Maths Revision & Practice Book 4 (Year 10)

Mathematics Revision and Practice is a series of books, each one of which provides a revision and homework program covering a full year's work. Each set of skills is clearly explained with diagrams and examples and is accompanied by a page of practice exercises.
Forty revision worksheets - one for each week of the school year - test all topics and ensure that by the end of the year all work has been revised and understood.
Answers are provided to the practice exercises and revision worksheets.
This Book 4 is for Year 10.
Book 4 Contents
About this book
Overview and record sheet
Topic 1: Number skills
Skill 1.1: Converting between decimals and fractions
Skil11.2: Converting between fractions and percentages
Skil11.3: Converting between decimals and percentages
Skill 1.4: Comparing parts of quantities
Skill 1.5: Mental calculation
Skill 1.6: Scientific notation
Skill 1.7: Working with surds
Number skills practice
Topic 2: Number applications
Skill 2.1: Sharing quantities in a given ratio
Skill 2.2: Using ratios within a population
Skill 2.3: Ratios and scale diagrams
Skill 2.4: Increasing or decreasing quantities in a ratio
Skill 2.5: Finding fractions of quantities
Skill 2.6: Expressing fractions of quantities as percentages
Skill 2.7: Finding percentages of quantities
Skill 2.8: Percentage increase or decrease
Skill 2.9: Rates
Skill 2.10 Converting rate units
Number applications practice
Topic 3: Algebra
Skill 3.1: Simplifying algebraic expressions
Skill 3.2: Expanding brackets
Skill 3.3 Algebraic fractions
Skill 3.4: Factorising algebraic expressions
Skill 3.5: Solving simple linear equations
Skill 3.6: Solving complex linear equations
Skill 3.7 Solving linear inequations
Skill 3.8: Working with literal equations
Skill 3.9: Simultaneous equations
Skill 3.10: Solving simple quadratic equations
Skill 3.11: Solving complex quadratic equations
Skill 3.12: Using the guess/check/improve method to solve equations
Skill 3.13: Constructing practical equations
Skill 3.14: Variation
Algebra practice
Topic 4: Indices
Skill 4.1 Numbers and indices
Skill 4.2: Multiplying index expressions
Skill 4.3: Dividing index expressions
Skill 4.4: Multiplying and dividing terms containing indices
Skill 4.5: Expanding brackets with indices
Skill 4.6: Negative indices
Skill 4.7: Fractional indices
Skill 4.8: Solving indicial equations
Skill 4.9: Working with numbers expressed in scientific notation
Indices practice
Topic 5: The Cartesian plane E
Skill 5.1: Finding the gradient of a line passing between two points
Skill 5.2: Finding the distance between two points
Skill 5.3: Sketching straight lines
Skill 5.4: Finding the equation of a straight line
Skill 5.5: Simultaneous equations
Skill 5.6: Graphing inequations
Skill 5.7: Plotting quadratic equations
Skill 5.8 Shifting parabolas
Skill 5.9: Sketching parabolas
Skill 5.10: Plotting cubic equations
Cartesian plane practice
Topic 6: Geometry
Skill 6.1: Angles between parallel lines
Skill 6.2: Angles in triangles and quadrilaterals
Skill 6.3: Properties of circles
Skill 6.4: Symmetrical properties of plane shapes
Skill 6.5: Changing shapes: enlargement and dilation
Skill 6.6: Describing properties of solids
Skill 6.7: Drawing diagrams of solids
Skill 6.8: Network diagrams
Skill 6.9: Triangle constructions
Geometry practice
Topic 7: Measurement
Skill 7.1: Pythagoras' theorem in two dimensions
Skill 7.2: Perimeter
Skill 7.3 Similar and congruent triangles
Skill 7.4: Area of simple shapes
Skill 7.5: Composite areas
Skill 7.6: Drawing accurate nets of solids
Skill 7.7: Surface area of solids
Skill 7.8: Volume of solids
Skill 7.9: Working with solids (Pythagoras' theorem in 3 dimensions)
Skill 7.10: Errors and uncertainty in measurement
Measurement practice
Topic 8: Trigonometry
Skill 8.1: Using sin to find side lengths
Skill 8.2: Using cos to find side lengths
Skill 8.3: Using tan to find side lengths
Skill 8.4: Using sin to find an angle
Skill 8.5: Using cos to find an angle
Skill 8.6: Using tan to find an angle
Skill 8.7: Composite figures
Skill 8.8: Practical applications in two dimensions
Skill 8.9: Practical applications in three dimensions
Trigonometry practice
Topic 9: Chance and data
Skill 9.1: Stem and leaf plots
Skill 9.2: Measures of central tendency
Skill 9.3: Measures of spread
Skill 9.4: Interquartile range and box and whisker plots
Skill 9.5: Displaying continuous data
Skill 9.6: Working with continuous data
Skill 9.7: Scatter plots and the lines of best fit
Skill 9.8: Probability of single and complementary events
Skill 9.9: Displaying sample spaces
Skill 9.10: Probability of multiple independent events
Skill 9.11: Probability of multiple dependent events
Skill 9.12: Probability and gambling odds
Skill 9.13: Simulating experiments
Chance and data practice
Topic 10: Using calculators
Skill 10.1: Rounding off numbers and estimating solutions
Skill 10.2: Simple calculations
Skill 10.3: Repeating to operation on a range of numbers
Skill 10.4: Fractions
Skill 10.5: Using the memory function
Skill 10.6: Scientific notation
Skill 10.7: Reciprocals
Skill 10.8: Trigonometric functions
Skill 10.9: Raising a number to a power
Skill 10.10 Finding the root of a number
Skill 10.11 Using the statistical functions
Calculator practice
Revision and Practice worksheets
Answers to practice sheets
Answers to worksheets
Year Level | Year 10 |
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ISBN | 9781875695478 |
Subject | Maths |