This trainer turns a list of distances and heights along a transect into a cross-section, then compares the slope of each segment. It helps students who can read contour lines but want to check how steep each part of a profile really is.
Free tool · Geography
Contour profile and slope trainer
You can read the contour lines but your cross-section slopes look wrong or unconvincing.
Everything you enter stays on this device.
How do I use it?
- Choose an example transect, or pick “My own points” and type one point per line as distance, height.
- Set the horizontal scale and the vertical scale in metres per centimetre.
- Press “Draw profile”.
- Read the vertical exaggeration, the point table, the segment gradients and the notes on high and low points.
How does it work?
Each point is a place where the transect line crosses a contour, with its distance along the line and its height. The tool joins the points with straight lines, which assumes the ground runs evenly between two crossings.
The gradient of a segment is its rise divided by its run, with a fall written as a negative number. Vertical exaggeration is the horizontal scale divided by the vertical scale, both in metres per centimetre.
The steepest segment is the one with the largest gradient, ignoring the sign. Distances must increase along the line, and heights must stay between -500 m and 9000 m.
A short worked example
Use points at 0 m, 100 m and 200 m with heights 20 m, 40 m and 30 m. The first segment rises 20 m over 100 m, a gradient of +0.20. The second falls 10 m over 100 m, a gradient of -0.10.
With 1 cm for 100 m across and 1 cm for 10 m up, the vertical exaggeration is 10. The drawn profile is 2 cm wide and 2 cm tall, so it looks much steeper than the true slope of about 1 in 5.
If you change the vertical scale to 1 cm for 100 m, the exaggeration becomes 1 and the drawing flattens, but the gradients stay +0.20 and -0.10.
What are its limits?
The transects are schematic, so they are far from surveyed terrain. Up to 10 points are accepted, and the tool cannot tell whether a low point is a valley or a hollow without the contour pattern on the map. Use it for geographical reasoning only, and keep navigation, construction, flood prediction and safety decisions for proper sources.
Where does it connect to the lessons?
Begin with interpreting contours and relief and then the topic on contours, height and cross-sections. The lesson on inferring slope steepness from contour spacing explains the link between spacing and gradient, and drawing a cross-section from an original contour transect practises the drawing.
If slope reasoning is where marks slip, SPM Geography tuition gives you a teacher to practise with. The one-hour trial class (from RM50) is the first step.
Common questions
What is gradient on a cross-section?
Gradient is the height change divided by the horizontal distance between two points. A rise of 20 m over 100 m is a gradient of 0.20, which is also written as 1 in 5.
What is vertical exaggeration?
It is how many times more the height is stretched than the distance on the drawing. With 1 cm for 100 m across and 1 cm for 10 m up, the exaggeration is 10, so slopes look ten times steeper than real.
How do closer contour lines relate to slope?
Over the same height change, closer contours mean a shorter horizontal distance, so the gradient is larger and the slope is steeper. Wide spacing means a gentler slope.
Does the tool use real terrain?
It works from schematic points that you supply or choose from the examples. Real topographic maps are not loaded, and the profile is for geographical reasoning only.
A teacher can look at your own cross-section method in a one-to-one lesson and practise the steps where slope reasoning goes wrong, until you can explain each segment in words.
- Online one-to-one lessons for your child with an experienced teacher.
- Your first class is a one-hour trial, from RM50. The fee is agreed before you book.
- Happy with the teacher? Continue with lessons of about 1.5 hours. If not, ask for another teacher.