[PDF] 2018 Key Stage 2 Year 6 - Mathematics Paper 3 Reasoning.pdf | Plain Text

G00080A0124 Mathematics Paper 3: reasoning First name Middle name Last name Date of birth Day Month Year School name DfE number 2018 national curriculum tests Key stage 2

Page 2 of 24 G00080A0224 [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. G00080A0324 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 The numbers in this sequence increase by the same amount each time. Write the missing numbers. 42 4963 1 2 marks 4N1 deep thought KS2 item template version 1.2 M004646 – 14 December 2017 4:47 PM – Version 3 G00080A0424

Page 5 of 24 Adam chooses the colours for a new team shirt. The shirt has two colours. There are four colours to choose from: yellow, blue, white and red . Write the two missing combinations. The shirt could be: • yellow and blue • yellow and white • yellow and red • blue and white. and and 2 1 mark KS2 item template version 2 M005690 – 14 December 2017 4:42 PM – Version 5 6A5 footiekit G00080A0524

Page 6 of 24 3 Here are four number cards. 2 3 4 7 Layla uses each card once to make a four-digit number. She places:• 4 in the tens column • 2 so that it has a higher value than any of the other digits • the remaining two digits so that 7 has the higher value. Write a digit in each box to show Layla’s number. 1 mark KS2 item arithmetic template version 2.1 (2017) M006632 – 17 October 2017 3:56 PM – Version 3 G00080A0624

Page 7 of 24 4 Write the three missing digits to make this addition correct. 5 3 2 9 7 4 2 0 7 6 + 6 2 marks KS2 item arithmetic template version 2.1 (2017) M006474 – 17 October 2017 4:10 PM – Version 3 5 Tick the numbers that are common factors of both 12 and 182 3 6 9 12 2 marks KS2 item arithmetic template version 2.1 (2017) M006487 – 17 October 2017 4:14 PM – Version 3 G00080A0724

Page 8 of 24 6 This chart shows the number of different types of big cat in a zoo. There are 20 big cats in the zoo altogether. tiger lion jaguar cheetah Here are some statements about the chart. Tick the statements that are true. There are more cheetahs than jaguars. The total number of lions and tigers is 10 One-quarter of the big cats are cheetahs. There are more than 5 jaguars. 2 marks KS2 item arithmetic template version 2.1 (2017) M006616 – 17 October 2017 4:19 PM – Version 3 G00080A0824

Page 9 of 24 7 A farmer is packing eggs. Each box holds six eggs. The farmer has 980 eggs to pack. How many boxes can the farmer fill using 980 eggs? full boxes How many eggs will be left over? left over 1 mark 1 mark 5C7b Packing eggs KS2 item template version 1.2 M004834 – 18 October 2017 3:48 PM – Version 7 G00080A0924

Page 10 of 24 Jack has £400 He spends 35% of his money on a new bike. How much does Jack spend on his new bike?£ 8 1 mark 6R2 spokesman KS2 item template version 2 M005680 – 18 October 2017 8:24 AM – Version 5 G00080A01024

Page 11 of 24 The Angel of the North is a large statue in England. It is 20 metres tall and 54 metres wide. Ally makes a scale model of the Angel of the North. Her model is 40 centimetres tall. How wide is her model? 1 mark cm 9 6R3 angel 54m 20m Not to scale KS2 item template version 1.2 M004729 – 14 December 2017 4:06 PM – Version 7 G00080A01124

Page 12 of 24 Layla draws a square on this coordinate grid. Three of the vertices are marked. y x 2 3 1 4 5 6 10–2–3–4–5–6 –1 –2 –3 –4 –5 –6 2 3 4 5 6 –1 What are the coordinates of the missing vertex? ( , ) 1 mark 10 KS2 item template version 2 M005722 – 18 October 2017 8:53 AM – Version 5 6P3 5G2a square one G00080A01224

Page 13 of 24 11 Stefan has 600 millilitres of water in a bottle. He pours some of the water into two measuring jugs as shown. 100 ml 200 ml100 ml 200 ml How many millilitres of water are left in Stefan’s bottle? 2 marks Show your method ml KS2 item arithmetic template version 2.1 (2017) M006748 – 18 October 2017 9:02 AM – Version 4 G00080A01324

Page 14 of 24 12 This table shows the areas of the United Kingdom and Jamaica. Country Area (square kilometres) United Kingdom 240,000 Jamaica 10,000 The area of the United Kingdom is larger than the area of Jamaica. How many times larger is the United Kingdom? 1 mark times larger 6N6 6N2 UK and Bahamas KS2 item template version 1.2 M004862 – 18 October 2017 10:50 AM – Version 4 G00080A01424

Page 15 of 24 13 A box contains 2.6 kg of washing powder. washing powder 2.6 kg Jack uses 65 grams of powder for each wash. He uses all the powder. How many washes did Jack do? 2 marks Show your method washes KS2 item arithmetic template version 2.1 (2017) M006581 – 18 October 2017 3:50 PM – Version 5 G00080A01524

Page 16 of 24 Two of the angles in a triangle are 70° and 40° Jack says, The triangle is equilateral. Explain why Jack is not correct. 1 mark 14 KS2 item template version 2 M005714 – 13 December 2017 11:21 AM – Version 4 6G4a 4G2a twangle equil G00080A01624

Page 17 of 24 A shop prints designs on T-shirts. They use this formula to work out the price for printing a design. price = 60p × number of colours + £1.25 What is the price for printing a design that has 3 colours in it? £ Amina has £5 to spend on printing a design. What is the greatest number of colours she can have in the design? 2 marks 15 1 mark Show your method colours KS2 item template version 2 M005687 – 18 October 2017 3:51 PM – Version 7 6A2 shirty G00080A01724

Page 18 of 24 16 A book has 276 pages. Amina has read 1 3 of the book. How many pages are left for Amina to read? 2 marks Show your method pages KS2 item arithmetic template version 2.1 (2017) M006716 – 18 October 2017 10:46 AM – Version 3 G00080A01824

Page 19 of 24 17 On a dice, the sum of the dots on opposite faces is always 7 Draw dots on the three empty faces of the net so that it could fold up to make a dice. 1 mark M004082 – 17 October 2017 3:29 PM – Version 6 KS2 item template version 1.1 5G3b 6G3b dicey G00080A01924

Page 20 of 24 18 This is a diagram of a vegetable garden. It shows the fractions of the garden planted with potatoes and cabbages. carrots cabbages 1 4 potatoes 2 3 Not to scale The remaining area is planted with carrots. What fraction of the garden is planted with carrots? 2 marks Show your method KS2 item arithmetic template version 2.1 (2017) M006694 – 18 October 2017 10:18 AM – Version 3 G00080A02024

Page 21 of 24 19 33,630 = 354 × 95 Use this multiplication to complete the calculations below. 354 × 9.5 = 3,540 × 95 = 3,363 } 95 = 2 marks 6C7a 5C6b Derivation KS2 item template version 2.1 (2017) M006376 – 18 October 2017 10:25 AM – Version 3 G00080A02124

Page 22 of 24 20 In March, Ken collects 2, 3 or 4 eggs each day from his hens. In the first 20 days, Ken collects 57 eggs altogether. There are 31 days in March. What is the greatest number of eggs Ken can collect in March? 2 marks Show your method eggs KS2 item arithmetic template version 2.1 (2017) M006503 – 18 October 2017 10:33 AM – Version 2 G00080A02224

Page 23 of 24 Jack finished a sponsored run in 53 minutes 25 seconds. Ally finished 3 minutes 50 seconds after Jack. How long did Ally take? min sec Layla finished the run 8 minutes 45 seconds before Jack. How long did Layla take? 1 mark min sec 21 1 mark 5M4 crispwalkers KS2 item template version 1.2 M004749 – 18 October 2017 3:53 PM – Version 5 G00080A02324

2018 key stage 2 mathematics Paper 3: reasoning Print version product code: STA/18/7975/p ISBN: 978-1-78644-628-2 Electronic PDF version product code: STA/18/7975/e ISBN: 978-1-78644-648-0 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. G00080A02424