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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 midpoint of the segment joining (9, 6) and (−3, −3).

Answer: (3, 1.5)

  1. x: (9 + (−3)) ÷ 2 = 3
  2. y: (6 + (−3)) ÷ 2 = 1.5
2.Find the distance between (−4, 1) and (3, 10), correct to 1 decimal place.

Answer: 11.4

  1. Horizontal change = 7, vertical change = 9
  2. d = √(72 + 92) = √130
  3. = 11.4
3.Find the distance between (1, 0) and (6, 12).

Answer: 13

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

Answer: (6.5, −2)

  1. x: (9 + 4) ÷ 2 = 6.5
  2. y: (2 + (−6)) ÷ 2 = −2
5.Find the midpoint of the segment joining (7, −3) and (7, −5).

Answer: (7, −4)

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

Answer: (4, −0.5)

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

Answer: (3, −5)

  1. x: (−1 + 7) ÷ 2 = 3
  2. y: (−7 + (−3)) ÷ 2 = −5
8.Find the distance between (−5, 2) and (−7, 3), correct to 1 decimal place.

Answer: 2.2

  1. Horizontal change = 2, vertical change = 1
  2. d = √(22 + 12) = √5
  3. = 2.2
9.Find the midpoint of the segment joining (−3, −6) and (3, 0).

Answer: (0, −3)

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

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
11.Find the distance between (2, 6) and (7, 8), correct to 1 decimal place.

Answer: 5.4

  1. Horizontal change = 5, vertical change = 2
  2. d = √(52 + 22) = √29
  3. = 5.4
12.Find the midpoint of the segment joining (−7, −6) and (−6, −1).

Answer: (−6.5, −3.5)

  1. x: (−7 + (−6)) ÷ 2 = −6.5
  2. y: (−6 + (−1)) ÷ 2 = −3.5
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