# Essential Mathematics for Cambridge Secondary 1: Stage 7

The Essential Mathematics for Cambridge Secondary 1 series has been created for the international student. Written by an expert author team with an experienced examiner, it provides complete coverage of the Cambridge syllabus. Providing comprehensive, clear theory notes followed by worked examples, the text helps students apply the knowledge they have learnt. Learning Outcomes are provided at the start of each chapter to clearly map topics in the text to the

syllabus. Numerous exercises are included, with clear progression, and problem-solving and real life applications embedded throughout. End-of-topic and end-of-section questions are designed to assess understanding, not only of the current topic but also of the ways in which different topics might be combined

in examinations.

- Front Cover
- Title Page
- Contents
- Introduction
- 1 Integers, powers and roots
- 1.1 Multiples
- 1.2 Factors
- 1.3 Prime numbers
- 1.4 Squares and square roots
- 1.5 Negative numbers
- 1.6 More adding and subtracting
- 1.7 Further calculations

- 2 Expressions
- 2.1 Using letters for unknown numbers
- 2.2 Simplifying expressions
- 2.3 Expanding brackets
- 2.4 Substitution into an expression

- 3 Shapes and geometric reasoning 1
- 3.1 Angles
- 3.2 Calculating angles
- 3.3 Triangles
- 3.4 Quadrilaterals
- 3.5 Symmetry

- 4 Fractions
- 4.1 Equal parts
- 4.2 Equivalent fractions
- 4.3 Mixed numbers
- 4.4 Comparing, adding and subtracting fractions
- 4.5 Finding a fraction of an amount

- 5 Decimals
- 5.1 Place value
- 5.2 Rounding
- 5.3 Multiplying and dividing by 10, 100 and 1000
- 5.4 Calculating with decimals
- 5.5 Changing between fractions and decimals

- 6 Processing, interpreting and discussing data
- 6.1 Mode and median
- 6.2 Mean and range
- 6.3 Using frequency tables
- 6.4 Comparing two distributions

- 7 Length, mass and capacity
- 7.1 Length
- 7.2 Mass
- 7.3 Capacity
- 7.4 Reading from scales

- 8 Equations
- 8.1 Equations with one operation
- 8.2 Equations with two operations
- 8.3 Equations with brackets
- 8.4 Using equations to solve problems

- 9 Shapes and geometric reasoning 2
- 9.1 Lines and angles
- 9.2 Measurement and construction
- 9.3 Solids

- 10 Presenting, interpreting and discussing data
- 10.1 Pictograms and frequency diagrams
- 10.2 Pie charts

- 11 Area, perimeter and volume
- 11.1 Area and perimeter
- 11.2 Compound shapes
- 11.3 Cuboids
- 11.4 Surface area

- 12 Formulae
- 12.1 Deriving formulae
- 12.2 Substitution into formulae
- 12.3 Further substitution into formulae

- 13 Position and movement
- 13.1 Reflection
- 13.2 Rotation
- 13.3 Translation
- 13.4 Using coordinates

- 14 Sequences
- 14.1 Number sequences
- 14.2 Sequences from patterns of shapes

- 15 Probability
- 15.1 Probability words
- 15.2 Probability scale and calculating probabilities
- 15.3 Estimating probabilities

- 16 Functions and graphs
- 16.1 Functions
- 16.2 Horizontal and vertical lines
- 16.3 Other straight lines

- 17 Fractions, decimalsand percentages
- 17.1 Describing part of an amount
- 17.2 Finding and using percentages of an amount

- 18 Planning and collecting data
- 18.1 Data collection sheets
- 18.2 Questionnaire design
- 18.3 Frequency tables

- 19 Ratio and proportion
- 19.1 Ratio
- 19.2 Dividing in a given ratio
- 19.3 Proportion

- 20 Time and rates of change
- 20.1 Time
- 20.2 Using timetables
- 20.3 Graphs

- 21 Sets
- 21.1 Describing sets
- 21.2 Intersection and union of sets
- 21.3 Elements and subsets

- 22 Matrices
- 22.1 Route matrices
- 22.2 Adding and subtracting matrices
- 22.3 Multiplying a matrix by a number

- Glossary
- Index
- Back Cover