GCSE MATHEMATICS
Aiming for Grade 1
REVISION BOOKLET
Exam Dates:
________________
________________
________________
Name: ______________________________
1
,Contents
Page:
Number:
Types of number 3
Place value 6
Directed numbers 8
Algebra:
Coordinates 12
Patterns and sequences 15
Collecting like terms (simplifying) 19
Solving linear equations 22
Inequalities 25
Shape, Space and Measure:
Types of shapes and properties 28
Reflection, rotation and symmetry 32
Area and perimeter of rectangles and triangles 36
Measures 41
Data Handling:
Averages 45
Tally charts and bar graphs 47
Pictograms 51
Probability:
Probability 53
Ratio and Proportion:
Simplifying ratios 55
Simplifying fractions and fractions of amounts 56
Fractions, decimals and percentages 59
2
,Types of Numbers
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.
A power tells us how many times the base number has been multiplied by itself
A root is the opposite of a power.
A square number is the result of multiplying an integer (whole number) by itself.
Questions:
1. (a) Write down the square of 8
…………………….
(1)
(b) Write down the value of 10³
…………………….
(1)
(c) Estimate the value of √20
…………………….
(1)
(Total for Question is 3 marks)
2. Here is a list of eight numbers: 4 5 14 25 29 30 33 39 40
From the list, write down
(i) a factor of 20
…………………….
(ii) a multiple of 10
…………………….
(iii) the prime number that is greater than 15
…………………….
(Total for Question is 3 marks)
3. Express 180 as a product of its prime factors.
…........................................................
(Total for Question is 3 marks)
3
, 4. (a) Write down the value of 7²
…………………….
(1)
(b) Write down the value of √25
…………………….
(1)
(c) Write down the value of 2³
…………………….
(1)
(Total for Question is 3 marks)
5. (a) Write down the value of √81
…………………….
(1)
(b) Work out the value of 5² + 2³
…………………….
(2)
(Total for Question is 3 marks)
6. Here is a list of numbers:
2 3 10 12 15 16 24
From the list write down
(i) an odd number
…………………….
(1)
(b) a multiple of 6
…………………….
(1)
(c) a factor of 18
…………………….
(1)
(Total for Question is 3 marks)
7. Here is a list of numbers.
2 3 5 8 10 16 21 24
From the numbers in the list,
(a) write down an odd number
…………………….
(1)
(b) write down the square number
…………………….
(1)
(c) write down the number which is a multiple of 6
…………………….
(1)
(Total for Question is 3 marks)
4
Aiming for Grade 1
REVISION BOOKLET
Exam Dates:
________________
________________
________________
Name: ______________________________
1
,Contents
Page:
Number:
Types of number 3
Place value 6
Directed numbers 8
Algebra:
Coordinates 12
Patterns and sequences 15
Collecting like terms (simplifying) 19
Solving linear equations 22
Inequalities 25
Shape, Space and Measure:
Types of shapes and properties 28
Reflection, rotation and symmetry 32
Area and perimeter of rectangles and triangles 36
Measures 41
Data Handling:
Averages 45
Tally charts and bar graphs 47
Pictograms 51
Probability:
Probability 53
Ratio and Proportion:
Simplifying ratios 55
Simplifying fractions and fractions of amounts 56
Fractions, decimals and percentages 59
2
,Types of Numbers
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.
A power tells us how many times the base number has been multiplied by itself
A root is the opposite of a power.
A square number is the result of multiplying an integer (whole number) by itself.
Questions:
1. (a) Write down the square of 8
…………………….
(1)
(b) Write down the value of 10³
…………………….
(1)
(c) Estimate the value of √20
…………………….
(1)
(Total for Question is 3 marks)
2. Here is a list of eight numbers: 4 5 14 25 29 30 33 39 40
From the list, write down
(i) a factor of 20
…………………….
(ii) a multiple of 10
…………………….
(iii) the prime number that is greater than 15
…………………….
(Total for Question is 3 marks)
3. Express 180 as a product of its prime factors.
…........................................................
(Total for Question is 3 marks)
3
, 4. (a) Write down the value of 7²
…………………….
(1)
(b) Write down the value of √25
…………………….
(1)
(c) Write down the value of 2³
…………………….
(1)
(Total for Question is 3 marks)
5. (a) Write down the value of √81
…………………….
(1)
(b) Work out the value of 5² + 2³
…………………….
(2)
(Total for Question is 3 marks)
6. Here is a list of numbers:
2 3 10 12 15 16 24
From the list write down
(i) an odd number
…………………….
(1)
(b) a multiple of 6
…………………….
(1)
(c) a factor of 18
…………………….
(1)
(Total for Question is 3 marks)
7. Here is a list of numbers.
2 3 5 8 10 16 21 24
From the numbers in the list,
(a) write down an odd number
…………………….
(1)
(b) write down the square number
…………………….
(1)
(c) write down the number which is a multiple of 6
…………………….
(1)
(Total for Question is 3 marks)
4
