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