LE
Primary
CURRICULUM 2014
SA
MP
Maths Word Problems
Year 4
What
fraction...?
What
was my
number...?
How many
litres...?
LE
Primary
SA
MP
CURRICULUM 2014
Maths Word Problems
Year 4
Lizzie Marsland
Primary
LE
SA
MP
Acknowledgements:
Author: Lizzie Marsland
Series Editor: Peter Sumner
Cover and Page Design: Kathryn Webster
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.
Primary
HeadStart Primary Ltd
Elker Lane
Clitheroe
BB7 9HZ
T. 01200 423405
E. [email protected]
www.headstartprimary.com
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.
Published by HeadStart Primary Ltd 2015 © HeadStart Primary Ltd 2015
A record for this book is available from the British Library -
ISBN: 978-1-908767-29-5
CONTENTS
Year 4
INTRODUCTION
Year 4: NUMBER - Number and place value
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Objectives
Count in multiples of 6
Count in multiples of 7
Count in multiples of 9
Count in multiples of 25
Count in multiples of 1000
Count in multiples of 6, 7 and 9
Count in multiples of 25 and 1000
Count in multiples of 6, 7, 9, 25 and 1000 (money)
Count in multiples of 6, 7, 9, 25 and 1000 (money)
Find 1000 more than a given number
Find 1000 less than a given number
Find 1000 more or less than a given number
Find 1000 more or less than a given number
Count backwards through zero
Count backwards through zero
Recognise the place value of each digit in a four-digit number
Recognise the place value of each digit in a four-digit number
Order and compare numbers beyond 1000
Identify, represent and estimate numbers using different representations
Round any number to the nearest 10
Round any number to the nearest 100
Round any number to the nearest 1000
Round any number to the nearest 10, 100 or 1000
Round any number to the nearest 10, 100 or 1000
Solve mixed problems involving number and place value
Solve mixed problems involving number and place value
Read Roman numerals to 100 (I to C)
Read Roman numerals to 100 (I to C)
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Page
Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7 Page 8 Page 9 Page 10 Page 11 Page 12 Page 13 Page 14 Page 15 Page 16 Page 17 Page 18 Page 19 Page 20 Page 21 Page 22 Page 23 Page 24 Page 25 Page 26 Page 27 Page 28 -
© Copyright HeadStart Primary Ltd 2015
CONTENTS
Year 4
Year 4: NUMBER - Addition and subtraction
Page 36 Page 37 -
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Page 38 Page 39 Page 40 Page 41 Page 42 Page 43 Page 44 Page 45 -
Add numbers with up to four digits using formal written methods where appropriate
Add numbers with up to four digits using formal written methods where appropriate
Add numbers with up to four digits using formal written methods where appropriate
Subtract numbers with up to four digits using formal written methods where appropriate
Subtract numbers with up to four digits using formal written methods where appropriate
Subtract numbers with up to four digits using formal written methods where appropriate
Add and subtract numbers with up to four digits using formal written methods
where appropriate
Add and subtract numbers with up to four digits using formal written methods
where appropriate
Add and subtract numbers with up to four digits using formal written methods
where appropriate (money)
Estimate to check answers to a calculation
Estimate to check answers to a calculation
Use inverse operations to check answers to a calculation
Use inverse operations to check answers to a calculation
Solve addition two-step problems
Solve subtraction two-step problems
Solve addition and subtraction two-step problems (money)
Solve addition and subtraction two-step problems (money)
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Page 29 Page 30 Page 31 Page 32 Page 33 Page 34 Page 35 -
Year 4: NUMBER - Multiplication and division
Page 46 Page 47 Page 48 Page 49 Page 50 Page 51 Page 52 Page 53 Page 54 Page 55 Page 56 -
Recall and use multiplication and division facts for the 6 times tables
Recall and use multiplication and division facts for the 7 times tables
Recall and use multiplication and division facts for the 9 times tables
Recall and use multiplication and division facts for the 11 times tables
Recall and use multiplication and division facts for the 12 times tables
Recall and use multiplication and division facts for the 6, 7, 9, 11 and 12 times tables
Recall and use multiplication and division facts for the 6, 7, 9, 11 and 12 times tables
Recall and use multiplication and division facts for the 6, 7, 9, 11 and 12 times tables
Recall and use multiplication and division facts for the 6, 7, 9, 11 and 12 times tables
Use place value to multiply mentally
Use known and derived facts to multiply and divide mentally
© Copyright HeadStart Primary Ltd 2015
CONTENTS
Page 57 Page 58 Page 59 Page 60 Page 61 -
Year 4
Multiply three numbers togther
Multiply a two-digit number by a one-digit number using a formal written method
Multiply a three-digit number by a one-digit number using a formal written method
Solve problems involving multiplying and adding, using the distributive law
Solve multiplication problems, including scaling and correspondence problems
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Year 4: NUMBER – Fractions (including decimals)
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Page 62 - Count up and down in hundredths; recognise that hundredths arise when dividing
tenths by ten
Page 63 - Recognise that hundredths arise when dividing tenths by ten
Page 64 - Find a unit fraction of a whole number
Page 65 - Find a unit fraction of a whole number
Page 66 - Find a non-unit fraction of a whole number
Page 67 - Find a non-unit fraction of a whole number
Page 68 - Add and subtract fractions with the same denominator
Page 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 answer
Page 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 decimals
Page 74 - Solve problems involving fractions and decimals
Page 75 - Solve problems involving fractions and decimals
Page 76 - Solve problems involving fractions and decimals
Year 4: MEASUREMENT
Page 77 Page 78 Page 79 Page 80 Page 81 Page 82 Page 83 Page 84 Page 85 -
Convert between kilometres and metres
Convert between kilograms and grams
Convert between pounds and pence
Convert between hours/minutes and seconds/minutes
Convert between litres and millilitres
Convert between units of measure (mixed)
Convert between units of measure (mixed)
Calculate the perimeter of rectilinear figures (including squares)
Calculate the perimeter of rectilinear figures (including squares)
© Copyright HeadStart Primary Ltd 2015
CONTENTS
Estimate, compare and calculate different measures
Estimate, compare and calculate different measures
Estimate, compare and calculate different measures
Estimate, compare and calculate different amounts of money in pounds and pence
Estimate, compare and calculate different amounts of money in pounds and pence
Convert times between analogue and digital, 12 and 24 hour clocks
Solve problems involving converting between hours and minutes
Solve problems involving converting between minutes and seconds
Solve problems involving converting between weeks and days, years and months
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Page 86 Page 87 Page 88 Page 89 Page 90 Page 91 Page 92 Page 93 Page 94 -
Year 4
Year 4: GEOMETRY - Properties of shapes
Classify and compare quadrilaterals and triangles based on their properties and sizes
Identify acute and obtuse angles
Order angles by size
Solve problems involving 2D and 3D shapes
Solve problems involving 2D and 3D shapes
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Page 95 Page 96 Page 97 Page 98 Page 99 -
Year 4: STATISTICS
Page 100 - Interpret data in tables
Page 101 - Interpret data in tables
Page 102 - Interpret data in tables
Page 103 - Interpret data in tally charts
Page 104 - Interpret data in tally charts
Page 105 - Interpret data in tally charts
Page 106 - Interpret data in pictograms
Page 107 - Interpret data in pictograms
Page 108 - Interpret data in pictograms
Page 109 - Interpret data in bar charts
Page 110 - Interpret data in bar charts
Page 111 - Interpret data in bar charts
Page 112 – Interpret data in line graphs
Page 113 – Interpret data in line graphs
ANSWERS
© Copyright HeadStart Primary Ltd 2015
INTRODUCTION
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These 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.
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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.
© Copyright HeadStart Primary Ltd 2015
TO SOLVE A WORD PROBLEM
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Follow these steps:
1 Read the problem carefully.
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2 Find the question.
3 Identify the important parts.
4 Decide on the operation or operations.
5 Carry out the operation or operations.
6 Check your answer.
7 Feel very pleased with yourself.
© Copyright HeadStart Primary Ltd 2015
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NUMBER
SA
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Number and place value
These are
all about
number and
place value!
© Copyright HeadStart Primary Ltd 2015
NUMBER - Number and place value
Year 4
Count in multiples of 7
Huma starts from 14 and counts in multiples of seven. What is the next
number she counts?
2
Imran has 21 football stickers. Martin has seven less. How many football
stickers does Martin have?
3
Ben counts in multiples of 7. He starts at 42. Can you write the next two
numbers he counts?
4
Katie is practising counting backwards in sevens. If the first number she
says is 28, what is the third number she says?
5
Victoria is using a number line to count up in multiples of 7. She says 56
first. What is the fourth number she says?
6
Miss Berry writes this number pattern on the whiteboard. Can you fill in
the missing numbers?
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1
63
© Copyright HeadStart Primary Ltd 2015
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2
Name .............................................
NUMBER - Number and place value
Year 4
Count in multiples of 1000
There are 2000 raisins in a bag. Tasha puts 1000 raisins in her cake
mixture. How many are left?
2
Omar counts in multiples of 1000. He starts counting at 3000. What are
the next two numbers he counts?
3
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?
4
Kyle counts back 3000 in steps of 1000. He starts at 8740. What number
does he count to?
5
Javeria likes to count in multiples of 1000. She starts counting at 5462.
What are the next four numbers she counts?
6
Sebastian is struggling to work out the missing numbers. Can you
help him?
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1
1825
© Copyright HeadStart Primary Ltd 2015
4825
5
Name .............................................
NUMBER - Number and place value
Year 4
Find 1000 more than a given number
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?
2
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?
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1
3
Catherine counts forward 1000 from 2459. What number does she
count up to?
4
In the library, there are 5482 children’s books. There are 1000 more adults’
books. How many adults’ books are in the library?
5
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?
6
A new silver sports car costs £10,589. A new red sports car is £1000 more.
How much does the red sports car cost?
© Copyright HeadStart Primary Ltd 2015
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Name .............................................
NUMBER - Number and place value
Year 4
Recognise the place value of each digit in a four-digit number
Crystal partitions 1874 into thousands, hundreds, tens and ones. How
many hundreds are there?
2
Alex partitioned the number below. What number did he start with?
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3000 + 800 + 20 + 5
3
Alex partitions another number in a different way. What number did he
start with?
4000 + 700 + 46
4
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.
5
Michael says, “The value of the digit 5 in the number 9,562 is 50.” Is he
correct? Explain your answer.
© Copyright HeadStart Primary Ltd 2015
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Name .............................................
NUMBER - Number and place value
Year 4
Round any number to the nearest 10, 100 or 1000
Tyler has 37 football cards. Rounded to the nearest 10, how many cards
does he have?
2
Circle the number below which shows 1220 rounded to the
nearest thousand.
2000 3000 1000
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1
3
The Eiffel Tower is 320 metres tall. What is the height to the nearest
100 metres?
4
Reece rounds the number 5692 to the nearest thousand. What number
does he round it to?
5
Miss Knight asks Class 4 to round the number 4499 to the nearest
hundred. What number should they say?
6
Ameera says that 675 rounded to the nearest ten is 670. Is she correct? Explain your answer.
© Copyright HeadStart Primary Ltd 2015
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Name .............................................
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NUMBER
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Addition and subtraction
These are
all about
addition and
subtraction!
© Copyright HeadStart Primary Ltd 2015
NUMBER - Addition and subtraction
Year 4
Add numbers with up to four digits using formal written
methods where appropriate
There are 68 boys and 63 girls at Brainiac Primary School. How many
pupils are at the school altogether?
2
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?
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1
3
One tropical fish tank has 226 fish and another has 189. How many fish
are there in total?
4
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?
5
Miss Jones asks Class IV to work out 2389 add 3872. What answer should
they say?
6
Isabella worked out 5349 add 7899 add 7864. What was her answer?
© Copyright HeadStart Primary Ltd 2015
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Name .............................................
NUMBER - Addition and subtraction
Year 4
Estimate to check answers to a calculation
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.
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2
71 girls and 32 boys attended the school disco. Estimate first and then
work out the number of children that attended.
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1
3
4
5
6
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.
© Copyright HeadStart Primary Ltd 2015
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Name .............................................
NUMBER - Addition and subtraction
Year 4
Use inverse operations to check answers to a calculation
Can you turn this number sentence into a subtraction?
26 + 62 = 88
2
Mrs Thompson wrote this inverse operation on the board. Can you fill in
the missing numbers?
150 - 88 = 62 + 88 = SA
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1
3
Zac works out that 79 - 32 = 47. How could he check his answer using the
inverse operation?
4
Louise writes an inverse of 142 + 190 = 332. What number sentence
might she write?
5
6
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?
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Name .............................................
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NUMBER
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Multiplication and division
These are
all about
multiplication
and division!
© Copyright HeadStart Primary Ltd 2015
NUMBER - Multiplication and division
Year 4
Use place value to multiply mentally
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:
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1
30 x 6 = 180
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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.
2
3
4
© Copyright HeadStart Primary Ltd 2015
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Name .............................................
NUMBER - Multiplication and division
Year 4
Multiply three numbers together
Marshall was asked to double three and then multiply the answer by 4.
What was his answer?
2
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?
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1
3
Asif’s teacher asked him to multiply 9 by 2 by 3. What was Asif’s answer?
4
In one layer of the box of chocolates, there are 5 x 6 chocolates. How
many chocolates are there in 6 layers?
5
In one carriage on the big wheel, there are 4 double seats. How many
people could fit in 7 carriages?
6
In one coach there are 26 seats. Each seat holds 2 people. How many
people could 4 similar coaches carry?
© Copyright HeadStart Primary Ltd 2015
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Name .............................................
NUMBER - Multiplication and division
Year 4
Solve problems involving multiplying and adding, using the
distributive law
Multiply the ones, then the tens and then add the answers together.
1
Joseph has 43 trading cards. His brother, Jake, has 4 times as many.
How many cards does Jake have?
2
Each carriage of a train has 56 people on board. How many people are
on the train altogether if there are 6 carriages?
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TIP
3
Ice pops come in boxes of 96. How many ice pops would you have in
5 boxes of ice pops?
4
Dominic’s grandma and grandad always give him £36 on his birthday.
How much will they have given him after 8 years?
5
A piano has 88 keys. How many keys would 9 pianos have?
6
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?
© Copyright HeadStart Primary Ltd 2015
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NUMBER
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Fractions (including decimals)
These
are all about
fractions, including
decimals!
© Copyright HeadStart Primary Ltd 2015
NUMBER- Fractions (including decimals)
Year 4
Find a non-unit fraction of a whole number
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?
2
If 2/3 of 21 cars in a street are red, how many red cars are there?
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1
3
36 people are waiting for a train. Three quarters of them board a train to
Manchester. How many are still waiting for a train?
4
At Gatrow Airport, 200 people are waiting to go on holiday. 2/5 are flying to
Spain. How many people are flying to Spain?
5
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?
© Copyright HeadStart Primary Ltd 2015
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Name .............................................
NUMBER- Fractions (including decimals)
Year 4
Add and subtract fractions with the same denominator
Faisal adds 1/4 and 2/4. What is his answer?
2
There are 4/5 of the class in the classroom. 2/5 are boys. What fraction of
the children in the classroom are girls?
3
Simone is trying to work out what 3/6 add two sixths would be. What
fraction should she write?
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4
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?
5
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?
6
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.
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Name .............................................
NUMBER- Fractions (including decimals)
Year 4
Divide a one or two-digit number by 10 and identify the
value of the digits in the answer
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?
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2
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?
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3
4
Mrs Collins asks Class 4 to write down the answer to 37 ÷ 10. What is the
value of the 3 in their answer?
5
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.
6
Write down a decimal number that is ten times smaller than 26. In your
answer, put a circle around the tenths.
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Name .............................................
NUMBER- Fractions (including decimals)
Year 4
Compare numbers with up to two decimal places (money)
1
Mr Bishra writes the amounts £0.34 and £0.43 on the whiteboard. Which
amount is less?
2
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In the shop, a Pluto Bar is £1.45 and a Mercury Bar is £1.52. Which
chocolate bar is the most expensive?
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Katie spends £2.43 on her lunch. Jav spends £2.89 on his lunch. Who has
spent more on their lunch?
3
4
Would you rather have £27.62 or £27.26? Explain your answer.
5
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?
6
Put these amounts in order of size starting with the smallest:
£423.42 £423.76 £423.12 £423.67
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MEASUREMENT
These are
all about
measurement!
© Copyright HeadStart Primary Ltd 2015
MEASUREMENT
Year 4
Calculate the perimeter of rectilinear figures (including squares)
Look at the measurements of Farmer Fred’s vegetable patch:
Side 1 – 25 m
Side 2 – 20 m
Side 3 – 25 m
Side 4 – 20 m
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What is the perimeter of the vegetable patch?
2
A square’s sides measure 8 cm. What is the perimeter of the square?
3
Two sides of Mr Thackeray’s greenhouse measure 5 metres and 3 metres.
If the greenhouse is a rectangle, what is its perimeter?
4
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?
5
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?
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Name .............................................
MEASUREMENT
Year 4
Estimate, compare and calculate different amounts of money
in pounds and pence
Try estimating first to make sure your answer is sensible.
1
Chloe has £1.07 and Lois has 170p. Who has more money?
2
Molly has two 20p coins and three 50p coins. Her favourite comic costs
£1.20. How much change does she get?
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3
Look at the cost of rides at the Terror Time theme park:
Tower of Terror - £1.50
Ghost Train - 80p
Spider Spooker - £1.20
Tongue Twister - 70p
Pumpkin Power - £1.60
Witches Beware – 50p
How much would it cost to go on Pumpkin Power, Witches Beware and
Tower of Terror?
4
Serena has £4. She goes on more than three rides and does not get any
change. Which rides could Serena have gone on?
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Name .............................................
MEASUREMENT
Year 4
Convert times between analogue and digital ,12 and
24 hour clocks
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.
2
Is the time 23:45 before noon or after? Explain your answer.
3
The time on Nadine’s watch shows 15:30. What would the time show on a
12 hour clock?
4
Poppy’s digital clock shows 6 o’clock in the evening. Write down the time
shown on the digital clock.
5
The class digital clock reads 14:37. What would the time be on an
analogue clock?
6
The football match started at 3:00 pm and finished at 4:47 pm.
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1
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)?
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Name .............................................
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GEOMETRY
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Properties of shapes
These are
all about
geometry!
© Copyright HeadStart Primary Ltd 2015
GEOMETRY- Properties of shapes
Year 4
Order angles by size
Angle A of the triangle is 46 degrees and angle B is 64 degrees.
Which angle is bigger?
2
In a trapezium, one of the angles measures 114° and another measures
118°. Which angle is smaller?
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1
3
Put these angles of a quadrilateral in order from largest to smallest:
80˚
87˚
100˚
93˚
4
In a triangle, angle A is 61° and angle B is 62°. Would angle C be bigger
or smaller than angle B?
5
Naomi has a secret shape. The angles are:
110˚
a)
b)
c)
107˚
113°
103˚
107˚
Put the angles in order of size from smallest to largest.
Is the shape regular or irregular?
What is the name of the shape?
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Name .............................................
GEOMETRY- Properties of shapes
Year 4
Solve problems involving 2D and 3D shapes
How many square faces are there on a cube?
2
How many lines of symmetry are there on a regular pentagon?
3
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?
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1
4
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.
5
How many edges are there on a square-based pyramid?
6
Pippa had to find a 3D shape that had eight vertices. Can you name the
shape that she found?
© Copyright HeadStart Primary Ltd 2015
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Name .............................................
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STATISTICS
These are
all about
statistics!
© Copyright HeadStart Primary Ltd 2015
STATISTICS
Year 4
Interpret data in tables
This table shows the times of buses at Blackton Bus Station
11:30 am
2:00 pm
3:30 pm
5:00 pm
LE
9:00 am
You arrive at the bus station at 1:40 pm. How long do you have to wait for
the next bus?
2
The 11:30 am bus is 45 minutes late. What time does it arrive?
3
How long is there between the first and last bus?
SA
MP
1
This table shows an evening’s programmes on TV
Programme
Time
News
18:30
Coronation Road
19:30
Movie: Star Wars XII
20:00
Basketball Highlights
22:30
Countrywatch
23:30
4
How long is the News on for?
5
If Reece switches the TV on at 22:15, how long does he have to wait for
Basketball Highlights to start?
6
How long is the movie, Star Wars XII, on for?
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100
Name .............................................
STATISTICS
Year 4
Interpret data in tally charts
Tally chart to show the favourite snack of
children in Year 4
Tally
sweets
fruit
SA
MP
biscuits
LE
Snack
chocolate
cheese
1
Which is the most popular snack?
2
Which is the least popular snack?
3
How many people said they liked biscuits?
4
How many more people said chocolate than cheese?
5
How many more people said fruit than chocolate?
6
How many people in total like the top 3 favourite snacks?
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105
Name .............................................
STATISTICS
Year 4
Interpret data in pictograms
Time
9 am - 10 am
10 am - 11 am
11 am - 12 noon
12 noon - 1 pm
SA
MP
1 pm - 2 pm
LE
Nadia’s class counted how many people were eating
apples in the park at different times of the day
2 pm - 3 pm
= 10 people
= 5 people
1
What is the most popular time for eating apples?
2
What is the least popular time for eating apples?
3
How many people were eating apples between 12 noon and 1 pm?
4
How many apples were eaten altogether in the afternoon?
5
Why do you think that most apples were eaten between 12 noon and 1 pm?
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108
Name .............................................
STATISTICS
Year 4
Interpret data in bar charts
Bar chart to show pet ownership in Year 4
14
LE
12
10
number
of
children
8
6
4
SA
MP
2
0
dog
cat
gerbil
pet
rabbit
fish
1
Which pet is the second most popular?
2
What is the least popular pet?
3
How many people own a dog?
4
How many people own a rabbit?
5
How many more people own a dog than a fish?
6
How many more people own a cat than a rabbit?
7
Which pet is twice as popular as which other pet?
8
There are 43 pets altogether but only 28 children in the class. Can you
explain this?
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111
Name .............................................
STATISTICS
Year 4
Interpret data in line graphs
SA
MP
temperature
(Celsius)
22
20
18
16
14
12
10
8
6
4
2
0
LE
A graph to show the temperature during a day in September
8 am
10 am
12 noon
2 pm
4 pm
6 pm
8 pm
10 pm
time
1
What time of day was the temperature at its hottest?
2
What happened to the temperature during the morning?
3
How much warmer was it at 2 pm than at 10 am?
4
What do you think the temperature was at 5 pm?
5
How long did it take for the temperature to go from ten degrees Celsius
to twenty degrees Celsius?
6
Why do you think the temperature at 10 pm was lower than it was at 8 am?
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Name .............................................
ANSWERS
Year 4
Year 4: NUMBER – Number and place value
SA
MP
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Page 18:
1) 18 2) 24 3) 36 4) 42, 36 5) 54 6) 78
1) 21 2) 14 3) 49, 56 4) 14 5) 77 6) 70, 77, 91, 98
1) 27 2) 27 3) 36, 45 4) 63 5) 117 6) 135, 126, 117, 99
1) 75 2) 125 3) 500 4) 100 5) 725, 750, 775, 800 6) 7
1) 1000 2) 4000, 5000 3) 3320 4) 5740 5) 6462, 7462, 8462, 9462
6) 2825, 3825, 5825, 6825
1) 30 2) 28 3) 60 4) 4 5) 108 6) 8
1) 740 2) 175, 200 3) 225 4) 5463, 6463 5) 800, 825, 850, 875 6) 4252
1) £30 2) £350 3) £7 4) £3789 5) £99 6) £126
1) £75 2) £3425 3) £27 4) £91 5) £60 6) 7
1) 1950 2) 2432 3) 3459 4) 6482 5) 7785 6) £11,589
1) 1275 2) 2982 3) 4623 4) £6843 5) 7975 6) 11,576
1) 1320 2) 3755 3) 2245 4) 5897 5) 5342 6) 8875
1) 1625 2) 1982 3) 3832 4) £6843 5) 7376 6) 9283
1) -1 2) -7 3) -3 4) -4ºC 5) -17 6) -£8
1) -3 2) -8 3) -1ºC 4) -12 5) -7ºC 6) -25ºC
1) 2 2) 8 3) 4 4) 2 5) 460 6) 8749
1) 8 2) 3825 3) 4746 4) no; appropriate explanation 5) no; appropriate explanation
1) 1682, 3682, 4682, 5682 2) 1292 3) 6742, 3200, 2000, 1235 4) 3324
5) largest; 7654 smallest; 7465
1) 1000 2) Richard (1400 miles) 3) blue bucket (3428 g) 4) container A (2950 ml)
5) 2385 6) 30 boxes
1) 10 miles 2) 60 3) 370 4) £90 5) 70 6) £50
1) 300 g 2) 200 3) 500 4) £700 5) 900 6) £200
1) 2000 2) 2000 3) 4000 4) £7000 5) £7000 6) £14,000
1) 100 2) 2000 m 3) 90 4) 500 5) 8000 6) 6000
1) 40 2) 1000 3) 300 m 4) 6000 5) 4500 6) no; appropriate explanation
1) 42 2) 2892 3) 2793 4) 17 5) -4 6) no; appropriate explanation
1) 608 2) 2278 3) 1687 4) 5 tens 5) -17ºC 6) 8
1) 6 2) 4 3) 30 4) 52 5) 63 6) XVIII
1) 7 2) 100 3) 27 m 4) 40 5) 99 6) 174
LE
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Year 4: NUMBER - Addition and subtraction
Page 29: 1) 124 2) 202 3) 809 4) 1200 5) 4209 6) 3293
Page 30: 1) 319 2) 1802 3) 3585 4) 4496 5) 9361 6) 21,856
Page 31: 1) 131 2) 304 3) 415 4) 2754 5) 6261 6) 21,112
© Copyright HeadStart Primary Ltd 2015
1
Primary
LE
CURRICULUM 2014
Maths Word Problems
SA
MP
Year 4
This book includes:
problems for all appropriate objectives of
the 2014 Curriculum
editable versions of the pages on a CD-ROM
built-in differentiation
one-step, two-step and multi-step problems
suggested whole school procedure for
problem solving
Primary
T. 01200 423405
E. [email protected]
www.headstartprimary.com