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Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 3 — Answers

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

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Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Geometry

Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 3 — 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 (−8, 1) and (−2, −2).

Answer: (−5, −0.5)

  1. x: (−8 + (−2)) ÷ 2 = −5
  2. y: (1 + (−2)) ÷ 2 = −0.5
2.Find the midpoint of the segment joining (−6, −6) and (0, 2).

Answer: (−3, −2)

  1. x: (−6 + 0) ÷ 2 = −3
  2. y: (−6 + 2) ÷ 2 = −2
3.Find the distance between (−6, 1) and (0, −6), correct to 1 decimal place.

Answer: 9.2

  1. Horizontal change = 6, vertical change = 7
  2. d = √(62 + 72) = √85
  3. = 9.2
4.Find the distance between (0, 3) and (−8, 18).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
5.Find the distance between (0, −3) and (1, −2), correct to 1 decimal place.

Answer: 1.4

  1. Horizontal change = 1, vertical change = 1
  2. d = √(12 + 12) = √2
  3. = 1.4
6.Find the midpoint of the segment joining (0, 1) and (−9, −2).

Answer: (−4.5, −0.5)

  1. x: (0 + (−9)) ÷ 2 = −4.5
  2. y: (1 + (−2)) ÷ 2 = −0.5
7.Find the midpoint of the segment joining (3, 0) and (9, 2).

Answer: (6, 1)

  1. x: (3 + 9) ÷ 2 = 6
  2. y: (0 + 2) ÷ 2 = 1
8.Find the distance between (−5, 5) and (−11, 13).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
9.Find the midpoint of the segment joining (1, −4) and (−8, −9).

Answer: (−3.5, −6.5)

  1. x: (1 + (−8)) ÷ 2 = −3.5
  2. y: (−4 + (−9)) ÷ 2 = −6.5
10.Find the midpoint of the segment joining (−8, −4) and (−8, 6).

Answer: (−8, 1)

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

Answer: (−2.5, 0.5)

  1. x: (−8 + 3) ÷ 2 = −2.5
  2. y: (5 + (−4)) ÷ 2 = 0.5
12.Find the midpoint of the segment joining (5, 7) and (7, −8).

Answer: (6, −0.5)

  1. x: (5 + 7) ÷ 2 = 6
  2. y: (7 + (−8)) ÷ 2 = −0.5
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