[PDF] 2018 Key Stage 2 Year 6 - Mathematics Paper 2 Reasoning.pdf | Plain Text

G00070A0124 Mathematics Paper 2: reasoning First name Middle name Last name Date of birthDay Month Year School name DfE number 2018 national curriculum tests Key stage 2

Page 2 of 24 G00070A0224 [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 nish before the end, go back and check your work. G00070A0324 Marks The number under each line at the side of the page tells you the number of marks available for each question. Instructions You must not use a calculator to answer any questions in this test.

Page 4 of 24 1 Here is a shape on a grid. Complete the design so that it is symmetrical about the mirror line. Use a ruler. mirror line 1 mark M003901 – 17 October 2017 4:46 PM – Version 8 KS2 item template version 1.1 4G2c symsha G00070A0424

Page 5 of 24 Stefan completes this calculation. 9 5 – 6 7 2 8 Write an addition calculation he could use to check his answer. + 1 mark 2 3C3 3C2 Using Inverses KS2 item template version 1.2 M004803 – 17 October 2017 3:07 PM – Version 4 G00070A0524

Page 6 of 24 On the line below, mark the point that is 6.7 centimetres from A. A 1 mark KS2 item template version 1.1 3 M003687 – 17 October 2017 4:47 PM – Version 3 3M2a ontheline 4 These diagrams show three equivalent fractions. = ==== = == Write the missing values. 3 4 = 9 = 24 1 mark KS2 item arithmetic template version 2.1 (2017) M006512 – 17 October 2017 4:50 PM – Version 3 G00070A0624

Page 7 of 24 Here are the temperatures in four cities at midnight and at midday. Temperature City At midnight At midday Paris −4 ˚C−2 ˚C Oslo −13 ˚C −7 ˚C Rome 3 ˚C10 ˚C Warsaw −6 ˚C 2 ˚C At midnight, how many degrees colder was Paris than Rome? Which city was 6 degrees colder at midnight than at midday? degrees 1 mark 1 mark 6N5 5S1 brrrrrr 5 KS2 item template version 1.2 M004659 – 17 October 2017 3:32 PM – Version 5 G00070A0724

Page 8 of 24 The numbers in this sequence decrease by the same amount each time. 303,604 302,604 301,604 300,604 … What is the next number in the sequence? 1 mark 6 M003994 – 17 October 2017 4:53 PM – Version 5 KS2 item template version 1.1 5N1 countback Tick the two numbers that are equivalent to 1 4 Tick two. 0.25 0.75 25 100 0.5 2 5 1 mark 7 KS2 item template version 1.2 M004704 – 17 October 2017 3:45 PM – Version 4 4F6a 4F6b threequarts G00070A0824

Page 9 of 24 8 Ken buys 3 large boxes and 2 small boxes of chocolates. Each large box has 48 chocolates. Each small box has 24 chocolates. Large48 chocolates Small 24 chocolates How many chocolates did Ken buy altogether? Show your method chocolates 2 marks KS2 item arithmetic template version 2.1 (2017) M006662 – 3 November 2017 4:19 PM – Version 3 G00070A0924

Page 10 of 24 The list below shows the years in which the Cricket World Cup was held since 1992: 1992, 1996, 1999, 2003, 2007, 2011, 2015 Adam says, The Cricket World Cup has been held every four years since 1992. Adam is not correct. Explain how you know. 1 mark 9 KS2 item arithmetic template version 2.1 (2017) M006460 – 17 October 2017 5:00 PM – Version 4 G00070A01024

Page 11 of 24 10 > = < Write the correct symbol in each box to make the statements correct. 11 × 12 15 × 10 90 } 30 60 } 20 120 } 4 160 } 8 30 × 8 100 × 10 2 marks 6C6 Calcorder KS2 item template version 2.1 (2017) M006375 – 17 October 2017 3:56 PM – Version 2 G00070A01124

Page 12 of 24 11 Here is a drawing of a 3-D shape. Complete the table. Number of faces Number of vertices Number of edges 2 marks M006782 – 17 October 2017 5:01 PM – Version 1 KS2 item arithmetic template version 2.1 (2017) G00070A01224

Page 13 of 24 12 Here is a shape on a grid. The shape is translated so that point A moves to (7, 8). Draw the shape in its new position. Use a ruler. x y 1102 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 A (3, 5) 1 mark KS2 item arithmetic template version 2.1 (2017) M006792 – 17 October 2017 5:02 PM – Version 4 G00070A01324

Page 14 of 24 Circle the improper fraction that is equivalent to 6 7 8 13 67 8 488 628 558 768 1 mark 5F2a mixed up 678 KS2 item template version 2 M005660 – 17 October 2017 4:05 PM – Version 4 14 6 5 3 5 3 4 Write these fractions in order, starting with the smallest. smallest 1 mark 6F3 6F2 Ordering fractions KS2 item template version 2 M005829 – 17 October 2017 4:06 PM – Version 4 G00070A01424

Page 15 of 24 15 A box contains trays of melons. There are 15 melons in a tray. There are 3 trays in a box. A supermarket sells 40 boxes of melons. How many melons does the supermarket sell? Show your method melons 2 marks M003925 – 17 October 2017 5:04 PM – Version 7 KS2 item template version 1.1 5C8 6C7b melony G00070A01524

Page 16 of 24 16 Adam wants to use a mental method to calculate 182 – 97 He starts from 182 Here are some methods that Adam could use. Tick the methods that are correct. add 3 then subtract 90 subtract 100 then add 3 subtract 7 then subtract 90 subtract 3 then subtract 100 2 marks KS2 item arithmetic template version 2.1 (2017) M006472 – 17 October 2017 4:18 PM – Version 2 G00070A01624

Page 17 of 24 17 There are 28 pupils in a class. The teacher has 8 litres of orange juice. She pours 225 millilitres of orange juice for every pupil. How much orange juice is left over? Show your method 3 marks KS2 item arithmetic template version 2.1 (2017) M006595 – 17 October 2017 5:06 PM – Version 3 G00070A01724

Page 18 of 24 Last year, Jacob went to four concerts. Three of his tickets cost £5 each. CONCERT ADMITS ONE PERSON CONCERT ADMITS ONE PERSON CONCERT ADMITS ONE PERSON The other ticket cost £7 CONCERT ADMITS ONE PERSON What was the mean cost of the tickets? 18 Show your method £ 2 marks 6S3 Concerto KS2 item template version 1.2 M004802 – 17 October 2017 5:08 PM – Version 3 G00070A01824

Page 19 of 24 19 Layla wants to estimate the answer to this calculation. 3 9 10  2 1 8 + 1 4 5 Tick the calculation below that is the best estimate. Tick one. 3 – 2 + 2 4 – 2 + 1 4 – 2 + 2 3 – 2 + 1 1 mark KS2 item arithmetic template version 2.1 (2017) M006478 – 17 October 2017 4:27 PM – Version 2 G00070A01924

Page 20 of 24 20 The length of an alligator can be estimated by: • measuring the distance from its eyes to its nose • then multiplying that distance by 12 What is the difference in the estimated lengths of these two alligators? Not to scale 17.5 cm15 cm Show your method cm 2 marks KS2 item arithmetic template version 2.1 (2017) M006728 – 17 October 2017 5:09 PM – Version 4 G00070A02024

Page 21 of 24 21 Amina is making designs with two different shapes. She gives each shape a value. Total value is 147Total value is 111 Calculate the value of each shape. Total value is 147Total value is 111 = Total value is 147Total value is 111 = 1 mark 1 mark 6A4, 6A1 shape values KS2 item template version 2.1 (2017) M006071 – 17 October 2017 5:10 PM – Version 2 G00070A02124

Page 22 of 24 22 This is the net of a cube. 20 cmNot actual size What is the volume of the cube? cm 3 1 mark KS2 item arithmetic template version 2.1 (2017) M006765 – 17 October 2017 5:11 PM – Version 1 G00070A02224

Page 23 of 24 23 The length of a day on Earth is 24 hours. The length of a day on Mercury is 58 2 3 times the length of a day onEarth. What is the length of a day on Mercury, in hours? Show your method hours 2 marks KS2 item arithmetic template version 2.1 (2017) M006531 – 17 October 2017 4:51 PM – Version 3 G00070A02324

2018 key stage 2 mathematics Paper 2: reasoning Print version product code: STA/18/7974/p ISBN: 978-1-78644-627-5 Electronic PDF version product code: STA/18/7974/e ISBN: 978-1-78644-647-3 For more copies Additional printed copies of this booklet are not available. It can be downloaded from www.gov.uk/government/publications. © Crown copyright 2018 Re-use of Crown copyright in test materials Subject to the exceptions listed below, the test materials on this website are Crown copyright 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: ‘Co\ ntains material developed by the Standards and Testing Agency for 2018 national curriculum assessments and licensed unde\ r 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 ‘2018 key stage 2 tests copyright report’, for re-use of any third-party copyright content which we have identi ed 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 h\ elpline on 0300 303 3013 or email assessments@education.gov.uk. G00070A02424