Maths
Stretch – Midpoints on a Coordinate Grid
Stretch (independent-school 11+): find the midpoint of a line segment from the coordinates of its ends, and find an endpoint from the midpoint.
MathsAge 11+25 minutes
What this topic covers
- Find a midpoint by averaging the x-coordinates and the y-coordinates.
- Handle negatives and answers that are halves.
- Find a missing endpoint given the other endpoint and the midpoint.
Core concept summaries
Key ConceptsAverage the CoordinatesNegatives and HalvesA Missing Endpoint; the Subtract Trap
Practice formats pupils may meet
NeurofiED uses varied practice to help pupils apply the idea actively, check understanding and build confidence over time.
clozematchingquiz
Example quiz question
Midpoint of (2, 3) and (8, 7)?
- (10, 10)
- (3, 2)
- (6, 4)
- (5, 5)
Show the answer
Answer: D. (5, 5)
Average.