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
Calculators
Using a calculator can be very helpful in mathematics but it’s important to know how to use the calculator correctly, or you could still end up with the wrong answer.
Difficult, long-winded question may need more than one step if you want to get the answer right.
Example 1 :
Let’s say that the question we got is (49.2 + 7.6) – (18.75 x 2). We’ll break this down into steps.
- First, we’ll do 49.2 + 7.6 and write its answer down.
- Then, we’ll do 18.75 x 2 and write its answer down
- Finally, we can do the subtraction.
Using a calculator to convert fractions to decimals is really easy! All you need to do is divide the numerator by the denominator.
Example 2 :
If we needed to convert 
into a decimal, all we need to do is take 5 and divide it by 8
5 ÷ 8 = 0. 875 therefore = 0.375
Calculators are also really handy when you’re trying to find the answer to a question that might take a lot of working out.
Example 3 :
Let’s say the question we’ve been given is ‘find two numbers that add together to make 20 and multiply together to make 96’.
We know which pairs of numbers will add together to make 20 so let’s do a couple of sums to try and guess the answer.
10 x 10 = 100 – this answer is too big
15 x 5 = 75 – this answer is too small
The real answer must be in between these two
12 x 8 = 96 – we got the right answer
With a calculator, we could have done lots of sums very quickly to get the right answer.
Calculators Exercise
1) Using a calculator, write the answer to the following 49.14 ÷6.3= [bg_collapse view=”link” color=”#fafafa” expand_text=”Reveal Answer” collapse_text=”Hide Answer” inline_css=”background: #2ea3f2; padding: 9px; font-size: 14px; font-weight: 600;” ] [/bg_collapse]
2) Angle has three pieces of rope. The first is 250cm and the second is 176cm. The third pieces of rope has a length thats exactly between the first and the second pieces.
[bg_collapse view=”link” color=”#fafafa” expand_text=”Reveal Answer” collapse_text=”Hide Answer” inline_css=”background: #2ea3f2; padding: 9px; font-size: 14px; font-weight: 600;” ] [/bg_collapse]
3) Priya’s school was having a bun sale. They managed to sell 423 buy at 25p each. How much money did they make?
[bg_collapse view=”link” color=”#fafafa” expand_text=”Reveal Answer” collapse_text=”Hide Answer” inline_css=”background: #2ea3f2; padding: 9px; font-size: 14px; font-weight: 600;” ] [/bg_collapse]
4) Change these fraction into decimals
a) 3/8 b) 3/5 c) 1/3
[bg_collapse view=”link” color=”#fafafa” expand_text=”Reveal Answer” collapse_text=”Hide Answer” inline_css=”background: #2ea3f2; padding: 9px; font-size: 14px; font-weight: 600;” ] [/bg_collapse]
5) If the area of a neom is 81 m2 , what is the length of one side?
[bg_collapse view=”link” color=”#fafafa” expand_text=”Reveal Answer” collapse_text=”Hide Answer” inline_css=”background: #2ea3f2; padding: 9px; font-size: 14px; font-weight: 600;” ] [/bg_collapse]
6) Write in the missing number
134.76 ÷ = 112.3
[bg_collapse view=”link” color=”#fafafa” expand_text=”Reveal Answer” collapse_text=”Hide Answer” inline_css=”background: #2ea3f2; padding: 9px; font-size: 14px; font-weight: 600;” ] [/bg_collapse]
7) (18 + 42)×(76 – 67) =
[bg_collapse view=”link” color=”#fafafa” expand_text=”Reveal Answer” collapse_text=”Hide Answer” inline_css=”background: #2ea3f2; padding: 9px; font-size: 14px; font-weight: 600;” ] [/bg_collapse]
8) Harmony is thinking of a number.If she multiplies it by itself 3 times, the answer is 512. What is the number ?
[bg_collapse view=”link” color=”#fafafa” expand_text=”Reveal Answer” collapse_text=”Hide Answer” inline_css=”background: #2ea3f2; padding: 9px; font-size: 14px; font-weight: 600;” ] [/bg_collapse]
