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Standard Grade Maths Revision Notes

Invaluable as a tool for revision at General and Credit level, students are provided with succinct summaries of key areas of knowledge and understanding to compound classroom learning and help students to achieve examination success. Worked examples and visual aids, helpful tips to clarify common areas of confusion and essential information tables all focus revision and help to raise student accuracy and performance. Ideal for independent study.

Contents

Introduction

·          What these notes cover

·          Another Leckie & Leckie book

·          About the exam

·          What to bring to the exam

·          Exam technique

·          Your calculator

·          Using your calculator properly

Chapter 1: Testing your Calculation Skills

·          How to work through these questions

·          General level questions

·          Credit levels questions

Chapter 2: Formulae and Equations

·          Making and using formulae

·          Equations and inequalities

·          More equations and inequalities

·          Proving/disproving a conjecture

·          Factorisation and brackets

·          More about formulae

·          Quadratic equations

Chapter 3: Shape

·          Measurement

·          Angles

·          Symmetry

·          Two-dimensional shapes

·          Area of two-dimensional shapes

·          Tolerance

·          Three-dimensional shapes

·          Surface area and volume

·          More on surface area and volume

Chapter 4: Arithmetic

·          Scientific notation (standard form)

·          Percentage discount

·          Insurance premiums

·          Time, distance and speed

·          Simple interest

·          Earnings

·          Percentage calculations

·          Compound interest and depreciation

Chapter 5: Graphs and Functions

·          Graphs as pictures

·          Straight line graphs

·          Linear functions and graphs

·          Quadratic functions

·          Simultaneous equations

·          Graph of f(x) = a^x (exponential function)

·          Graphical solutions

·          Iteration

Chapter 6: Maps, Plans and Similar Shapes

·          Similar shapes

·          Maps – scale

·          Maps – direction

·          Similar triangles

·          Sketches and scale drawings

·          Area of similar shapes

·          Bearings

·          More on similar triangles

·          Volumes of similar shapes

Chapter 7: Proportion and Variation

·          Direct and inverse proportion

·          Pie charts

·          Ratio

·          Direct variation

·          Inverse variation

• Graph of f(x) = ^a/_x
• Joint variation

Chapter 8: Triangles and Trigonometry

·          The Theorem of Pythagoras

·          Trigonometry in right-angled triangles

·          Gradient, angles of elevation and depression

·          Trigonometric functions and their graphs

·          Trigonometric equations

·          Sine and cosine rules and the area of triangle formula

·          Trigonometric identities

·          Trigonometry in three dimensions

·          Families of trigonometric curves

Chapter 9: The Circle

·          Circumference and area

·          Angle in a semi-circle

·          Tangents

·          Arcs and sectors

·          Chords

Chapter 10: Statistics

·          Mean, mode and range

·          Median

·          Probability

·          Stem and leaf chart

·          Scattergraph

·          Equation of line of best fit

·          Upper and lower quartiles and semi-interquartile range

·          Box and dot plots

·          Cumulative frequency

·          Constructing pie charts

·          Standard deviation

Chapter 11: Formulae given in the Exam Papers

·          General level formulae

·          Credit level formulae

Related resources

You may also be interested in:

Questions in Standard Grade Maths

Questions in Credit Maths

Practice Papers for SQA Exams - Standard Grade Credit Maths

Practice Papers for SQA Exams - Standard Grade General Maths

Secondary Maths Dictionary

Standard Grade Maths Revision Notes

Standard Grade Maths Success Guide

Standard Grade Maths Success Guide & CD-ROM

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