**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 **

## Rounding Numbers.

In a question about rounding, the question will tell us which place value to round to. It may say ‘round to the nearest hundred’ or ‘round to the nearest thousand’

In order to round, we have to look at the digit to the right of the one we need to be rounding. So if we’re rounding to the nearest hundred, we have to look at the tens column.

If the number in that column is 4 or less , the number is rounded down.

If the number in that column is 5 or more, the number is rounded up.

We can also use this same method on decimal numbers.

** ****Sometimes,** if there is a question with complicated numbers in a calculation, you can use rounding to get a quick estimate of the answer

1) Zain: favorite basketball hall in the rangers. He recorded how many people attend three games 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 pub in an order for 60bags. How much change will john get it he pay with seven £20 notes? show your working out.