Intermediate 2

This resource from Nelson Thornes was for students following the Intermediate tier in mathematics and part of a series of books which delivered the three tier structure of GCSE. Each chapter begins with learning outcomes and contains reference boxes which explain techniques or concepts to be mastered, as well as discussion points and key facts. The second part of the book is a comprehensive revision guide which provides notes and relevant questions for the whole syllabus.

Contents 

1. Further methods of computation - Values of numbers • Without a calculator • Estimation, and the efficient use of a calculator • Four rules of fractions • Fractions and recurring decimals • Reciprocals • Powers and roots • Standard form • Direct proportion • Inverse proportion.
2. Transformations - Reflecting shapes • Rotating shapes • Translations • Enlargement.
3. Algebraic manipulation - Changing the subject of a formula • Multiplying out brackets and factorising • Multiplying out two brackets • Factorising into two brackets
4. Statistics and probability - Collecting data • Two-way tables • Measuring the average • Interquartile range • Cumulative frequency • Scatter diagrams and correlation • Probability revisited.
5. Equations - Always, sometimes, never • More linear equations •. Simultaneous equations • Quadratic equations.
6. Measures revisited - Formulae for finding perimeter, area, volume and surface area • Relationships between units • Volume, capacity and density • Upper and lower bounds of measures • Area of a trapezium • Bearings and trigonometry.
7. Using graphs to solve problems - Using graphs to solve equations • Using graphs to solve simultaneous equations • Quadratic graphs • Cubic graphs. Reciprocal graphs • Identifying graphs • Solving quadratic and cubic equations using graphs and trial and improvement • Inequalities • Solving inequalities • Regions • Interpreting graphs of real-life situations.
8. Properties of shapes - Ruler and compass constructions: perpendiculars • Symmetry in triangles and quadrilaterals • Similarity • Isosceles triangles and right-angled triangles • Regular and irregular polygons • Chords, arcs and tangents • Angle in a semicircle Revision Exercises

Please note, some pages and images have been removed from the resource file.