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Word problems for Year 4 play an important role in Year 4 maths. In Year 4, the main focus is to ensure that pupils are becoming more fluent with whole numbers and the four operations. Students work to develop efficient written methods and to be accurate with their calculations. Pupils in Year 4 are exposed to a wider range of problem-solving questions and progress from one to two-step problems.
It is important that all children are given regular opportunities to access reasoning and word problem style questions. Fluency, reasoning and problem solving should be intertwined through every lesson, with all children having the opportunity to tackle each of these question types.
All Kinds of Word Problems Multiplication
Strengthen your students' problem solving and multiplication skills with this pack of multiplication word problems
Addition and subtraction , multiplication and division, fractions, decimals and percentages, measurement, why are word problems important in year 4 maths, how to teach problem solving in year 4, addition word problems for year 4, subtraction word problems for year 4, multiplication word problems for year 4, division word problems for year 4, fraction and decimal word problems in year 4, time word problems in year 4, multi-step word problems in year 4., more primary word problems resources.
There can sometimes be a tendency for reasoning and problem solving questions to be treated as extension activities for only the higher attaining pupils to attempt, but children of all abilities need to be accessing them on a regular basis.
To help you with this, we have put together a collection of 20 word problems aimed at Year 4 pupils. For more Year 4 maths resources, take a look at our collection of Year 4 maths worksheets .
In Year 4, pupils progress from solving one-step problems, to also being exposed to two-step problems across a range of topics, as set out in the National Curriculum.
Solve word problems involving counting in multiples of 6,7,9, 25 and 100; finding 1000 more or less than a given number; counting backwards through 0 to include negative numbers; ordering and comparing numbers beyond 1000 and rounding numbers to the nearest 10. 100 and 1000
Solve addition and subtraction word problems with up to 4 digits, including two-step word problems, deciding which operations and methods to use and why.
Solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems.
Solve problems involving increasingly harder fractions word problems to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number. Also Solve simple measure and money problems involving fractions and decimals to 2 decimal places.
Solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days.
Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.
Word problems are increasingly important as pupils move through Key Stage 2. As they become more confident with some of the core concepts pupils need to be applying this knowledge to a range of situations. By the end of Year 4, pupils should have memorised their multiplication tables up to and including the 12 times table and should be showing precision and fluency in their work.
Word problems in Year 4 should be fun and engaging for students. There are many ways to do this, including:
Children need to be encouraged to read word problem questions carefully, to ensure they have identified the key information needed to be able to solve the problem. Pupils need to think about what they already know and how that information can help them to answer the question. They should also be encouraged to draw pictures and visual images, where appropriate, to help them to understand what the question is asking.
Here is an example:
A shop has an 8m roll of fabric.
The first customer buys 125cm of fabric and the second customer buys 3m from the same roll.
How much fabric is left on the roll, once the two customers have taken theirs?
How to solve:
What do you already know?
How can this be drawn/represented pictorially?
We can draw a bar model to represent this problem:
In Year 4, addition word problems involve questions up to 4-digit numbers. They can include one and two-step addition and incorporate a range of concepts, such as measures and money word problems
It is 4164 miles to travel from London to Doha and 3266 miles to travel from Doha to Bangkok.
How far is it to travel from London to Bangkok, if the flight stops in Doha first?
Answer (1 mark): 7430 miles
Fill in the missing numbers in this calculation.
Answer (1 mark): 6840
On Saturday, 5486 fans attended a football game and 3748 fans attended a rugby game.
How many fans watched the two games in total?
Answer (1 mark): 9234
Subtraction word problems in Year 4, also involve numbers up to 4-digits, including both one and two-step problems, covering a range of concepts. By this stage, children should be confident in estimating and using the inverse, to check calculations.
3241 people visited the zoo on Saturday.
On Sunday 2876 people visited.
How many more people visited the lake on Saturday than on Sunday?
Answer (1 mark): 365
3241 – 2876 = 365
A teacher prints out 1242 worksheets in a term.
If 435 were maths worksheets, how many did she print out for the other subjects?
Answer (1 mark): 807
The temperature in Toronto dropped to minus 15 degrees celcius in December.
In July the temperature was 47 degrees celsius warmer than it was in December. What was the temperature in July?
Answer (1 mark): 32 degrees warmer
47 – 15 degrees = 32 degrees celsius
Counting on 47 degrees from minus 15 degrees = 32 degrees celsius
In Year 4, multiplication word problems can include recalling facts for times tables up to 12 x 12 and multiplying two and three-digit numbers by a 1-digit number, using formal written layout.
All the pupils in Year 4 complete a mental maths test.
27 pupils score 9 marks out of 10.
What is the total number of marks scored by the 27 pupils?
Answer (1 mark): 243
27 x 9 = 243
Year 3 and 4 children from a local primary school go on a school trip.
Six mini buses are used to transport the children.
There are 17 children on each minibus.
How many children go on the school trip?
Answer (1 mark): 102
17 x 6 = 102 children
Biscuits come in packs of 18.
Mrs Smith buys 8 packs for the parents at the Y4 maths workshop.
How many biscuits does she buy altogether?
Answer (1 mark): 144 biscuits
Division word problems in year 4 require pupils to be able to recall division facts for multiplication tables up to 12 x 12. Formal written method of division isn’t a requirement until Year 5 however, many schools choose to teach the formal method in Year 4. Pupils need to understand the concept of grouping and sharing and to understand the link between multiplication & division.
Sam has 28 friends coming to his birthday party.
Each child will receive a cupcake, which come in packs of 4.
How many packs of cupcakes will Sam need to buy?
Answer (1 mark): 7 packs
28 ÷ 4 = 7
4 children raised £96 between them on a sponsored walk.
If they split the money evenly between the four of them, how much did each pupil raise?
Answer (1 mark): £24 each
96 ÷ 4 = 24
Ahmed is thinking of a number
He says, ‘when I divide my number by 12, the answer is 108.
What number was Ahmed thinking of?
Answer (1 mark): 9
108 ÷ 12 = 9
In Year 4, decimal and fraction problems involve increasingly harder fractions to calculate quantities and fractions to divide quantities, including non-unit fractions, where the answer is a whole number. Decimal word problems include measure and money problems involving fractions and decimals up to 2 decimal places.
Jamie has 18 sweets.
He gives \frac{1}{6} of the sweets to his friend and keeps the rest himself.
How many sweets does Jamie have now?
Answer (1 mark): 15 sweets
\frac{1}{6} of 18 = 3
18 – 3 = 15
Jaxon collected 36 conkers.
\frac{1}{4} of the conkers fell out of a hole in his bag, when he was walking home.
How many conkers did Jaxon have left, when he got home?
\frac{1}{4} of 36 = 9
36 – 9 = 37 or \frac{3}{4} of 36 = 29 (3 x 9)
Sara ate \frac{3}{12} of a chocolate bar and gave \frac{2}{12} to her friend.
What fraction of the chocolate bar did she have left?
Answer (1 mark): \frac{7}{12}
In Year 4, time word problems include: converting from hours to minutes, minutes to seconds, years to months and weeks to days.
A cake was put in the oven at 4:35pm and taken out at 4:57pm.
How long was the cake in the oven?
Answer (1 mark): 22 minutes
57-35 = 22 minutes
Using an number line:
It took Evie 25 minutes to complete a page of number problems.
If she started at 2:45pm. What time did she finish?
Answer (1 mark): 3:10pm
In Year 4, children are introduced to multi-step word problems requiring up to two steps. These problems cover a range of concepts, including the four operations, fractions, decimals and measures.
Third Space Learning’s online one-to-one tutoring frequently incorporates multi-step questions to test students’ knowledge and problem solving skills. Our personalised tutoring programme works to identify gaps in students’ learning, fill those gaps, reinforce students’ knowledge and build confidence.
There are 6 handwriting pens in each pack.
A class has 30 children and each child needs 2 handwriting pens.
How many packs will the teacher need to buy?
Answer (2 marks): 10 packs of handwriting pens.
30 x 2 = 60
Sophie has £4.50.
She buy 3 books at a carboot sale, costing 50p, 65p and £1.20.
How much money does she have left?
Answer (2 marks): £2.15 left
Abullah is thinking of a number.
He doubles the number and adds 7.
He gets an answer of 25.
What was his original number?
Answer (2 marks): 9
Third Space Learning offers word problems for all primary year groups. Take a look at our word problems for year 3 , word problems for year 5 and word problems for year 6 . Our word problems span a range of topics such as ratio word problems and percentage word problems .
Every week Third Space Learning’s specialist primary maths tutors support thousands of students across hundreds of schools with weekly online 1 to 1 maths lessons designed to plug gaps and boost progress.
Since 2013 these personalised one to one lessons have helped over 150,000 primary and secondary students become more confident, able mathematicians.
Learn how tutors develop pupils’ maths fluency or request a personalised quote for your school to speak to us about your school’s needs and how we can help.
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This Maths Reasoning Year 4 Assessment Pack contains two tests with answer sheets and a ready-made spreadsheet to input children's marks. ... Please can you correct the assessment grids for set b year 4 reasoning test. Questions 16 gives the wrong score, Question 18 is not present. ... year 4 reasoning and problem solving . year 4 arithmetic test
Paper 2: reasoning and problem solving ... Date of birth Day Month Year Teacher Year 4 These assessments have been designed by White Rose Maths. For more information, please visit www.whiterosemaths.com. Page 2 of 16 ... you can use the space around the question. Some questions have a method box like this:
Reasoning/Problem Solving Maths Worksheets for Year 4 (age 8-9) This category is all about children choosing the most appropriate method to achieve a quick and accurate answer and to be able to explain their methods and reasoning. Problem solving involves measures, shape, time and money. Children should be able to read and understand the ...
Year 4 Maths Worksheets for fluency, reasoning, and problem solving Year 4 Maths Worksheets to improve fluency, mental maths and arithmetic skills: Fluent in Five. Fluent in Five worksheets provide a series of questions designed to take no more than 5-10 minutes and to help children develop their written and mental maths skills. Developing ...
Reasoning and Problem Solving Step 5: Written Methods National Curriculum Objectives: Mathematics Year 4: (4C7) Multiply two-digit and three-digit numbers by a one-digit number using formal written layout Differentiation: Questions 1, 4 and 7 (Problem Solving) Developing Identify the most efficient method to solve a multiplication calculation.
Reasoning and Problem Solving Step 1: Identify Angles National Curriculum Objectives: Mathematics Year 4: (4G4) Identify acute and obtuse angles and compare and order angles up to two right angles by size Differentiation: Questions 1, 4 and 7 (Problem Solving) Developing Combine angles to find which remain acute. Two digit values with 5 or 0 in the
4, 9 6 and realise difference increases by 1 each time. Some may try and form an equation. Bar Modelling - Pictorial Methods any of the problem solving questions in this booklet can be solved using a bar modelling method. Encourage children to use diagrams to help them solve the problem. Here is a problem where bar modelling would help.
Year 4 Maths Problems. Different activity sheets that give children questions that look at their fluency, reasoning or problem solving skills for that area of Maths with the answers included. More topics will continue to be included.
Year 4 KS2 Maths Problem solving learning resources for adults, children, parents and teachers. ... KS2 Maths videos, quizzes and activities that will help students practise their problem solving ...
Here are some of the curriculum aims, which children need to meet by the end of year 4. Included in these challenge cards are exercises to help reinforce learning on these key maths topics: Converting from hours to minutes in a practical context. Measure and calculate the perimeter of a figure in centimetres and metres.
Reasoning and Problem Solving - Multiply by 100 - Teaching Information. 1a.Complete the calculation below and draw matching counters on the place value chart. Th H T O. 4 x 100 = 4 0 0. D. 1b. Complete the calculation below and draw matching counters on the place value chart. Th H T O. 6 x 100 = 6 0 0.
Questions 1, 4 and 7 (Problem Solving) Developing Find the missing number from a given factor pair and clues. Includes known facts of the 3, 4, 6 and 8 times table. ... Year 4 Factor Pairs Reasoning and Problem Solving Author: Claira Created Date: 12/6/2019 10:07:30 AM ...
Reasoning and Problem Solving Round to the Nearest 1,000 Reasoning and Problem Solving Round to the Nearest 1,000 Developing 1a. A -2,714, B -1,875, C -counters (2,231) 2a. B is the odd one out because it rounds to 4,000. A and C round to 5,000. 3a. Max is incorrect because 3,148 rounds down to 3,000 as it has a hundreds value of less ...
You can use these Year 4 multiplication and division reasoning cards as a brilliant way to challenge learners. The cards pose questions or problems for the children to solve using their multiplication and division knowledge. Perfect for challenging early finishers or to challenge children's understanding of multiplication and division. Show more.
Pupils in Year 4 are exposed to a wider range of problem-solving questions and progress from one to two-step problems. It is important that all children are given regular opportunities to access reasoning and word problem style questions. Fluency, reasoning and problem solving should be intertwined through every lesson, with all children having ...
Reasoning and Problem Solving Divide by 10 Reasoning and Problem Solving Divide by 10 Developing 1a. Molly is correct because 350 ÷ 10 = 35. 2a. Various answers, for example: They ran 21 laps altogether; 7 and 14, 10 and 11, 13 and 8. 3a. Lucas is incorrect because 140 ÷ 10 = 14, not 12. Expected 4a. Kelly is incorrect because 470 ÷ 10 = 47 ...
Reasoning and Problem Solving - Triangles - Teaching Information. 1a. Colour the right angled triangles in this image. Use a ruler to help. 1b. Colour triangles in this image. help. 2a.Della is designing a logo for her flower shop. The logo includes a scalene triangle.
Reasoning and Problem Solving Fractions of a Quantity Reasoning and Problem Solving Fractions of a Quantity Developing 1a. 2 eggs, 60g of oats, 30ml of milk, 1 banana. 2a. Tom needs 4 potatoes because 16 ÷ 4 = 4 and 4 x 1 = 4. 3a. Chuan is correct. Alice has taken one fifth away from 35. Expected 4a. 3 eggs, 150g of self-raising flour, 75g of
33), 44 pieces of orange peel (48 ÷ 12 = 4; 4 x 11 = 44) and 11 red chillies (12 ÷ 12 = 1; 1 x 11 = 11) 9b. Lizzie is incorrect because she has partitioned 12 x 12 instead of 11 x 12. (3 +. 4 + 5 = 12, not 11). The correct answer would be 132. Reasoning and Problem Solving - 11 and 12 Times Table ANSWERS.
Questions 1, 4 and 7 (Reasoning) Developing Explain whether the <, > or = statement is true or false using hours, minutes and seconds in multiples of 10. Two statements. Expected Explain whether the <, > or = statement is true or false using two consecutive units of time, i.e. 5 hours and 35 minutes. Three statements.
Reasoning and Problem Solving ... Mathematics Year 4: (4G2b) Identify lines of symmetry in 2-D shapes presented in different orientations Differentiation: Questions 1, 4 and 7 (Reasoning) Developing Find and explain the mistake that has been made when sorting shapes into a Venn diagram. 3 simple regular polygons with up to 2 lines of symmetry ...
Reasoning and Problem Solving Divide 3 Digits by 1 Digit Reasoning and Problem Solving Divide 3 Digits by 1 Digit Developing 1a. 881 ÷ 2 = 440 r1 2a. 963 ÷ 3 = 321 3a. Jay is correct because 555 ÷ 5 = 111. Expected 4a. 654 ÷ 3 = 218; 654 ÷ 2 = 327; 654 ÷ 1 = 654 5a. 675 ÷ 3 = 225 6a. Mary is incorrect because 459 ÷ 9 = 51 exactly ...
Reasoning and Problem Solving Analogue to Digital -12 Hour Reasoning and Problem Solving Analogue to Digital -12 Hour Developing 1a. Carter is on time to watch the sealion show, as he is 5 minutes early. 2a. 05:05am is the earliest time. 10:45pm is the latest time. 3a. Expected 4a. Ryan is not on time to watch Space Wars as he is 4 minutes ...
because a leap year occurs in every 4 years. i.e (24 x 2) + (76 x1) odd days. because a Leap year has 2 odd days and a Normal year has 1 odd day. Hence, 100 years will have 124 odd days in total ...