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
Multiplication Calculations
There are many different ways of multiplying numbers together. If you know your multiplication tables, this will be much easier. Mental methods such as multiplying by an easier number and then halving to get the answer or breaking one of the numbers down into tens and units and multiplying separately can be very helpful.
Example 1 :
If we want to do 67 x 5, we can find the answer quickly by doing 670 x 10 then halving the answer
If we have a question like 12 x 22, we can break 22 down into 20 and 2, then do 12 x 20 and 12 x 2.
For harder questions, it might be better to use a written method of multiplication instead.
Example 2 :
Let’s say that the sum we’ve been given is 164 x 82
We’ll use the grid method to find the answer first
We can also use a column method for the multiplication
Remember when multiplying decimals that you can still use multiplication facts; you just have to divide them by ten or a hundred etc depending on the decimal.
Example 3 :
If you were given the question ‘0.6 x 8 =?’, we can use our times tables for this.
We know that 6 x 8 = 48, therefore all we have to do is divide the answer by ten because 0.6 is ten times smaller than 6. So, the answer is 4.8
Multiplication Calculations Exercise
1) Add in the missing values:
6×13 = ×8=64
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3) Look at this question : 7×3 =?
Find two the number which give the same answer
×
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4) Fill the multiplication grip
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Eggs are padded in boxes of nine.
How many eggs does the backet use?
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Each mini bus can hold 28 children.
How many children can travel in total?
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8) Sam know that 28 × 14 = 392
Suggest how he know the answer to 14 × 14 without working out the multiplication .
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