Year 4 ML fraction? ML Word Problems Year 4 Primary How many ... Use known and derived facts to multiply and divide mentally ... Solving problems and …

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CURRICULUM 2014Maths Word Problems

Year 4

Primary

How many litres...?

What was my

number...?

What fraction...?

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CURRICULUM 2014Maths Word Problems

Lizzie Marsland

Year 4

Primary

Primary

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Acknowledgements:Author: Lizzie MarslandSeries Editor: Peter SumnerCover and Page Design: Kathryn Webster

Primary

Published by HeadStart Primary Ltd 2015 © HeadStart Primary Ltd 2015

The right of Lizzie Marsland to be identified as the author of this publication has been asserted by her in accordance with the Copyright, Designs and Patents Act 1998.

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise without the prior permission of the publisher.

A record for this book is available from the British Library - ISBN: 978-1-908767-29-5

T. 01200 423405E. [email protected]

HeadStart Primary LtdElker LaneClitheroeBB7 9HZ

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© Copyright HeadStart Primary Ltd 2015

INTRODUCTION

Year 4: NUMBER - Number and place value

Page ObjectivesPage 1 - Count in multiples of 6Page 2 - Count in multiples of 7Page 3 - Count in multiples of 9Page 4 - Count in multiples of 25Page 5 - Count in multiples of 1000Page 6 - Count in multiples of 6, 7 and 9Page 7 - Count in multiples of 25 and 1000Page 8 - Count in multiples of 6, 7, 9, 25 and 1000 (money)Page 9 - Count in multiples of 6, 7, 9, 25 and 1000 (money)Page 10 - Find 1000 more than a given numberPage 11 - Find 1000 less than a given numberPage 12 - Find 1000 more or less than a given numberPage 13 - Find 1000 more or less than a given numberPage 14 - Count backwards through zeroPage 15 - Count backwards through zeroPage 16 - Recognise the place value of each digit in a four-digit numberPage 17 - Recognise the place value of each digit in a four-digit numberPage 18 - Order and compare numbers beyond 1000Page 19 - Identify, represent and estimate numbers using different representationsPage 20 - Round any number to the nearest 10Page 21 - Round any number to the nearest 100Page 22 - Round any number to the nearest 1000Page 23 - Round any number to the nearest 10, 100 or 1000Page 24 - Round any number to the nearest 10, 100 or 1000Page 25 - Solve mixed problems involving number and place value Page 26 - Solve mixed problems involving number and place value Page 27 - Read Roman numerals to 100 (I to C)Page 28 - Read Roman numerals to 100 (I to C)

CONTENTS Year 4

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CONTENTS Year 4

Year 4: NUMBER - Addition and subtraction

Page 29 - Add numbers with up to four digits using formal written methods where appropriatePage 30 - Add numbers with up to four digits using formal written methods where appropriatePage 31 - Add numbers with up to four digits using formal written methods where appropriatePage 32 - Subtract numbers with up to four digits using formal written methods where appropriatePage 33 - Subtract numbers with up to four digits using formal written methods where appropriatePage 34 - Subtract numbers with up to four digits using formal written methods where appropriatePage 35 - Add and subtract numbers with up to four digits using formal written methods where appropriatePage 36 - Add and subtract numbers with up to four digits using formal written methods where appropriatePage 37 - Add and subtract numbers with up to four digits using formal written methods where appropriate (money)Page 38 - Estimate to check answers to a calculation Page 39 - Estimate to check answers to a calculation Page 40 - Use inverse operations to check answers to a calculationPage 41 - Use inverse operations to check answers to a calculationPage 42 - Solve addition two-step problemsPage 43 - Solve subtraction two-step problemsPage 44 - Solve addition and subtraction two-step problems (money)Page 45 - Solve addition and subtraction two-step problems (money)

Year 4: NUMBER - Multiplication and division

Page 46 - Recall and use multiplication and division facts for the 6 times tablesPage 47 - Recall and use multiplication and division facts for the 7 times tablesPage 48 - Recall and use multiplication and division facts for the 9 times tables Page 49 - Recall and use multiplication and division facts for the 11 times tables Page 50 - Recall and use multiplication and division facts for the 12 times tables Page 51 - Recall and use multiplication and division facts for the 6, 7, 9, 11 and 12 times tables Page 52 - Recall and use multiplication and division facts for the 6, 7, 9, 11 and 12 times tablesPage 53 - Recall and use multiplication and division facts for the 6, 7, 9, 11 and 12 times tablesPage 54 - Recall and use multiplication and division facts for the 6, 7, 9, 11 and 12 times tables Page 55 - Use place value to multiply mentallyPage 56 - Use known and derived facts to multiply and divide mentallySA

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CONTENTS Year 4

Page 57 - Multiply three numbers togtherPage 58 - Multiply a two-digit number by a one-digit number using a formal written methodPage 59 - Multiply a three-digit number by a one-digit number using a formal written methodPage 60 - Solve problems involving multiplying and adding, using the distributive lawPage 61 - Solve multiplication problems, including scaling and correspondence problems

Year 4: NUMBER – Fractions (including decimals)

Page 62 - Count up and down in hundredths; recognise that hundredths arise when dividing tenths by tenPage 63 - Recognise that hundredths arise when dividing tenths by tenPage 64 - Find a unit fraction of a whole numberPage 65 - Find a unit fraction of a whole numberPage 66 - Find a non-unit fraction of a whole numberPage 67 - Find a non-unit fraction of a whole numberPage 68 - Add and subtract fractions with the same denominatorPage 69 - Divide a one or two-digit number by 10 and identify the value of the digits in the answer Page 70 - Divide a one or two-digit number by 100 and identify the value of the digits in the answerPage 71 - Round decimals with one decimal place to the nearest whole number Page 72 - Compare numbers with up to two decimal places (money) Page 73 - Solve problems involving fractions and decimalsPage 74 - Solve problems involving fractions and decimalsPage 75 - Solve problems involving fractions and decimalsPage 76 - Solve problems involving fractions and decimals

Year 4: MEASUREMENT

Page 77 - Convert between kilometres and metresPage 78 - Convert between kilograms and gramsPage 79 - Convert between pounds and pencePage 80 - Convert between hours/minutes and seconds/minutesPage 81 - Convert between litres and millilitresPage 82 - Convert between units of measure (mixed)Page 83 - Convert between units of measure (mixed)Page 84 - Calculate the perimeter of rectilinear figures (including squares)Page 85 - Calculate the perimeter of rectilinear figures (including squares)SA

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CONTENTS Year 4

Page 86 - Estimate, compare and calculate different measuresPage 87 - Estimate, compare and calculate different measuresPage 88 - Estimate, compare and calculate different measuresPage 89 - Estimate, compare and calculate different amounts of money in pounds and pencePage 90 - Estimate, compare and calculate different amounts of money in pounds and pencePage 91 - Convert times between analogue and digital, 12 and 24 hour clocksPage 92 - Solve problems involving converting between hours and minutesPage 93 - Solve problems involving converting between minutes and secondsPage 94 - Solve problems involving converting between weeks and days, years and months

Year 4: GEOMETRY - Properties of shapes

Page 95 - Classify and compare quadrilaterals and triangles based on their properties and sizesPage 96 - Identify acute and obtuse anglesPage 97 - Order angles by sizePage 98 - Solve problems involving 2D and 3D shapesPage 99 - Solve problems involving 2D and 3D shapes

Year 4: STATISTICS

Page 100 - Interpret data in tablesPage 101 - Interpret data in tablesPage 102 - Interpret data in tablesPage 103 - Interpret data in tally chartsPage 104 - Interpret data in tally chartsPage 105 - Interpret data in tally chartsPage 106 - Interpret data in pictogramsPage 107 - Interpret data in pictogramsPage 108 - Interpret data in pictogramsPage 109 - Interpret data in bar chartsPage 110 - Interpret data in bar chartsPage 111 - Interpret data in bar chartsPage 112 – Interpret data in line graphsPage 113 – Interpret data in line graphs

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INTRODUCTIONThese problems have been written in line with the objectives from the ‘2014’ Mathematics Curriculum. Questions have been written to match all appropriate objectives from each ‘content domain’ of the curriculum.

Solving problems and mathematical reasoning in context is one of the most difficult skills for children to master; a ‘real life’, written problem is an abstract concept and children need opportunities to practise and consolidate their problem-solving techniques.

As each content domain is taught, the skills learnt can be applied to the relevant problems. This means that a particular objective can be reinforced and problem-solving and reasoning skills further developed. The pages can be reproduced and used either within or outside the mathematics lesson at school. They are also very useful as a homework resource.

The questions are arranged, in general, so that the more difficult questions come towards the bottom of the page. This means that differentiation can be achieved with the lower ability children working through the earlier questions and the higher ability going on to complete the whole page. The CD-ROM contains editable copies of each page. These can be edited and saved, as required, to provide extra practice or additional differentiated problems. The electronic versions on the CD-ROM can also be used on an interactive whiteboard, facilitating class discussion and investigation.

An example of a step-by-step method to solve word problems can be found on the following page. This can be edited, enlarged or used as a poster for classroom display and/or copies given to each child to be used as a check for each question answered.

Important parts of each question have been highlighted in ‘bold’ font. Once children have become more proficient at problem solving, it may be appropriate to remove these prompts on the editable page. Children can then be encouraged to use a highlighter or underline the important parts themselves.

Since a structured approach to problem solving supports learning, developing a whole-school approach is very worthwhile. SA

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Read the problem carefully.

Find the question.

Identify the important parts.

Decide on the operation or operations.

Carry out the operation or operations.

Check your answer.

Feel very pleased with yourself.

TO SOLVE A WORD PROBLEM

Follow these steps:

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Number and place value

NUMBER

These are all about

number and place value!

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© Copyright HeadStart Primary Ltd 2015 2 Name .............................................

Huma starts from 14 and counts in multiples of seven. What is the next number she counts?

Imran has 21 football stickers. Martin has seven less. How many football stickers does Martin have?

Ben counts in multiples of 7. He starts at 42. Can you write the next two numbers he counts?

Katie is practising counting backwards in sevens. If the first number she says is 28, what is the third number she says?

Victoria is using a number line to count up in multiples of 7. She says 56 first. What is the fourth number she says?

Miss Berry writes this number pattern on the whiteboard. Can you fill in the missing numbers?

NUMBER - Number and place value Year 4

Count in multiples of 7

63 84

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There are 2000 raisins in a bag. Tasha puts 1000 raisins in her cake mixture. How many are left?

Omar counts in multiples of 1000. He starts counting at 3000. What are the next two numbers he counts?

In the fishery, there are 2320 little fish in pond A. Pond B has 1000 more fish than this. How many fish are there in Pond B?

Kyle counts back 3000 in steps of 1000. He starts at 8740. What number does he count to?

Javeria likes to count in multiples of 1000. She starts counting at 5462. What are the next four numbers she counts?

Sebastian is struggling to work out the missing numbers. Can you help him?


Count in multiples of 1000

1825 4825

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There are 950 ants in the smaller ants’ nest and 1000 more than this in the bigger one. How many ants are there in the bigger nest?

In an enormous sweetie jar, there are 1432 cola sweets. In the same jar, there are 1000 more lemon sweets than cola sweets. How many lemon sweets are in the sweetie jar?

Catherine counts forward 1000 from 2459. What number does she count up to?

In the library, there are 5482 children’s books. There are 1000 more adults’ books. How many adults’ books are in the library?

The department store, Matt’s and Spicer’s, sold 6785 jumpers this year. Last year, they sold 1000 more than this. How many jumpers did they sell last year?

A new silver sports car costs £10,589. A new red sports car is £1000 more. How much does the red sports car cost?


Find 1000 more than a given number

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Crystal partitions 1874 into thousands, hundreds, tens and ones. How many hundreds are there?

Alex partitioned the number below. What number did he start with?

3000 + 800 + 20 + 5

Alex partitions another number in a different way. What number did he start with?

4000 + 700 + 46

Jason’s grandma has forgotten all about place value. She tells Jason that the digit 7 in the number 6753 is worth 7000. Is she correct? Explain your answer.

Michael says, “The value of the digit 5 in the number 9,562 is 50.” Is he correct? Explain your answer.


Recognise the place value of each digit in a four-digit number

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Tyler has 37 football cards. Rounded to the nearest 10, how many cards does he have?

Circle the number below which shows 1220 rounded to the nearest thousand.

2000 3000 1000

The Eiffel Tower is 320 metres tall. What is the height to the nearest 100 metres?

Reece rounds the number 5692 to the nearest thousand. What number does he round it to?

Miss Knight asks Class 4 to round the number 4499 to the nearest hundred. What number should they say?

Ameera says that 675 rounded to the nearest ten is 670. Is she correct? Explain your answer.


Round any number to the nearest 10, 100 or 1000

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Addition and subtraction

NUMBER

These are all about

addition and subtraction!

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There are 68 boys and 63 girls at Brainiac Primary School. How many pupils are at the school altogether?

At a netball match, there are 126 people supporting the blue team and 178 supporting the yellow team. How many people are watching the game altogether?

One tropical fish tank has 226 fish and another has 189. How many fish are there in total?

Porky, the pie man, sells 1535 meat pies and 1219 potato pies in a week. How many pies does he sell altogether in the week?

Miss Jones asks Class IV to work out 2389 add 3872. What answer should they say?

Isabella worked out 5349 add 7899 add 7864. What was her answer?

NUMBER - Addition and subtraction Year 4

Add numbers with up to four digits using formal written methods where appropriate

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71 girls and 32 boys attended the school disco. Estimate first and then work out the number of children that attended.

Circle the calculation that is a good estimate for 99 add 99.

200 210 190

A dress has 489 gold and silver sequins. If 231 sequins are gold, estimate first and then work out how many are silver.

Explain how you would estimate the answer to 4898 add 5243. Now work out the actual answer.

On the blackboard, Luke writes down this calculation: 1297 subtract 701. Write down how he could estimate the answer.

Luke wrote down the answer 496 when he worked out 1297 subtract 701. Explain, using your estimation from Question 5, how you know Luke’s answer is incorrect.


Estimate to check answers to a calculation

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Can you turn this number sentence into a subtraction?

26 + 62 = 88

Mrs Thompson wrote this inverse operation on the board. Can you fill in the missing numbers? 150 - 88 = 62 + 88 =

Zac works out that 79 - 32 = 47. How could he check his answer using the inverse operation?

Louise writes an inverse of 142 + 190 = 332. What number sentence might she write?

Azzaco the Alien doesn’t understand maths very well. Explain to Azzaco, using words or numbers, what the term ‘inverse operation’ means.

Tariq says, “I can check my answer to 34 + 18 = 52 by subtracting 18 from 34”. Is he correct? Explain why?


Use inverse operations to check answers to a calculation

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Multiplication and division

NUMBER

These are all about

multiplication and division!

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In the school hall, there were 36 tables with 6 children at each table. Mr Richards wanted to know how many children were there altogether. Firstly he worked out this calculation:

30 x 6 = 180

Circle which calculation he needed to do next.

6 x 60 = 360 60 x 6 = 360 6 x 6 = 36 In the number 28, the 2 represents 20 (two tens) and the 8 represents eight ones. If you multiplied 28 by 10, what would the 8 represent then? Circle the correct answer.

8 tens 8 hundreds 8 ones Mrs Bailey asks her class to use their knowledge of partitioning and place value to work out 43 x 7. Which two calculations should they use to work this out? John says, “If I multiply 62 by 1000 the 2 would then represent 2 hundreds”. Is he correct? Explain your answer.

NUMBER - Multiplication and division Year 4

Use place value to multiply mentally

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Marshall was asked to double three and then multiply the answer by 4. What was his answer?

Charlotte drew a line 3 cm long. Then she made the line 3 times longer. How long would 6 of these longer lines be, drawn end to end?

Asif’s teacher asked him to multiply 9 by 2 by 3. What was Asif’s answer?

In one layer of the box of chocolates, there are 5 x 6 chocolates. How many chocolates are there in 6 layers?

In one carriage on the big wheel, there are 4 double seats. How many people could fit in 7 carriages?

In one coach there are 26 seats. Each seat holds 2 people. How many people could 4 similar coaches carry?


Multiply three numbers together

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Joseph has 43 trading cards. His brother, Jake, has 4 times as many. How many cards does Jake have?

Each carriage of a train has 56 people on board. How many people are on the train altogether if there are 6 carriages?

Ice pops come in boxes of 96. How many ice pops would you have in 5 boxes of ice pops?

Dominic’s grandma and grandad always give him £36 on his birthday. How much will they have given him after 8 years?

A piano has 88 keys. How many keys would 9 pianos have?

The local pet shop has 96 mice for sale. The big pet superstore has 12 times as many as this for sale. How many mice are for sale in the superstore?

Multiply the ones, then the tens and then add the answers together.


Solve problems involving multiplying and adding, using the distributive law

TIP

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Fractions (including decimals)

NUMBER

These are all about

fractions, including decimals!

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There are 20 people thinking about what to do. 2/4 of them decide to go to the cinema. How many people go to the cinema?

If 2/3 of 21 cars in a street are red, how many red cars are there?

36 people are waiting for a train. Three quarters of them board a train to Manchester. How many are still waiting for a train?

At Gatrow Airport, 200 people are waiting to go on holiday. 2/5 are flying to Spain. How many people are flying to Spain?

In Class 4, 3/4 of 32 children have a brother or sister.

a) How many children have a brother or sister?

b) How many children don’t have a brother or sister?

Year 4

Find a non-unit fraction of a whole number

NUMBER- Fractions (including decimals)

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Faisal adds 1/4 and 2/4. What is his answer?

There are 4/5 of the class in the classroom. 2/5 are boys. What fraction of the children in the classroom are girls?

Simone is trying to work out what 3/6 add two sixths would be. What fraction should she write?

Miss Hardacre has 5/8 of the school’s reading books on the book trolley. She gives out two eighths to her class. What fraction of reading books is left on the book trolley?

Jake walks his puppy, Bruno, 2/5 of the distance around the park. He then walks 1/5 more of the distance with Bruno. How far have Jake and Bruno walked as a fraction?

Gemma has 8/9 of her pocket money left. She spends 1/9 on a magazine. She then buys some trainers with 5/9 of her money. Her grandad gives her 2/9 of her money back. How much money does she have now? Write your answer as a fraction.

Year 4

Add and subtract fractions with the same denominator


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Eleanor worked out that 4 divided by 10 is 0.4 What is the value of the 4 in 0.4? Is it ones, tenths or hundredths?

Circle the number which shows the answer to 9 divided by 10.

0.9 9.0 0.009 0.09

Look at this number sentence:

5.6 ÷ 10 = 0.56 What is the value of the digit five in the answer?

Mrs Collins asks Class 4 to write down the answer to 37 ÷ 10. What is the value of the 3 in their answer?

Bella calculates that 96 divided by 10 is 9.6 and the value of the 9 is 9 tenths. Is she correct? Explain your answer.

Write down a decimal number that is ten times smaller than 26. In your answer, put a circle around the tenths.

Year 4

Divide a one or two-digit number by 10 and identify the value of the digits in the answer


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Mr Bishra writes the amounts £0.34 and £0.43 on the whiteboard. Which amount is less?

In the shop, a Pluto Bar is £1.45 and a Mercury Bar is £1.52. Which chocolate bar is the most expensive?

Katie spends £2.43 on her lunch. Jav spends £2.89 on his lunch. Who has spent more on their lunch?

Would you rather have £27.62 or £27.26? Explain your answer.

Emily is buying some new shoes. The red shoes cost £12.42. The pink shoes cost £12.52. Which pair of shoes is more expensive?

Put these amounts in order of size starting with the smallest:

£423.42 £423.76 £423.12 £423.67

Year 4

Compare numbers with up to two decimal places (money)


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MEASUREMENT

These are all about

measurement!

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Look at the measurements of Farmer Fred’s vegetable patch:

Side 1 – 25 mSide 2 – 20 mSide 3 – 25 mSide 4 – 20 m

What is the perimeter of the vegetable patch?

A square’s sides measure 8 cm. What is the perimeter of the square?

Two sides of Mr Thackeray’s greenhouse measure 5 metres and 3 metres. If the greenhouse is a rectangle, what is its perimeter?

The swimming pool is 25 metres long and 10 metres wide. Demi walked all the way around the edge of the pool. How many metres did she walk for?

Marlon draws as many rectangles as he can with a perimeter of 30 cm. What are the measurements of the sides for the rectangles that he draws?

MEASUREMENT Year 4

Calculate the perimeter of rectilinear figures (including squares)

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Chloe has £1.07 and Lois has 170p. Who has more money?

Molly has two 20p coins and three 50p coins. Her favourite comic costs £1.20. How much change does she get?

Look at the cost of rides at the Terror Time theme park:

How much would it cost to go on Pumpkin Power, Witches Beware and Tower of Terror?

Serena has £4. She goes on more than three rides and does not get any change. Which rides could Serena have gone on?

Tower of Terror - £1.50Ghost Train - 80p Spider Spooker - £1.20

Tongue Twister - 70pPumpkin Power - £1.60Witches Beware – 50p

Try estimating first to make sure your answer is sensible.

MEASUREMENT Year 4

Estimate, compare and calculate different amounts of money in pounds and pence

TIP

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Mr Rajan sets his alarm for 9 am. He oversleeps and wakes up at 13:00. What time does Mr Rajan wake up? Give your answer as a (12 hour) analogue clock time.

Is the time 23:45 before noon or after? Explain your answer.

The time on Nadine’s watch shows 15:30. What would the time show on a 12 hour clock?

Poppy’s digital clock shows 6 o’clock in the evening. Write down the time shown on the digital clock.

The class digital clock reads 14:37. What would the time be on an analogue clock?

The football match started at 3:00 pm and finished at 4:47 pm.

a) What time does the match finish in 24 hour clock digital time?

b) How long does the football match last for (not including 15 minutes for half time)?

MEASUREMENT Year 4

Convert times between analogue and digital ,12 and 24 hour clocks

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GEOMETRYProperties of shapes

These are all about geometry!

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Angle A of the triangle is 46 degrees and angle B is 64 degrees. Which angle is bigger?

In a trapezium, one of the angles measures 114° and another measures 118°. Which angle is smaller?

Put these angles of a quadrilateral in order from largest to smallest:

80˚ 87˚ 100˚ 93˚

In a triangle, angle A is 61° and angle B is 62°. Would angle C be bigger or smaller than angle B?

Naomi has a secret shape. The angles are:

110˚ 107˚ 113° 103˚ 107˚

a) Put the angles in order of size from smallest to largest.b) Is the shape regular or irregular?c) What is the name of the shape?

GEOMETRY- Properties of shapes Year 4

Order angles by size

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How many square faces are there on a cube?

How many lines of symmetry are there on a regular pentagon?

Laura has to solve this puzzle: Which shape has 4 right angles and 4 sides that are all the same length? What should her answer be?

How many of each of the shapes below will Adam need to make the net of a triangular prism? Fill in the missing numbers.

He will need rectangles.

He will need triangles.

How many edges are there on a square-based pyramid?

Pippa had to find a 3D shape that had eight vertices. Can you name the shape that she found?

GEOMETRY- Properties of shapes Year 4

Solve problems involving 2D and 3D shapes

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STATISTICS

These are all about statistics!

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This table shows the times of buses at Blackton Bus Station

You arrive at the bus station at 1:40 pm. How long do you have to wait for the next bus?

The 11:30 am bus is 45 minutes late. What time does it arrive?

How long is there between the first and last bus?

This table shows an evening’s programmes on TV

How long is the News on for?

If Reece switches the TV on at 22:15, how long does he have to wait for Basketball Highlights to start?

How long is the movie, Star Wars XII, on for?

11:30 am9:00 am 2:00 pm 3:30 pm 5:00 pm

STATISTICS Year 4

Interpret data in tables

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Time

18:30

19:30

20:00

22:30

23:30

Programme

News

Coronation Road

Movie: Star Wars XII

Basketball Highlights

Countrywatch

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Which is the most popular snack?

Which is the least popular snack?

How many people said they liked biscuits?

How many more people said chocolate than cheese?

How many more people said fruit than chocolate?

How many people in total like the top 3 favourite snacks?

STATISTICS Year 4

Interpret data in tally charts

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TallySnack

sweets

fruit

biscuits

chocolate

cheese

Tally chart to show the favourite snack ofchildren in Year 4

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What is the most popular time for eating apples?

What is the least popular time for eating apples?

How many people were eating apples between 12 noon and 1 pm?

How many apples were eaten altogether in the afternoon?

Why do you think that most apples were eaten between 12 noon and 1 pm?

STATISTICS Year 4

Interpret data in pictograms

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Time

9 am - 10 am

10 am - 11 am

11 am - 12 noon

12 noon - 1 pm

1 pm - 2 pm

2 pm - 3 pm

= 10 people = 5 people

Nadia’s class counted how many people were eating apples in the park at different times of the day

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Which pet is the second most popular?

What is the least popular pet?

How many people own a dog?

How many people own a rabbit?

How many more people own a dog than a fish?

How many more people own a cat than a rabbit?

Which pet is twice as popular as which other pet?

There are 43 pets altogether but only 28 children in the class. Can you explain this?

STATISTICS Year 4

Interpret data in bar charts

0 dog cat gerbil rabbit fish

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pet

Bar chart to show pet ownership in Year 4

numberof

children

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What time of day was the temperature at its hottest?

What happened to the temperature during the morning?

How much warmer was it at 2 pm than at 10 am?

What do you think the temperature was at 5 pm?

How long did it take for the temperature to go from ten degrees Celsius to twenty degrees Celsius?

Why do you think the temperature at 10 pm was lower than it was at 8 am?

STATISTICS Year 4

Interpret data in line graphs

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2018

8 am 12 noon10 am 2 pm 4 pm 6 pm 8 pm 10 pm

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time

A graph to show the temperature during a day in September

temperature(Celsius)

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© Copyright HeadStart Primary Ltd 2015 1

ANSWERS Year 4

Year 4: NUMBER – Number and place value

Page 1: 1) 18 2) 24 3) 36 4) 42, 36 5) 54 6) 78Page 2: 1) 21 2) 14 3) 49, 56 4) 14 5) 77 6) 70, 77, 91, 98 Page 3: 1) 27 2) 27 3) 36, 45 4) 63 5) 117 6) 135, 126, 117, 99 Page 4: 1) 75 2) 125 3) 500 4) 100 5) 725, 750, 775, 800 6) 7Page 5: 1) 1000 2) 4000, 5000 3) 3320 4) 5740 5) 6462, 7462, 8462, 9462 6) 2825, 3825, 5825, 6825Page 6: 1) 30 2) 28 3) 60 4) 4 5) 108 6) 8 Page 7: 1) 740 2) 175, 200 3) 225 4) 5463, 6463 5) 800, 825, 850, 875 6) 4252Page 8: 1) £30 2) £350 3) £7 4) £3789 5) £99 6) £126Page 9: 1) £75 2) £3425 3) £27 4) £91 5) £60 6) 7Page 10: 1) 1950 2) 2432 3) 3459 4) 6482 5) 7785 6) £11,589Page 11: 1) 1275 2) 2982 3) 4623 4) £6843 5) 7975 6) 11,576Page 12: 1) 1320 2) 3755 3) 2245 4) 5897 5) 5342 6) 8875Page 13: 1) 1625 2) 1982 3) 3832 4) £6843 5) 7376 6) 9283Page 14: 1) -1 2) -7 3) -3 4) -4ºC 5) -17 6) -£8Page 15: 1) -3 2) -8 3) -1ºC 4) -12 5) -7ºC 6) -25ºCPage 16: 1) 2 2) 8 3) 4 4) 2 5) 460 6) 8749Page 17: 1) 8 2) 3825 3) 4746 4) no; appropriate explanation 5) no; appropriate explanationPage 18: 1) 1682, 3682, 4682, 5682 2) 1292 3) 6742, 3200, 2000, 1235 4) 3324 5) largest; 7654 smallest; 7465Page 19: 1) 1000 2) Richard (1400 miles) 3) blue bucket (3428 g) 4) container A (2950 ml) 5) 2385 6) 30 boxesPage 20: 1) 10 miles 2) 60 3) 370 4) £90 5) 70 6) £50Page 21: 1) 300 g 2) 200 3) 500 4) £700 5) 900 6) £200Page 22: 1) 2000 2) 2000 3) 4000 4) £7000 5) £7000 6) £14,000Page 23: 1) 100 2) 2000 m 3) 90 4) 500 5) 8000 6) 6000Page 24: 1) 40 2) 1000 3) 300 m 4) 6000 5) 4500 6) no; appropriate explanationPage 25: 1) 42 2) 2892 3) 2793 4) 17 5) -4 6) no; appropriate explanationPage 26: 1) 608 2) 2278 3) 1687 4) 5 tens 5) -17ºC 6) 8Page 27: 1) 6 2) 4 3) 30 4) 52 5) 63 6) XVIIIPage 28: 1) 7 2) 100 3) 27 m 4) 40 5) 99 6) 174

Year 4: NUMBER - Addition and subtraction

Page 29: 1) 124 2) 202 3) 809 4) 1200 5) 4209 6) 3293Page 30: 1) 319 2) 1802 3) 3585 4) 4496 5) 9361 6) 21,856Page 31: 1) 131 2) 304 3) 415 4) 2754 5) 6261 6) 21,112

SAM

PLE

SAM

PLE

Year 4

CURRICULUM 2014

Maths Word Problems

Primary

problems for all appropriate objectives of the 2014 Curriculum

This book includes:

built-in differentiation

editable versions of the pages on a CD-ROM

one-step, two-step and multi-step problems

suggested whole school procedure for problem solving

T. 01200 423405E. [email protected]

PrimarySAM

PLE

SAM

PLE

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Year 4 ML fraction? ML Word Problems Year 4 Primary How many ... Use known and derived facts to multiply and divide mentally ... Solving problems and …