**Table of Contents**

** Unit 1 | Algebra**

Page 1 | Expressions and Formulae

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 2 | Symmetry

Page 3 | Coordinates

Page 4 | Perimeter, Area, Volume

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 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 **

## Ordering Numbers.

When ordering numbers, it is a good idea to

compare the digits in their place values, especially when the numbers look very similar. We compare the largest place value first, then slowly move down until we find a difference.

There are also some mathematical signs we can use to show the information we have found out

> This means ‘more than’ so for example, 10 > 5

Think of the signs as the snapping jaws of crocodiles.

The jaws of the crocodile should always be facing the bigger number. Remember, crocodiles are greedy so that’s the number they’ll eat.

We can also use ordering to compare decimals in the same way and we can also use ordering to list numbers from largest to smallest or smallest to largest.

- Re-arrange the following bike prices, in ascending order.

£140.21, £125.60, £141.33, £75.50, £149.5

- Re-arrange the following masses in descending order

6.6 kg, 9.6 kg, 0.6 kg, 42.1kg, 1000g

- Place the following numbers on the number line below

5.5, 8.5, 3.5, 4.5, 10.5

Correct the number sequence below by placing the correct sign, < or >, in each of the the boxes.

- 1400cm 1.5 km b) 1.6 1.5
- 1420 mi 1640mi

**1) Zain: favourite basketball hall in the rangers. He recorded how many people attend three game over the past three months**

Raina the attendance

a) To the nearest ten b) to the nearest hundred.

2) From the following set of numbers below, identify and underline the number which is nearest to 460.

420, 500, 440, 470, 450, 560, 455, 412

3) Re-arrange the number below in order, writing from the smallest and round each decimal below to one decimal place.

4.12, 0.4, 0.456, 0.3125, 0.419, 0.632.

4) Identify and underline the decimal which will round up to one as their nearest whole number.

Identify which product of the number which will equal to 180.

Underline your answer

142 + 81, 146 + 41 , 180 + 1, 146 + 4

5) 15 bags of potatoes cost £33.60. John pab in an order for 60bags. How much change will john get it he pay with seven £20 notes? show your working out.