MATHEMATICS

KEY STAGE ? 200?

TEST ALEVELS

3-5

PAGE MARKS

5

7

9

11

13

15

TOTAL

BORDERLINE CHECK

17

CALCULATOR NOT ALLOWED

First Name

Last Name

School

Mark

Scheme

Woodfield Middle School

45 + = 130

Write in the missing numbers.

135 - = 70

- 55 = 30

85

65

85

1 mark

1 mark

1 mark

Which of these numbers give 70 when rounded to the nearest 10?

64 76 73 66 801 mark

60 80 70 70 80

Neil, Tony and Keith go to town by bus.

How much more does Keith pay than Neil?

80p

This is what they pay.

Neil Tony Keith

85p £1.45 £1.65

1 mark

How much has Tony paid altogether for his two bus tickets?

1 mark

Tony takes another bus from town to visit his auntie.

He pays 90p on this bus.

£2.35

Calculate 408 - 285

1 mark

1 mark

408 –285 123

3 1

Calculate 625 - 187

625 –187 438

5 111

1

Kim and Nathan have 18 badges each.

Nathan gives Kim 11 of them.

1 mark

How many cards do they each have now?

Kim Nathan

Claire has 23 badges. Michael has four times as many as Claire.

How many badges does Michael have?

1 mark

29 7

92

Calculate 2075 x 9

1 mark

1 mark

2075 x 918675 1 6 4

Calculate 1208 x 61208 x

6 7248 1

Here are four digit cards.

2 marks

5 1 9 4

Choose two cards each time to make the following two-digit numbers.

The first one is done for you.

an odd number

a multiple of 9

a square number

a factor of 60

5 1

4 9

1 5

4 5 or 5 4

Sam has a set of cards numbered from 1 to 10.

1 mark

He picks three different number cards.

? ? ?

Exactly two of the three numbers are even.

Exactly two of the three numbers are factors of 12.

All three numbers add up to 17

Write what the numbers could be.

3 6 8 What other answers are possible?

Gemma and Thomas have 20 cards each.

Thomas gives Gemma 12 of his cards.

How many cards do Gemma and Thomas each have now?

321 mark

Gemma Thomas 8

161 mark

Mandy has 24 cards.

She gives a third of them to Malcolm.

How many cards does Mandy have now?

Three-quarters of a number is 24.

32What is the number?

1 mark

361 mark

Two-thirds of a number is 24.

What is the number?

8

8

8

8

12 12

12

Here is a square.

1 mark

What fraction of the square is shaded?

58

Draw lines to join the circle to two more number cards which make 120.

120

2 marks

70 + 50

40 + 90

65 + 55

330 - 210

210 - 110

9 x 60 =

Write in the missing numbers.

5 x = 300

x 40 = 2000

540

60

50

1 mark

1 mark

1 mark

Circle all the multiples of 6 in this list of numbers.

30 34 26 54 451 mark

Circle all the factors of 48 in this list of numbers.

22 16 14 12 181 mark

5 x 6 = 30 9 x 6 = 54

48 ÷ 3 = 16 48 ÷ 4 = 12

Here is a repeating pattern of shapes.

111 mark

Each shape is numbered.

1 2 3 4 5 6 7 8

The pattern continues in the same way.

Write the numbers of the next two circles in the pattern.

and 14

Complete this sentence.

Shape number 60 will be a hexagon because…

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

1 mark

The numbers in the hexagons are always multiples of three. Since 60 is a multiple of three this will also be in a hexagon.

Rearrange these number cards to make an odd number that is greater than 800

1 mark

7 4 9

9 4 7

Rearrange these number cards to make an odd number that is between 650 and 750

1 mark

1 6 8

6 8 1

Write in the missing digits.

1 mark

1 mark

1 mark

+ =

+ =

+ =

3 3 6 1 9 7 1

6 6 2 7 9 0 5

3 5 2 7 6 0 5

5 8

2 9

8 4

Calculate 326 x 30

1 mark

1 mark

Calculate 309 x 20

326 x 3 978 1

so 326 x 30 = 9780

so 309 x 20 = 6180

Double 309 = 618

Tick ( ) two cards that give a total of 6

1 mark

334

114

314

424

124

312

Calculate 704 ÷ 22

1 mark

704 -(10 x 22) 220

484 -

6 1

(10 x 22) 220264 -

(10 x 22) 22044 -

(2 x 22) 440

so 704 ÷ 22 = 32

Calculate 340 ÷ 17

1 mark

340 -(10 x 17) 170

170 -

2 1

(10 x 17) 1700

so 340 ÷ 17 = 20

3 x = 120

Write in the missing numbers.

204 - = 78

+ 95 = 300

40

126

205

1 mark

1 mark

1 mark

Use each number card only once to make the answer to each calculation an even number.

1 mark

6 4 5

12 x

12 ÷

12 +

5 = 60

6 = 2

4 = 16

Here is a rectangle with 19 identical shaded squares inside it.

1 mark

19 40

What fraction of the rectangle is shaded?

What is his test score as a fraction?

Joe gets 16 questions out of 33 wrong in a spelling test?

1 mark

17 33

Here is a sorting diagram for numbers.

Write the numbers below in the correct spaces.

2 marks

odd not odd

not a square

number

a square

number 49

5063

36

49 50 63 361 mark

Write in the missing numbers in this multiplication grid.

2 marks

x 4

5 45 55

27

110

9 11

20

3 12 33

10 90 40

Sandra loves reading books.

She always reads four fiction

books for every two non-fiction

books.

Last month she read 12 fiction books.

How many books did she read altogether?

2 marks

Show your working. You

may get a mark.

Instead of 4 fiction books she reads 12 (3x4)

Instead of reading 2 non-fiction books she will read 6 (3x2)

Altogether she will therefore read 12 + 6 = 18 books

18 books

Audrey says,

1 mark

“I added three odd numbers and my answer was 94.”

Explain why Julie cannot be correct.

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

When any three odd numbers are added together the answer must always be odd. Since 94 is an even number it can not possibly be correct!

Mr. Bird buys paving slabs for his pond.

£24.60 2 marks

Square slabs Rectangular slabs

£1.65 £3

50cm by 50cm 50cm by 100cm

Pond

He buys 6 rectangular and 4 square slabs.

What is the total cost of the slabs he buys?

Show your working. You

may get a mark.

6 rectangular slabs = 6 x £3 = £18

4 square slabs = 4 x £1.65 = £6.60

Total cost = £18 + £6.60 =

Would it be cheaper to only use square slabs for the border?

1 mark…………………………………….No, 16 square slabs would cost 16 x £1.65 = £26.40

A shop sells 3 types of hats.

1 mark£2.74

£3.98 £3.99 £6.72

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

Brian buys a baseball hat and two of the hats with a feather on.

1 mark

How much change does he get from £20?

Show your working. You

may get a mark.

6.72 + 3.98 3.98

£14.68 1 2 1

1

20.00-14.68

£ 5.32

1 1 19 9

£5.32

£6.72 - £3.98

Calculate 800 ÷ ( 25 x 8 )

41 mark

300

Calculate 500 - ( 40 x 5 )

1 mark

John thinks of a number.

Since he ends up with the number he started with, multiplying his number by 5 must have the same effect as adding 40 on to it. This only works if the number he starts with is 9.

9 x 5 = 45 and 45-40 =5 again! 2 marks

He multiplies the number by 5 and then subtracts 40 from the result.

His answer equals the number he started with.

What was the number John started with?

Show your working. You

may get a mark.

9

A sequence starts at 400 and 60 is subtracted each time.

-20

2 marks

400 340 280…

The sequence continues in the same way.

Write the first two numbers in the sequence which are less than zero.

-80

10 pupils are going on a school trip.

The 5 at the end of £85 can only be made by multiplying £7 since any number of £10 will leave 0 at the end. 5 lots of £7 = £35 plus 5 lots of £10 = £50 £35+£50 =£85

2 marks

It costs £10 including lunch.

Some children take their own packet lunch.

They pay only £7.

The 10 pupils pay a total of £85

How many children are taking their own packet lunch?

Show your working. You

may get a mark.

5

Each of these bags contains £1.80

Complete this table to show how many coins are in each bag.

1 mark

Each bag contains only one type of coin.

1pcoins

10pcoins

20pcoins

One has been done for you.

Type of coin Number of coins

1p

10p

20p

180

189

Which is larger, or ?3 55 8

58

1 mark

Explain how you know.

35 = 24

4058 = 25

40and

35

58

24 25

These are the prices of sandwiches, drinks and fruit.

Sandwiches Drinks Fruit

£1.98

cheese £1.25 milk 46p apple 18p tuna £1.80 cola 55p pear 25p salad £1.30 juice 60p melon 24p

Maureen buys a cheese sandwich, cola and an apple.

How much does she pay?1 mark

milk melonand1 mark

Betty has 70p to spend on a fruit and a drink.

What two things can she buy for exactly 70p?

…………… ……………

Ellis has 56 plants.

He plants 4 plants in each of his pots.

How many pots does he need?

141 mark

pots

How many plants did she start with?

1 mark

Audrey puts 5 plants in each of her pots.

She uses 7 pots and has 2 plants left over.

37

56 ÷ 4

5 x 7 + 2

2 marks

Aimee bought some bags of green apples and some bags of red apples.

She spent £4.10

How many bags of each type of apple did she buy?

4

Red apples 45p for 4

Green apples 80p for 10

1 bag of each costs £1.25

Show your working. You

may get a mark.

2bags of red apples

bags of green apples

2 bags of each costs £2.50 which is £1.60 short

£1.60 = 2 bags of green apples

BLANK PAGE

End of test