Topic 4 – Number Properties

Topic 1 - Integers and Algebra

• 1A. Adding and subtracting (single digit numbers)
• 1B. Adding and subtracting a positive integer
• *1C. Adding and subtracting a negative integer
• 2A. Multiplying and dividing numbers
• 2B. Order of operations (using the four operations and brackets)
• *2C. Order of operations II (involving powers, square roots and factorials)
• 3A. Substitution; adding and subtracting
• 3B. Substitution; multiplication and division
• *3C. Substitution; two step expressions
• 4A. Solving; adding and subtracting
• 4B. Solving; multiplication and division
• *4C. Solving; two step equations
• 5A. Grid references
• 5B. Plotting points
• *5C. Transforming points

Topic 2 Skills - Decimals

• 1A. Decimal Place Value
• 1B. Rounding Decimals
• *1C. Comparing Decimals
• 2A. Multiplying and Dividing by 10
• 2B. Multiplying and Dividing Decimals by 10
• *2C. Multiplying and Dividing by Powers of 10
• 3A.1. Addition Algorithm
• 3A.2. Subtraction Algorithm
• 3B. Adding and Subtracting Decimals
• *3C. Adding and Subtracting Large Integers
• 4A. Multiplication Algorithm
• 4B. Multiplying Decimals Single Digit
• *4C. Multiplying Decimals Two Digit
• 5A. Divisions with Remainders
• 5B. Division Algorithm
• *5C.1. Dividing by a Decimal
• *5C.2. Solving Equations involving Decimals
• 6A. Converting and Percentage to a Decimal
• 6B. Percentage of a Number
• *6C. Percentage of a Number - Complex

Topic 3 Skills - Measurement

• 1A. Perimeter of Simple Shapes
• 1B. Perimeter of Complex Shapes
• *1C. Finding Unknown Lengths using a given Perimeter
• 2A. Area of a Rectangle
• 2B. Area of a Triangle and Parallelogram
• *2C. Area of Composite Shapes

Topic 4 Skills - Number Properties

• 1A. Squaring Numbers
• 1B. Powers of Numbers
• *1C. Substitution with Powers
• 2A. Listing Multiples
• 2B.1. Missing Number Questions
• 2.B.2. Listing Factors
• *2C. Listing Factors of Larger Numbers
• 3A.1. Classifying Numbers Part 1
• 3A.2. Classifying Numbers Part 2
• *3C. Prime Factorisations
• 4A. Lowest Common Multiple (LCM)
• 4B. Highest Common Factor (HCF)
• *4C. Using Prime Factorisations to calculate HCF and LCM
• 5A. and 5B. Square Roots of Perfect Squares
• *5C.1. Square roots using Prime Factorisations

**Skills marked with a * are advanced skills, these skills are for SEAL students and any mainstream students who are operating at a similar level**

Step 4: Worded Questions

1. Worded questions involving the four operations
2. Multiplicative thinking
3. Australian Maths Competition Questions