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WorksheetYear 8Level 3 · Challenge

Free Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3

Name the quadrant of a point, find the midpoint of a segment and the distance between two points. A challenge set for students ready to stretch further. This Year 8 worksheet has 12 questions and comes with a full answer sheet showing the working for every question.

Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Year
Year 8
Subject
Maths
Topic
Geometry
Difficulty
Level 3 · Challenge
Estimated time
15 minutes
Curriculum
New Zealand Curriculum
Questions
12
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practise

  • identifying quadrants on the coordinate plane
  • finding the midpoint of a segment
  • finding the distance between two points

Curriculum: New Zealand Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3

  1. 1Year 8 Mean, Median, Mode and Range Worksheet — Level 1
  2. 2Year 8 Probability Worksheet — Level 1
  3. 3Year 8 Reading Data Tables Worksheet — Level 1
← Easier: Level 2 · Standard

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 8 students (typically ages 12–13) working on geometry. It is pitched at level 3 · challenge; an easier version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 15 minutes for 12 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try Year 8 Mean, Median, Mode and Range Worksheet — Level 1.

Preview

Success TutoringWorksheetsYear 8 · Mathematics · Geometry

Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3

Name

Date

Score /

Midpoint = (average of the x-values, average of the y-values). Distance: use Pythagoras with the horizontal and vertical changes.

1.Find the midpoint of the segment joining (6, 1) and (2, −2).
2.Find the midpoint of the segment joining (5, −8) and (−6, 4).
3.Find the distance between (−2, −3) and (7, −15).
4.Find the distance between (5, −2) and (4, −9), correct to 1 decimal place.
5.Find the distance between (6, −4) and (3, −8).
6.Find the distance between (−2, 6) and (5, 7), correct to 1 decimal place.
7.Find the midpoint of the segment joining (8, −6) and (−9, −4).
8.Find the distance between (2, 2) and (7, −10).
9.Find the midpoint of the segment joining (−3, −8) and (−2, 3).
10.Find the distance between (2, −6) and (−2, −4), correct to 1 decimal place.
11.Find the midpoint of the segment joining (−6, −8) and (9, −9).
12.Find the midpoint of the segment joining (−7, 5) and (2, 6).
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource and answer sheet.

More Year 8 geometry resources

  • Worksheet

    Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 1

    Name the quadrant of a point, find the midpoint of a segment and the distance between two points. Builds confidence with the core skill…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2

    Name the quadrant of a point, find the midpoint of a segment and the distance between two points. Expected-level practice for this year…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included

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About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.