Coordinate Question Generator

Builds a sheet of coordinate questions at the level you ask for. Every coordinate is whole, every distance comes out whole, and the gentle level stays in the first quadrant where nothing is negative. Every question is computed and checked directly — not a fabricated or AI-guessed fact.

How many questions

Between 1 and 30. Ten fills a page.

Level

Seed (optional)

A word reproduces the same sheet, so a whole class can be given the identical set.

Gentle stays in the first quadrant, reading and translating. Standard adds reflections, midpoints and a missing vertex; stretch adds distances and negative coordinates.

Paper size

Print size

Margin

Millimetres of blank edge, 5 to 40.

Turn the paper sideways

Room to answer in

How to print this, or save it as a PDF

There is no PDF to download, and there does not need to be. Open the print command in your browser and choose “Save as PDF” as the destination. The page addresses and dates a browser normally prints across the top and bottom are already kept off.
Set the scale to 100%, not “fit to page”. This sheet is already the exact size of the paper you chose, so anything that resizes it makes every measurement on it wrong.
Leave the paper size in the dialog set to the same one you chose here.

Your questions will appear here.

What this generator does

Generates coordinate questions with answers — reading a point, naming its quadrant, translating, reflecting in an axis, finding a midpoint, completing a rectangle and measuring a distance. Negative quadrants arrive from the standard level onwards, because a student who has only worked in the first quadrant has not really met coordinates.

How to use this tool

Choose a level and how many questions you want.
Press make questions and work through the sheet.
Show the answers to mark it, or show the working to see how each point was found.
Enter a seed word to rebuild the same sheet later.

Common use cases

Coordinate-plane practice at home or school
Quick maths warm-ups
Self-testing before a maths quiz

Randomness and fairness

Coordinates are drawn with the browser's cryptographic random number generator across whichever quadrants the level allows, then constrained where the question demands it: a midpoint question uses ends whose coordinates share a parity so the middle is whole, a distance question uses a Pythagorean triple so the answer is whole, and a quadrant question never uses a point on an axis, since such a point is in no quadrant and the question would have no correct answer. A seed word rebuilds the same sheet later; it is there for reproducibility, not cryptographic strength, and a seeded sheet is deterministic rather than unpredictable.

For how randomness is produced across the whole site, see how Generate Random works.

Limitations and good to know

There is no grid to plot on. Points are given and asked for in writing, which suits a printed sheet and does not replace squared paper.
Distances are always whole numbers, which means they always come from a right-angled triangle with whole sides. Real distances usually do not, and a calculator question would look different.
Reflections here are in the x-axis or the y-axis only. For reflecting in a sloping line such as y = x, and for what happens when transformations are combined, the isometry composition generator does that and proves every distance survives.

Common mistakes

Writing the coordinates the wrong way round: Along the corridor and up the stairs: x first, then y. (3, 5) and (5, 3) are different points.
Losing a sign in a negative quadrant: Check which quadrant the point is in before writing the pair; each quadrant has its own sign combination.