# Maths Revision & Practice Book 4 (Year 10)

**SKU**

*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 |