# Maths Matters for CSEC® Examinations

Maths Matters is a comprehensive four-level series for Caribbean students, which provide a thorough preparation for lower secondary and CSEC. The books are suitable for use either in the classroom or at home.The series adopts a lively approach and offers:• Thorough coverage of national syllabi shown in scope and sequence charts• A clear exposition of methods through worked examples• Revision material where relevant• Many exercises for practice, revision, homework and examination (CSEC text)• A carefully graded approach for all abilities• Activities throughout that encourage a practical approach to learning• Navigation of each unit made simple with key skills, summaries and indexes• Glossaries that cover all important termsThe books are designed to be relevant to modern daily life and the experiences of students while retaining knowledge of traditional methods and practices. The texts are supported by Workbooks, Teacher’s Books and online resources.Please note that this is an eBook version of this title and can NOT be printed. For more information about eBooks, including how to download the software you’ll need, see our FAQs page.

- Cover
- Title
- Copyright
- Contents
- Introduction
- Scope and sequence
- 1 Numbers theory
- 1.1 Classifiying numbers
- 1.2 Operations, identity and inverse
- 1.3 Closure
- 1.4 Distributive law and associative law in number problems
- 1.5 Other bases (revision)

- 2 Rounding and errors
- 2.1 Significant figures, decimal places and standard form
- 2.2 Errors in measurement
- 2.3 Rounding effects when substituting in formulae

- 3 Consumer arithmetic
- 3.1 Income
- 3.2 Taxes
- 3.3 Utilities
- 3.4 Currency
- 3.5 Paying by instalments
- 3.6 Interest

- 4 Sets and sequences
- 4.1 Definitions
- 4.2 Sequences
- 4.3 Finding the rule of a sequence

- 5 Algebra: expressions
- 5.1 Algebraic operations
- 5.2 Indices
- 5.3 Binary operations
- 5.4 Algebraic fractions

- 6 Algebra: equations
- 6.1 Linear equations
- 6.2 Simultaneous equations
- 6.3 Inequalities
- 6.4 Changing the subject

- 7 Coordinate geometry of the straight line
- 7.1 Straight-line graphs
- 7.2 Gradients
- 7.3 Gradients and intercepts of straight lines
- 7.4 Finding the equation of a straight line
- 7.5 Parallel and perpendicular lines
- 7.6 Distance between points
- 7.7 Midpoints
- 7.8 Graphical solution of simultaneous equations
- 7.9 Inequalities in two dimensions

- 8 Quadratics
- 8.1 Expanding a bracket (revision)
- 8.2 Expanding pairs of brackets
- 8.3 Identities
- 8.4 Factorising two terms (revision)
- 8.5 Factorising a quadratic
- 8.6 The general quadratic ax[sup(2)] + bx + c
- 8.7 Quadratic equations
- 8.8 The quadratic formula
- 8.9 Quadratic equation problems
- 8.10 The quadratic curve, symmetry, equations and gradient

- 9 Ratio and proportion
- 9.1 Ratio
- 9.2 Rate
- 9.3 Direct proportion
- 9.4 Inverse proportion
- 9.5 Proportion to a power

- 10 Geometry 1
- 10.1 Lines, angles, polygons and solids
- 10.2 Basic drawing and constructions
- 10.3 Symmetry

- 11 Geometry problems
- 11.1 Lines, angles and polygons
- 11.2 Congruent triangles
- 11.3 Similar figures

- 12 Transformations
- 12.1 Translations using vectors
- 12.2 Transformations (revision)
- 12.3 Combining transformations
- 12.4 Glide reflections

- 13 Surface area and volume
- 13.1 Revision of units
- 13.2 Length and area
- 13.3 Area of regular shapes (revision)
- 13.4 Surface area
- 13.5 Volume
- 13.6 The cylinder
- 13.7 Pyramids and cones
- 13.8 The sphere
- 13.9 Compound shapes

- 14 Trigonometry
- 14.1 Pythagoras' theorem
- 14.2 The trigonometric ratios
- 14.3 Bearings
- 14.4 The sine rule
- 14.5 Using the sine rule to find angles
- 14.6 The cosine rule
- 14.7 Using the cosine rule to find angles
- 14.8 Solving triangles

- 15 Circle theorems
- 15.1 Definitions
- 15.2 Angle at the centre of a circle
- 15.3 Angle in a semicircle
- 15.4 Angles in the same segment
- 15.5 Cyclic quadrilaterals
- 15.6 Mixed examples
- 15.7 Tangents
- 15.8 Alternate segment theorem
- 15.9 Midpoint of a chord

- 16 Functions
- 16.1 Domain and range
- 16.2 Composite functions
- 16.3 Formulae for composite functions
- 16.4 Inverse functions

- 17 Statistics
- 17.1 Data and frequency tables
- 17.2 Statistical diagrams
- 17.3 Measures of central tendency
- 17.4 Range and interquartile range
- 17.5 Median and quartiles from a frequency table
- 17.6 Cumulative frequency
- 17.7 Probability

- 18 Vectors
- 18.1 The arithmetic of vectors and geometry
- 18.2 Position vectors
- 18.3 Magnitude of a vector, unit vectors
- 18.4 Midpoints

- 19 Matrix algebra
- 19.1 Arrays of numbers
- 19.2 Adding and subtracting matrices
- 19.3 Multiplication by a scalar
- 19.4 Matrix multiplication
- 19.5 The identity matrix
- 19.6 Inverse matrices

- Optional special objectives
- 20 Further quadratics
- 20.1 Completing the square
- 20.2 Greatest or least value and line of symmetry
- 20.3 Solving equations by completing the square
- 20.4 Line of symmetry and turning points by sketching
- 20.5 Simultaneous equations: one linear, one quadratic

- 21 Regions and linear programming
- 21.1 Inequalities revision
- 21.2 Revision of y = mx + c
- 21.3 Regions
- 21.4 Regions with sides not parallel to the axes
- 21.5 Situations which give rise to inequalities
- 21.6 Listing the possibilities
- 21.7 Linear programming

- 22 Further graphs
- 22.1 Graphs of powers of x
- 22.2 Distance–time graphs
- 22.3 Acceleration
- 22.4 Velocity–time graphs

- 23 Measurement, geometry and trigonometry
- 23.1 Area of a triangle
- 23.2 Area of a segment
- 23.3 Lines and planes
- 23.4 Lengths and angles in three dimensions
- 23.5 Lengths within solids
- 23.6 Angle between lines

- 24 Vectors and matrices
- 24.1 Equivalent (equal) and null vectors
- 24.2 Collinear points
- 24.3 Transformations using matrices
- 24.4 Enlargements
- 24.5 The unit square
- 24.6 Common matrices
- 24.7 Successive transformations using matrices
- 24.8 Simultaneous equations

- Model examination papers
- Glossary
- A
- B
- C
- D
- E
- F
- G
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- Q
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- S
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- U
- V

- Answers
- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- K
- L
- M
- N
- O
- P
- Q
- R
- S
- T
- U
- V
- W
- Y
- Z

- Back Cover