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Reasoning and Problem Solving Step 5: Multi-Step Problems National Curriculum Objectives: Mathematics Year 5: (5C4) Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why Differentiation: Questions 1, 4 and 7 (Problem Solving) DevelopingSolve a multi-step word problem involving numbers up to 3 digits. Limited exchange and use of visual representations. ExpectedSolve a multi-step word problem involving numbers up to 4 digits. Includes exchange and some visual representations/word problems in context. Greater Depth Solve a multi-step word problem involving numbers up to 4 digits. Word problems in context and some numbers to be retrieved from tables. Questions 2, 5 and 8 (Reasoning) DevelopingExplain the answer to a multi-step word problem involving numbers up to 3- digits. Limited exchange and use of visual representations. ExpectedExplain the answer to a multi-step word problem involving numbers up to 4- digits. Includes exchange and some visual representation. Greater Depth Explain the answer to a multi-step word problem involving numbers up to 4- digits. Includes exchange, knowledge of doubling and halving, and word problems in context. Questions 3, 6 and 9 (Problem Solving) DevelopingWrite and solve a word problem for a given context based on a multi-step calculation involving numbers up to 3-digits. Limited exchange and use of visual representation. ExpectedWrite and solve a word problem for a given context based on a multi-step calculation involving numbers up to 4-digits. Greater Depth Write and solve a word problem for a given context based on a multi-step calculation involving numbers up to 4-digits. Information to be retrieved from charts and graphs in context. More Year 5 Addition and Subtraction resources. Did you like this resource? Don’t forget to review it on our website. © Classroom Secrets Limited 2018 classroomsecrets.co.uk Reasoning and Problem Solving – Multi-Step Problems – Teaching Information Multi-Step Problems Multi-Step Problems 1a. Tree A is 378m tall. 1b. A school orders 455 maths books. Tree B is 253m shorter than tree A. They order 258 fewer English books than maths books, and 86 more art books than Tree C is 73m taller than tree A. English books. 378m A – 253m A + 73m Maths English Art Tree A Tree B Tree C 455 Maths – 258 English + 86 What is the total height of the trees? How many books are ordered in total? D PS D PS 2a. There are 500 marbles in a pack. 2b. Eric has 723 stamps in his collection 100 100 100 100 100 100 100 100 100 100 100 100 10 10 1 1 1 Box A has 141 marbles. Box C has 152 Book A has 423 stamps in. Book B has 225 more than box A. fewer than book A. H T O H T O H T O H T O + ? – ? Box A Box B Box C Book A Book B Book C How many marbles are in box B? How many stamps are in book C? Convince me. Convince me. D R D R 3a. Write a word problem to go with the 3b. Write a word problem to go with the following calculation. following calculation. 225g + 334g – = 414g 512cm – + 123cm = 317cm 100 10 100 10 100 100 100 10 100 10 100 10 100 10 100 10 100 10 100 1 1 10 100 1 1 1 100 10 100 100 1 1 1 100 1 1 1 1 1 1 1 100 1 1 1 1 1 1 1 100 1 1 Solve your word problem. Solve your word problem. 1 D PS D PS © Classroom Secrets Limited 2018 classroomsecrets.co.uk Reasoning and Problem Solving – Multi-Step Problems – Year 5 Developing Multi-Step Problems Multi-Step Problems 4a. A charity want to raise £9,559. 4b. A warehouse is receiving a bulk shipment of pet food. They raise £4,522 in the first month. 6,016 of the tins are dog food. They raise two thousand, six hundred and twenty-five pounds less in the second They receive 4,634 fewer tins of cat food month. than dog food. In the third month, they raise £1,540 more They receive 1,020 more tins of fish food than what they raised in the second than cat food. month. How many tins of pet food do they Does the charity reach their goal? receive in total? E PS E PS 5a. Jack is organising his sticker 5b. There are 4,498 counters in one bulk collection. He has 9,292 stickers in total. bag. Box A has 4,906 stickers. Box C has 1,208 Box A holds 1,197 counters. Box B holds fewer stickers than box A. 586 more counters than box A. A B C A B C 4,906 1,197 How many stickers are in box B? How many counters are in box C? Convince me. Convince me. E R E R 6a. Write a word problem to go with the 6b. Write a word problem to go with the following calculation. following calculation. 7,886ml–4,392ml+ ml =6,399ml £6,688 + £2,501 – £ = £7,626 Solve your word problem. Solve your word problem. E PS E PS © Classroom Secrets Limited 2018 classroomsecrets.co.uk Reasoning and Problem Solving – Multi-Step Problems – Year 5 Expected Multi-Step Problems Multi-Step Problems 7a. A printing company are recording 7b. Jet Air are tracking the number of their quarterly sales. They want to print bookings made year on year to measure 8,500 flyers in this quarter. the company’s growth. In January, they printed 2,264 flyers. Year Number of bookings In February, they printed half the amount 2016 2,267 printed in January. 2017 Up 2,796 In March, they printed 234 more than 2018 Down 2,978 January and February combined. Have they met their goal for this quarter? How many bookings were made in each year and in total? GD PS GD PS 8a. 4,432 buttons are made in three hours. 8b. Three boxes hold 9,567 elastic bands It takes six hours to make enough buttons altogether. When box C has been filled to fill three boxes. there are 6,909 elastic bands left. When Box B has been filled, there are Box A has twice as many elastic bands as 3,363 buttons remaining. Box C holds half box B. the amount of buttons as Box A. A B C A B C How many more are there in box A than How many more are there in Box C than box C? Box B? GD R GD R 9a. These are the items in a school 9b. These are the results of a traffic survey. stationery cupboard. Write a word Use the information to write a word problem using the information from the problem. It must have at least two steps table. It must have at least two steps and and the answer must be a 4-digit number. the answer must be a 4-digit number. Item Number Pens 2,764 Pencils Rulers 2,009 Total 8,672 Solve your word problem. Solve your word problem. GD PS GD PS © Classroom Secrets Limited 2018 classroomsecrets.co.uk Reasoning and Problem Solving – Multi-Step Problems – Year 5 Greater Depth
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