Numbers – Core Subtopics
Select a subtopic, then choose Paper 1 (Non-calculator) or Paper 3 (Calculator) to view questions and worksheets.
Types of Numbers
Natural, integers, primes, squares, cubes, rational and irrational numbers.
Sets
Set notation, elements, subsets, complements and simple Venn diagrams.
Powers & Roots
Squares, cubes and their roots in mental and written calculations.
Fractions, Decimals & Percentages
Converting between forms and solving calculations in real-life contexts.
Ordering
Ordering integers, decimals, fractions and percentages using inequality symbols.
The Four Operations
Addition, subtraction, multiplication, division and order of operations in problems.
Standard Form
Writing large and small numbers as A × 10n and using them in calculations.
Rounding & Estimation
Rounding to decimal places and significant figures; estimating sensible answers.
Limits of Accuracy
Upper and lower bounds for measurements rounded to given units.
Ratio & Proportion
Simplifying ratios, dividing quantities and solving proportional word problems.
Rates
Everyday rates such as speed, pay rates and currency exchange in context.
Percentages
Percentage of amounts, percentage change, profit, loss, and simple interest.
Using Calculator
Efficient calculator use, correct input and sensible rounding of final answers only.
Time
12-hour and 24-hour time, timetables and time differences in real situations.
Money
Everyday money problems, bills and simple currency conversion questions.