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Steep Hill Road Signs: Understanding Gradients and Their Representations, Lecture notes of European Computer Driving Licence (ECDL)

The meaning of steep hill road signs in the uk, which provide advance warning of steep hills with a red triangle sign and a slope representation. How to interpret the percentage and ratio expressions on the signs, and includes examples and exercises to test understanding.

What you will learn

  • Given a gradient expressed as a ratio, how can you determine the percentage?
  • Given a slope length and change in height, how can you determine the gradient expressed as a percentage?
  • What is the meaning of the steep hill road sign in the UK?

Typology: Lecture notes

2021/2022

Uploaded on 09/12/2022

kavinsky
kavinsky 🇺🇸

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Data sheet Steep hill road signs
Some of the signs used on Britain’s roads give advance warning of steep hills.
The sign is a red triangle (as are all road warning signs) with a slope going
up or down, and a numerical expression.
If the road goes downhill, the slope on the sign goes down from left to right.
If the road goes uphill, the slope on the sign goes up from left to right.
The approximate gradient of the slope is shown on the sign, either
as a percentage, such as 10% or 14%, or
as a ratio, for example 1 : 7 (written as 1 in 7 on older signs)
A gradient of 1:10 (1 in 10) means that for every 10 metres of forward travel
on the hill, the height changes by about one metre.
10
1
One tenth is 10%, so the sign above is for a 1 in 10 downhill slope.
A hill of 1 : 20 means that there will be a change in height of one metre for
every 20 metres of forward travel.
One twentieth is 5%, so a gradient of 5% indicates a 1 in 20 slope.
20
1
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Data sheet Steep hill road signs

Some of the signs used on Britain’s roads give advance warning of steep hills. The sign is a red triangle (as are all road warning signs) with a slope going up or down, and a numerical expression. If the road goes downhill, the slope on the sign goes down from left to right. If the road goes uphill, the slope on the sign goes up from left to right. The approximate gradient of the slope is shown on the sign, either

  • as a percentage, such as 10% or 1 4 %, or
  • as a ratio, for example 1 : 7 (written as 1 in 7 on older signs) A gradient of 1:10 (1 in 10) means that for every 10 metres of forward travel on the hill, the height changes by about one metre. 10 1 One tenth is 10%, so the sign above is for a 1 in 10 downhill slope. A hill of 1 : 20 means that there will be a change in height of one metre for every 20 metres of forward travel. One twentieth is 5%, so a gradient of 5% indicates a 1 in 20 slope. 20 1

Questions Steep hill road signs

(a) Does this sign indicate that the road will be going downhill or uphill? (b) The slope following this sign is 200 metres long. Approximately how much change in height will there be from the start to the finish of the slope?


2 Here is a photograph of another sign. Which of these ratios is approximately equivalent to a gradient of 17%? Put a ring around the correct answer. 1 : 17 1 : 8 1 : 7 1 : 6 1 : 5