numbers

How to find HCF using prime factorisation (write numbers as products of primes, take common factors)

Find the HCF of 24 and 36

How to find LCM (use highest powers of all primes)

Find the LCM of 12 and 18

How to convert a recurring decimal to a fraction (set x = number, eliminate repeating part)

Express 0.333… as a fraction

How to calculate percentage increase (multiply by 1 + %)

Increase £250 by 12%

How to calculate reverse percentage (divide by multiplier)

A price after 20% increase is £120. Find original

How to calculate compound interest (multiply by (1 + r)^n)

£500 at 5% for 2 years

How to write in standard form (move decimal, adjust power of 10)

Write 4500000 in standard form

How to multiply standard form (multiply numbers, add powers)

(3×10²)(4×10³)

How to divide standard form (divide numbers, subtract powers)

(6×10⁵) ÷ (2×10²)

How to simplify surds (factorise inside root)

Simplify √72

How to rationalise denominator (multiply by conjugate)

Rationalise 1/(2+√3)

How to add surds (only like terms combine)

Simplify 3√2 + 5√2

How to use BIDMAS (correct order of operations)

Evaluate 3 + 6 × 2²

How to round to significant figures (start from first non-zero digit)

Round 0.007856 to 2 s.f.

How to find bounds (use half unit of rounding)

4.6 correct to 1 d.p., find upper bound

How to calculate error intervals (write as inequality)

Write bounds for 10 correct to nearest integer

How to convert fractions to decimals (divide numerator by denominator)

Convert 3/8 to decimal

How to convert decimals to percentages (×100)

Convert 0.45 to %

How to use ratio (simplify by dividing)

Simplify 12

How to share in a ratio (total parts then split)

Share £60 in ratio 2

How to solve proportion problems (set up equation)

If 3 pens cost £2.40, find cost of 5

How to calculate speed (distance ÷ time)

Travel 150 km in 3 hours. Find speed

How to calculate density (mass ÷ volume)

Mass 20g, volume 5cm³

How to calculate pressure (force ÷ area)

Force 50N, area 10m²

How to use powers (multiply = add indices)

Simplify x³ × x⁴

How to divide powers (subtract indices)

Simplify x⁷ ÷ x²

How to use negative indices (reciprocal)

Simplify x⁻³

How to expand powers (power of a power multiply indices)

Simplify (x²)³

How to evaluate roots (inverse of powers)

Find √144

How to estimate calculations (round numbers first)

Estimate 49 × 1