Maths revision
(Revised) GCSE FOUNDATION REVISION GUIDE
For Linear Course
Written by MR P BENSON – Maths Tutor
MARCH / APRIL 2005
VERSION 1 ISSUED FEBRUARY 2006
RE-UPDATED VERSION 2 MARCH 2008
VERSION 3 UPDATED FOR NEW SPECIFICATION 2011
CONTENTS PAGE
Section Topic Page
A Percentages 3
B Interest 3
C Nth Terms 3
D Ratio 4
E Lowest Common Multiples 4
F Highest Common Factors 4
G Prime Numbers 5
H Fractions 5
I Fractions/Decimals/Percentages 6
J Trial and Improvement 6
K Brackets 6
L Factorising 7
M Standard Form 7
N Indices 7
O Angles 8
P Area Formula 8
Q Perimeter 9
R Volume 9
S Pythagoras Theorem 10
T Bearings 10
U Interior/Exterior Angles in Polygons 10
V Averages 11
W Probability 12
X Relative Frequency 12
Y Scatter Diagrams 13
Z Pie Charts 13
AA Equation of Straight Lines 14
BB Compound Measures e.g. Speed 14
CC Solving Equations 15
GCSE FOUNDATION REVISION GUIDE
A PERCENTAGES
To find a percentage of an amount work out, percentage 100 x amount
e.g. To find 60% of 440 work out, 60 100 x 440 = 264 or
To find VAT on an item, repeat the above but use 17.5%
To find a percentage increase, find the percentage of the amount using the method above and then ADD the answer to the original amount
To find a percentage decrease, find the percentage of the amount using the method above and then SUBRACT the answer from the original amount
e.g. to increase £400 by 45%, find 45% of £400 by doing 45 100 x 400 = 180 so new amount = 400 + 180 = £580
B INTEREST
SIMPLE – find the percentage of the amount using the standard method. We then assume each year gets the same amount so we multiply the answer by the number of years
COMPOUND – we need to find the
For Linear Course
Written by MR P BENSON – Maths Tutor
MARCH / APRIL 2005
VERSION 1 ISSUED FEBRUARY 2006
RE-UPDATED VERSION 2 MARCH 2008
VERSION 3 UPDATED FOR NEW SPECIFICATION 2011
CONTENTS PAGE
Section Topic Page
A Percentages 3
B Interest 3
C Nth Terms 3
D Ratio 4
E Lowest Common Multiples 4
F Highest Common Factors 4
G Prime Numbers 5
H Fractions 5
I Fractions/Decimals/Percentages 6
J Trial and Improvement 6
K Brackets 6
L Factorising 7
M Standard Form 7
N Indices 7
O Angles 8
P Area Formula 8
Q Perimeter 9
R Volume 9
S Pythagoras Theorem 10
T Bearings 10
U Interior/Exterior Angles in Polygons 10
V Averages 11
W Probability 12
X Relative Frequency 12
Y Scatter Diagrams 13
Z Pie Charts 13
AA Equation of Straight Lines 14
BB Compound Measures e.g. Speed 14
CC Solving Equations 15
GCSE FOUNDATION REVISION GUIDE
A PERCENTAGES
To find a percentage of an amount work out, percentage 100 x amount
e.g. To find 60% of 440 work out, 60 100 x 440 = 264 or
To find VAT on an item, repeat the above but use 17.5%
To find a percentage increase, find the percentage of the amount using the method above and then ADD the answer to the original amount
To find a percentage decrease, find the percentage of the amount using the method above and then SUBRACT the answer from the original amount
e.g. to increase £400 by 45%, find 45% of £400 by doing 45 100 x 400 = 180 so new amount = 400 + 180 = £580
B INTEREST
SIMPLE – find the percentage of the amount using the standard method. We then assume each year gets the same amount so we multiply the answer by the number of years
COMPOUND – we need to find the