The formula
From the formula sheet:
gradient =
vertical height
horizontal distance
⚠ Both measurements must be in the same units before you divide.
A ramp rises 3·6 m vertically over a horizontal distance of 480 cm. Calculate the gradient of the ramp. Give your answer as a fraction in its simplest form.(2 marks)
Convert so both measurements are in the same unit.3·6 m = 360 cm✓1
In plain EnglishThe height is in metres and the distance is in centimetres — you can't divide them yet. Multiply 3·6 by 100 to convert metres into centimetres.
3·6 × 100 = 360 cm.
3·6 × 100 = 360 cm.
Write the gradient as a fraction.gradient = 360480
In plain EnglishUse the formula: gradient = vertical height ÷ horizontal distance.
gradient = 360/480
gradient = 360/480
Simplify to its simplest form.
360
480
÷ 120
÷ 120
=
34
3
4
✓2
In plain EnglishFind the highest number that divides into both 360 and 480. That's 120.
360 ÷ 120 = 3 | 480 ÷ 120 = 4
3 and 4 share no common factors, so 3/4 is the final answer. ✓
360 ÷ 120 = 3 | 480 ÷ 120 = 4
3 and 4 share no common factors, so 3/4 is the final answer. ✓
⚠ Common errors
- Writing 3·6/480 without converting — units must match before you divide.
- Inverting the fraction to give 4/3 — gradient is always vertical ÷ horizontal.
- Stopping at 360/480 without fully simplifying — M2 is not awarded.
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Your turn
Non-calculator. Type your answer as a fraction, like 3/4. Stuck? Tap Need a hint?