Success TutoringWorksheets

Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 6 geometry worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Geometry

Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Answers

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 (4, 7) and (−3, −5).

Answer: (0.5, 1)

  1. x: (4 + (−3)) ÷ 2 = 0.5
  2. y: (7 + (−5)) ÷ 2 = 1
2.Find the midpoint of the segment joining (9, 1) and (6, 2).

Answer: (7.5, 1.5)

  1. x: (9 + 6) ÷ 2 = 7.5
  2. y: (1 + 2) ÷ 2 = 1.5
3.In which quadrant is the point (−7, −1)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: third

x is negative and y is negative, so the point is in the third quadrant.

4.Find the midpoint of the segment joining (−1, 5) and (−3, −6).

Answer: (−2, −0.5)

  1. x: (−1 + (−3)) ÷ 2 = −2
  2. y: (5 + (−6)) ÷ 2 = −0.5
5.Find the midpoint of the segment joining (−4, −6) and (8, −4).

Answer: (2, −5)

  1. x: (−4 + 8) ÷ 2 = 2
  2. y: (−6 + (−4)) ÷ 2 = −5
6.Find the midpoint of the segment joining (8, −3) and (0, −3).

Answer: (4, −3)

  1. x: (8 + 0) ÷ 2 = 4
  2. y: (−3 + (−3)) ÷ 2 = −3
7.In which quadrant is the point (9, −2)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: fourth

x is positive and y is negative, so the point is in the fourth quadrant.

8.In which quadrant is the point (−3, 3)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: second

x is negative and y is positive, so the point is in the second quadrant.

9.Find the midpoint of the segment joining (−9, −1) and (−2, 5).

Answer: (−5.5, 2)

  1. x: (−9 + (−2)) ÷ 2 = −5.5
  2. y: (−1 + 5) ÷ 2 = 2
10.Find the midpoint of the segment joining (8, 6) and (−3, 5).

Answer: (2.5, 5.5)

  1. x: (8 + (−3)) ÷ 2 = 2.5
  2. y: (6 + 5) ÷ 2 = 5.5
11.In which quadrant is the point (−2, −1)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: third

x is negative and y is negative, so the point is in the third quadrant.

12.In which quadrant is the point (2, 3)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: first

x is positive and y is positive, so the point is in the first quadrant.

Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: