Full Maths Curriculum For KS3 to GCSE
10-minute lessons with videos, flashcards, quizzes, and AI help.
Number Line and Comparing Numbers
A number line places numbers in order on a straight line. Learn to compare numbers using inequality symbols like > and < with clear examples. Watch free!
Place Value and Rounding Numbers
Place value shows the value of each digit in a number. Learn rounding rules and use place value charts with step-by-step examples. Watch free!
Natural Numbers, Whole Numbers, and Integers
Natural numbers start at 1, whole numbers include 0, and integers add negatives. Learn how these number sets relate with examples and practice. Watch free!
Rational Numbers and Their Location on a Number Line
Rational numbers are fractions of two integers. Learn to tell rational from irrational numbers and place them on a number line. Watch free!
Absolute Value
Absolute value measures distance from zero on a number line. Learn to simplify expressions and work with negative numbers step by step. Watch free!
Basic Arithmetic and Inverse Operations
Basic arithmetic covers addition, subtraction, multiplication, and division. Learn how inverse operations undo each other with clear examples. Watch free!
BIDMAS - Order of Operations
BIDMAS explains the order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction. Practice with worked examples. Watch free!
Commutative and Associative Properties
The commutative property lets you swap numbers, and the associative property lets you regroup them. Works for addition and multiplication. Watch free!
Column Addition and Column Subtraction
Column addition and subtraction are used to add and subtract multi-digit numbers vertically. Learn carrying and borrowing with clear examples. Watch free!
Long Multiplication
Long multiplication splits large calculations into smaller digit-by-digit steps. Learn to multiply 2-digit and 3-digit numbers with clear examples. Watch free!
Long Division
Long division divides large numbers into smaller steps. Learn dividend, divisor, quotient and remainder with step-by-step worked examples. Watch free!
Movement of the Decimal Point
Moving the decimal point right multiplies a number by 10, 100, or 1000. Moving it left divides. Learn the rules with clear examples. Watch free!
Adding and Subtracting Negative Numbers
Learn the rules for adding and subtracting negative numbers: same signs become plus, different signs become minus. Practice with examples. Watch free!
Multiplying and Dividing Negative Numbers
Multiplying and dividing negative numbers follows sign rules: an odd count of negatives gives a negative, even gives a positive. Learn with examples. Watch free!
Calculating Money
Calculating money involves separating pounds and pence for each operation. Learn to add, subtract, multiply, and divide money step by step. Watch free!
Converting and Calculating Units of Length
Metric units of length include km, m, cm, and mm. Learn to convert between them and add or subtract lengths with step-by-step examples. Start free today.
Converting and Calculating Units of Mass
Metric units of mass include tonnes, kg, g, and mg. Learn to convert between them and add or subtract masses with step-by-step examples. Start free today.
Converting Time and Calculating Time
1 hour = 60 minutes and 1 minute = 60 seconds. Learn to convert between time units and calculate time differences with worked examples. Watch free!
Divisibility and Divisibility Rules
Divisibility rules for 2 to 10 are simple digit checks to test if a number divides evenly. Learn each rule with clear worked examples. Start free today!
Prime Numbers and Prime Factorisation
A prime number has exactly two factors: 1 and itself. Learn prime factorisation using factor trees and division with step-by-step examples. Watch free!
How to Find HCF and LCM
The HCF is the largest factor two numbers share, and the LCM is their smallest common multiple. Master both methods with step-by-step examples. Watch free!
Introduction to Fractions
Fractions represent parts of a whole using a numerator and denominator. Learn what fractions are, find fractions of amounts, and more. Start free today.
Equivalent Fractions
Equivalent fractions look different but represent the same value, like 1/2 = 2/4. Learn to expand and simplify fractions with clear examples. Watch free!
Comparing Fractions
Comparing fractions shows which is larger or smaller. Learn to compare fractions with the same or different denominators using the common denominator method and clear examples!
Adding and Subtracting Fractions
Adding and subtracting fractions requires a common denominator when fractions are unlike. Learn with proper, improper, and mixed numbers. Start free today!
Multiplying Fractions
Multiplying fractions means multiplying numerators and denominators, then simplifying. Learn cross-cancelling with whole and mixed numbers. Watch free!
Dividing Fractions
Dividing fractions means keeping the first fraction, flipping the second, and multiplying. Learn to divide by whole and mixed numbers. Start free today.
Decimals and Fractions
Decimals and fractions are two ways to show parts of a number. Learn place value and how to convert between them with step-by-step examples. Start free today!
Comparing and Rounding Decimals
Learn to compare and round decimals to the nearest tenth or hundredth. Check the digit to the right: 5 or more rounds up, less rounds down. Watch free!
Convert Fraction to Decimal Using Long Division
A fraction converts to a decimal by dividing the numerator by the denominator. The result is either terminating or recurring. Learn with worked examples. Watch free!
Adding and Subtracting Fractions and Decimals
To add or subtract fractions and decimals, convert them to one form first. Compare the decimal and fraction methods with worked examples. Start free today!
Multiplying Decimals
Multiplying decimals is done in three steps: ignore decimals, multiply as whole numbers, and place the decimal point correctly. Learn with examples. Watch free!
Calculating Fractions and Decimals
The commutative, associative, and distributive laws simplify calculations with fractions and decimals. Learn to apply them with worked examples. Watch free!
Convert Recurring Decimals to Fractions
To convert recurring decimals to fractions, set x equal to the decimal, multiply, subtract, and simplify. Practise with worked examples. Start free today!
Powers and Indices
Powers and indices mean repeated multiplication — for example, 5³ = 5 × 5 × 5. Covers bases, exponents, square and cube numbers, and BIDMAS. Watch free!
Standard Form
Standard form writes large or small numbers as A × 10ⁿ. Learn to convert and calculate in standard form with worked examples. Watch free!
Basics of Square Roots
A square root is a non-negative value that, when squared, gives the original number. Learn properties, perfect squares, and worked examples. Watch free!
Multiplying and Dividing Square Roots
Multiplying square roots follows √a × √b = √(ab), and dividing follows √a ÷ √b = √(a/b). Learn to simplify root expressions with worked examples. Watch free!
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Laws of Indices (Same Base, Same Indices)
The laws of indices simplify powers: to multiply same base, add exponents; to divide, subtract. Covers same index rules with worked examples. Watch free!
Negative Exponents and Power of a Power
Negative indices flip the base to a reciprocal, and power of a power multiplies the exponents. Learn the rules with clear worked examples. Watch free!
The nth Root and Fractional Indices
Fractional indices express roots as powers. In a^(m/n), the denominator is the root, the numerator the power. Learn with clear worked examples. Watch free!