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Interactive Mathematics Learning Centre
Click any topic to navigate directly to the lesson and listen to its name.
Numbers are mathematical symbols used for counting, measuring, comparing and calculating quantities.
Natural numbers are counting numbers beginning with 1.
They are used to count students, books, trees and other objects.
Important: Zero is not included in natural numbers under this convention.
Whole numbers consist of zero and all natural numbers.
Example: Number of apples in an empty basket is zero.
Integers include negative numbers, zero and positive numbers.
Examples: Temperature -5°C, bank balance -100, floor 3.
A rational number can be expressed in the form p/q, where p and q are integers and q is not zero.
Terminating and repeating decimals are rational numbers.
Numbers that cannot be expressed as a ratio of two integers.
Their decimal expansions are non-terminating and non-repeating.
Real numbers include both rational and irrational numbers.
Every point on the number line represents a real number.
Integers, fractions, terminating and repeating decimals
√2, √3, π
A prime number has exactly two distinct positive factors: 1 and itself.
Remember: 2 is the only even prime number.
A composite number has more than two positive factors.
Example: Factors of 12 are 1, 2, 3, 4, 6 and 12.
Divisible by 2 without a remainder.
2, 4, 6, 8, 10, 12...
Not divisible by 2 without a remainder.
1, 3, 5, 7, 9, 11...
Factors: Numbers that divide a given number exactly.
Factors of 18: 1, 2, 3, 6, 9, 18.
Multiples: Products obtained by multiplying a number by whole numbers.
Multiples of 5: 5, 10, 15, 20, 25...
Place value is the value of a digit according to its position. Face value is the digit itself.
A number line is a straight line on which numbers are represented at equal intervals.
Remember: Addition moves to the right for positive numbers. Subtraction moves to the left for positive numbers.
Multiplication can be shown as repeated jumps. Division can be shown by equal jumps and counting the groups.
Start at 2 and move four steps to the right.
Start at 7 and move three steps to the left.
Make two jumps of three units each.
Make equal jumps of two units from zero to eight.
A fraction represents a part of a whole.
A proper fraction has a numerator smaller than its denominator.
An improper fraction has a numerator greater than or equal to its denominator.
A mixed fraction contains a whole number and a proper fraction.
A unit fraction has 1 as its numerator.
Fractions having the same denominator are called like fractions.
Fractions having different denominators are called unlike fractions.
Fractions representing the same value are called equivalent fractions.
Enter a numerator and denominator to see a visual representation of the fraction.
Decimals represent numbers using a decimal point.
Percentage means per hundred.
Absolute value is the distance of a number from zero on the number line.
An exponent tells us how many times a number is multiplied by itself.
BODMAS tells us the correct order for solving mathematical expressions.
Example: 2 + 3 × 4 = 2 + 12 = 14.
HCF: Highest Common Factor.
LCM: Least Common Multiple.
Combining two or more quantities.
25 + 15 = 40
Finding the difference between quantities.
45 − 20 = 25
Repeated addition of equal quantities.
6 × 4 = 24
Sharing a quantity into equal groups.
24 ÷ 6 = 4
Select the correct answer for each question.
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Interactive Mathematics Learning Resource
Select any topic from the interactive index to learn its definition, see its diagram and listen to its name.
How to use: Click a topic on the left. The topic name will be spoken aloud and its lesson will appear here. Use the Previous and Next buttons to navigate.
