Secondary Ready in Mathematics

In this comprehensive course, we will look at the key fundamental concepts in mathematics that will serve as a solid foundation upon which to build towards the study of more complex mathematical ideas. The course is divided into seven sections. Each section covers some ‘big’ ideas with lesson videos, some practice materials, videos of worked solutions and a quiz. A school teacher enrolling multiple pupils? Click ...
1. NUMBER
In this series of lessons, we will take an in-depth look at place value by looking at what place value is, different base systems and how we can compare numbers.
1.1 Place Value: Understanding the System
4 mins
1.1 Place Value: Understanding the System Worksheet
425 KB
1.1 Place Value: Understanding the System Worksheet Solutions
5 mins
1.2 Place Value: Different Bases
7 mins
1.2 Place Value: Different Bases Worksheet
431 KB
1.2 Place Value: Different Bases Worksheet Solutions
7 mins
1.3 Place Value: Comparing Numbers
5 mins
1.3 Place Value: Comparing Numbers Worksheet
428 KB
1.3 Place Value: Comparing Numbers Worksheet Solutions
5 mins
NUMBER: Place Value Quiz
2. CALCULATIONS
In this section, we will investigate how to work mentally with addition, subtraction, multiplication, and division by looking at a variety of strategies.

We will combine all of this by looking at the order of operations and gain a deep understanding of arithmetic.
2.1 Addition: Mental Strategies
10 mins
2.1 Addition: Mental Strategies Worksheet
428 KB
2.1 Addition: Mental Strategies Worksheet Solutions
10 mins
2.2 Subtraction: Mental Strategies
10 mins
2.2 Subtraction: Mental Strategies Worksheet
428 KB
2.2 Subtraction: Mental Strategies Worksheet Solutions
14 mins
2.3 Multiplication: Mental Strategies
7 mins
2.3 Multiplication: Mental Strategies Worksheet
592 KB
2.3 Multiplication: Mental Strategies Worksheet Solutions
16 mins
2.4 Division: Mental Strategies
6 mins
2.4 Division: Mental Strategies Worksheet
430 KB
2.4 Division: Mental Strategies Worksheet Solutions
14 mins
2.5 Order of Operations 1
14 mins
2.5 Order of Operations 1 Worksheet
593 KB
2.5 Order of Operations 1 Worksheet Solutions
7 mins
2.6 Order of Operations 2
8 mins
2.6 Order of Operations 2 Worksheet
591 KB
2.6 Order of Operations 2 Worksheet Solutions
8 mins
CALCULATIONS: Arithmetic Quiz
Review and Challenge 1
In each review and challenge section, you will be provided some opportunities to deepen your understanding of topics previously covered in this course. Some questions will be of a more open-ended offering and will require time to think and experiment with. The purpose of this collection of tasks is to help develop your curiosity in mathematics.
Review and Challenge 1 Worksheet
748 KB
Review and Challenge 1 Worksheet Solutions
11 mins
3. FRACTIONS
In this section, you will learn about the idea of fractions and how this helps us understand equivalence, the ability to compare and perform calculations with fractions.
3.1 What is a fraction
2 mins
3.1 Unit Fractions
2 mins
3.1 Fraction Key Vocabulary
2 mins
3.1 Idea of Fractions Worksheet
405 KB
3.1 Idea of Fractions Worksheet Solutions (Q1)
2 mins
3.1 Idea of Fractions Worksheet Solutions (Q2)
2 mins
3.1 Idea of Fractions Worksheet Solutions (Q3)
1 min
3.1 Idea of Fractions Worksheet Solutions (Q4)
2 mins
3.2 Improper Fractions and Mixed Numbers
2 mins
3.2 Improper Fractions and Mixed Numbers Worksheet
418 KB
3.2 Improper Fractions and Mixed Numbers Worksheet Solutions (Q1)
3 mins
3.2 Improper Fractions and Mixed Numbers Worksheet Solutions (Q2)
4 mins
3.2 Improper Fractions and Mixed Numbers Worksheet Solutions (Q3)
3 mins
3.2 Improper Fractions and Mixed Numbers Worksheet Solutions (Q4)
2 mins
3.3 Equivalent Fractions
4 mins
3.3 Equivalent fractions Worksheet
321 KB
3.3 Equivalent fractions Worksheet Solutions (Q1)
1 min
3.3 Equivalent fractions Worksheet Solutions (Q2)
2 mins
3.3 Equivalent fractions Worksheet Solutions (Q3)
3 mins
3.3 Equivalent fractions Worksheet Solutions (Q4)
4 mins
3.4 Comparing Fractions
3 mins
3.4 Comparing fractions Worksheet
272 KB
3.4 Comparing Fractions Worksheet Solutions (Q1)
3 mins
3.4 Comparing Fractions Worksheet Solutions (Q2)
4 mins
3.4 Comparing Fractions Worksheet Solutions (Q3)
2 mins
3.5 Fractions of Quantities
3 mins
3.5 Fractions of Quantities Worksheet
267 KB
3.5 Fractions of Quantities Worksheet Solutions (Q1)
4 mins
3.5 Fractions of Quantities Worksheet Solutions (Q2)
2 mins
3.5 Fractions of Quantities Worksheet Solutions (Q3)
1 min
3.5 Fractions of Quantities Worksheet Solutions (Q4)
2 mins
FRACTIONS: Quiz
4. TENTHS, HUNDREDTHS & THOUSANDTHS
In this section, we revisit place value, except this time by looking closely at decimals. We will compare fractions and decimals, as well as, multiplying and dividing decimals. This section culminates in fundamental work on percentages.
4.1 Decimal Place Values
4 mins
4.1 Decimal Place Values Worksheet
270 KB
4.1 Decimal Place Values Worksheet Solutions (Q1)
2 mins
4.1 Decimal Place Values Worksheet Solutions (Q2)
4 mins
4.1 Decimal Place Values Worksheet Solutions (Q3)
2 mins
4.1 Decimal Place Values Worksheet Solutions (Q4)
3 mins
4.2 Fractions and Decimals
2 mins
4.2 Fractions and Decimals Worksheet
423 KB
4.2 Fractions and Decimals Worksheet Solutions (Q1)
2 mins
4.2 Fractions and Decimals Worksheet Solutions (Q2)
2 mins
4.2 Fractions and Decimals Worksheet Solutions (Q3)
2 mins
4.2 Fractions and Decimals Worksheet Solutions (Q4)
2 mins
4.3 Multiplying by 10 Using Blocks
2 mins
4.3 Multiplying by 10 Using a Place Value Chart
1 min
4.3 Division by 10 Using Blocks
2 mins
4.3 Dividing by 10 Using a Place Value Chart
2 mins
4.3 Multiplying by 100 Using a Place Value Chart
2 mins
4.3 Multiply and divide by 10, 100 and 1000 Worksheet
302 KB
4.4 What are Percentages?
3 mins
4.4 Percentages on a Number-line
2 mins
4.4 What are Percentages Worksheet
496 KB
4.4 What are Percentages Worksheet Solutions (Q1)
2 mins
4.4 What are Percentages Worksheet Solutions (Q2)
2 mins
4.4 What are Percentages Worksheet Solutions (Q3)
2 mins
4.4 What are Percentages Worksheet Solutions (Q4)
3 mins
4.5 Percentage of a Quantity
2 mins
4.5 Finding 10% and 1% of Quantities
2 mins
4.5 Percentages of a Quantity Worksheet
426 KB
4.5 Percentages of a Quantity Worksheet Solutions (Q1)
5 mins
4.5 Percentages of a Quantity Worksheet Solutions (Q2)
3 mins
4.5 Percentages of a Quantity Worksheet Solutions (Q3)
4 mins
4.5 Percentages of a Quantity Worksheet Solutions (Q4)
3 mins
TENTHS, HUNDREDTHS & THOUSANDTHS: Quiz
Review and Challenge 2
In each review and challenge section, you will be provided some opportunities to deepen your understanding of topics previously covered in this course. Some questions will be of a more open-ended offering and will require time to think and experiment with. The purpose of this collection of tasks is to help develop your curiosity in mathematics.
Review and Challenge 2 Worksheet
825 KB
Review and Challenge 2 Worksheet Solutions
12 mins
5. RATIO
In this section, you will learn about ratio. Beginning by understanding what ratio is to sharing unequally, you will find a set of comprehensive lesson videos, practise materials and worked solutions to ensure you have the best opportunity to grasp these key ideas.
5.1 The Idea of Ratio
2 mins
5.1 The idea of ratio Worksheet
106 KB
5.1 The idea of ratio Worksheet Solutions
3 mins
5.2 Relationship between ratio and fractions
5 mins
5.2 Relationship between ratio and fractions Worksheet
104 KB
5.2 Relationship between ratio and fractions Worksheet Solutions
4 mins
5.3 Equivalent ratios and simplest form
7 mins
5.3 Equivalent ratios and simplest form Worksheet
94.9 KB
5.3 Equivalent ratios and simplest form Worksheet Solutions
5 mins
5.4 Sharing unequally
4 mins
5.4 Sharing unequally Worksheet
117 KB
5.4 Sharing unequally Worksheet Solutions (Q1)
5 mins
5.4 Sharing unequally Worksheet Solutions (Q2)
4 mins
5.4 Sharing unequally Worksheet Solutions (Q3)
4 mins
RATIO: Quiz
6. SHAPE & SPACE
In this section we will explore some of the key ideas in geometry from angles to volume, ensuring you understand the concepts fully.
6.1 Angles
3 mins
6.1 Angles Worksheet
122 KB
6.1 Angles Worksheet Solutions (Q1)
1 min
6.1 Angles Worksheet Solutions (Q2)
2 mins
6.1 Angles Worksheet Solutions (Q3)
3 mins
6.2 Perimeter
3 mins
6.2 Perimeter Worksheet
106 KB
6.2 Perimeter Worksheet Solutions
5 mins
6.3 Area of squares and rectangles
3 mins
6.3 Area of squares and rectangles Worksheet
120 KB
6.3.3 Area of squares and rectangles Worksheet Solutions
3 mins
6.4 Area of triangles
4 mins
6.4 Area of triangles Worksheet
123 KB
6.4 Area of triangles Worksheet Solutions (Q1)
2 mins
6.4 Area of triangles Worksheet Solutions (Q2)
2 mins
6.4 Area of triangles Worksheet Solutions (Q3)
2 mins
6.4 Area of triangles Worksheet Solutions (Q4)
3 mins
6.5 Volume of cuboids
4 mins
6.5 Volume of cuboids Worksheet
121 KB
6.5 Volume of cuboids Worksheet Solutions (Q1)
2 mins
6.5 Volume of cuboids Worksheet Solutions (Q2)
2 mins
6.5 Volume of cuboids Worksheet Solutions (Q3)
3 mins
SHAPE & SPACE: Quiz
7. ALGEBRA
In this section, we will introduce algebra. We will work through some key ideas on what variables are, substitution and simple equation solving.
7.1 Variables
3 mins
7.1 Variables Worksheet
94.6 KB
7.1 Variables Worksheet Solutions (Q1)
2 mins
7.1 Variables Worksheet Solutions (Q2)
2 mins
7.1 Variables Worksheet Solutions (Q3)
2 mins
7.1 Variables Worksheet Solutions (Q4)
2 mins
7.2 Substitution
5 mins
7.2 Substitution Worksheet
98.6 KB
7.2 Substitution Worksheet Solutions (Q1)
3 mins
7.2 Substitution Worksheet Solutions (Q2)
2 mins
7.2 Substitution Worksheet Solutions (Q3)
2 mins
7.3 Simple Equations
4 mins
7.3 Simple Equations Worksheet
108 KB
7.3 Simple Equations Worksheet Solutions (Q1)
2 mins
7.3 Simple Equations Worksheet Solutions (Q2)
2 mins
7.3 Simple Equations Worksheet Solutions (Q3)
2 mins
ALGEBRA: Quiz
Review and Challenge 3
In each review and challenge section, you will be provided some opportunities to deepen your understanding of topics previously covered in this course. Some questions will be of a more open-ended offering and will require time to think and experiment with. The purpose of this collection of tasks is to help develop your curiosity in mathematics.
Review and Challenge 3 Worksheet
759 KB
Review and Challenge 3 Worksheet Solutions
12 mins