GCSE EDEXCEL MATHS
Aiming for Grade 3
REVISION BOOKLET
REMEMBER:
Maths Club on Thursdays
2017 Exam Dates:
Thursday 25th May at 9am
Thursday 8th June at 9am
Tuesday 13th June at 9am
Name: ______________________________
1
,Contents
Page:
Number:
HCF and LCM 3
Laws of indices 7
Rounding 9
BIDMAS 10
Algebra:
nth term 12
Sketching linear graphs 15
Expanding and factorising (single brackets) 23
Solving linear equations 25
Solving linear inequalities 28
Substituting 30
Shape, Space and Measure:
Angles in parallel lines 33
Constructing triangles 39
Bearings 41
Transformations 45
Area and circumference of circles 50
Area problems 52
Volume and surface area of prisms 58
Speed, distance and time 62
Data Handling:
Averages problems 65
Scatter graphs 69
Probability:
Relative frequency 75
Ratio and Proportion:
Dividing into a ratio 78
Recipes 81
Percentages of amounts, increasing and decreasing 84
Fractions, decimals and percentages 88
2
,HCF and LCM
Things to remember:
A factor is a whole number that divides exactly into another number.
A multiple is a number that may be divided by another a certain number of times without a
remainder.
A prime number only has 2 factors – 1 and itself.
HCF is an abbreviation of Highest Common Factor and LCM of Lowest Common Multiple.
Questions:
1. Tom and Amy set the alarms on their phones to sound at 6.45 am.
Both alarms sound together at 6.45 am.
Tom's alarm then sounds every 9 minutes.
Amy's alarm then sounds every 12 minutes.
At what time will both alarms next sound together?
...........................................................
(Total for question = 3 marks)
2. Caroline is making some table decorations.
Each decoration is made from a candle and a holder.
Caroline buys some candles and some holders each in packs.
There are 30 candles in a pack of candles.
There are 18 holders in a pack of holders.
Caroline buys exactly the same number of candles and holders.
(i) How many packs of candles and how many packs of holders
does Caroline buy?
........................................................... packs of candles
........................................................... packs of holders
Caroline uses all her candles and all her holders.
(ii) How many table decorations does Caroline make?
........................................................... table decorations
(Total for question = 5 marks)
3
, 3. Buses to Acton leave a bus station every 24 minutes.
Buses to Barton leave the same bus station every 20 minutes.
A bus to Acton and a bus to Barton both leave the bus station at 9 00 am.
When will a bus to Acton and a bus to Barton next leave the bus station at the same time?
...........................................................
(Total for Question is 3 marks)
4. Rita is going to make some cheeseburgers for a party.
She buys some packets of cheese slices and some boxes of burgers.
There are 20 cheese slices in each packet.
There are 12 burgers in each box.
Rita buys exactly the same number of cheese slices and burgers.
(i) How many packets of cheese slices and how many boxes of burgers does she buy?
........................................................... packets of cheese slices
........................................................... boxes of burgers
Rita wants to put one cheese slice and one burger into each bread roll.
She wants to use all the cheese slices and all the burgers.
(ii) How many bread rolls does Rita need?
........................................................... bread rolls
(Total for Question is 4 marks)
4
Aiming for Grade 3
REVISION BOOKLET
REMEMBER:
Maths Club on Thursdays
2017 Exam Dates:
Thursday 25th May at 9am
Thursday 8th June at 9am
Tuesday 13th June at 9am
Name: ______________________________
1
,Contents
Page:
Number:
HCF and LCM 3
Laws of indices 7
Rounding 9
BIDMAS 10
Algebra:
nth term 12
Sketching linear graphs 15
Expanding and factorising (single brackets) 23
Solving linear equations 25
Solving linear inequalities 28
Substituting 30
Shape, Space and Measure:
Angles in parallel lines 33
Constructing triangles 39
Bearings 41
Transformations 45
Area and circumference of circles 50
Area problems 52
Volume and surface area of prisms 58
Speed, distance and time 62
Data Handling:
Averages problems 65
Scatter graphs 69
Probability:
Relative frequency 75
Ratio and Proportion:
Dividing into a ratio 78
Recipes 81
Percentages of amounts, increasing and decreasing 84
Fractions, decimals and percentages 88
2
,HCF and LCM
Things to remember:
A factor is a whole number that divides exactly into another number.
A multiple is a number that may be divided by another a certain number of times without a
remainder.
A prime number only has 2 factors – 1 and itself.
HCF is an abbreviation of Highest Common Factor and LCM of Lowest Common Multiple.
Questions:
1. Tom and Amy set the alarms on their phones to sound at 6.45 am.
Both alarms sound together at 6.45 am.
Tom's alarm then sounds every 9 minutes.
Amy's alarm then sounds every 12 minutes.
At what time will both alarms next sound together?
...........................................................
(Total for question = 3 marks)
2. Caroline is making some table decorations.
Each decoration is made from a candle and a holder.
Caroline buys some candles and some holders each in packs.
There are 30 candles in a pack of candles.
There are 18 holders in a pack of holders.
Caroline buys exactly the same number of candles and holders.
(i) How many packs of candles and how many packs of holders
does Caroline buy?
........................................................... packs of candles
........................................................... packs of holders
Caroline uses all her candles and all her holders.
(ii) How many table decorations does Caroline make?
........................................................... table decorations
(Total for question = 5 marks)
3
, 3. Buses to Acton leave a bus station every 24 minutes.
Buses to Barton leave the same bus station every 20 minutes.
A bus to Acton and a bus to Barton both leave the bus station at 9 00 am.
When will a bus to Acton and a bus to Barton next leave the bus station at the same time?
...........................................................
(Total for Question is 3 marks)
4. Rita is going to make some cheeseburgers for a party.
She buys some packets of cheese slices and some boxes of burgers.
There are 20 cheese slices in each packet.
There are 12 burgers in each box.
Rita buys exactly the same number of cheese slices and burgers.
(i) How many packets of cheese slices and how many boxes of burgers does she buy?
........................................................... packets of cheese slices
........................................................... boxes of burgers
Rita wants to put one cheese slice and one burger into each bread roll.
She wants to use all the cheese slices and all the burgers.
(ii) How many bread rolls does Rita need?
........................................................... bread rolls
(Total for Question is 4 marks)
4