Numbers – Extended Subtopics
Select a subtopic, then choose Paper 2 (Non-calculator) or Paper 4 (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 Venn diagrams.
Powers and Roots
Squares, cubes, higher powers and their corresponding roots.
Fractions, Decimals & Percentages
Converting and calculating between fractions, decimals and percentages.
The Four Operations
Addition, subtraction, multiplication, division and order of operations.
Indices
Positive, zero, negative and fractional indices and index laws.
Standard Form
Writing large and small numbers as A × 10n and calculating with them.
Estimation
Rounding to dp and significant figures and making sensible estimates.
Limits of Accuracy
Upper and lower bounds for rounded measurements and calculations.
Ratio & Proportion
Simplifying ratios, dividing in a ratio and solving proportional problems.
Rates
Speed, density, population density and other rate problems.
Percentages
Percentage change, compound interest and reverse percentage problems.
Time
Time calculations, 12/24-hour clock, timetables and time zones.
Money
Everyday money problems and currency conversions.
Exponential Growth & Decay
Repeated percentage change, population growth and depreciation models.
Surds
Simplifying surds and rationalising denominators in exact form.