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Reasoning and Problem Solving (Year 3) - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDFJump to mark scheme (page 5)Reasoning and Problem Solving (Year 3) revision guide

This topic is chapter 2 of KS2 Maths: Number and place value Practice Book.

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KS2 · Reasoning and Problem Solving

1.6 Reasoning and Problem Solving (Year 3)

Calculators not allowed · about 45 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write the answer to 145 + 27.
(1)
2
A rope is 1 m 25 cm long and another rope is 75 cm long. What is their total length in centimetres?
(2)
3
Here are two numbers: 204 and 240. Explain which number is greater and say why using place value language.
(2)
4
A teacher puts 24 counters into 6 equal groups to make classroom games. After that she makes 4 piles of counters with the same number in each pile using all the counters. How many counters are in each of the 4 piles?
(3)
5
Complete the pattern: 5, 10, 15, ?, 25
(1)
6
A bottle holds 1 litre of water. How many millilitres are in 1 litre and 250 millilitres?
(2)
7
A rectangle has length 9 cm and width 4 cm. What is the perimeter of the rectangle?
(2)
8
A small chart shows how many books each child read last week: Amy 3, Ben 5, Chi 2, Dev 5. Explain how many more books Ben read than Chi and show your working.
(2)
9
There are 45 children in three classes. Each class has the same number of children. How many children are in each class? Then one child moves schools, so one class now has one fewer child. How many children are in that class now?
(3)
10
Stretch question. Priya has three boxes. Each box holds 8 toy cars. She wants to share all the toy cars equally between 5 children. What is the maximum whole number of cars each child can get and how many cars will be left over? Show your working.
(4)
11
Write the answer to 302 - 89.
(1)
12
Amelia has 12 red pens and 8 blue pens. She buys 3 more packs of red pens with 4 pens in each pack. How many pens does she have now?
(2)
13
Complete the missing number: 70 - ? = 28
(1)
14
The bus leaves at 09:15 and the journey takes 1 hour 25 minutes. What time does the bus arrive?
(2)
15
Work out 6 x 4.
(1)
16
Yusuf shares 18 stickers equally between 3 friends. How many stickers does each friend get? Show your method.
(2)
17
What is 1/4 of 28?
(1)
18
Oliwia buys a sandwich for 95p and a drink for 60p. She pays with a £2 coin. How much change should she get?
(2)
Mark scheme · 1.6 Reasoning and Problem Solving (Year 3)

Question 1

  • B1 172 cao
  • Answer: 172

Question 2

  • M1 Correct conversion of 1 m 25 cm to 125 cm and addition shown
  • B1 200 cm cao
  • Answer: 200 cm

Question 3

  • M1 Mention of hundreds, tens or ones to compare, e.g. both have 2 hundreds but 240 has more tens
  • B1 Correct conclusion that 240 is greater (240 > 204) cao
  • Answer: 240

Question 4

  • M1 Recognise initial grouping gives 24 counters (24 = 6 x 4) or equivalent
  • M1 Correct division to change grouping, e.g. 24 ÷ 4 shown
  • B1 6 cao
  • Answer: 6

Question 5

  • B1 20 cao
  • Answer: 20

Question 6

  • M1 Correct conversion of 1 litre to 1000 ml and addition shown
  • B1 1250 ml cao
  • Answer: 1250 ml

Question 7

  • M1 Correct addition or method shown, e.g. 2 x (9 + 4) or 9 + 9 + 4 + 4
  • B1 26 cm cao
  • Answer: 26 cm

Question 8

  • M1 Correct subtraction shown, e.g. 5 - 2 = 3 or equivalent reasoning
  • B1 3 books cao
  • Answer: 3

Question 9

  • M1 Correct division 45 ÷ 3 = 15 or equivalent shown
  • M1 Recognition of subtraction 15 - 1 = 14 or equivalent shown
  • B1 Answers 15 and 14 cao
  • Answer: 15 and 14

Question 10

  • M1 Correct total cars calculated, e.g. 3 x 8 = 24
  • M1 Correct division 24 ÷ 5 shown with whole number and remainder
  • M1 Correct identification of whole number per child, e.g. 4 each
  • B1 Remainder stated: 4 cars left over cao
  • Answer: 4 each, 4 left over

Question 11

  • B1 213 cao
  • Answer: 213

Question 12

  • M1 Correct method seen: 3 x 4 = 12 or equivalent
  • B1 32 pens cao
  • Answer: 32

Question 13

  • B1 42 cao
  • Answer: 42

Question 14

  • M1 Correct addition of hours and minutes, e.g. 09:15 + 1:25 shown
  • B1 10:40 cao
  • Answer: 10:40

Question 15

  • B1 24 cao
  • Answer: 24

Question 16

  • M1 Correct division or grouping shown, e.g. 18 ÷ 3 = 6 or 3 groups of 6
  • B1 6 cao
  • Answer: 6

Question 17

  • B1 7 cao
  • Answer: 7

Question 18

  • M1 Correct total cost calculated, e.g. 95p + 60p = 155p or £1.55
  • B1 45p cao
  • Answer: 45p

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Question 5

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Question 7

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Question 8

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Question 9

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Question 10

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Question 11

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Question 12

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Question 13

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Question 14

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Question 15

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Question 16

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Question 17

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