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Coordinates and Shapes is a free printable Grade 5 maths worksheet on the fourth vertex of a rectangle, aligned to Common Core standard 5.G.A.1. It prints 10 questions with an answer key on its own sheet of paper, in 25 versions that each ask different questions, so no two pupils in the class work from the same page. Print it from the browser or download it as a PDF — no account, no email.

Set 1 of 25 · the same problems every time you open this link.

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All 25 sets ask different questions.

Coordinates and Shapes

5.G.A.1

NameDate

Work out each answer.

1.Three corners of a rectangle are (2, 3), (5, 3) and (2, 7). What is the fourth?
2.Three corners of a rectangle are (5, 3), (10, 3) and (5, 5). What is the fourth?
3.Three corners of a rectangle are (3, 2), (7, 2) and (3, 5). What is the fourth?
4.Three corners of a rectangle are (4, 2), (8, 2) and (4, 6). What is the fourth?
5.Three corners of a rectangle are (1, 2), (4, 2) and (1, 8). What is the fourth?
6.Three corners of a rectangle are (6, 2), (8, 2) and (6, 8). What is the fourth?
7.Three corners of a rectangle are (4, 1), (6, 1) and (4, 4). What is the fourth?
8.Three corners of a rectangle are (6, 1), (10, 1) and (6, 5). What is the fourth?
9.Three corners of a rectangle are (3, 6), (8, 6) and (3, 9). What is the fourth?
10.Three corners of a rectangle are (4, 6), (10, 6) and (4, 8). What is the fourth?

LessonPrint · 5.G.A.1 · Set 1 · free to copy for classroom use

Answer key — Coordinates and Shapes

Set 1. Prints on its own sheet.

  1. 1.(5, 7)
  2. 2.(10, 5)
  3. 3.(7, 5)
  4. 4.(8, 6)
  5. 5.(4, 8)
  6. 6.(8, 8)
  7. 7.(6, 4)
  8. 8.(10, 5)
  9. 9.(8, 9)
  10. 10.(10, 8)

Questions about Coordinates and Shapes

What does the Coordinates and Shapes worksheet cover?

It practises the fourth vertex of a rectangle — 10 questions for Grade 5, all on Common Core 5.G.A.1: Plot points on a coordinate grid. The instruction to pupils is “Work out each answer”, and the answer key follows on the next sheet.

Which Common Core standard does Coordinates and Shapes practise?

CCSS.MATH.CONTENT.5.G.A.1 — 5.G.A.1, in the Geometry domain for Grade 5. The published standard reads: “Use a pair of perpendicular number lines, called axes, to define a coordinate system, and represent real world and mathematical problems by graphing points in the first quadrant.” The worksheet assesses that standard rather than a paraphrase of it.

What age or grade is this worksheet for?

Coordinates and Shapes is written for Grade 5, typically ages 10-11. It is one of the sheets on 5.G.A.1, so it suits any pupil working at that standard — including older pupils revisiting it and younger ones working ahead.

Does Coordinates and Shapes come with an answer key?

Yes. All 10 answers are generated from the same problems as the questions, so the key cannot drift out of step with the sheet. It starts on a fresh sheet of paper, after the questions, so it is not handed out with the class by accident.

How many different versions of Coordinates and Shapes can I print?

25 — one per pupil, and all 25 ask different questions. Set 1 downloads the whole class as a single PDF. Every version is fixed to its own address, so a sheet printed today holds the same problems when you reopen it next week.

Is Coordinates and Shapes free to print and photocopy?

Yes. Coordinates and Shapes, its answer key and its 25 versions are free to print and photocopy for your own class, with no account, no email capture and no subscription at the download step. Please do not resell them or republish them as your own.

More practice for 5.G.A.1

Plot points on a coordinate grid.

All Grade 5 worksheets

Last reviewed 2026-09-05. Aligned to 5.G.A.1 of the Common Core State Standards for mathematics.