[PDF] 2017 Key Stage 2 Year 6 - Mathematics Paper 3 Reasoning.pdf | Plain Text

F00080A0124 Mathematics Paper 3: reasoning First name Middle name Last name Date of birth Day Month Year School name DfE number 2017 national curriculum tests Key stage 2

Page 2 of 24 F00080A0224 [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. F00080A0324 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 1 Write the missing number to make this division correct. 75 ÷ = 7.5 1 mark 4F9 Dividing by 10 KS2 item template version 2 M005822 – 26 October 2016 12:13 PM – Version 2 2 A group of friends earns £80 by washing cars. They share the money equally. They get £16 each. How many friends are in the group? 1 mark KS2 item template version 2 M005808 – 26 October 2016 12:15 PM – Version 1 3C8 Car wash F00080A0424

Page 5 of 24 Chen uses these digit cards. 5 6 9 She makes a 2-digit number and a 1-digit number. She multiplies them together. Her answer is a multiple of 10 What could Chen’s multiplication be? × 3 1 mark KS2 item template version 2 M005655 – 26 October 2016 12:17 PM – Version 5 4C8 multest F00080A0524

Page 6 of 24 4 This graph shows the temperature in °C from 2 am to 3 pm on a cold day. –6 –5 –4 –3 –20 1 2 3 4 5 6 7 8 –1 2 am 3 am 4 am 5 am 6 am 7 am 8 am 9 am 10 am 11 am 12 pm 1 pm 2 pm 3 pm 4 pm 5 pm 6 pm 7 pm Temperature in °C Time of day How many degrees warmer was it at 3 pm than at 3 am? °C At 6 pm the temperature was 4 degrees lower than at 3 pm. What was the temperature at 6 pm?°C 1 mark 1 mark 6N5 6S1 Cold day KS2 item template version 2 M005805 – 26 October 2016 12:21 PM – Version 5 F00080A0624

Page 7 of 24 The children at Farmfield School are collecting money for charity. Their target is to collect £360 So far they have collected £57.73 How much more money do they need to reach their target? £ 5 1 mark 3M9a battersea KS2 item template version 2 M005704 – 26 October 2016 12:23 PM – Version 4 F00080A0724

Page 8 of 24 6 William wants to travel to Paris by train. He needs to arrive in Paris by 5:30 pm. Circle the latest time that William can leave London. Leaves London Arrives Paris 12:01 15:22 12:25 15:56 13:31 16:53 14:01 17:26 14:31 17:53 15:31 18:53 16:01 19:20 1 mark KS2 item template version 2 M005861 – 14 December 2016 2:36 PM – Version 5 5S1 4M4b Travel to Paris F00080A0824

Page 9 of 24 X Here is a triangle drawn on a coordinate grid. y x 6 5 4 3 2 1 0 _ 1 _ 2 _ 3 _ 4 _ 5 _ 6 _5 _ 6 _ 4 _ 3 _ 2 _ 1 1 2 3 4 5 6 0 The triangle is translated 7 right and 5 up. Draw the triangle in its new position. 7 1 mark 6P2 Sandwich spread KS2 item template version 1.2 M004793 – 9 January 2017 11:49 AM – Version 3 F00080A0924

Page 10 of 24 Write three factors of 30 that are not factors of 15 8 2 marks 6C5 factory KS2 item template version 1.2 M004675 – 26 October 2016 12:29 PM – Version 3 9 Here is the morning timetable for Chen’s class this week. Time MonTu eWed Thu Fri 9:00 am–10:30 am Maths English Maths English Maths 10:30 am–11:00 am Break Break Break Break Break 11:00 am–12:00 pm English Maths Science Maths English What is the total number of hours for English on this timetable? hours 1 mark KS2 item template version 2 M005860 – 26 October 2016 12:32 PM – Version 4 5S1 School timetable F00080A01024

Page 11 of 24 A bottle contains 568 millilitres of milk. Jack pours out half a litre. Milk How much milk is left? 10 1 mark 4M5 4M9 milk-ho KS2 item template version 1.2 M004751 – 9 January 2017 12:02 PM – Version 4 A bicycle wheel has a diameter of 64 cm. What is the radius of the bicycle wheel? cm 1 mark 11 6G5 Bicycle Wheel KS2 item template version 1.2 M004856 – 26 October 2016 12:38 PM – Version 3 F00080A01124

Page 12 of 24 24 white balloons12 red balloons 24 12 Adam buys 6 bags of white balloons. Chen buys 3 bags of red balloons. Adam says, ‘I have four times as many balloons as Chen.’ Explain why Adam is correct. 1 mark 4C8 blowup 12 KS2 item template version 1.2 M004685 – 26 October 2016 12:41 PM – Version 5 F00080A01224

Page 13 of 24 13 Circle the pentagon with exactly four acute angles. 1 mark KS2 item template version 2 M005850 – 26 October 2016 12:43 PM – Version 4 6G3a 4G4 Drawing shapes F00080A01324

Page 14 of 24 3 pineapples cost the same as 2 mangoes. One mango costs £1.35 How much does one pineapple cost? 14 Show your method £ 2 marks 6R1 5M9a tropical KS2 item template version 2 M005677 – 22 November 2016 12:27 PM – Version 6 F00080A01424

Page 15 of 24 Look at the letters below. Circle the letter below that has both parallel and perpendicular lines. A C E L Z 15 1 mark 3G2 Clean KS2 item template version 1.2 M004773 – 31 October 2016 9:59 AM – Version 3 F00080A01524

Page 16 of 24 There are 2,400 leaflets in a box. William and Ally take 450 leaflets each. Adam and Chen share the rest of the leaflets equally. How many leaflets does Adam get? 16 Show your method 2 marks 5C8b leafmould KS2 item template version 2 M005657 – 22 November 2016 12:29 PM – Version 4 F00080A01624

Page 17 of 24 In each box, circle the number that is greater. 1 2 11. 2 1 4 11. 3 5 100 1 1. 4 3 5 11. 5 17 2 marks 6F11 boxofmatches KS2 item template version 2 M005675 – 10 November 2016 10:07 AM – Version 4 F00080A01724

Page 18 of 24 A square number and a prime number have a total of 22 What are the two numbers? += 22 square number prime number 18 1 mark 5C5c 5C5d 6A4 primesquare KS2 item template version 1.2 M004671 – 9 January 2017 1:00 PM – Version 4 Dev thinks of a whole number. He multiplies it by 4 He rounds his answer to the nearest 10 The result is 50 Write all the possible numbers that Dev could have started with. 19 2 marks 4N6 4N4b newsround KS2 item template version 2 M005640 – 26 October 2016 1:00 PM – Version 3 F00080A01824

Page 19 of 24 A square tile measures 20 cm by 20 cm. A rectangular tile is 3 cm longer and 2 cm narrower than the square tile. What is the difference in area between the two tiles? 20 Show your method cm 2 3 marks 5M9b 5C7a long tall ally KS2 item template version 2 M005705 – 9 January 2017 1:03 PM – Version 4 F00080A01924

Page 20 of 24 The numbers in this sequence increase by the same amount each time. Write the missing numbers. 1 5 8 1 2 1 4 21 1 mark 6F4 6A3 Fracstep 1 mark KS2 item template version 1.2 M004700 – 14 December 2016 2:40 PM – Version 3 F00080A02024

Page 21 of 24 In this diagram, the shaded rectangles are all of equal width ( w). 34 cm 18 cm 9 cm w w w Not to scale Calculate the width ( w) of one shaded rectangle. Show your method cm 2 marks 22 M003210 – 22 November 2016 12:35 PM – Version 5 KS2 item template version 1.1 6A1 gappy F00080A02124

Page 22 of 24 23 Here is a pattern of number pairs. a b 1 9 2 19 3 29 4 39 Complete the rule for the number pattern. b = × a – 1 mark KS2 item template version 2 M005836 – 21 November 2016 9:42 AM – Version 2 6A4 Complete the rule F00080A02224

Page 23 of 24 24 Cube A and cuboid B have the same volume. A 6 cm B ? 6 cm 4 cm Not to scale Calculate the missing length on cuboid B. Show your method cm 2 marks KS2 item template version 2 M005977 – 21 November 2016 9:52 AM – Version 4 6M8b, 6R1 Cuboid match F00080A02324

2017 key stage 2 mathematics Paper 3: reasoning Print version product code: STA/17/7738/p ISBN: 978-1-78644-277-2 Electronic PDF version product code: STA/17/7738/e ISBN: 978-1-78644-297-0 For more copies Additional printed copies of this booklet are not available. It can be downloaded from www.gov.uk/government/publications. © Crown copyright 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. F00080A02424