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

Conversion of Units


In the UK, we use the metric scale for measurements.

For different measurements, there will be different units.

For length, we can use millimetres (mm), centimetres (cm), metres (m) or kilometres (km). The unit we use depends on the length of what we are measuring – for example, it would be a little bit silly to use millimetres to measure the distance between London and Paris.

For mass (how much something weighs), we can use the units of grams (g), kilograms (kg) and tonnes (t).

For capacity (how much liquid is held), we can use millilitres (ml), centilitres (cl) or litres (l)

Sometimes we need to be able to convert between different units, so it is important to know how much of one unit makes up another.

Capacity

10ml = 1 cl

100cl = 1l

1000ml = 1l

 

Mass

1000g = 1kg

1000kg = 1 t

Length

10mm = 1cm

100cm = 1m

1000mm = 1m

1000m = 1km

 

If you want to convert between units, you first have to look at the converting fact of those units. Going from a larger unit (like litres ) to a smaller unit (like millilitres) is always multiplication and going from a smaller unit to a larger unit is always division.

Example 1 :

Let’s say that the question is asking us to convert 382g into kg.

1. We have to find the conversion fact for grams to kilograms

1000g = 1kg

2. Next, we have to decide if the unit are becoming smaller or bigger, so we know whether to multiply or divide.

Kilograms are bigger than grams so we have to divide.

3. Finally we can do the sum (We divide by 1000 because kg is 1000x bigger).

382 ÷ 1000 = 0.382 kg

 

There is also another method of measurement which is used less frequently nowadays called the Imperial scale.

We still need to know how to convert some metric measurements to Imperial measurements and back, though. This table shows some of the most common conversions.

Metric to Imperial

8km = 5 miles

1kg =  2 pounds

1l = 2 pints

4.5 l = 1 gallon/ 8 pints

It’s important to remember that all these measurements are approximate, so they won’t be fully correct

If we want to convert between units that do not convert easily like multiplying by ten or hundred, there is another method we can use.

Example 2 :

Let’s say that we wanted to convert 35 miles into >kilometres.

1.> Firstly, we find the conversion rule.

           5 miles = 8km

2. Secondly, we compare the number we have to the number in the> conversion rule.

         3.> Finally, we do the same thing to the other side of the> conversion fact.

1) 

a. There are      box                                 ml  in one litre

 

 

b. There are                box           CM in one metre

 

 

c. There are            box               g   in the kilogram.

 

2) A baker is preparing to bake a cake. He wants to convert  all his imperial units into metric units.

Imperial         Metric

2 pounds        1 kg

1 ounce           30 gram

 

a. He require 3 pounds of flour. How many kg is this ?

b. He uses 7 ounces of sugar. How many grams is this ?

 

3) Ellie measures the length of her hair.its 47 CM long.

  1. How many mm is this?
  2. She cuts a selection of hair and weight it.if weight 0.015kg. How many grams is this?

4) 

  1. On a road trip,since spots a sign.
Diggle   48km

 

a) Since deduces that 8 km is the same as 5 miles .how many miles is it to diggle?

box                    Miles

 

b)Simon is 35 miles away from the nearest petrol station. How many km is this?

box                                   Km

 

5) Convert 3050ml into litres.

box                                 Litres

 

 

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