Supports the intermediate student aiming for the Intermediate Tier.Proven formula provides comprehensive theory with worked examples, a wealth of practice questions plus integrated revision.Rigorous exam preparation with full coverage of all specifications.The text also provides continuity from Year 9.Summaries and revision exercises throughout the book provide consolidation.
Table of Contents
Part 1 Indices: positive indices; expressing a number as a product of prime factors in index form; laws of indices; negative indices; meaning of reciprocal; zero index. Part 2 Using a calculator: mentally multiplying and dividing by single digit multiples of 10; estimating results of calculations; using brackets on a calculator to evaluate calculations in one stage; using a calculator to evaluate powers and roots of numbers. Part 3 Standard form: converting numbers to and from standard form; working with numbers in standard form. Part 4 Probability: addition of probabilities; multiplication of probabilities; tree diagrams. Part 5 Sequences: finding the terms of a sequence from a rule; finding a formula for the "n"th term in terms of "n"; using difference tables. Part 6 Algebraic fractions: simplifying fractions; multiplication and division of fractions; addition and subtraction of fractions; the difference between expressions and equations; solving equations containing fractions. Part 7 Proportion: direct proportion; solving direct proportion problems using ratios or by the unitary method; solving inverse proportion problems by the constant product method or by the unitary method. Part 8 Expanding brackets: expanding expressions containing brackets and simplifying them; expanding the product of two brackets; perfect squares and the difference between two squares. Part 9 Formulas: constructing formulas; evaluating formulas using fractions, decimals and directed numbers. Part 10 Length, area and volume: distinguishing between formulas for lengths, areas and volumes; using Pythagoras' theorem; drawing and using nets to find surface areas, including those of pyramids; density; the range in which a corrected number lies; working with corrected numbers. Part 11 Enlargement: positive whole number and fractional scale factors. Part 12 Straight line graphs: using and drawing conversion graphs; finding the equation of a line from its graph; the meaning of the gradient of a line; parallel lines; intersection of lines. Part 13 Similar figures: definition of similar figures; using the scale factor to find unknown lengths; the ratio of corresponding sides; similar triangles. Part 14 Changing the subject of a formula: changing the subject of a formula; formulas involving squares and square roots. Part 15 Factorizing: finding and extracting common factors; factorizing expressions of the form "x2+ax+b". Part 16 Fractional and percentage change: fractional and percentage increase and decrease; finding the original quantity; compound increase and decrease. Part 17 Organizing and summarizing data: finding the mean of an ungrouped and of a grouped frequency distribution; identifying the modal group and the group containing the median. Part 18 Curved graphs: using graphs to solve quadratic equations; cubic curves; graphs of reciprocal equations of the form "y=a/x"; using graphs to show the relationship between real quantities. (Part contents).
L Bostock & S Chandler - Groundbreaking writers with an impeccable track record of producing best-selling books that contain a rigorous approach to teaching maths