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
Subtraction Calculations
There are many different ways to subtract numbers from one another. It is important to choose a method that works quickly and easily for you. For subtracting two whole numbers, you may choose to do the sum in your head.
If you want to write it down, you can choose to use a number line. You start with the number that is being taken away and count upwards to the original number
Example 1:
Let’s say the question you’ve been given is 83 – 37 =?
This is how we would set up the number line:
We then could add up the differences
3 + 40 + 3 = 46
We can check this is the right answer by adding 46 and 37
37 + 46 = 83 so we know that 46 is definitely the right answer.
If you don’t want to use a number line, especially on larger numbers, it may be easier for you to use the column method for subtraction. Like in the addition method, we have to first line up the digits in the correct place value then begin the subtraction in the units column. However, if we don’t have a larger number on the top of the column, we have to borrow from the next column.
Example 2:
Let’s say that the question we’ve been given is 925 – 264 =?
his is how we would do the sum:
These methods would also work with decimal numbers but if you find decimals difficult, it might be easier for you to treat them as whole numbers during the calculation.
Example 3:
Let’s say that the question you’ve been given is 0.6 – 0.43 =?
First let’s rewrite this as 0.60 – 0.43. Once we’ve done this, all we need to do is find the answer to
60 – 43 which is 17. We have to turn this back into a decimal so the answer would be 0.17.
0.6 – 0.43 = 0.17
Alternatively, let’s have a look how this would look in column method form .
Subtraction Calculations Exercise
1) Write in the missing number or digits .
a) 150 – = 72
b) 58 – 32 = 454
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2) Which of these calculation have largest difference?
372 – 149 386 – 153
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a) John has 700 cards and gives 236 to Jane.
How many does John have now.? b) Polly has 842 gaming cards now .How many did she have before John gave her some?
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5) There are people on the bus . At the first stop, 12 people get off and at the second stop, 18 people get off.how many people are still on the bus?
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6) Write all the possible pairs of numbers that are positive, less than 30 and difference of 23.
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