Small practice. Bright discoveries.Explore the free starter collection
worksheetstudio.
Sign in
Back to worksheets
MathsAges 13-15

Midpoint of a line segment

Average the x-coordinates and y-coordinates of two endpoints to find the midpoint M of a line segment. Review suitability for your learners before teaching.

New variationTry interactive challengeBrowse templates
Age band:Ages 13-15Ages 16-18

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

Worksheet StudioPractice pack · Ages 13-15

Midpoint of a line segment

Take your time. Show your thinking.

  1. 1. Find the midpoint of the line segment joining (2, 22) and (12, 42).

    2 · 22 · 12 · 42 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (4, 10) and (14, 14).

    4 · 10 · 14 · 14 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (18, 22) and (30, 26).

    18 · 22 · 30 · 26 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (22, 20) and (38, 26).

    22 · 20 · 38 · 26 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (14, 18) and (30, 38).

    14 · 18 · 30 · 38 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (12, 14) and (16, 32).

    12 · 14 · 16 · 32 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (8, 24) and (24, 32).

    8 · 24 · 24 · 32 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (4, 20) and (24, 30).

    4 · 20 · 24 · 30 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (28, 4) and (42, 6).

    28 · 4 · 42 · 6 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (16, 12) and (30, 24).

    16 · 12 · 30 · 24 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (30, 20) and (40, 28).

    30 · 20 · 40 · 28 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (6, 16) and (8, 22).

    6 · 16 · 8 · 22 · Midpoint of a line segment
12 questions · Seed 104735 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15

Midpoint of a line segment

Answers and reasoning. Review before teaching.

  1. 1. Find the midpoint of the line segment joining (2, 22) and (12, 42).

    (7, 32)

    Midpoint = ((2 + 12) ÷ 2, (22 + 42) ÷ 2) = (7, 32).

  2. 2. Find the midpoint of the line segment joining (4, 10) and (14, 14).

    (9, 12)

    Midpoint = ((4 + 14) ÷ 2, (10 + 14) ÷ 2) = (9, 12).

  3. 3. Find the midpoint of the line segment joining (18, 22) and (30, 26).

    (24, 24)

    Midpoint = ((18 + 30) ÷ 2, (22 + 26) ÷ 2) = (24, 24).

  4. 4. Find the midpoint of the line segment joining (22, 20) and (38, 26).

    (30, 23)

    Midpoint = ((22 + 38) ÷ 2, (20 + 26) ÷ 2) = (30, 23).

  5. 5. Find the midpoint of the line segment joining (14, 18) and (30, 38).

    (22, 28)

    Midpoint = ((14 + 30) ÷ 2, (18 + 38) ÷ 2) = (22, 28).

  6. 6. Find the midpoint of the line segment joining (12, 14) and (16, 32).

    (14, 23)

    Midpoint = ((12 + 16) ÷ 2, (14 + 32) ÷ 2) = (14, 23).

  7. 7. Find the midpoint of the line segment joining (8, 24) and (24, 32).

    (16, 28)

    Midpoint = ((8 + 24) ÷ 2, (24 + 32) ÷ 2) = (16, 28).

  8. 8. Find the midpoint of the line segment joining (4, 20) and (24, 30).

    (14, 25)

    Midpoint = ((4 + 24) ÷ 2, (20 + 30) ÷ 2) = (14, 25).

  9. 9. Find the midpoint of the line segment joining (28, 4) and (42, 6).

    (35, 5)

    Midpoint = ((28 + 42) ÷ 2, (4 + 6) ÷ 2) = (35, 5).

  10. 10. Find the midpoint of the line segment joining (16, 12) and (30, 24).

    (23, 18)

    Midpoint = ((16 + 30) ÷ 2, (12 + 24) ÷ 2) = (23, 18).

  11. 11. Find the midpoint of the line segment joining (30, 20) and (40, 28).

    (35, 24)

    Midpoint = ((30 + 40) ÷ 2, (20 + 28) ÷ 2) = (35, 24).

  12. 12. Find the midpoint of the line segment joining (6, 16) and (8, 22).

    (7, 19)

    Midpoint = ((6 + 8) ÷ 2, (16 + 22) ÷ 2) = (7, 19).

12 questions · Seed 104735 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Midpoint of a line segment

Take your time. Show your thinking.

  1. 1. Find the midpoint of the line segment joining (2, 22) and (12, 42).

    2 · 22 · 12 · 42 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (4, 10) and (14, 14).

    4 · 10 · 14 · 14 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (18, 22) and (30, 26).

    18 · 22 · 30 · 26 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (22, 20) and (38, 26).

    22 · 20 · 38 · 26 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (14, 18) and (30, 38).

    14 · 18 · 30 · 38 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (12, 14) and (16, 32).

    12 · 14 · 16 · 32 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (8, 24) and (24, 32).

    8 · 24 · 24 · 32 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (4, 20) and (24, 30).

    4 · 20 · 24 · 30 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (28, 4) and (42, 6).

    28 · 4 · 42 · 6 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (16, 12) and (30, 24).

    16 · 12 · 30 · 24 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (30, 20) and (40, 28).

    30 · 20 · 40 · 28 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (6, 16) and (8, 22).

    6 · 16 · 8 · 22 · Midpoint of a line segment
12 questions · Seed 104735 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Midpoint of a line segment

Answers and reasoning. Review before teaching.

  1. 1. Find the midpoint of the line segment joining (2, 22) and (12, 42).

    (7, 32)

    Midpoint = ((2 + 12) ÷ 2, (22 + 42) ÷ 2) = (7, 32).

  2. 2. Find the midpoint of the line segment joining (4, 10) and (14, 14).

    (9, 12)

    Midpoint = ((4 + 14) ÷ 2, (10 + 14) ÷ 2) = (9, 12).

  3. 3. Find the midpoint of the line segment joining (18, 22) and (30, 26).

    (24, 24)

    Midpoint = ((18 + 30) ÷ 2, (22 + 26) ÷ 2) = (24, 24).

  4. 4. Find the midpoint of the line segment joining (22, 20) and (38, 26).

    (30, 23)

    Midpoint = ((22 + 38) ÷ 2, (20 + 26) ÷ 2) = (30, 23).

  5. 5. Find the midpoint of the line segment joining (14, 18) and (30, 38).

    (22, 28)

    Midpoint = ((14 + 30) ÷ 2, (18 + 38) ÷ 2) = (22, 28).

  6. 6. Find the midpoint of the line segment joining (12, 14) and (16, 32).

    (14, 23)

    Midpoint = ((12 + 16) ÷ 2, (14 + 32) ÷ 2) = (14, 23).

  7. 7. Find the midpoint of the line segment joining (8, 24) and (24, 32).

    (16, 28)

    Midpoint = ((8 + 24) ÷ 2, (24 + 32) ÷ 2) = (16, 28).

  8. 8. Find the midpoint of the line segment joining (4, 20) and (24, 30).

    (14, 25)

    Midpoint = ((4 + 24) ÷ 2, (20 + 30) ÷ 2) = (14, 25).

  9. 9. Find the midpoint of the line segment joining (28, 4) and (42, 6).

    (35, 5)

    Midpoint = ((28 + 42) ÷ 2, (4 + 6) ÷ 2) = (35, 5).

  10. 10. Find the midpoint of the line segment joining (16, 12) and (30, 24).

    (23, 18)

    Midpoint = ((16 + 30) ÷ 2, (12 + 24) ÷ 2) = (23, 18).

  11. 11. Find the midpoint of the line segment joining (30, 20) and (40, 28).

    (35, 24)

    Midpoint = ((30 + 40) ÷ 2, (20 + 28) ÷ 2) = (35, 24).

  12. 12. Find the midpoint of the line segment joining (6, 16) and (8, 22).

    (7, 19)

    Midpoint = ((6 + 8) ÷ 2, (16 + 22) ÷ 2) = (7, 19).

12 questions · Seed 104735 · Age guidance, not curriculum certification