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F00070A0124 Mathematics Paper 2: reasoning First name Middle name Last name Date of birthDay Month Year School name DfE number 2017 national curriculum tests Key stage 2

Page 2 of 24 F00070A0224 [BLANK PAGE] Please do not write on this page.

Page 3 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 a question, 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. F00070A0324 Marks The number under each line at the side of the page tells you the maximum\ number of marks for each question. Instructions You must not use a calculator to answer any questions in this test.

Page 4 of 24 William asks the children in Year 2 and Year 6 if they walk to school. This graph shows the results. 0 20 40 60 80 100 120 140 Number of children walk to school Year 2 Year 6 don’t walk to school Altogether, how many children don’t walk to school? How many more Year 6 children than Year 2 children walk to school? 1 1 mark 1 mark 5S2 walkies KS2 item template version 1.2 M004801 – 26 October 2016 9:58 AM – Version 6 F00070A0424

Page 5 of 24 Circle the number that is 10 times greater than nine hundred and seven. 9,700 907 9,007 970 9,070 2 1 mark 4N6 nines and sevens KS2 item template version 1.2 M004662 – 14 December 2016 10:57 AM – Version 4 Write the missing numbers to make this multiplication grid correct. 54639 × 4856 3 1 mark 4C6a multitask KS2 item template version 1.2 M004678 – 14 December 2016 1:54 PM – Version 5 F00070A0524

Page 6 of 24 This table shows the heights of three mountains. MountainHeight in metres Mount Everest 8,848 Mount Kilimanjaro 5,895 Ben Nevis 1,344 How much higher is Mount Everest than the combined height of the other two mountains? 2 marks Show your method m 4 6C4 Three Mountains KS2 item template version 1.2 M004847 – 14 December 2016 11:37 AM – Version 3 F00070A0624

Page 7 of 24 Complete this table with the missing numbers. 5 One row has been done for you. Number 1,000 more 3,500 4,500 85 9,099 15,250 2 marks 4N2b thousander KS2 item template version 2 M005631 – 14 December 2016 11:00 AM – Version 3 F00070A0724

Page 8 of 24 6 Write these numbers in order of size, starting with the smallest. 1.9 0.96 1.253 0.328 smallest 1 mark 5F8 Order Decimals KS2 item template version 1.2 M004839 – 9 January 2017 2:26 PM – Version 3 Write the missing numbers. 60 months = years 72 hours = days 84 days = weeks 7 2 marks 4M4c yonks KS2 item template version 1.2 M004747 – 14 December 2016 2:06 PM – Version 5 F00070A0824

Page 9 of 24 At the start of June, there were 1,793 toy cars in the shop. During June, • 8,728 more toy cars were delivered • 9,473 toy cars were sold. How many toy cars were left in the shop at the end of June? 2 marks Show your method 4C4 coupé 8 KS2 item template version 1.2 M004670 – 14 December 2016 11:39 AM – Version 7 F00070A0924

Page 10 of 24 Tick two shapes that have 3 4 shaded. 9 1 mark 4F2 tick shady KS2 item template version 1.2 M004695 – 26 October 2016 9:52 AM – Version 4 F00070A01024

Page 11 of 24 Round 84 ,516 to the nearest 10 to the nearest 100 to the nearest 1,000 10 2 marks 5N4 round KS2 item template version 1.2 M004655 – 26 October 2016 10:07 AM – Version 5 F00070A01124

Page 12 of 24 Here is a rule for the time it takes to cook a chicken. Cooking time = 20 minutes plus an extra 40 minutes for each kilogram How many minutes will it take to cook a 3 kg chicken? minutes What is the mass of a chicken that takes 100 minutes to cook? kg 11 1 mark 1 mark 6A2 4M4c chicklit KS2 item template version 1.2 M004737 – 26 October 2016 10:10 AM – Version 5 F00070A01224

Page 13 of 24 12 Here are diagrams of some 3-D shapes. Tick each shape that has the same number of faces as vertices. Cube Square-based pyramid Triangular prism Triangular-based pyramid 2 marks 6G2b 3D Shapes KS2 item template version 1.2 M004855 – 26 October 2016 10:28 AM – Version 6 F00070A01324

Page 14 of 24 Ally and Jack buy some stickers. 12 stickers 99p each Pack of 12 stickers £10.49 Ally buys a pack of 12 stickers for £10.49 Jack buys 12 single stickers for 99p each. How much more does Jack pay than Ally? 13 Show your method £ 2 marks 5M9a download KS2 item template version 1.2 M004769 – 14 December 2016 11:41 AM – Version 7 F00070A01424

Page 15 of 24 14 Amina planted some seeds. For every 3 seeds Amina planted, only 2 seeds grew. Altogether, 12 seeds grew. How many seeds did Amina plant? 1 mark KS2 item template version 2 M005834 – 26 October 2016 10:37 AM – Version 3 6R4 Seeds 15 At the end of a film, the year is given in Roman numerals. Write the year MMVI in figures. 1 mark 5N3b Film Year KS2 item template version 1.2 M004841 – 14 December 2016 2:10 PM – Version 3 F00070A01524

Page 16 of 24 16 Layla completes one-and-a-half somersaults in a dive. start finish How many degrees does Layla turn through in her dive? ° 1 mark KS2 item template version 1.2 M004840 – 9 January 2017 2:33 PM – Version 7 5G4b Rotation Angle F00070A01624

Page 17 of 24 The vertices of a quadrilateral have these coordinates. (1, 5) (5, 4) (1, −3) (−3, 4) One side of the quadrilateral has been drawn on the grid. Complete the quadrilateral. Use a ruler. y x 0 –1 –2 –3 –4 –5 –6 1 2 3 4 5 6 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 17 6P3 flying high 1 mark KS2 item template version 1.2 M004796 – 14 December 2016 2:16 PM – Version 6 F00070A01724

Page 18 of 24 A cat sleeps for 12 hours each day. 50% of its life is spent asleep. Write the missing percentage. A koala sleeps for 18 hours each day. % of its life is spent asleep. 1 mark 18 M003218 – 26 October 2016 11:14 AM – Version 3 KS2 item template version 1.1 6R2 Sleepyhead F00070A01824

Page 19 of 24 19 Amina posts three large letters. The postage costs the same for each letter. She pays with a £ 20 note. Her change is £14.96 What is the cost of posting one letter? 2 marks Show your method £ KS2 item template version 2 M005817 – 11 January 2017 8:16 AM – Version 5 6C8 Stamps F00070A01924

Page 20 of 24 Adam says, Explain why he is correct. 20 0.25 is smaller than 2 5 1 mark 6F11 Fifth sixth KS2 item template version 2 M005979 – 26 October 2016 11:36 AM – Version 3 F00070A02024

Page 21 of 24 On a map, 1cm represents 20 km. 0 20 40 60 80 100 kilometres The distance between two cities is 250 km. On the map, what is the distance between the two cities? 21 2 marks Show your method cm http://www.timeanddate.com/worldclock/distances.html?n=301 6R3 Maplin KS2 item template version 1.2 M004731 – 14 December 2016 11:44 AM – Version 3 F00070A02124

Page 22 of 24 22 Here are two similar right-angled triangles. b a Write the ratio of side a to side b. a : b = : 1 mark KS2 item template version 2 M005833 – 14 December 2016 3:07 PM – Version 4 6R3 Side ratio F00070A02224

Page 23 of 24 In this circle, 1 4 and 1 6 are shaded. What fraction of the whole circle is not shaded? 23 2 marks Show your method 6F4 circle line KS2 item template version 2 M005665 – 14 December 2016 11:46 AM – Version 4 F00070A02324

2017 key stage 2 mathematics Paper 2: reasoning Print version product code: STA/17/7737/p ISBN: 978-1-78644-276-5 Electronic PDF version product code: STA/17/7737/e ISBN: 978-1-78644-296-3 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 2017 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 ‘2017 key stage 2 tests copyright report’, for re-use of any third-party copyright content which we have identified in the test materia\ ls, 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 he\ lpline on 0300 303 3013 or email assessments@education.gov.uk. F00070A02424