Gfs Maths Year 8 Revision Booklet ( Pdfdrive.com )

GFS Maths Year 8 Revision Booklet

Student Name: Student Tutor Group: Maths Class: Maths teacher:

How to use this revision booklet Repeat these steps till you are 100% with EVERY topic. Step 1 Look at the scheme of work – this lists all the topics you are learning this year, and those in previous years. Highlight or note down the topics you are not 100% confident with. Step 2 Revise the topics you need to go over, using a revision guide or any of the following resources, ranked from 1st to 5th in how useful:  Hegartymaths.com (videos and practice questions for EVERY TOPIC UP TO GCSE) Choose any lesson from each of the 6 strands or search for the lesson in the search bar at the top

 corbettmaths.com (really good resource, with videos and lots of practice)  khanacademy.com (helpful videos walked through clearly)  mathsisfun (good examples to work through and understand)  GCSE bbc bitesize (clear examples in sections)

Step 3 Practise questions on that topic using this revision booklet, and the other resources. Step 4: Ask your maths teacher for extra help if you are still stuck!

In Year 7 you should have studied the following topics:

In this booklet there will be information and questions on the topics covered in Year 8. Therefore if you see any topics in the Year 7 scheme of work that you think you need to revise visit websites mentioned above or speak to your teacher. These are the topics we have looked at in Year 8:

Note, some pupils may have covered less material dependent on their starting point.

Autumn 1 Revision Primes A prime number is a number that only has two factors: itself and 1. The following numbers are prime numbers: 2, 5, 7, 11, 13, 17, …. a) What are the next 5 prime numbers?

b) Why is 1 not a prime number?

Indices

Write these numbers in index form: Example

3

3

a) b) 2

2

2

c) 5

5

5

5

3

3

3

3

HCF and LCM This section introduces the idea of the highest common factor and lowest common multiple of a pair of numbers. The highest common factor (HCF) of two whole numbers is the largest whole number which is a factor of both.

HCF Example Consider the numbers 12 and 15: The factors of 12 are : 1, 2, 3, 4, 6, 12. The factors of 15 are : 1, 3, 5, 15. 1 and 3 are the only common factors (numbers which are factors of both 12 and 15). Therefore, the highest common factor of 12 and 15 is 3.

The lowest common multiple (LCM) of two whole numbers is the smallest whole number which is a multiple of both.

LCM Example Consider the numbers 12 and 15 again: The multiples of 12 are : 12, 24, 36, 48, 60, 72, 84, .... The multiples of 15 are : 15, 30, 45, 60, 75, 90, .... 60 is a common multiple (a multiple of both 12 and 15), and there are no lower common multiples. Therefore, the lowest common multiple of 12 and 15 is 60.

Prime Factorisation

Example

Write each of the following numbers as a product of their prime factors:

72

So

2

3

60

85

52

100

Using Venn diagrams to find the LCM and HCF (a) Find the highest common factor and lowest common multiple of 50 and 70 by following the steps below: What is 50 as a product of its prime factors?

What is 70 as a product of its prime factors?

What is the HCF of 50 and 70? (find it by multiplying together the factors which appear in both lists above)

What is the LCM of 50 and 70? (find it by multiplying together the factors which appear in either list above)

(b) Find the highest common factor and lowest common multiple of 900 and 270 by following the steps below: What is 900 as a product of its prime factors?

What is 270 as a product of its prime factors?

What is the HCF of 900 and 270? (find it by multiplying together the factors which appear in both lists above)

What is the LCM of 900 and 270? (find it by multiplying together the factors which appear in either list above)

Adding and Subtracting Fractions

Autumn 2 Revision Negative Numbers Adding and Subtracting

Multiplying and Dividing

Formulae and expressions

Extension

Linear Equations

Bronze

Silver

Gold

Linear Sequences: nth terms Example 2, 5, 8, 11, 14 The difference is 3. So it is like the 3 times table but everything has shifted down one. So the formula is 3n – 1.

Spring 1 Revision Angles on a straight line, around a point, vertically opposite angles and angles in parallel lines

Types of triangles and angles in triangles

Types of quadrilaterals and angles in quadrilaterals Name each of the following shapes:

Area and perimeter of composite shapes Calculate the area and perimeter of these shapes: 1.

2.

Area of trapeziums and parallelograms

Conversions between units of length and units of area Convert these following units of length

Convert these units of area

Spring 2 Revision Convert between fractions, decimals and percentages

Finding a percentage of an amount

Percentage increase and decrease

Finding the whole given the percentage

Ratio

Speed, Distance and Time

Summer 1 Revision Rounding to decimal places

Rounding to significant figures

Parts of a circle

Area and circumference of a circle

Work out the area and circumference of:

3D shapes and their nets Question 1: Name each of the shapes below and work out how many edges, faces and vertices they have:

Surface area

Volume of cuboids and other prisms

Summer 2 Revision Tables and charts

Averages, range and outliers