Maths AT4 Prep Year 7 2025 MHS

Expand brackets

a(b+c)=ab+ac

Like terms

Terms with same variable and power; add/subtract coefficients

Solve 2-step equation

Undo +/− first, then ×/÷ to isolate variable

Factor common term

Reverse expand: e.g. 6x+9 = 3(2x+3)

Gradient

m = change in y ÷ change in x

y-intercept

Value of y when x = 0

Corresponding angles

Equal when lines are parallel

Alternate interior angles

Equal when lines are parallel

Co-interior angles

Sum to 180° when lines are parallel

Triangle angle sum

Interior angles total 180°

Area rectangle

Length × width

Area triangle

½ × base × height

Area parallelogram

Base × height

Circumference circle

2πr or πd

Area circle

πr²

Sector area

(θ/360) × πr²

Sector arc length

(θ/360) × 2πr

Perimeter

Total distance around shape

Volume rectangular prism

l × w × h

Convert % to decimal

Divide by 100 (25% → 0.25)

Percentage change

(new − original) / original × 100%

Rounding

Look at next digit; follow place-value rule