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Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 2 — 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 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 distance between (0, 0) and (−2, −3), correct to 1 decimal place.

Answer: 3.6

  1. Horizontal change = 2, vertical change = 3
  2. d = √(22 + 32) = √13
  3. = 3.6
2.Find the midpoint of the segment joining (−5, 1) and (−8, 7).

Answer: (−6.5, 4)

  1. x: (−5 + (−8)) ÷ 2 = −6.5
  2. y: (1 + 7) ÷ 2 = 4
3.Find the distance between (6, 5) and (1, −7).

Answer: 13

  1. Horizontal change = 5, vertical change = 12
  2. d = √(52 + 122) = √169
  3. = 13
4.Find the midpoint of the segment joining (−6, 2) and (3, 9).

Answer: (−1.5, 5.5)

  1. x: (−6 + 3) ÷ 2 = −1.5
  2. y: (2 + 9) ÷ 2 = 5.5
5.Find the midpoint of the segment joining (2, −6) and (−7, 2).

Answer: (−2.5, −2)

  1. x: (2 + (−7)) ÷ 2 = −2.5
  2. y: (−6 + 2) ÷ 2 = −2
6.Find the midpoint of the segment joining (−3, −1) and (0, −6).

Answer: (−1.5, −3.5)

  1. x: (−3 + 0) ÷ 2 = −1.5
  2. y: (−1 + (−6)) ÷ 2 = −3.5
7.Find the midpoint of the segment joining (3, −5) and (−4, −8).

Answer: (−0.5, −6.5)

  1. x: (3 + (−4)) ÷ 2 = −0.5
  2. y: (−5 + (−8)) ÷ 2 = −6.5
8.Find the distance between (5, 2) and (8, 6).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
9.Find the midpoint of the segment joining (6, 7) and (5, 9).

Answer: (5.5, 8)

  1. x: (6 + 5) ÷ 2 = 5.5
  2. y: (7 + 9) ÷ 2 = 8
10.Find the distance between (6, 4) and (14, −11).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
11.Find the midpoint of the segment joining (1, −2) and (3, −4).

Answer: (2, −3)

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

Answer: (2.5, −2)

  1. x: (3 + 2) ÷ 2 = 2.5
  2. y: (2 + (−6)) ÷ 2 = −2
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