- Order of operations
- parentheses → exponents → × ÷ (left to right) → + − (left to right)
- Fractions
- a/b + c/d = (ad + bc)/bd, a/b × c/d = ac/bd, a/b ÷ c/d = a/b × d/c
- Percent
- p% of N = (p/100)·N; percent = part/whole × 100
- Percent change
- (new − original)/original × 100
- Discount, then tax
- price × (1 − d/100) × (1 + t/100)
- Proportion
- a/b = c/d → ad = bc
- Mean, median, mode, range
- sum/count; middle of ordered list; most frequent; max − min
- Length, capacity, time
- 1 km = 1000 m, 1 m = 100 cm, 1 ft = 12 in, 1 yd = 3 ft, 1 mi = 5280 ft, 1 gal = 4 qt = 16 cups, 1 h = 60 min
- Temperature
- °F = °C·9/5 + 32, °C = (°F − 32)·5/9; a change of 1 °C = 1.8 °F
- Area
- rectangle l·w, triangle ½·b·h, circle π·r²
- Perimeter and circumference
- rectangle 2l + 2w, circle π·d = 2π·r
- Volume
- box l·w·h, cylinder π·r²·h; 1000 cm³ = 1 L
- Speed
- distance ÷ time (time in hours for mph or km/h)