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Long Addition and Subtraction

1
 
Long addition
 
 
 
2
 
Long subtraction
 
 
 

Long Multiplication and Division

3
 
Long multiplication part 1
 
 
 
4
 
Long multiplication part 2
 
 
 
5
 
Long multiplication part 3
 
 
 
6
 
Long multiplication using the grid method
 
 
7
 
Long multiplication of decimals
 
 
 
8
 
Multiplying decimal numbers using the grid method
 
 
9
 
Long division
 
 
 
10
 
Long division with decimal answers
 
 
 

Multiplying and Dividing by 10, 100, 1000

11
 
Multiplying by 10, 100, 1000
 
 
 
12
 
Dividing by 10, 100, 1000
 
 
 

Rounding

13
 
Rounding to decimal places (D.P)
 
 
 
14
 
Rounding to Significant Figures part 1
 
 
 
15
 
Rounding to Significant Figures part 2
 
 
 

Negative Numbers

16
 
Adding negative numbers
 
 
 
17
 
Subtracting negative numbers
 
 
 
18
 
Adding and subtracting negative numbers
 
 
 
19
 
Multiplying negative numbers
 
 
 
20
 
Dividing negative numbers
 
 
 
21
 
Negative or subtract
 
 

Factors and Multiples

22
 
Finding factors
 
 
 
23
 
Finding the HCF -- Highest Common Factor
 
 
 
24
 
Finding the HCF -- Highest Common Factor (higher only)
 
 
 
25
 
Finding multiples
 
 
 
26
 
Finding the lowest common multiple (LCM)
 
 
 
27
 
Finding the lowest common multiple (higher only)
 
 
 
28
 
Writing a number as a product of it Prime Factors
 
 
 

Powers

29
 
Expanding Powers
 
 
 
30
 
Simplifying Powers
 
 
 
31
 
Simplifying powers -- multiplying positive powers
 
 
 
32
 
Simplifying powers -- dividing positive powers
 
 
 
33
 
Simplifying powers raised to another power
 
 
 
34
 
Simplifying powers -- multiplying negative powers
 
 
 
35
 
Simplifying powers -- dividing negative powers
 
 
 
36
 
The power of zero -- exam tip
 
 
 

Powers (Higher Only)

37
 
Negative powers, part 1
 
 
 
38
 
Negative powers, part 2
 
 
 
39
 
Negative powers, part 3
 
 
 
40
 
Negative powers, part 4
 
 
 
41
 
Fractional powers and roots, part 1
 
 
 
42
 
Fractional powers and roots, part 2
 
 
 
43
 
Negative fractional powers and roots, part 1
 
 
 
44
 
Negative fractional powers and roots, part 2
 
 
 

Standard Form

45
 
Introduction to standard form
 
 
46
 
Converting standard form to ordinary numbers, part 1
 
 
 
47
 
Converting standard form to ordinary numbers, part 2
 
 
 
48
 
Changing numbers into standard form
 
 
 
49
 
Changing numbers less than 1 into standard form
 
 
 
50
 
Converting non-standard form numbers into standard form
 
 
 
51
 
Entering standard form into a calculator
 
 
 
52
 
Adding and subtracting standard form numbers
 
 
 
53
 
Multiplying standard form numbers (non-calculator)
 
 
 
54
 
Multiplying standard form numbers exam question
 
 
55
 
Dividing standard form numbers (non-calculator)
 
 
 

Fractions

56
 
Simplifying fractions
 
 
 
57
 
Adding fractions, part 1
 
 
 
58
 
Adding fractions, part 2
 
 
 
59
 
Adding fractions, part 3
 
 
 
60
 
Subtracting fractions, part 1
 
 
 
61
 
Subtracting fractions, part 2
 
 
 
62
 
Multiplying fractions
 
 
 
63
 
Dividing fractions
 
 
 
64
 
Equivalent fractions, part 1
 
 
 
65
 
Equivalent fractions, part 2
 
 
 
66
 
Finding a fraction of an amount
 
 
 
67
 
Ordering fractions
 
 
 

Mixed Numbers

68
 
Simplifying top heavy fractions into mixed numbers
 
 
 
69
 
Changing mixed numbers into top heavy fractions
 
 
 
70
 
Top heavy fractions into mixed numbers, exam tip
 
 
 
71
 
Adding mixed numbers
 
 
 
72
 
Subtracting mixed numbers
 
 
 
73
 
Multiplying mixed numbers and fractions
 
 
 
74
 
Dividing mixed numbers and fractions
 
 
 

Fractions, Percentages and Decimals

75
 
Changing between fractions, decimals and percentages
 
 
 

Changing Recurring Decimals into Fractions

76
 
Changing recurring decimals into fractions, part 1
 
 
 
77
 
Changing recurring decimals into fractions, part 2
 
 
 
78
 
Changing recurring decimals into fractions, part 3
 
 
 

Percentages

79
 
Finding percentages -- non calculator, part 1
 
 
 
80
 
Finding percentages -- non calculator, part 2
 
 
 
81
 
Finding decimal percentages, non-calculator
 
 
 
82
 
Finding percentages using a calculator
 
 
 
83
 
Increasing a number by a percentage (non-calculator)
 
 
 
84
 
Increasing a number by a percentage (calculator)
 
 
 
85
 
Decreasing a number by a percentage (non-calculator)
 
 
 
86
 
Decreasing a number by a percentage (calculator)
 
 
 
87
 
Writing a number as a percentage of another number
 
 
 
88
 
Finding the percentage a number increases by
 
 
 
89
 
Finding the percentage a number decreases by
 
 
 

Simple and Compound Interest

90
 
Simple interest, non-calculator
 
 
 
91
 
Compound interest part 1
 
 
 
92
 
Compound interest part 2, using the formula.
 
 
 
93
 
Compound interest, depreciation formula, part 1
 
 
 
94
 
Compound interest, depreciation formula, part 2
 
 
 

Reverse Percentages

95
 
Reverse Percentage, part 1
 
 
 
96
 
Reverse Percentage, part 2
 
 
 
97
 
Reverse Percentage, part 3
 
 
 
98
 
VAT percentage problems (Sales tax in other countries)
 
 
 

Ratio

99
 
Introduction to Ratios
 
 
 
100
 
Simplifying ratios
 
 
 
101
 
Simplifying ratios in the form 1:n
 
 
 
102
 
Sharing amounts into ratios, part 1
 
 
 
103
 
Sharing amounts into ratios, part 2
 
 
 
104
 
Sharing amounts into ratios, part 3
 
 
 
105
 
Ratio questions with ingredients
 
 
 
106
 
Ratio Practice Exam Question
 
 

Direct and Inverse Proportion

107
 
Direct proportion, word questions
 
 
 
108
 
Inverse proportion, word question
 
 
 

Exchange Rates

109
 
Exchange rates
 
 
 

Best Buy

110
 
Best buy - Calculator method
 
 
111
 
Best buy - Non Calc method
 
 
 

Rational and Irrational Numbers (Higher Only)

112
 
Rational and irrational numbers
 
 
 

Surds (Higher Only)

113
 
Simplifying surds, part 1
 
 
 
114
 
Simplifying surds, part 2
 
 
 
115
 
Simplifying surds with brackets
 
 
 
116
 
Simplifying surds -- dividing surds
 
 
 
117
 
Surds -- adding surds, part 1
 
 
 
118
 
Surds -- adding surds, part 2
 
 
 
119
 
Surds -- rationalising the denominator
 
 
 
 
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