Edexcel GCSE (9–1) Maths Grade 4–5 Booster Workbook
Easy to use and revise with a write-in format Answers supplied at the back of the book
Assess your understanding and test problem solving skills with more in-depth questions
Ed Edexcel l GCSE M Maths th Higher Practice Book 978-0-00-811387-2
Grade 4–5 Booster Workbook
Ed Edexcel l GCSE EM Maths th Higher Student Book 978-0-00-811381-0
Edexcel GCSE (9–1) Maths
providing extra support where it is most needed. Written by a trusted maths teacher and author, the range of questions will help you focus on the key topics and skills required to succeed.
Edexcel GCSE Maths Higher Skills Book 978-0-00-811389-6
Edexcel GCSE (9–1)
Maths Grade 4–5 Booster Workbook
Greg Byrd Edexcel GCSE
Maths 4th Edition
Foundation Student Book
Edexcel GCSE
Edexcel GCSE
Maths
Maths
Foundation Practice Book
Foundation Skills Book
Use and apply standard techniques
Reason, interpret and communicate mathematically and slove problems
Kevin Evans Keith Gordon Brain Speed Michael Kent
Ed Edexcel l GCSE EM Maths th Foundation Student Book 978-0-00-811382-7
Rob Ellis
Sandra Wharton
ISBN 978-0-00-811420-6
Edexcel GCSE Maths Foundation Practice Book 978-0-00-811388-9
14206 GCSE Maths EdExcel Grade 4-5 Booster WB cvr.indd 1
Edexcel GCSE Maths Foundation Skills Book 978-0-00-811390-2
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20/12/2018 08:57
3 Ratio, proportion and rates of change 3.1 Sharing an amount in a given ratio 1
Share 50 in the ratio 2 : 3.
2
Share 400 g in the ratio 2 : 3.
3
Share £90 in the ratio 3 : 7.
4
Share 1 km in the ratio 1 : 99.
5
Share 100 ml in the ratio 2 : 3 : 5.
6
Share 13.5 kg in the ratio 6 : 5 : 1.
7
Concrete is made from cement, sand and gravel in the ratio 1 : 2 : 4. Paul needs three and a half tonnes of concrete. How much of each ingredient does he need?
8
Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their ages. a How much do they each receive? b If the money was shared out one year later, how much less would Charlie receive?
9
The sizes of the interior angles of a quadrilateral are in the ratio 2 : 3 : 6 : 7. Calculate the size of the smallest angle.
3.2 Using ratio
34
1
The ratio of male teachers to female teachers in a primary school is 1 : 9. There are 36 female teachers in the school. How many male teachers are there?
2
The ratio of male teachers to female teachers in a primary school is 8 : 7. There are 32 male teachers in the school. How many teachers are there altogether?
3 Ratio, proportion and rates of change
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3
The ratio of staff to students in a school is 2 : 35. There are 665 students in the school. How many staff are there?
4
The ratio of staff to Year 10 students to Year 11 students going on a school trip is 2 : 5 : 7. There are 225 Year 10 students on the trip. a How many Year 11 students are going on the trip? b How many people are going on the trip altogether?
5
Mahmoud is making a drink from lemonade, orange and ginger in the ratio 40 : 9 : 1. He has 4.5 litres of orange and uses it all. How much of the other ingredients does he use?
6
When the cost of a meal was shared between two families in the ratio 4 : 5, the smaller share was £31. How much did the meal cost altogether?
7
Write the ratio cos 60° : tan 45° in the form 1 : n.
3.3 Direct and indirect proportion 1
T is directly proportional to P. They are linked by the equation T = 6P. a Calculate the value of T when P = 3. b Calculate the value of P when T = 9.
2
R is inversely proportional to S.
2 . S a Calculate the value of R when S = 4. They are linked by the equation R =
b Calculate the value of S when R = 6.
3
A is directly proportional to the square of D. They are linked by the equation A = 3D2. a Calculate the value of A when D = 5. b Calculate the value of D when A = 108.
3.3 Direct and indirect proportion
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4
Here are four graphs. A y B
0
x
C
y
0
x
D
y
0
x
y
0
x
Write down the letter of the graph that could represent the relationship: a y is proportional to x2 b y is proportional to x 1 c y is proportional to . x
36
3 Ratio, proportion and rates of change
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