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National curriculum tests
Key stage 2
Mathematics Paper 2: reasoning
First name
Middle name
Last name
Date of birth Day Month Year
School name
SAMPLE BOOKLET Published July 2015
This sample test indicates how the national curriculum will be assessed from 2016. Further information is available on GOV.UK at www.gov.uk/sta.
PUPI
L ID
NU
MBE
R
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Page 02 of 24
[BLANK PAGE]
Please do not write on this page.
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Page 03 of 24
Questions and answers
You have 40 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. Do not write over any barcodes.
Some questions have a method box like this:
Show your
method
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.
Marks
The number under each line at the side of the page tells you the maximum number of marks for each question.
Instructions
You may not use a calculator to answer any questions in this test.
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Page 04 of 24
1 Write the missing number.
One is done for you.
160180is 20 more than
105is 20 more than
237is 20 more than
160180is 20 more than
105is 20 more than
237is 20 more than
1 mark
1 mark
M004436_20more – 22 April 2015 2:44 PM – Version 3
KS2 item template version 1.1
3N2
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Page 05 of 24
A pack of paper has 150 sheets. 4 children each take 7 sheets.
How many sheets of paper are left in the packet?
Show your
method
2
2 marks
M004003_sheetwise – 19 June 2015 2:11 PM – Version 6
KS2 item template version 1.1
3C8 3C6
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Page 06 of 24
This graph shows the temperature in six cities on one day in January.
–10
–8
–6
–4
–2
0
2
4
6
8
10
Temperature(°C)
Kiev Berlin Rome
Cities
Oslo Paris Madrid
Which city was 4 degrees warmer than Kiev?
What was the difference between the temperature in Oslo and the temperature in Berlin?
˚C
1 mark
1 mark
3
1 mark
1 mark
M003329_chile – 19 March 2015 11:01 AM – Version 3
KS2 item template version 1.1
4S1 6N5
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Page 07 of 24
Here are some shapes made of squares. A fraction of each shape is shaded.
Match each shape to its equivalent fraction.
One has been done for you.
710
35
12
45
310
4
2 marks
M004009_matchfrac – 22 April 2015 2:15 PM – Version 3
KS2 item template version 1.1
4F2
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Page 08 of 24
Stefan’s watch shows five minutes past nine. The watch is twelve minutes fast.
34
567
89
1211102
1
What is the correct time?
6
1 mark
M003282_watch out – 14 April 2015 9:47 AM – Version 2
KS2 item template version 1.1
4M4c
What is 444 minutes in hours and minutes?
hours minutes
1 mark
5
5M4
1 mark
M003290_Marathon – 12 March 2015 2:58 PM – Version 3
KS2 item template version 1.1
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Page 09 of 24
In the circles, write a multiple that belongs to each set. One has been done for you.
multiple of 20numbers from 101 to 199
multiple of 30numbers from 201 to 299
multiple of 40numbers from 301 to 399
multiple of 10numbers from 1 to 99 50
2 marks
7
2 marks
M003196_multibuy – 20 February 2015 10:48 AM – Version 3
KS2 item template version 1.1
5C5a
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Page 10 of 24
8 Maria bakes cakes and sells them in bags.
She uses this formula to work out how much to charge for one bag of cakes.
Cost = number of cakes × 20p + 15p for the bag
How much will a bag of 12 cakes cost?
£
Olivia buys a bag of cakes for £5.15
Use the formula to calculate how many cakes are in the bag.
1 mark
Show your
method
cakes
2 marks
1 mark
2 marks
M003944_cakery – 22 April 2015 1:22 PM – Version 4
KS2 item template version 1.1
6A2
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Page 11 of 24
Here is a triangle.
Measure the shortest side accurately, in centimetres.
cm
Measure the largest angle.
˚
1 mark
1 mark
9
1 mark
1 mark
M003268_laidback – 22 April 2015 3:57 PM – Version 4
KS2 item template version 1.1
5G4c 3M2
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Page 12 of 24
Write the two missing digits to make this long multiplication correct.
4
× 6
2 4 6
8 2 0
1 0 6 6
2 marks
10
2 marks
M004370_New years day – 9 June 2015 3:13 PM – Version 4
KS2 item template version 1.1
5C7a
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Page 13 of 24
11 Here is a number written in Roman numerals.
C X V
Write the number in figures.
1 mark
M005211 – 9 June 2015 3:16 PM – Version 2
KS2 item template version 1.1
12 What number is halfway between 1.4 and 2.1?
1 mark
M003166 – 9 June 2015 3:16 PM – Version 2
KS2 item template version 1.1
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Page 14 of 24
13 The diagram shows a shaded octagon on a square grid. Line A joins two vertices of the octagon.
Join two other vertices to draw a line parallel to line A. Use a ruler.
A
Join two vertices to draw a line perpendicular to line A. Use a ruler.
A
1 mark
1 mark
1 mark
1 mark
M003960_p&p – 22 April 2015 1:40 PM – Version 3
KS2 item template version 1.1
3G2
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Page 15 of 24
Round 124,531
to the nearest 10,000
to the nearest 1,000
to the nearest 100
2 marks
14
2 marks
M003996 - commas_nearest – 25 June 2015 12:51 PM – Version 4
KS2 item template version 1.1
5N4
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Page 16 of 24
15 A shaded isosceles triangle is drawn inside a rectangle.
Not to scalea
38º
Calculate the size of angle a.
Show your
method
a is ˚
2 marks
2 marks
M003926_sunrise – 9 June 2015 3:18 PM – Version 4
KS2 item template version 1.1
6G4b
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Page 17 of 24
16 Large pizzas cost £8.50 each. Small pizzas cost £6.75 each. Five children together buy one large pizza and three small pizzas. They share the cost equally. How much does each child pay?
Show your
method
£
2 marks
2 marks
M003565 – 2 April 2015 11:44 AM – Version 4
KS2 item template version 1.1
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Page 18 of 24
17 Seven children measured their heights.
Children Height (cm)
Stefan 144
Lara 136
Olivia 142
Chen 143
Maria 152
Dev 148
Sarah 150
. What is the mean height of the children?
Show your
method
cm
2 marks
KS2 item template version 2
M005217 Tall meaning – 17 June 2015 3:42 PM – Version 1
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18 100 girls and 50 boys were asked which kind of chocolate they like best. These two pie charts show the results.
100 girls 50 boys
milkchocolate
white chocolateplain
chocolate
plain chocolate
white chocolate
milkchocolate
Dev says,
“The pie charts show that more girls than boys liked
milk chocolate best.”
Dev is correct.
Explain how you know.
1 mark
1 mark
M004088_chocolate pie – 14 April 2015 1:01 PM – Version 3
KS2 item template version 1.1
6S1
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Page 20 of 24
19 One gram of gold costs £32.94
What is the cost of half a kilogram of gold?
Show your
method
£
2 marks
2 marks
M003948_goldilocks – 9 June 2015 3:21 PM – Version 3
KS2 item template version 1.1
6F10 5M5
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Page 21 of 24
20 On Saturday Lara read 25
of her book.
On Sunday she read the other 90 pages to finish the book.
How many pages are there in Lara’s book?
Show your
method
pages
2 marks
2 marks
M003976_pageant – 9 June 2015 3:22 PM – Version 4
KS2 item template version 1.1
6R4
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Page 22 of 24
[END OF TEST]
Please do not write on this page.
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Page 23 of 24
[BLANK PAGE]
Please do not write on this page.
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Sample key stage 2 mathematics paper 2: reasoning Electronic PDF version product code: STA/15/7323/e ISBN: 978-1-78315-741-9
For more copies Additional printed copies of this booklet are not available. It can be downloaded from www.gov.uk/government/publications.
© Crown copyright and Crown information 2015
Re-use of Crown copyright and Crown information in test materials Subject to the exceptions listed below, the test materials on this website are Crown copyright or Crown information and you may re-use them (not including logos) free of charge in any format or medium in accordance with the terms of the Open Government Licence v3.0 which can be found on the National Archives website and accessed via the following link: www.nationalarchives.gov.uk/doc/open-government-licence. When you use this information under the Open Government Licence v3.0, you should include the following attribution: ‘Contains public sector information licensed under the Open Government Licence v3.0’ and where possible provide a link to the licence.
Exceptions – third-party copyright content in test materials You must obtain permission from the relevant copyright owners, as listed in the ‘2016 sample tests copyright report’, for re-use of any third-party copyright content which we have identified in the test materials, as listed below. Alternatively you should remove the unlicensed third-party copyright content and/or replace it with appropriately licensed material.
Third-party content These materials contain no third-party copyright content.
If you have any queries regarding these test materials contact the national curriculum assessments helpline on 0300 303 3013 or email [email protected].
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