Maths GCSE Revision Support Booklet
GCSE Maths Exam Dates 2015
Thursday 4th June am
Paper 2 (calculator)
Monday 8th June am
Dear Parents, Guardians and GCSE students
Often, students just dont know how and what to revise and they
never get properly started. We hope this booklet will help you to help
your child make sense of the revision process, and to achieve their C
grade in Maths GCSE this summer.
From years of experience we have found that students who regularly
talk about their work at home are more likely to succeed when it
comes to exams.
This booklet aims to give you some starting points for revision in the
summer. Questions you could discuss over dinner or in the car, a list of
the most challenging topics (they may not crack all of them but should
know the majority), and a list of keywords. By talking through these
pages, confidence will grow and grades will improve. It does not matter
if the parent/guardian is confident with the maths or not, your student
will teach you!
Success in maths will change your childs life. Their future plans, and
the future that they havent yet planned for, could depend upon it.
We would like to work together with you to help support you in
providing you with the best possible future opportunities. Please stay
in touch with your Maths teacher and keep talking Maths at home!
The Stonehenge Maths Team
20 Key C Grade areas.
Please discuss these areas, rate them then use revision materials to
help revise them. Rate again at the end- which can you REALLY do?
1. Sharing out an amount in a given ratio
2. Rounding numbers to one or two decimal places, or to one significant
3. Add/subtract and multiply/divide fractions
4. Estimate the mean from a grouped frequency table
5. Compare two sets of data using an average and the range
6. Expectation in probability/Relative frequency
7. Converting between fractions, decimals and percentages.
8. Prime factorisation
9. Factorising a single bracket
10. Substituting numbers (especially negatives) into an algebraic expression
11. Solving an equation, especially with the unknown on both sides
12. Sequences, and the nth term
13. Drawing and recognising straight line graphs
14. Working out one number as a percentage of another
15. Finding the area and circumference of a circle
16. Finding and explaining missing angles on parallel lines
17. Gaining full marks on a trial and improvement question
18. Describing a rotation, reflection or translation
19. Using Pythagoras Theorem
20. Finding the surface area of prisms
If you are doing the HIGHER level exam, the
key additional topics for you to learn are:
2. Probability tree diagrams
3. Quadratic Equations
4. Simultaneous Equations
5. Cumulative Frequency
6. Reverse Percentages
7. Circle Theorems
8. Compound Interest
If you can really do all of the above; not just recognise the
words, but actually do questions on them, then you will get
a C grade.
Questions to ask your child, if they cannot answer then
this is something they need to revise:
Can you explain to me how to add two fractions with different
Can you tell me the decimal equivalent of 1/4? 1/5? 3/20?
What is 4.28 to one decimal place?
How would you share 65 in the ratio 3:2?
Can you round 57,346 to one significant figure? Can you explain to
me the difference between a factor and a multiple?
What is negative 4 add negative 7?
What are the rules about multiplying and dividing with powers?
How do you split a number up into its prime factors?
What is an improper fraction?
What is 16 as a percentage of 20?
How do you increase 40 by 15%, without a calculator?
How do you add 3.5 and 4.06?
Estimate the product of 4.79 and 13.22
What is the answer to 0.3 x 0.2?
What does frequency mean?
The mode of some numbers is 5. What does this mean?
Explain how to find the median of this list of numbers; 8, 8, 2, 4, 5, 3
What is the difference between continuous and discrete data?
What is a data collection sheet?
How do you start to draw a pie chart?
What do you always need to remember when you draw a stem-and-
What is the probability of rolling a 5 on an ordinary dice?
If the probability that it rains today is 0.4, what is the probability that
it doesnt rain?
How would you expand 5(y 2)?
What is the value of 3f + 2t, if f = 4 and t = -5?
What is factorising?
Solve 6k 4 = 26 Solve 4x + 3 = 2
How do you solve an equation when the unknown is on both sides?
What is the 7th term of the sequence 5n + 2?
What is the nth term rule for the sequence 7, 13, 19...?
What can you tell me about the line y = 3x -4? Its gradient?
Trial and Improvement questions always ask for the answer to
1 decimal place. What does this mean? How do you get full marks?
What does the graph of x = 2 look like? What about y = -4? y = x?
What shape will the graph of x2 + 3x 2 be?
What does order of rotational symmetry mean?
Which formula do you need for the circumference of a circle? Area?
Explain Pythagoras Theorem, what are the two types of question?
How many miles is equivalent to 15km?
How do you work out the bearing of town A from town B?
What equipment do you need for constructions and loci questions?
Why do you need a pair of compasses?
What is the difference between perimeter and area?
An answer for a volume question is 32cm2. How do you know this is
Whats so special about a regular polygon?
Explain how to find the area of a triangle.
What are Alternate angles? Corresponding? Allied?
Draw a rough sketch to show these types of angles.
The diameter of a circle is 5cm. How do you find its area?
How do you find the area of a semi-circle?
What does a question mean when it asks for the midpoint on a line?
What does translate mean? Is there a special way of writing it?
How did you do? Can you answer these questions?
What do you need to revise NOW??
Some technical words to learn and understand:
correlation grouped frequency table
mean; median; mode; range event
outcome relative frequency
sample space diagram integer
one significant figure congruent
highest common factor least common multiple
inequality nth term rule
quadrilateral all of them regular
bearing external/internal angle
circumference and prism
order of rotational symmetry hypotenuse
trial and improvement simplify midpoint
Some Key C Grade GCSE Questions- with answers and learning points
Sharing in a Ratio
An alloy is made from tin and copper.
The ratio of the weight of tin to the weight of copper is 1 : 4
Sally made 35 grams of the alloy. Work out the weight of copper she used
Calculating with Fractions
(a) Work out (b) Work out 5 2
Finding the mean from a table
The table shows the height of 100 five-year-old boys.
Calculate an estimate of the mean height of these boys.
Height, h (cm) Frequency
Add up the parts in the ratio (1+4 = 5). Then divide the total by this amount- this gives you the
value for one part (35 5 = 7). Sally has used 4 parts of copper, so 4x7 = 28g copper
For adding and subtracting, start by changing the fractions so they have a common denominator
(for a this is 40, for b this is 12). Work out the new numerators, then add/subtract these. For
mixed numbers, turn them into improper fractions first.
The answers are a) 31/40 b) 2 11/12
If the question was a multiply, just times the fractions across. For a divide; Keep, Change, Flip!
Find the mid-point of each grouped category
(85, 95, 105, 115) and multiply by the frequency
for each. Take the total of these values (10,060)
and divide it by the total frequency (100). The
answer to this question is 100.6cm
Drawing Straight line Graphs
Look for what goes into both parts of the expression and place this on the outside of the
brackets. To work out what goes inside, see what you have to multiply this by for each part.
Answer to a is 5(m + 2) and b is x(x 5)
Start by removing the smaller amount of the letter (2x) by subtracting this from both sides. This
leaves 2x + 1 = 12. Next