Example 1 · level 1 — a gentle start
What are the coordinates of the marked point?
- (3, 3)
- (4, 3)
- (6, 6)
- (-3, -3)
Answer: (3, 3) — Coordinates are (across, up) — the x value always comes first.
Coordinates comes up in the maths paper of every major 11+ format. Here is what the questions look like, the method that works under time pressure, and five worked examples with the full reasoning, from a gentle start to a hard paper.
Maths · examined by GL and CEM · 5 worked examples
Where marks get lost: Reflecting in the x-axis flips the second number's sign; the y-axis flips the first.
Every question below is generated by the same engine your child practises on, and every answer is derived by our checker rather than written by hand — which is why we can put them on a public page at all.
Example 1 · level 1 — a gentle start
What are the coordinates of the marked point?
Answer: (3, 3) — Coordinates are (across, up) — the x value always comes first.
Example 2 · level 2 — typical of early practice
What are the coordinates of the marked point?
Answer: (4, 5) — Coordinates are (across, up) — the x value always comes first.
Example 3 · level 3 — standard paper difficulty
Where is the point after reflecting in the x-axis?
Answer: (8, -4) — Coordinates are (across, up) — the x value always comes first.
Example 4 · level 4 — a harder paper
Where is the point after reflecting in the y-axis?
Answer: (4, 2) — Coordinates are (across, up) — the x value always comes first.
Example 5 · level 5 — the level that separates candidates
Where is the point after moving 3 across and -4 up?
Answer: (4, -5) — Coordinates are (across, up) — the x value always comes first.
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