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Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth Day Month Year Teacher Year 6 These assessments have been designed by the White Rose Maths Hub. For more information, please visit www.whiterosemathshub.co.uk

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Page 1: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

Progress check

MathematicsPaper 2: reasoning and problem solving

Published Spring 2016

First name

Middle name

Last name

Date of birth Day Month Year

Teacher

Year 6

These assessments have been designed by the White Rose Maths Hub. For more information, please visit www.whiterosemathshub.co.uk

Page 2: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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Please do not write on this page.

Page 3: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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You may not use a calculator to answer any questions in this test.

Instructions

Questions and answers

You have 35 minutes to complete this test.

Follow the instructions for each question.

Work as quickly and as carefully as you can.

If you need to do working out, you can use the space around the question.

Some questions have a method box like this:

Marks

The number under each line at the side of the page tells you the maximum number of marks for each question.

For these questions you may get a mark for showing your method.

If you cannot do one of the questions, go on to the next one.

You can come back to it later, if you have time.

If you finish before the end, go back and check your work.

Showyour

method

Page 4: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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1 Hazel makes a number on a place value grid.

What is Hazel’s number rounded to the nearest whole number?

Hundreds Tens Ones Tenths Hundredths

100

100

100

100

0.01

0.01

0.01

0.1

0.1

1

1

1

1

1

10

10

10

1 mark

Hazel adds two more hundredths counters to the grid.

What number does she have now?

1 mark

Page 5: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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2 Put a tick (3) if the statement is correct.

0.37 × 1000 = 370

0.37 × 10 = 0.370

0.37 ÷ 10 = 00.37

0.37 ÷ 100 = 0.00371 mark

Page 6: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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1 mark

1 mark

BOOK£3.50

3 Here are the prices of some items.

The shop is having a 25% off sale.

How much does one DVD cost now?

How much do six CDs cost?

CD£3.55

DVD£12.00

Page 7: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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2 marks

4 Fill in the missing digits.

53

7

2

2

0965

23

×

Page 8: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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5 Three children are running a 5 kilometre race for charity.

Harry has run 3.77km

Sam has run 3,792m

Geeta has run 3 km

Who has run the furthest?

How far have they run altogether?

34

1 mark

1 mark

Page 9: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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6 Here are the start and end times of a TV programme.

How long is the TV programme?

Give your answer in minutes.

1 mark

12

6

9 3

111

57

210

48

Start End

Showyour

method

minutes

Page 10: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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7

Use this fact to complete the statements.

2 marks

miles = 4.8km

miles = 400m

10 miles = km

1 mile = 1.6km

Page 11: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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8 Label the parts of the circle.

1 mark

Page 12: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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9 Two rectangles each have the same area.

Which shape has got the largest perimeter?

Explain your answer.

(not to scale)

5cm 6cm

2.4cm Rectangle A Rectangle B

3 marks

Page 13: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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10 Here is a parallelogram.

5cm

4cm3cm

Calculate the area of the parallelogram.

1 mark

1 mark

11 Fill in the missing number.

20% of of 680= 110

cm2

Page 14: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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12 One book is 6cm wide, 15cm long and 0.5cm thick.

Eight identical books are placed on top of each other.

6cm

0.5cm15cm

What volume is taken up by the books?

2 marks

Showyour

method

cm3

Page 15: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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13 Here are the ingredients needed to make 12 cookies.

How much more flour than sugar is used?

How much butter is needed for 48 cookies?

Mary uses the recipe to make a different amount of cookies.

Mary uses 3 eggs.

How many cookies does she make?

1 mark

1 mark

1 mark

Ingredients

Sugar ..........180g

Butter ..........225g

Eggs ..................2

Flour ........... 0.3kg

g

Page 16: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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14

15

Fill in the missing numbers.

a and b are whole numbers.

a is a one digit number.

b is a two digit number.

Find four different possibilities for a and b.

2 marks

1 mark

3 7 12 18 25

0.5 1.3 1.7

a b

a + b = 14

Page 17: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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16 Petra has some sweets.

Abdul has 3 more sweets than Petra.

Sean has 1 more sweet than Abdul.

They have 25 sweets altogether.

2 marks

Showyour

method

How many sweets do they have each?

Petra: sweets

sweetsAbdul:

sweetsSean:

Petra Abdul Sean

Page 18: Progress check Year 6 - EXETER CONSORTIUM · Progress check Mathematics Paper 2: reasoning and problem solving Published Spring 2016 First name Middle name Last name Date of birth

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17 Five numbers have a mean of 12

Here are four of the numbers.

What is the fifth number?

2 marks

Showyour

method

13 12 9 16

END OF TEST

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