Contents
Glossary
The language of mathematics
Operations
Words to operations
Word questions
Integers
Adding and subtracting positive integers
Adding and subtracting negative integers
Integers on number lines
Challenge 1
Multiplying and dividing
Types of numbers
Multiples
Factors
Square numbers
Powers
Roots
Order of operations
Using your calculator
Fractions
The language of fractions
Shading fractions
Numerators and denominators
Equivalent fractions
Simplifying fractions
Comparing fractions
Converting between improper and mixed fractions
Adding and subtracting fractions
Multiplying fractions
Fractions of a quantity
Decimals
Place value
Decimals on number lines
Comparing decimals
Multiplying and dividing decimals by powers of 10
Using decimals to compare fractions
Challenge 2
Percentages
Changing fractions to percentages
Changing percentages to fractions
Changing decimals to percentages
Changing percentages to decimals
Converting between fractions, decimals and percentages
Calculating percentages
Finding percentages of amounts
Rounding
Rounding to whole numbers
Rounding decimals
Estimations/approximations
Revision 1
Revision 2
Answers
Charlotte has over 10 years’ experience in teaching Mathematics, the majority of this as Assistant HOD of Mathematics and Dean of Year 9 at Darfield High School. She has also undertaken a year at St Margaret’s – a high decile, girls’ school. Here she focused on teaching the junior levels (including Year 7 and 8).
Victoria has twenty years’ experience in teaching Mathematics and has recently retired as Teacher of Mathematics and Specialist Classroom Teacher at Riccarton High School. She has received a Jim Campbell award for teaching excellence (2003) and an Ernest Duncan award in Mathematics (2007).