Excellence in Maths 1
Excellence in Maths 2
by George Fisher and Peter Howard
he Maths These workbooks provide challenging exercises on all major topics for junior and middle secondary students:
Book 1 junior secondary
Book 2 middle secondary
Answers are provided in a separate lift out section.
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Excellence in Maths Book 1 Contents
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1 |
Adding & subtracting fractions |
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2 |
Multiplying & dividing fractions |
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3 |
Fractions of quantities |
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4 |
Conversions of fractions, decimals, percentages |
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5 |
Adding & subtracting decimals |
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6 |
Multiplying & dividing decimals by powers often |
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7 |
Multiplication & division of decimals |
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8 |
Applications of fractions and percentages |
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9 |
Solid shapes |
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10 |
Measurement |
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11 |
The number plane and directed numbers |
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12 |
Simplifying algebraic expressions |
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13 |
Operations with indices |
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14 |
Using grouping symbols |
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15 |
Simple equations |
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16 |
Solving problems using algebra |
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17 |
Angles |
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18 |
Areas of plane figures |
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19 |
Mass and volume |
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20 |
Number theory, factors & multiples |
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21 |
Primes, composites, HCF and LCM by prime factors |
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22 |
Square and cube roots, divisibility tests |
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23 |
Pythagoras' theorem |
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24 |
Further percentage |
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25 |
Further algebra |
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26 |
Further indices |
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27 |
Further expansion |
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28 |
Further factorisation |
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29 |
Algebraic fractions |
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30 |
Challenge expansions |
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31 |
Further areas of plane figures |
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32 |
Volume of prisms |
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33 |
Further equations |
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34 |
Using equations to solve problems |
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35 |
Ratio and proportion |
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36 |
Rates |
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37 |
Scale drawing |
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38 |
Angles and parallel lines |
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39 |
Adjacent angles: complementary angles, |
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supplementary angles, angles at a point |
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40 |
Angle sum of triangle, quadrilateral |
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41 |
Isosceles and equilateral triangles |
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42 |
Non-numerical geometry exercises |
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43 |
Sorting and analysing data |
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44 |
Geometric constructions |
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45 |
Parts of a circle |
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46 |
Area of circle, volume of cylinder |
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47 |
Number plane coordinates and graphs |
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48 |
Congruent triangles |
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49 |
Similar triangles |
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Answers |
Excellence in Maths Book 2 Contents
1 Approximation and estimation
2 Using the hand calculator
3 Algebra: substitution, simplification
4 Algebraic fractions
5 Algebraic expressions with grouping symbols
6 Binomial products
7 Algebraic squares, difference of two squares
8 Metric system
9 Solving equations
10 Perimeter and area
11 Volume and surface area
12 Solving problems with equations
13 Area and volume: problems
14 Indices
15 Inequations
16 Consumer arithmetic
17 Formulas
18 Surds
19 Coordinate geometry
20 Statistics: measures of central tendency, cumulation, grouped data
21 Simultaneous equations
22 Factorisation
23 Trigonometry
24 Three-dimensional trigonometry
25 Geometry
26 Quadratic equations
27 Number-plane graphs
28 Further volume and surface area
29 Further statistics: measures of spread, range, mean and standard deviation30 Probability
31 Similarity
32 Further trigonometry: sine rule, cosine rule, area of a triangle
33 Circle geometry
34 Logarithms
35 Functions and mappings
36 Polynomials
37 Matrices
38 Set theory
39 Surveying
40 Navigation
Answers