Phoenix Education Online

Extension Maths junior secondary Student Book


Stock: Available

Product Code: 978-1-921085-80-2

Extension Maths for high achieving students is for maths students who need and enjoy the challenge of working with material which encourages the application of higher order thinking. 

The problems and exercises in these books encourage students

  • to think creatively
  • to be flexible in the use of new ideas and approaches
  •  to be fluent in the creation of an array of ideas
  • to elaborate on similar ideas
  • to be original in thinking of new approaches or new ways of seeing problems.

The problems and tasks are based on the topic and concept areas studied in the junior secondary years (7 - 8) with points of departure to allow challenge, application and extension of ideas. Solving the problems requires each student to seek information beyond the classroom, modifying their thinking and being prepared to use and think of new approaches in unfamiliar situations. Each student  book includes answers to each question. Fully worked solutions are provided in the teacher’s book for each level.

The tasks can be used as an addition to the teaching program where more able students can be directed to pursue challenges which require the application of a range of problem solving techniques centred on the topic being studied.

There are two broad types of task:

  • topic-based: number, linear algebra and graphing, quadratic algebra and graphing, indices and logarithms, measurement, trigonometry, geometry, probability and statistics.
  • general-nature: a collection of challenging questions which require the application of a range of approaches and skills in a non-routine manner.

 The Teacher’s Resource Book for each level includes the worksheets, answers and fully worked solutions, hints to help students work through difficult parts of questions as well as suggestions for broadening the teaching program.


NOTE: Teacher’s Book contents for Junior Secondary Level cover all topics in the student book,  with worked solutions and additional teaching hints for each  section

Extension Maths (Junior Secondary) for Higher Achieving Students

Student Book 


Using the resource

Chapter 1  Number

  • Cross-number Puzzle (1) - (4)
  • Arithmetic Challenge Fractions
  • Directed Number (1) & (2)
  • Ration (1)& (2)
  • Percentages (1) & (2)
    Consumer Arithmetic (1) & (2)
  • Prime Numbers
  • Factors
  • Multiples and Factors
  • Numbers and Algebra
  • Numbers and Indices (1) & (2)
  • Numbers and Square Roots
  • Number Patterns (1) & (2)
  • Solutions

 Chapter 2 General Algebra

  • Basic Algebra: Add and Subtract
    Basic Algebra: Multiply and Divide
  • Algebraic Processes
    Substitution and Number Machines
  • Pythagorean Triples
  • Numbers and Algebra
  • Solutions

Chapter 3 Linear Algebra

  • Equations (1)-(3)
  • Worded Problems
  • Equations and Inequations
  • Solutions

 Chapter 4  Linear Graphing

  • Equations of Straight Lines
  • Midpoint between Two Points
  • Gradient of Lines
  • Perpendicular Lines
    Distance between Two Points
  • Points on Lines
  • Solutions

 Chapter 5   Geometry

  • Angles (1) & (2)
  • Circle Geometry
  • Shapes and Geometry
  • Angles (3)
  • Solutions 

Chapter 6  Indices

  • Index Rules and Algebra
  • Indices and Number
    Indices and Algebra (1) & (2)
  • Solutions

 Chapter 7  Measurement

  • Perimeter - Straight Sides
    Perimeter - Curved Sides (1)&(2)
    Area and Perimeter - Straight Sides
    Area and Perimeter -Curved Sides
    Area - Straight Sides (1) & (2)
    Area - Curved Sides (1) & (2)
  • Volume
    Volume, Surface Area and Capacity
  • Volume and Surface Area
  • Solutions

 Chapter 8   Statistics

  • Averages
  • Statistical Measures
  • Using Diagrams
  • Solutions

 Chapter 9   Probability

  • Games
  • Probability with Order
  • Using Diagrams
  • Unfair Dice
  • Venn Diagrams
  • Probability and Statistics
  • Solutions

 Chapter 10   Problem Solving

  • Logic (1)-(3)
  • Number (1)-(7)
  • Speed
  • Distance and Travel
    Number and Algebra (1) & (2)
  • Algebra
  • Shapes (1)& (2)
  • Space
  • Measurement (1) & (2)
  • Solutions