Cover; Book title; Copyright; Contents; Introduction; Number and algebra; 1 The language of number; Definitions; Principles of number systems; Powers and roots; Primes, factors and multiples; Highest common factor and lowest common multiple; 2 Whole numbers; Addition and subtraction without a calculator; Multiplication and division without a calculator; 3 Decimals; Adding and subtracting decimals; Multiplying and dividing decimals; 4 Negative numbers; Adding and subtracting negative numbers; Multiplying and dividing negative numbers; 5 Fractions; Equivalent fractions.

Adding and subtracting fractions and mixed numbersMultiplying and dividing fractions and mixed numbers; Fractional change; 6 Approximation and estimation; Approximation; Estimation; 7 The order of operations; Using the correct order of operations; Inserting operations; Single-step calculations on a calculator; Multistep calculations on a calculator; 8 Reciprocals; Finding the reciprocal of a value; Properties of reciprocals; Finding reciprocals on a calculator; 9 Ratio; Simplifying ratios; Dividing in a given ratio; Solving problems using ratios; 10 Percentages and finance.

Converting between percentages, fractions, decimals and ratiosFinding a percentage of a quantity; Percentage increase and decrease; Writing one number as a percentage of another; Percentage change; Reverse percentages; Percentages and finance; 11 Bounds; Measurement; Upper and lower bounds; Combining measurements; Calculating the upper and lower bounds of the values of expressions; 12 Standard form; Writing numbers in standard form; Calculating with numbers in standard form; Standard form on a calculator; 13 Rational and irrational numbers; Definitions; Recurring decimals; 14 Surds.

Simplifying surdsThe rules of surds; Rationalising the denominator; 15 Basic Algebra; Algebraic expressions; Conventions in algebra; Using index notation in algebra; Substitution; 16 Brackets; Expanding brackets; Multiplying two brackets together; 17 Linear equations; Solving simple equations; Equations with the variable on both sides; Equations with brackets; Equations with fractions; More complicated equations with fractions; Forming equations to solve problems; 18 Trial and improvement; Solving polynomial equations by trial and improvement; Problem solving using trial and improvement.

19 FactorisationCommon factors; Grouping; The difference of two squares; Factorising quadratic expressions; Expressions requiring several methods for factorisation; 20 Algebraic fractions; Simplifying algebraic expressions; Adding and subtracting algebraic fractions; Multiplying and dividing algebraic fractions; 21 Solving quadratic equations; Solving quadratic equations by factorisation; Solving quadratic equations using the quadratic formula; Solving quadratic equations involving algebraic fractions; Using quadratic equations to solve problems; 22 Straight lines and linear graphs.

Build all the necessary skills to progress your students' learning and develop their problem-solving skills with this fully updated edition of the market-leading Student's Book for CCEA GCSE Mathematics. - Supports you and your students through the new specifications with content mapped to the new module options with material for each module (M1/M5, M2/M6 F or M3/M7 and M4/M8 H) clearly indicated throughout. - Prepares students for assessment with plenty of practice questions divided into calculator and non-calculator, plus links to further relevant and appropriate exam questions.- Develops u.

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