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Maths · Geometry

Plot or read a coordinate

Read or place one point on a coordinate grid.

Free to use and free to share. There is no sign-up, no score, and nothing a child does here is recorded or sent anywhere.

Practise it now

Drag the track to play the cards and watch the outline move. Then say where corner C finished.

This exercise practises plot or read a coordinate alongside its own main skill, Composing Transformations.

It covers most of this skill rather than all of it.

Loading the interactive exercise. Nothing you do here is saved or scored.

A worked example

One question of the kind this skill is tested with, worked all the way through: the reasoning, and what the wrong answers are there to catch.

Writing a point as a pair of coordinates

What are the coordinates of point B?

Follow the x-axis to 6, then the y-axis to 1.

  • Plotted on the grid: B at (6, 1).
  1. (6, -1)
  2. (1, 6)
  3. (6, 1)
  4. (-6, 1)

Answer: (6, 1)

How you get there

B is 6 right of the origin and 1 above it, so point B is written (6, 1). Writing (1, 6) instead would describe a different place on the grid, because the across number always comes first.

Why the other answers tempt

Counting squares from the origin gives the distance, but the sign says which side of the axis the point is on.

If they are stuck, say this

Read across the x-axis first and then up or down the y-axis - the first number in the pair is always the across one.

Now do it live in The Transformation Deck

What this exercise is doing

The Transformation Deck

Drag the track to play the cards and watch the outline move. Then say where corner C finished.

This engine’s own main skill is Composing Transformations. It practises plot or read a coordinate alongside it, and covers most of it rather than all.

The programme is “Flip in the line y = x”, then “Slide 2 right, 3 down”. Taking the cards one at a time, a flip in y = x SWAPS the two numbers: (x, y) becomes (y, x), and no sign changes at all; and then a slide adds the same pair of numbers to every corner: (x, y) becomes (x + 2, y − 3). Corner C starts at (-2, 3) and finishes at (5, -5). The order matters as much as the cards do: each card acts on wherever the shape has got to, not on where it started, so playing them the other way round can leave the shape somewhere else entirely.

  1. Step 1. Play it. Drag the fold track all the way across to play both cards, then scrub back and forth.
  2. Step 2. Where did it land?. Now the question: where does corner C finish?

What to say if they get stuck

  1. Scrub the track slowly, and back again. The pale outlines show every place the shape stopped.
  2. Follow corner C on its own rather than the whole shape - it leaves a dotted trail.
  3. a slide adds the same pair of numbers to every corner: (x, y) becomes (x + 2, y − 3).

Open The Transformation Deck on its own page to share it

What usually goes wrong here

  • Reads the vertical coordinate before the horizontal coordinate.

This is the wrong answer 11+ papers are built to offer, so it is worth watching for directly: a child who does this will look confident and still lose the mark. If it keeps happening on plot or read a coordinate, the fix is the misunderstanding rather than more questions.

How plot or read a coordinate differs from the skills beside it

The same exercise practises several skills, and telling them apart is often the difficulty rather than the exercise itself. On this page the skill is: read or place one point on a coordinate grid, and it stops where axis range and quadrant are explicit.

  • Compose coordinate transformations

    Apply two stated coordinate transformations in order. Exactly two transformations are composed. Single transformations have separate skills.

  • Reflect a coordinate

    Determine a point image after reflection in a stated coordinate axis. One point and one stated mirror axis only.

  • Rotate a coordinate

    Determine a point image after a stated rotation about the origin. The centre, direction, and turn are explicit.

  • Translate a coordinate

    Determine a point image or translation vector on a coordinate grid. One point and one translation only.

  • Compose a visual transformation sequence

    Apply three stated rotations or reflections in order. Exactly three transformations are composed. One-step and two-step transformations have separate skills.

Related maths skills

All maths 11+ skills

Questions parents ask about plot or read a coordinate

Answered from what the skill map records about this skill, not from a template. Every answer here is on the page, and the same questions are the page's FAQ structured data.

Read or place one point on a coordinate grid. It is one of 55 named maths skills in the 11+, in the geometry strand, and this page carries 1 interactive exercise that practises it.

One wrong answer is a slip, the same wrong answer every time is a habit

A free diagnostic looks at which mistakes repeat across all four subjects, not just whether plot or read a coordinate was right on the day.