KS3 & GCSE Maths
40 KS3 & GCSE explainers and guides.
- Angles in Triangles and Quadrilaterals: KS3 Maths Guide
Learn the angle sum rules for triangles and quadrilaterals at KS3, with worked examples for finding missing angles in Year 7, 8, and 9 maths.
- Angles: Rules and Types Explained for KS3 Maths
Learn the main angle types and key angle rules at KS3, including angles on a straight line, around a point, and vertically opposite angles, with worked examples.
- Area of Rectangles and Triangles: KS3 Maths Guide with Worked Examples
How to find the area of rectangles and triangles at KS3 maths. Clear formulae, step-by-step worked examples, and compound shape problems for Year 7 and 8 pupils.
- Converting Fractions, Decimals and Percentages: KS3 Maths Guide
Master converting between fractions, decimals and percentages at KS3. Step-by-step methods with worked examples, a conversion table, and common mistakes to avoid.
- Coordinates and the Four Quadrants: KS3 Maths Guide
Understand coordinates and the four quadrants for KS3 maths. Covers plotting points, negative coordinates, midpoints and common mistakes for Year 7 and Year 8.
- Fractions of an Amount — KS3 Maths Explained
Learn how to find fractions of an amount at KS3 with two clear methods, worked examples, and common mistakes to avoid in Year 7, 8, and 9 maths.
- HCF and LCM Explained — KS3 Maths
Clear explanation of highest common factor (HCF) and lowest common multiple (LCM) for KS3 maths, with prime factor trees, Venn diagrams, and worked examples.
- How to Add and Subtract Fractions: KS3 Maths Step-by-Step Guide
Learn how to add and subtract fractions at KS3 with clear step-by-step worked examples, common mistakes, and tips for finding common denominators in Year 7 and 8.
- How to Expand Double Brackets (FOIL) — KS3 Maths
Learn how to expand double brackets in KS3 maths using FOIL — First, Outer, Inner, Last — with worked examples, negative terms and how to simplify.
- How to Expand Single Brackets in KS3 Maths (Step by Step)
Learn how to expand single brackets in KS3 maths step by step, using the distributive law — with worked examples, negative terms and common mistakes.
- How to Find a Percentage of an Amount — KS3 Maths
How to find a percentage of an amount at KS3: two reliable methods with worked examples, percentage increase and decrease, and reverse percentage explained.
- How to Multiply and Divide Fractions — KS3 Maths
Step-by-step guide to multiplying and dividing fractions at KS3: worked examples, the keep-change-flip rule for division, and common mistakes to avoid.
- How to Plot Straight Line Graphs — KS3 Maths
Step-by-step guide to plotting straight line graphs at KS3: table of values, gradient, y-intercept, and reading equations in y = mx + c form for Year 8 and 9.
- How to Read and Draw Bar Charts: KS3 Maths Guide
Learn how to read and draw bar charts at KS3, including frequency bar charts and comparative bar charts, with step-by-step examples for Year 7 and 8 maths.
- How to Round Numbers and Estimate: KS3 Maths Guide
Master rounding to decimal places and significant figures at KS3, plus estimation strategies for checking answers in Year 7, 8, and 9 maths.
- How to Simplify Fractions: KS3 Maths Step-by-Step Guide
Learn how to simplify fractions at KS3 with clear worked examples, the highest common factor method, and tips for Year 7 and 8 maths.
- How to Solve Equations with Brackets at KS3: Step-by-Step Guide
Learn how to solve equations with brackets at KS3 maths. Expand, simplify, and balance equations with clear worked examples for Year 8 and Year 9 pupils.
- How to Solve Two-Step Equations — KS3 Maths
Learn how to solve two-step equations at KS3 using inverse operations and the balance method, with worked examples, negative numbers and checking answers.
- How to Substitute into Formulae: KS3 Maths Step-by-Step Guide
Learn how to substitute values into formulae at KS3. Step-by-step worked examples covering positive numbers, negatives, and squared terms for Year 7, 8 and 9 pupils.
- How to Use a Protractor to Measure Angles — KS3 Maths
Step-by-step guide to using a protractor to measure and draw angles at KS3. Covers acute, obtuse, and reflex angles with common errors for Year 7 and Year 8.
- Inequalities Explained: KS3 Maths Guide with Worked Examples
A clear KS3 guide to inequalities: reading inequality symbols, solving linear inequalities, representing solutions on a number line, and common exam mistakes.
- KS3 Maths Topics by Year: Year 7, 8 and 9 Breakdown
A year-by-year breakdown of KS3 maths topics for Years 7, 8 and 9 — number, algebra, geometry, ratio and statistics — mapped to the national curriculum.
- Mean, Median, Mode and Range: KS3 Maths Guide
Understand mean, median, mode, and range at KS3 with clear definitions, worked examples, and tips for choosing the right average in Year 7, 8, and 9 maths.
- Multiplying and Dividing Decimals — KS3 Maths
How to multiply and divide decimals at KS3 using integer methods and powers of ten. Worked examples for Year 7, 8, and 9 with common mistakes to avoid.
- Negative Numbers Explained — KS3 Maths
Negative numbers explained for KS3: how to add, subtract, multiply and divide with negatives, number line tips, and common sign-error mistakes to avoid.
- Order of Operations: BIDMAS Explained for KS3 Maths
What is BIDMAS and why does order of operations matter? KS3 guide with worked examples, common mistakes, and why 2 + 3 × 4 equals 14, not 20.
- Percentage Increase and Decrease — KS3 Maths Guide
How to calculate percentage increase and decrease at KS3: two methods, multiplier shortcut, worked examples for Year 7, 8, and 9, plus reverse percentage.
- Perimeter and Area of Compound Shapes — KS3 Maths
How to find the perimeter and area of compound shapes at KS3 by splitting into rectangles and triangles. Worked examples for Year 7, 8, and 9 maths pupils.
- Prime Numbers, Factors and Multiples Explained for KS3 Maths
What are prime numbers, factors and multiples? KS3 guide with worked examples, factor trees, and HCF and LCM methods for Year 7 and Year 8 maths pupils.
- Probability Basics: KS3 Maths Guide with Worked Examples
A complete KS3 guide to probability basics: the probability scale, calculating simple probabilities, listing outcomes, and complementary events for Year 7 to Year 9.
- Pythagoras' Theorem: KS3 Introduction with Worked Examples
A clear KS3 introduction to Pythagoras' theorem: what a²+b²=c² means, finding the hypotenuse or a shorter side, and common exam mistakes explained with worked steps.
- Sequences and the nth Term: KS3 Maths Guide
Learn how to find the nth term of a linear sequence at KS3, continue sequences, and use the formula to find any term, with worked examples for Year 8 and 9.
- Solving One-Step Linear Equations: A KS3 Maths Guide
A KS3 guide to solving one-step linear equations using inverse operations — with worked examples for addition, subtraction, multiplication and division.
- Standard Form Explained: KS3 Maths Guide
Understand standard form at KS3: how to convert large and small numbers, multiply and divide in standard form, with worked examples for Year 8 and 9 maths.
- Symmetry and Transformations — KS3 Maths Explained
Clear guide to symmetry and transformations at KS3: reflections, rotations, translations, and enlargements explained with worked examples for Year 7, 8, and 9.
- Volume of Cuboids: KS3 Maths Guide with Worked Examples
How to find the volume of a cuboid at KS3. Covers the formula, worked examples with whole numbers and decimals, unit conversion, and exam tips for Year 7 and 8.
- What Are Like Terms? Collecting Terms in KS3 Algebra
Learn what like terms are in KS3 algebra, how to identify them, and how to collect them to simplify expressions — with worked examples and practice.
- What Is Algebra? A KS3 Introduction for Year 7 and 8 Students
What is algebra and why does it matter at KS3? This Year 7 guide explains variables, expressions, equations and terms with clear examples and no assumed knowledge.
- What Is Pi? Circles and Circumference Explained — KS3 Maths
What is pi, and how do you use it to find the circumference and area of a circle? KS3 guide with worked examples, the key formulas and common mistakes.
- What Is Ratio and Proportion? KS3 Maths Explained
What is ratio and proportion in KS3 maths? Clear definitions, worked examples, simplifying ratios, sharing in a ratio, and direct proportion explained.