Table of Contents

 

 Unit 1 | Algebra

Page 1 | Expressions and Formulae

Page 2 | Index notation

Page 3| Solving Linear Equations

Page 4| Expanding and Factorising

Page 5| Factorising Quadratics and expanding double brackets

Page 6| Patterns and Sequences

Page 7| Simultaneous Equations

Page 8| Changing the subject of a Formula

Page 9| Adding , subtracting algebraic formulas

 Unit 2 |Graphs

Page 1 | Straight line graphs

Page 2 | Graphs of Quadratic functions

Unit 3 |Geometry and Measure

Page 1 | Transformations

Page 2 | Symmetry

Page 3 | Coordinates

Page 4 | Perimeter, Area, Volume

Page 5 | Circle geometry

Page 6 | Measurement

Page 7 | Trigonometry

Page 8 | Pythagoras

Page 9 | Angles

Page 10 | Shapes

Page 11| Time

Page 12 | Locus

Unit 4 | Numbers

Page 1 | Speed, Distance and time

Page 2 | Rounding and estimating

Page 3 | Ratio and proportion

Page 4 | Factors, Multiples and primes

Page 5 | Powers and roots

Page 6 | Decimals

Page 7 | Positive and negative numbers

Page 8 | Basic operations

Page 9 | Fractions

Page 10 | Percentages

Unit 5 | Statistics and Probability

Page 1 | Sampling data (MA)

Page 2 | Recording and representing data

Page 3 | Mean median range and mode

Page 4 | Standard deviation

Unit 4 | Calculus

Ratio and proportion


  1. Ratios are way to express the size of one part in comparison to other parts.

 

  1. Proportions express the size of one part in comparison to the whole.

Example 1:

Ratio-and-proportion-example1

In this box of Lego bricks, there are 2 green bricks and 8 blue bricks. This means that for every one green brick, there are four blue bricks. We can write this as a ratio of 1:4.

If we want to write the number of green bricks as a proportion, it is 2/10, which can be simplified to 1/5.

3.  If you want to multiply something that has ratios, it is important to remember that whatever is done to one of the parts must be done to all of the other parts.

Example 2:

A recipe for sponge cake has 100g flour, 2 eggs and 75g of sugar. As a ratio, we can write this as 100:2:75

Let’s say that we need to find out how much sugar we would need in a cake of the same ratios but with 300g of flour. The amount of flour has been tripled, so the other two parts must also be tripled.

75 x 3 = 225 – the new cake would need 225g of sugar.

1)

Ratio-and-proportion-question1

Ratio-and-proportion-question2 Ratio-and-proportion-question3 Ratio-and-proportion-question4

2) There are 30 children in a class.For every 2 boys there are 3 girls.
How many girls are therebox

3) To make pancakes of for 8 people you need.

300g plan flour

6 large eggs

900ml milk

3 table spoon sunflower

How many eggs will be needed to serve 16 people.

4) In Toby’s class, There are 3 people with a cat for every person who has a dog.There are 24 people in his class.How many dogs are there?

5)

a) In this shape, How many triangle are there to squares?

b)What is the proportion of squares in the whole shape?

Ratio-and-proportion-question5

 

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