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Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — Answers

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

Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Geometry

Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — 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.In which quadrant is the point (−6, 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.

2.In which quadrant is the point (1, −9)?
  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.

3.Find the midpoint of the segment joining (2, −8) and (−8, −4).

Answer: (−3, −6)

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

Answer: (5, 0.5)

  1. x: (8 + 2) ÷ 2 = 5
  2. y: (0 + 1) ÷ 2 = 0.5
5.Find the midpoint of the segment joining (−8, −6) and (−3, 5).

Answer: (−5.5, −0.5)

  1. x: (−8 + (−3)) ÷ 2 = −5.5
  2. y: (−6 + 5) ÷ 2 = −0.5
6.In which quadrant is the point (4, −6)?
  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.

7.In which quadrant is the point (1, 2)?
  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.

8.In which quadrant is the point (7, 5)?
  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.

9.Find the midpoint of the segment joining (−3, 2) and (5, −1).

Answer: (1, 0.5)

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

Answer: (5, −2.5)

  1. x: (5 + 5) ÷ 2 = 5
  2. y: (3 + (−8)) ÷ 2 = −2.5
11.In which quadrant is the point (−8, −8)?
  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 (−1, 2)?
  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.

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