Total price = 3 x £11.40 = £34.20

£17.95

Neil pays £34.20 - £16.25 =

Lisa thinks of a number.

She says,

4

“Add 5 to my number and then multiply the result by 9. The answer is 81."

What is Lisa’s number?1 mark

271 mark

Jude thinks of a number.

She says, “Double my number and then add 18. The answer is 72."

What is Jude’s number?

81 ÷ 9 = 9 9 – 5 = 4

72 - 18 = 54 54 ÷ 2 = 27

34.03 x = 231.404

Write in the missing number.

6.81 mark

20.75 + 29.28 = 50.03

Write in the missing number.

1 mark

- 48.03 = 79.91

Write in the missing number.

1 mark

127.94

136 people go to a local football match.

They pay £1.65 each.

£224.40

How much ticket money is collected?

1 mark

Programmes cost 16p each.

Selling programmes raises £14.24

How many programmes were sold?

2 marks

Show your method. You

may get a mark.

£14.24 ÷ £0.16 = 89

89

The table shows the cost of train tickets to 3 cities.

1 mark

Hull York Leeds

£11.30 £16.60 £9.10

£21.55 £25.50 £17.25

£7.75 £11.35 £7.85

£12.95 £15.85 £14.00return

single

return

singleAdult

Child

What is the total cost for a return journey to York for two adults and one child?

£66.85

1 mark

How much more does it cost for two adults to make a single journey to Hull than Leeds?

£4.40

£25.50 + £25.50 + £15.85

£22.60 - £18.20

Calculate of 408

2551 mark

58

1891 mark

Calculate of 44137

3121 mark

Calculate of 70249

Use a calculator to work out 82.3 x (3.1 + 7.45)

1 mark

868.265

Use a calculator to work out 101 – (2.3 + 17.8)

1 mark

Use a calculator to work out 53.2 + (9.3 x 3.3)

1 mark

80.9

83.89

Circle the closest number to 0.6

1 mark

0.49 0.52 0.69 0.7

Circle the closest number to 0.01

1 mark0.9 0.09 0.1 0.009

0.616

What must be added to 0.384 to make 1?

1 mark

0.11 0.08 0.09 0.10

0.89 0.08 0.09 0.001

1 – 0.384

Write in what the missing numbers might be.

These must add up to 110.

1 mark

240 + = 350 - 60 50

Choose a simple number here, like 2

Write in what the missing numbers might be.

1 mark

240 x = 350 +2 130

Place a simple number in the first space, like 60

39 x = 429

Write in the missing numbers.

111 mark

1 mark

1 mark

÷ 43 = 2018643

313 - = 89224

Here is part of a number line.

2 marks

Write in the four missing numbers.

66 1

4

5 14 5 3

4 6 12 7

What could Nebuchadnezzar’s fraction be?

2 marks

Nebuchadnezzar makes a fraction using two number cards.

He says,

‘My fraction is equivalent to ¼

One of the number cards is 8’

Give both possible answers.

or

Here are five digit cards.

1 mark

1 2 3 4 5

Use all five digit cards once to make this sum correct.

4

5 2

1 3 What other possibilities

exist?

+

6 9

There are 6 pieces of fudge in a box.

96

How many pieces of fudge are there altogether?

1 mark

A shop has 16 boxes on its shelves.

How many boxes must Mandy buy so that she has at least 50 pieces of fudge?

Mandy is going to eat 50 pieces of fudge for charity.

1 mark

950 ÷ 6 = 8 remainder 2

Michelle makes a sequence of numbers.

Her rule is

“double the last number and subtract 10”

1701 mark

Write in the next two numbers in her sequence.

30 50 90 330

………………………………………………………………………………………………………………………………………………………

Michelle says that 10 020 will not be a number in the sequence.

Explain why she is correct.

1 mark

The tens digit will always stay as an odd digit and since in the number 10 020 it is even this

number cannot be in the sequence.

These are the prices at a local take-away.

Total cost = £2.95 + ( 2 x £1.10 ) + £0.99

= £6.14

2 marks

Fish……………………£2.95

Chips…………………..£1.10

Sausage………………..£0.99

Veronica has £5

She wants to buy one fish, two chips and a sausage.

How much more money does she need?

Show your method. You

may get a mark.

£1.14Money still needed = £6.14 - £5

The temperature inside a car is 18ºC.

The temperature outside is -3ºC.

21

What is the difference between these temperatures?

degrees

21 mark

The outside temperature rises by 5ºC.

What is the new outside temperature?

ºC

1 mark

+3 +18

-3°C 0°C 18°C

+5

-3°C 0°C 2°C

There are 28 coloured cubes in a box.

A quarter of the cubes are blue, fifteen are red and the rest are green.

2 marks

How many green cubes are there in the box?

Number of blue cubes = 7

Show your method. You

may get a mark. 6

1 mark

One red cube is removed from the box.

What fraction of the cubes in the box are red now?

1427

Number of green cubes = 28 – (7 + 15) =

Use a calculator to work out 67.45 ÷ (4.2 – 2.3)

35.51 mark

2.88

Use a calculator to work out 0.2 x (0.6 + 13.8)

1 mark

75

Use a calculator to work out 30 x (20.75 ÷ 8.3)

1 mark

The distance from A to B is 4 times as far as from B to C

A B C

100cmNot drawn to scale

The distance from A to B is 100 centimetres.

125

The distance from B to C ( which is a quarter that from A to B) = 25cm

The distance from A to C = 100 + 25 cm = 125cm

2 marks

Calculate the distance from A to B.

Show your method. You

may get a mark.cm

Write what the three missing digits could be in this calculation.

x = 2 1 61 mark

3 6 6

Write what the two missing digits could be in this calculation.

7 x = 6 0 01 mark

5 8

s, t and h each stand for a whole number.

2 marks

They add together to make 2400

s + t + h = 2400

s is twice as big as t

h is three times as big as t

Calculate the numbers s, t and h.

s = t = h =

Show your method. You

may get a mark.

s = 2 x t and h = 3 x tso s + t + h = (t + t) + t + (t + t + t) = 6 x t = 2400 and t = 400

s = 2 x t = 2 x 400 and h = 3 x t = 3 x 400

800 400 1200

Here is a diagram for sorting numbers.

2 marks

Place one number in each white section of the diagram

less than 800

more than 800

multiples of 25

not multiples of 25

9080 765 625 1075

765

1075

9080

625

Write in the missing numbers.

54 27 13.51 mark

216 108

In this sequence each number is half the previous number.

0.075 0.15

Write in the missing numbers.

1 mark

In this sequence each number is double the previous number.

0.3 0.6

6.75

1.2

Circle the closest number to 800

1 mark

850 901 890 751

Circle the closest number to 1107

1 mark1011 1106 108 1102

15 000

Round 14 501 to the nearest thousand.

1 mark

50 101 90 49

4 1 999 5

9 x 2 x = 162

Write in the missing numbers.

91 mark

1 mark

1 mark

+ 43 - 39 = 209205

313 + = 89 x 12755

Write in the missing numbers.

Betty says,

“The number 801 is not a prime number.”

Is she correct?

Circle Yes or No.

Explain how you know.

1 mark

Yes / No

…………………………………………………………………………………………………………………………………………………………………………

Prime numbers have exactly two factors. Since 1, 9 and 801 are factors of 801 it therefore has at least three factors and so cannot be a prime number.

1 mark

Use the same five digit cards to make this correct.

+ = 4

1 mark

8 5 7 1 6

Here are five digit cards.

Use all five digit cards to make this correct.

2 x = 7 8 1 5 6

1 8 5 6 7

Cinema tickets cost £2.85 each.

Sally buys 5 tickets.

£14.251 mark

How much does Sally pay?

£4.94

fizzy drink popcorn

£1.24 £1.85

Saif buys a fizzy drink and two boxes of popcorn.

1 mark

How much does he spend in total?

£1.24 + 2 x £1.85

Sandra rounds each of them to the nearest £10 and then adds them up.

Here are the ends of three supermarket bills.

£1701 mark

Total £63.51 Total £73.89 Total £37.71

What is the total amount that Sandra works out?

£5.11

Exact total amount = £63.51 + £73.89 + £37.71 = £175.11

Difference = £175.11 - £170 =2 marks

What is the difference between her total and the exact amount?

Show your method. You

may get a mark.

£60 £70 £40

Total number of crates = 5 + 7 + 9 = 21

In a supermarket storeroom there are

4032 2 marks

5 crates of peas

7 crates of soup

9 crates of beans

There are 192 tins in every crate.

How many tins are there altogether?

Show your method. You

may get a mark.

Total number of tins = 21 x 192 = 4032

x

Use the digits 3, 5 and 6 once to make the multiplication which has the greatest product.

5 3 61 mark

1 mark

5 6 3x

Use the same three digits to make the lowest product.

35 x 6 = 210 36 x 5 = 180 53 x 6 = 318 56 x 3 = 168 63 x 5 = 315 65 x 3 = 195

÷ 9.65 = 19.2

Write in the missing numbers.

185.281 mark

1 mark

1 mark

200 – (45.83 + 53.93 ) = 100.24

200.63 - = 182.917.73

A = B =

Here are five number cards.

1 mark

A A A B BA and B stand for two different whole numbers

below ten.

The sum of all the numbers on all five cards is 39

What could be the values of A and B?

9 6

What other answers are possible?

60 + < 86

Write the largest whole numbers in the spaces

251 mark

1 mark

1 mark

which keep these statements true.

167 - > 10165

16 x < 30418

A sequence starts at 13 and follows the rule

‘double the last number and then subtract 4’

13 22 40 76 148…The sequence continues.

The number 9220 is in the sequence.

Calculate the number which comes immediately before 9220 in the sequence

Show your method. You

may get a mark.

9220 + 4 = 9224

4612 2 marks

9224 ÷ 2 = 4612

Two thermometers show the temperature inside and outside a greenhouse on a day in January.

Inside 11ºC

Outside 2 ºC

How many degrees warmer was it inside the greenhouse than outside?

9ºC1 mark

Later the temperatures were

Inside -1ºC

Outside -8 ºC

What is the difference between these two temperatures?

1 mark7ºC +7

-8°C -1°C

320 000 people visited a theme park in one year.

144 000 2 marks

20% of the people visited in July.

35% of the people visited in August.

How many people visited the park in the rest of the year?

Show your method. You

may get a mark.

Rest of year = 45%

July + August = 20% + 35% = 55%

45% of 320 000 = 144 000

BLANK PAGE

End of test