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 variation Try interactive challenge Browse templates

Age band:Ages 13-15 Ages 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. Find the midpoint of the line segment joining (24, 16) and (40, 18).
24 · 16 · 40 · 18 · Midpoint of a line segment
2. Find the midpoint of the line segment joining (20, 32) and (40, 40).
20 · 32 · 40 · 40 · Midpoint of a line segment
3. Find the midpoint of the line segment joining (10, 16) and (26, 30).
10 · 16 · 26 · 30 · Midpoint of a line segment
4. Find the midpoint of the line segment joining (18, 22) and (32, 38).
18 · 22 · 32 · 38 · Midpoint of a line segment
5. Find the midpoint of the line segment joining (20, 22) and (26, 28).
20 · 22 · 26 · 28 · Midpoint of a line segment
6. Find the midpoint of the line segment joining (4, 30) and (18, 48).
4 · 30 · 18 · 48 · Midpoint of a line segment
7. Find the midpoint of the line segment joining (16, 24) and (24, 34).
16 · 24 · 24 · 34 · Midpoint of a line segment
8. Find the midpoint of the line segment joining (4, 22) and (22, 36).
4 · 22 · 22 · 36 · Midpoint of a line segment
9. Find the midpoint of the line segment joining (4, 6) and (24, 22).
4 · 6 · 24 · 22 · Midpoint of a line segment
10. Find the midpoint of the line segment joining (20, 6) and (22, 20).
20 · 6 · 22 · 20 · Midpoint of a line segment
11. Find the midpoint of the line segment joining (26, 14) and (28, 28).
26 · 14 · 28 · 28 · Midpoint of a line segment
12. Find the midpoint of the line segment joining (12, 24) and (24, 26).
12 · 24 · 24 · 26 · Midpoint of a line segment

12 questions · Seed 104732 · 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. Find the midpoint of the line segment joining (24, 16) and (40, 18).
(32, 17)
Midpoint = ((24 + 40) ÷ 2, (16 + 18) ÷ 2) = (32, 17).
2. Find the midpoint of the line segment joining (20, 32) and (40, 40).
(30, 36)
Midpoint = ((20 + 40) ÷ 2, (32 + 40) ÷ 2) = (30, 36).
3. Find the midpoint of the line segment joining (10, 16) and (26, 30).
(18, 23)
Midpoint = ((10 + 26) ÷ 2, (16 + 30) ÷ 2) = (18, 23).
4. Find the midpoint of the line segment joining (18, 22) and (32, 38).
(25, 30)
Midpoint = ((18 + 32) ÷ 2, (22 + 38) ÷ 2) = (25, 30).
5. Find the midpoint of the line segment joining (20, 22) and (26, 28).
(23, 25)
Midpoint = ((20 + 26) ÷ 2, (22 + 28) ÷ 2) = (23, 25).
6. Find the midpoint of the line segment joining (4, 30) and (18, 48).
(11, 39)
Midpoint = ((4 + 18) ÷ 2, (30 + 48) ÷ 2) = (11, 39).
7. Find the midpoint of the line segment joining (16, 24) and (24, 34).
(20, 29)
Midpoint = ((16 + 24) ÷ 2, (24 + 34) ÷ 2) = (20, 29).
8. Find the midpoint of the line segment joining (4, 22) and (22, 36).
(13, 29)
Midpoint = ((4 + 22) ÷ 2, (22 + 36) ÷ 2) = (13, 29).
9. Find the midpoint of the line segment joining (4, 6) and (24, 22).
(14, 14)
Midpoint = ((4 + 24) ÷ 2, (6 + 22) ÷ 2) = (14, 14).
10. Find the midpoint of the line segment joining (20, 6) and (22, 20).
(21, 13)
Midpoint = ((20 + 22) ÷ 2, (6 + 20) ÷ 2) = (21, 13).
11. Find the midpoint of the line segment joining (26, 14) and (28, 28).
(27, 21)
Midpoint = ((26 + 28) ÷ 2, (14 + 28) ÷ 2) = (27, 21).
12. Find the midpoint of the line segment joining (12, 24) and (24, 26).
(18, 25)
Midpoint = ((12 + 24) ÷ 2, (24 + 26) ÷ 2) = (18, 25).

12 questions · Seed 104732 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Midpoint of a line segment

Take your time. Show your thinking.

1. Find the midpoint of the line segment joining (24, 16) and (40, 18).
24 · 16 · 40 · 18 · Midpoint of a line segment
2. Find the midpoint of the line segment joining (20, 32) and (40, 40).
20 · 32 · 40 · 40 · Midpoint of a line segment
3. Find the midpoint of the line segment joining (10, 16) and (26, 30).
10 · 16 · 26 · 30 · Midpoint of a line segment
4. Find the midpoint of the line segment joining (18, 22) and (32, 38).
18 · 22 · 32 · 38 · Midpoint of a line segment
5. Find the midpoint of the line segment joining (20, 22) and (26, 28).
20 · 22 · 26 · 28 · Midpoint of a line segment
6. Find the midpoint of the line segment joining (4, 30) and (18, 48).
4 · 30 · 18 · 48 · Midpoint of a line segment
7. Find the midpoint of the line segment joining (16, 24) and (24, 34).
16 · 24 · 24 · 34 · Midpoint of a line segment
8. Find the midpoint of the line segment joining (4, 22) and (22, 36).
4 · 22 · 22 · 36 · Midpoint of a line segment
9. Find the midpoint of the line segment joining (4, 6) and (24, 22).
4 · 6 · 24 · 22 · Midpoint of a line segment
10. Find the midpoint of the line segment joining (20, 6) and (22, 20).
20 · 6 · 22 · 20 · Midpoint of a line segment
11. Find the midpoint of the line segment joining (26, 14) and (28, 28).
26 · 14 · 28 · 28 · Midpoint of a line segment
12. Find the midpoint of the line segment joining (12, 24) and (24, 26).
12 · 24 · 24 · 26 · Midpoint of a line segment

12 questions · Seed 104732 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Midpoint of a line segment

Answers and reasoning. Review before teaching.

1. Find the midpoint of the line segment joining (24, 16) and (40, 18).
(32, 17)
Midpoint = ((24 + 40) ÷ 2, (16 + 18) ÷ 2) = (32, 17).
2. Find the midpoint of the line segment joining (20, 32) and (40, 40).
(30, 36)
Midpoint = ((20 + 40) ÷ 2, (32 + 40) ÷ 2) = (30, 36).
3. Find the midpoint of the line segment joining (10, 16) and (26, 30).
(18, 23)
Midpoint = ((10 + 26) ÷ 2, (16 + 30) ÷ 2) = (18, 23).
4. Find the midpoint of the line segment joining (18, 22) and (32, 38).
(25, 30)
Midpoint = ((18 + 32) ÷ 2, (22 + 38) ÷ 2) = (25, 30).
5. Find the midpoint of the line segment joining (20, 22) and (26, 28).
(23, 25)
Midpoint = ((20 + 26) ÷ 2, (22 + 28) ÷ 2) = (23, 25).
6. Find the midpoint of the line segment joining (4, 30) and (18, 48).
(11, 39)
Midpoint = ((4 + 18) ÷ 2, (30 + 48) ÷ 2) = (11, 39).
7. Find the midpoint of the line segment joining (16, 24) and (24, 34).
(20, 29)
Midpoint = ((16 + 24) ÷ 2, (24 + 34) ÷ 2) = (20, 29).
8. Find the midpoint of the line segment joining (4, 22) and (22, 36).
(13, 29)
Midpoint = ((4 + 22) ÷ 2, (22 + 36) ÷ 2) = (13, 29).
9. Find the midpoint of the line segment joining (4, 6) and (24, 22).
(14, 14)
Midpoint = ((4 + 24) ÷ 2, (6 + 22) ÷ 2) = (14, 14).
10. Find the midpoint of the line segment joining (20, 6) and (22, 20).
(21, 13)
Midpoint = ((20 + 22) ÷ 2, (6 + 20) ÷ 2) = (21, 13).
11. Find the midpoint of the line segment joining (26, 14) and (28, 28).
(27, 21)
Midpoint = ((26 + 28) ÷ 2, (14 + 28) ÷ 2) = (27, 21).
12. Find the midpoint of the line segment joining (12, 24) and (24, 26).
(18, 25)
Midpoint = ((12 + 24) ÷ 2, (24 + 26) ÷ 2) = (18, 25).

12 questions · Seed 104732 · Age guidance, not curriculum certification