Ks2 Maths Test e

8/19/2019 Ks2 Maths Test e

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National curriculum tests

Key Stage 2

Mathematics

PRACTICE TEST E

Paper 1: arithmetic

First name

Middle name

Last name

Total marks

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unauthorised printed or digital

copies of copyrighted material.!

TheSchoolRun’s practice tests are similar in format and style to atypical KS2 SATs paper. They do not include any ofcial questions

and they are not endorsed by any ofcial examining body. © TheSchoolRun


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Give your child the test paper along with a pen or sharp pencil.

They may use a rubber, but they can cross out instead of rubbing out if preferred.

Your child is not allowed a calculator or any other kind of mathematical equipment.

Give your child 30 minutes to do the test.

Encourage them to leave out any questions they are not sure of.

Remind them to check their work at the end if they have time.

Do not help your child with any of the questions.

Explain to your child that most questions on this Paper are worth one mark,but some questions are worth two marks. Even if the answer of a two-mark questionis incorrect, one mark may be awarded for using a (correct) formal method.

There is a maximum of 40 marks on Paper 1.

KS2 SATs

Maths arithmetic

TheSchoolRun practice papers

Paper 1: instructions


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89,998 + 3 =

154 x 3 =

1 mark

1 mark

1 mark

3

2

1

3.7 + 1.2 =


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9 x 6 =

4,512 + 375 =

64 ÷ 8 =

1 mark

1 mark

1 mark

6

5

4


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422 - 6 =

4.5 + 0.06 =

3 x 5 x 4 =

1 mark

1 mark

1 mark

9

8

7


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420 ÷6 =

4.9 x 1000 =

1 mark

1 mark

1 mark

12

11

10 + =2 4

9 9


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1 mark

1 mark

1 mark

15

14

13

500,000 - 7000 =

10 =

0.5 x 100 =


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1 mark

1 mark

1 mark

18

17

16 5,400 ÷ 6 =

60% of 500 =

6.37 x 3 =


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1 mark

1 mark

1 mark

21

20

19 + =3 2

6 6

6,273 + 3,628 =

5,600 ÷ 7 =


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1 mark

1 mark

24

22 7 - 3.09 =

13.7 - 4.9 =

54x

98

23

1 / 2 marks


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1 mark

26

1 495 525

x =1 17 3

1 mark

27 99% of 5kg =

1 / 2 marks


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1 mark

1 mark

30

28 839,628 - 45,289 =

6x

932

329

4 x 2 =15

1 / 2 marks


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1 mark

1 mark

1 mark

33

31

32

90 - 9 x 7 =

÷ 2 =110

1 - =1 14 8


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1 mark

35

4 138 2 0 34

1 mark

36 ÷ 3 =19

+ =5 46 5

1 / 2 marks


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END OF TEST


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1 mark

1

ANSWERS

1 mark

2

1 mark

3

1 mark

4

1 mark 5

1 mark

6

1 mark

7

81 mark

89,998 + 3 =

154 x 3 =

3.7 + 1.2 =

90,001

462

4.9

9 x 6 =

4,512 + 375 =

64 ÷ 8 =

54

4,887

8

422 - 6 =

4.5 + 0.06 =

416

4.56


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1 mark

9

1 mark

10

1 mark

11

1 mark

12

1 mark

1 mark

1 mark

16

13

14

15

1 mark

3 x 5 x 4 = 60

420 ÷ 6 =

4.9 x 1000 =

+ =2 49 9

70

4900

69

500,000 - 7000 =

10 =

0.5 x 100 =

493,000

100

50

5,400 ÷ 6 = 900


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1 mark

17

1 mark

18

1 mark

19

1 mark

20

1 mark

1 mark

1 / 2 marks

24

21

22

23

1 mark

Give 2 marks if your child has given thecorrect answer. Give one mark for thelong multiplication method (showingall the working right the way throughto the answer) but with one error.

60% of 500 =

6.37 x 3 =

300

19.11

+ =3 2

6 6

6,273 + 3,628 =

5,600 ÷ 7 =

6

800

7 - 3.09 = 3.91

13.7 - 4.9 =

2,832

8.8

54x

98

5

9,901


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25

1 mark

26

1 mark

27

1 mark

28

1 mark

1 / 2 marks

32

29

30

31

1 mark

Give 2 marks if your child has given thecorrect answer. Give one mark for thelong multiplication method (showingall the working right the way throughto the answer) but with one error.

Give 2 marks if your child has giventhe correct answer. Give one mark forthe long division method (showing allthe working right the way through tothe answer) but with one error. 1 / 2 marks

1 mark

x =1 17 3

99% of 5kg =

121

63

4.95kg or

4950g

839,628 - 45,289 =

4 x 2 =15

794,339

8,487

8 45

90 - 9 x 7 = 27

÷ 2 =110

120

1 495 5

6x 9323


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33

34

1 mark

35

1 mark

36

Give 2 marks if your child has giventhe correct answer. Give one mark forthe long division method (showing allthe working right the way through tothe answer) but with one error. 1 / 2 marks

END OF TEST

1 - =1 14 8

118

+ =5 4

6 5

65

÷ 3 =19

130

127

4 138 2 0

19

1 mark


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Key Stage 2

Mathematics

PRACTICE TEST E

Paper 2: reasoning

First name

Middle name

Last name

Total marks







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Give your child the test paper along with a blue / black pen or dark pencil, a rubber (optional), aruler (showing cm and mm), a protractor (angle measurer) and a mirror.


Your child is not allowed a calculator or tracing paper.





Explain to your child that most questions on this Paper are worth one mark,but some questions are worth two marks. Even if the answer of a two-mark questionis incorrect, one mark may be awarded for doing some of the working out correctly,so it is important to show your working clearly in the space provided.

There are a total of 35 marks on this paper.

KS2 SATs

Maths reasoning




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340

135

365

1 mark

2 marks

Show your

method

is 25 less than

is 25 less than

1

2

Write the missing number. One has been done for you:

In a class of 20 children, 15 children receive £4 pocketmoney a week.

Five children receive £5 pocket money a week.

How much money do the class receive in total over 4 weeks?

£


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1 mark

1 mark

3

4

Claire thinks of a number. She subtracts 20 from it and endsup with - 6.

Express this fraction in its simplest form:

What was her original number?


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5

6

7

What is 100 hours in days and hours?

My train leaves at 13:17 and arrives two minutesbefore 2pm.

How long has the journey taken?

a) Write down a multiple of 32 (other than 32 itself)

b) Write down a common factor for 32 and 320 (otherthan 1 and 32)

1 mark

1 mark

1 mark

1 mark

days hours


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8 A furniture shop is selling dining tables for £220.

Dining chairs usually cost £50 each.

1st offer: If you buy 4 chairs to gowith the table, they cost a total of£180.

2nd offer: If you buy 6 chairs to gowith the table, they cost a total of£240.

b) How much money do you save on the chairs withthe second offer?

c) Mr Campbell chooses the first offer. How much doeshe spend on a table and 4 chairs?

a) How much money do you save on the chairs withthe first offer?

1 mark

1 mark

1 mark

£

£

£


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9 a) Here is a regular pentagon:

b) What size are each of its angles?

Use a ruler to work out its perimeter:

1 mark

1 mark

cm

°


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10

12

11

Write the missing number in this number sentence:

What number is halfway between 1.9 and 2.6?

Here is a number written in Roman numerals:

LXXXWrite the number in figures:

1 mark

1 mark

1 mark

19x = 3,800


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13 Draw a quadrilateral that has both an acute angle andan obtuse angle.

1 mark


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14 Round 5,294,758

To the nearest 100,000


To the nearest 1000

2 marks


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15 Here are three angles on a straight line.

Calculate the size of the angle marked x .Do not use a protractor.

Not to

scale

2 marks

Show your

method

x is °

23° x


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16 Kayleigh is making a cheese and onion omelette.She buys the following things:

Six eggs £1.80An onion 24p250g of cheese £2.10

For the omelette she uses 2 eggs, half the onion and50g of cheese.

How much does the omelette cost to make?

2 marks

Show your

method

£


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17 Jane went to the front of her house every two hours andcounted the number of vehicles passing in one minute.

Time

8.30am

10.30am

12.30pm

2.30pm

4.30pm

6.30pm

Number of vehicles

15

5

8

4

7

21

What is the mean average number of vehicles thatpassed her house in one minute?

2 marks

Show your

method


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18 This pie chart shows how children in the whole of Year 6travel into school:

There are 52 children in the whole of Year 6.

a) How many children come to school by car?

b) 5 children come to school by taxi. How many children cycle?

c) 17 children come to school by bus. How many children walk?

1 mark

1 mark

1 mark

Car

Cycle

TaxiWalk

Bus


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19

20

Two litres of sparking water costs £1.68.

What does 750ml of sparkling water cost?

I have read of my book.

I have 175 pages left to read.

How many pages are in my book altogether?

2 marks

2 marks

Show your

method

Show your

method

£

£

3

10


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21

22

A rectangle has an area of 45cm².

One of its sides is 9cm long.

What is its perimeter?

A cube has edges of 7cm.

What is the volume of the cube?

1 mark

1 mark

cm

cm 3

END OF TEST


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ANSWERS

340

135

365

1 mark

2 marks

is 25 less than

is 25 less than

1

2

Write the missing number. One has been done for you:

In a class of 20 children, 15 children receive £4 pocketmoney a week.

Five children receive £5 pocket money a week.

Award 2 marks for correct answer of £340.

Award 1 mark for an incorrect answer, if evidence ofappropriate method is shown, for example:15 x 4 = 605 x 5 = 2585 x 4 = wrong answer

How much money do the class receive in total over 4 weeks?

160


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1 mark

1 mark

3

4

Claire thinks of a number. She subtracts 20 from it and endsup with - 6.

Express this fraction in its simplest form:

What was her original number?

14

14


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5

6

7

What is 100 hours in days and hours?

My train leaves at 13:17 and arrives two minutesbefore 2pm.

How long has the journey taken?

a) Write down a multiple of 32 (other than 32 itself)

Any multiple of 32 given: 64, 96, 128, 160, 192, etc.

2, 4, 8 or 16

b) Write down a common factor for 32 and 320 (otherthan 1 and 32)

1 mark

1 mark

1 mark

1 mark

days hours4 4

41 minutes


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8 A furniture shop is selling dining tables for £220.

Dining chairs usually cost £50 each.

1st offer: If you buy 4 chairs to gowith the table, they cost a total of£180.

2nd offer: If you buy 6 chairs to gowith the table, they cost a total of£240.

b) How much money do you save on the chairs withthe secnd offer?

c) Mr Campbell chooses the first offer. How much doeshe spend on a table and 4 chairs?

a) How much money do you save on the chairs withthe first offer?

1 mark

1 mark

1 mark

£

£

£

20

60

400


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9 a) Here is a regular pentagon:

b) What size are each of its angles?

Use a ruler to work out its perimeter:

1 mark

1 mark

cm

°108

15(When printed out atA4 paper size.)


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10

12

11

Write the missing number in this number sentence:

What number is halfway between 1.9 and 2.6?

Here is a number written in Roman numerals:

LXXXWrite the number in figures:

1 mark

1 mark

1 mark

19x = 3,800200

2.25

80


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13 Draw a quadrilateral that has both an acute angle andan obtuse angle.

Any quadrilateral with at least one acute angle (smallerthan 90°) and at least one obtuse angle (measuringbetween 90° and 180°), for example:

1 mark


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14 Round 5,294,758


Award 2 marks for all three correct.Award 1 mark for two correct.


To the nearest 1000

2 marks

5,300,000

5,290,000

5,295,000


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15 Here are three angles on a straight line.

Award 2 marks for correct answer of 67°

Award 1 mark for an incorrect answer, if evidence ofappropriate method is shown, for example:23 + 90 = 113°180 - 113 = wrong answer

Calculate the size of the angle marked x .Do not use a protractor.

Not to

scale

2 marks

23° x


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16 Kayleigh is making a cheese and onion omelette. Shebuys the following things:

Six eggs £1.80An onion 24p250g of cheese £2.10

For the omelette, she uses 2 eggs, half the onion and50g of cheese.

How much does the omelette cost to make?

Award 2 marks for correct answer of £1.14

Award 1 mark for an incorrect answer, if evidence ofappropriate method is shown, for example:

£1.80 ÷ 6 = 30p, 30 x 2 = 60p24 ÷ 2 = 12p2.10 ÷ 5 = wrong answer

60 + 12 + wrong answer = wrong answer2 marks


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17 Jane went to the front of her house every two hours andcounted the number of vehicles passing in one minute.

Time

8.30am

10.30am

12.30pm

2.30pm

4.30pm

6.30pm

Number of vehicles

15

5

8

4

7

21

What is the mean average number of vehicles thatpassed her house in one minute?

Award 2 marks for correct answer of 10Award 1 mark for an incorrect answer, if evidence ofappropriate method is shown, for example:

All six amounts added up and divided by 6, but witha small mistake that leads to wrong answer.

2 marks


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18 This pie chart shows how children in the whole of Year 6travel into school:

There are 52 children in the whole of Year 6.

a) How many children come to school by car?

b) 5 children come to school by taxi. How many children cycle?

c) 17 children come to school by bus. How many children walk?

1 mark

1 mark

1 mark

Car

Cycle

Taxi

Walk

Bus

13

8

9


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19

20

Two litres of sparking water costs £1.68.

What does 750ml of sparkling water cost?

Award 2 marks for correct answer of 63p


168 ÷ 2 = 84p (cost of 1 litre)84 ÷ 4 = wrong answer (cost of 250ml)Wrong answer x 3 = 63p (cost of 750ml)

OR:168 ÷ 8 = 21p21 x 3 = wrong answer

Award 2 marks for correct answer of 250

Award 1 mark for an incorrect answer, if evidence ofappropriate method is shown, for example:175 ÷ 7 = wrong answerWrong answer x 10 = wrong answer

I have read of my book.

I have 175 pages left to read.

How many pages are in my book altogether?

2 marks

2 marks

3

10


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21

22

A rectangle has an area of 45cm².

One of its sides is 9cm long.

What is its perimeter?

A cube has edges of 7cm.

What is the volume of the cube?

1 mark

1 mark

cm

cm 3

28

343

END OF TEST


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Key Stage 2

Mathematics

PRACTICE TEST E

Paper 3: reasoning

First name

Middle name

Last name

Total marks







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Give your child the test paper along with a blue / black pen or dark pencil, a rubber (optional), aruler (showing cm and mm), a protractor (angle measurer) and a mirror.


Your child is not allowed a calculator or tracing paper.





Explain to your child that most questions on this Paper are worth one mark,but some questions are worth two marks. Even if the answer of a two-mark questionis incorrect, one mark may be awarded for doing some of the working out correctly,so it is important to show your working clearly in the space provided.

There are a total of 35 marks on this paper.

KS2 SATs

Maths reasoning




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1 mark

1

2

Here is a diagram for sorting numbers.

Put one number into each of the two empty sections.

It is - 4°C in the middle of the night.

By morning, the temperature is 2°C.

How much has the temperature risen in this time?

Prime number Above 10

5

°C 1 mark


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1 mark

1 mark

1 mark

3 Look at this number:

Write the digit that is in the tenths place

If you added 10,000 to this number, which digitwould change?

Write the digit that is in the tens place

479,382.651


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4This bar chart shows the eye colour of the children in the wholeof Year 5:

Esme says: “Over half the children in Year 5 havegreen eyes.”

Explain why she is wrong.

1 mark

Blue Green Brown

20

25

30

35

15

10

5


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5 These potatoes weigh 500g.

Put an arrow on the scales to show this amount.

1 mark

1 mark

1 k g

gram

0 g


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6

7

What do I have to add to 0.007 to make 1?

Write this number in words:

3,892,859

1 mark

1 mark

8 Danny got 86% in an exam.

He got 43 marks in total.

What was the total possible number of marks he couldhave got?

1 mark


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9

What are the co-ordinates for point A?

What are the co-ordinates for point B?

A ( , )

( , )B

( , )

( , )

1 mark

1 mark


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10 Together, these four bags weigh 1 kg.

They are all of identical weight.

a) What is the weight of each bag?Give your answer in grams.

b) What would the weight of 8 bags be?

1 mark

1 mark g

kg


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11 Write in the four missing digits to make this subtraction correct:

2 marks

- 4

2

8

5

5

1

5

4


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12

13

What do you multiply 7 by to make 2.1?

Simplify this fraction:

1860

749

1 mark

1 mark

1 mark


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14 Claire has eaten a third of her dinner.

Tanya has eaten half this amount.

How much has Tanya eaten?

1 mark

15 What is the area of this triangle?

1 mark

5cm

6 c m

cm2


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16 Robert starts with a number and multiplies it by 3.

He then halves the result.

He adds ten to this.

He ends up with 26.5.

What number did he start with?

2 marks

Show your

method


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17 There are 1000 cars in a multi-storey car park.

600 of these are staying in the car park for the whole day.

What percentage are NOT staying in the car park for the

whole day?

2 marks

Show your

method


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18 Here are the ingredients for vegetable lasagne:

90g carrots90g courgettes90g mushrooms150g cheese300ml milk30g flour15 pasta sheets

Daniel has only 100g of cheese, so he will have to makea smaller lasagne than the one in the recipe.

1 mark

1 mark

a) What weight of mushrooms should he use?

b) How many pasta sheets should he use?

g


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19Mr Potter wants to make a border of square stone slabsaround the edge of his pond like this:

The pond is a square.

Its perimeter is 6 metres.

Each stone square has sides of 25cm.

How many stone squares will he need to go all the wayaround the outside of the pond?

Hint: Don’t forget the corners!

2 marks

Show your

method


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20 This line graph shows the grades a boy got on each of hissix maths tests:

a) Roughly what mark did he get for Test 5?

b) Roughly what is the difference in marks between hishighest and lowest score?

1 mark

1 mark

20

1

M a r k o u t o f 2 0

2 3 4 5 6

40

60

80

100

120


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10100

30100

48

30%

60%

0.1

0.6

0.5

21 Match each card on the left to an equivalent card on theright, by drawing lines.

2 marks


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22 What number needs to go in the gap to make thisnumber sentence correct?

x 7 = 50 - 81 mark

END OF TEST


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ANSWERS

1 mark

1 mark

1

2

Here is a diagram for sorting numbers.

Put one number into each of the two empty sections.

Middle section to have any prime number above 10:11, 13, 17, 19, 23, 29 etc.Right-hand section to have any number above 10 thatis NOT prime: 12, 14, 15, 16, 18, 20, 21, 22 etc.

It is - 4°C in the middle of the night.

By morning, the temperature is 2°C.

How much has the temperature risen in this time?

Prime number Above 10

5

°C

6


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1 mark

1 mark

1 mark

3 Look at this number:

Write the digit that is in the tenths place

If you added 10,000 to this number, which digitwould change?

Write the digit that is in the tens place

479,382.651

8

6

7


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4This bar chart shows the eye colour of the children in the wholeof Year 5:

Esme says: “Over half the children in Year 5 havegreen eyes.”

Explain why she is wrong.

There are 60 children altogether and only 20 havegreen eyes.OROne third of the children have green eyes.

1 mark

Blue Green Brown

20

25

30

35

15

10

5


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5 These potatoes weigh 500g.

Put an arrow on the scales to show this amount.

1 mark

1 mark

1 k g

gram

0 g


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6

7

What do I have to add to 0.007 to make 1?

Write this number in words:

Three million, eight hundred and ninety-two thousand,eight hundred and fifty-nine.

3,892,859

1 mark

1 mark 0.993

8 Danny got 86% in an exam.

He got 43 marks in total.What was the total possible number of marks he couldhave got?

501 mark


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9

What are the co-ordinates for point A?

What are the co-ordinates for point B?

A ( , )

( , )B

( , )

( , )2 7

7 3

1 mark

1 mark


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10 Together, these four bags weigh 1 kg.

They are all of identical weight.

a) What is the weight of each bag?Give your answer in grams.

b) What would the weight of 8 bags be?

1 mark

1 mark g

kg

250

2


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11 Write in the four missing digits to make this subtraction correct:

Award 2 marks for all four correct.Award 1 mark for three correct.

2 marks

- 4 3 9

1 4

2

8

5

5

1

5

4


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12

13

What do you multiply 7 by to make 2.1?

Simplify this fraction:

18 360 10

7 149 7

1 mark

1 mark

1 mark

0.3


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14 Claire has eaten a third of her dinner.

Tanya has eaten half this amount.

How much has Tanya eaten?

1 mark

15 What is the area of this triangle?

1 mark

5cm

6 c m

cm2

16

15


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16 Robert starts with a number and multiplies it by 3.

He then halves the result.

He adds ten to this.

He ends up with 26.5.

What number did he start with?

Award 2 marks for correct answer of 11.


26.5 - 10 = 16.5, 16.5 x 2 = wrong answer,wrong answer ÷ 3 = wrong answer.

2 marks


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17 There are 1000 cars in a multi-storey car park.

600 of these are staying in the car park for the whole day.

What percentage are NOT staying in the car park for the

whole day?

Award 2 marks for correct answer of 40%.

Award 1 mark for an incorrect answer, if evidence of

appropriate method is shown, for example:

600 / 1000 = 60 / 100So those NOT staying in car park = wrong answer / 100= wrong percentage

2 marks


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18 Here are the ingredients for vegetable lasagne:

90g carrots90g courgettes90g mushrooms150g cheese300ml milk30g flour15 pasta sheets

Daniel has only 100g of cheese, so he will have to makea smaller lasagne than the one in the recipe.

1 mark

1 mark

a) What weight of mushrooms should he use?

b) How many pasta sheets should he use?

g60

10


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19Mr Potter wants to make a border of square stone slabsaround the edge of his pond like this:

The pond is a square.

Its perimeter is 6 metres.

Each stone square has sides of 25cm.

How many stone squares will he need to go all the wayaround the outside of the pond?

Hint: Don’t forget the corners!

Award 2 marks for correct answer of 28.


Each side - 150cm, so can fit 6 squares6 x 4 = 24(child forgets to add corner stones to make total of 28).

2 marks


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20 This line graph shows the grades a boy got on each of hissix maths tests:

a) Roughly what mark did he get for Test 5?

90 (but accept between 88 and 92)

Accept between 22 and 27

b) Roughly what is the difference in marks between hishighest and lowest score?

1 mark

1 mark

20

1

M a r k o u t o f 2 0

2 3 4 5 6

40

60

80

100

120


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10100

30100

48

30%

60%

0.1

0.6

0.5

21 Match each card on the left to an equivalent card on theright, by drawing lines.

Award 2 marks for all four correct.

Award 1 mark for two correct.

2 marks


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22 What number needs to go in the gap to make thisnumber sentence correct?

x 7 = 50 - 81 mark

END OF TEST

6

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Ks2 Maths Test e