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
Measures Problems
- Whenever you have to tackle a question which has different types of units in it, it is important to make sure that you first convert all the values that are involved so that they have the same units before doing the sum.
- If you don’t do this, the questions can get very tricky.
Example 1 :
Let’s say that we are baking a sponge cake and we need to know how much flour is in the recipe.
This is the recipe.
0.5kg plain flour
2 eggs
300g self-raising flour
100 ml of milk
400g butter
If we want to know how much flour we need in total, we would need to convert both types of flour to same units – one is in grams and the other is in kilograms.
0.5kg = 500g so we need 500g of plain flour and 300g of self-raising flour, which makes 800g of flour all together.
1) Leslie buys a 200cm long bar of chocolate .She splits it between 8 people.
- How many CM of chocolate does each person receive?
- How much chocolate will each person receive if the chocolate bar is split between 4 people.Give your answer in metres
2) There is a special offer. 1500ml bottles of lemonade now cointain 25% extra tree.How many ml of lemonade is there in a promotional bottle?
3) A gardener wants to install a tence around his garden.A section of tencing measure 2,75m long.The total perimeter of the garden is 228m.
a. How many sections of tencing does the gardner need?
b. What length of tencing will remain ? m.
4) Matthew cycles to school everyday.The distance from his heuse to school and back is 1400m
a) How far has Mathew travelled in five days?
b)Mathew travelled 23800 metres.How many days did he go school for.
SHOW YOUR WORKING
5) James knows 1 inch is about 2.5cm . James measures the weight of his door which is 78 inches .what is the height of his door in CM?