ReasoningAges 10-12

Magic square missing values

Use the constant row sum of a 3 × 3 magic square to deduce the missing cell value. Review suitability for your learners before teaching.

New variation Try interactive challenge Browse templates

Age band:Ages 7-9 Ages 10-12

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

Worksheet StudioPractice pack · Ages 10-12

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 31. One row has 10, 18, and ____. What is the missing number?
31 · 10 · 18 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
24 · 6 · 12 · Magic square missing values
3. In a magic square, every row adds up to 30. One row has 5, 11, and ____. What is the missing number?
30 · 5 · 11 · Magic square missing values
4. In a magic square, every row adds up to 28. One row has 7, 6, and ____. What is the missing number?
28 · 7 · 6 · Magic square missing values
5. In a magic square, every row adds up to 39. One row has 13, 10, and ____. What is the missing number?
39 · 13 · 10 · Magic square missing values
6. In a magic square, every row adds up to 45. One row has 15, 15, and ____. What is the missing number?
45 · 15 · 15 · Magic square missing values
7. In a magic square, every row adds up to 19. One row has 8, 4, and ____. What is the missing number?
19 · 8 · 4 · Magic square missing values
8. In a magic square, every row adds up to 32. One row has 12, 10, and ____. What is the missing number?
32 · 12 · 10 · Magic square missing values
9. In a magic square, every row adds up to 28. One row has 16, 2, and ____. What is the missing number?
28 · 16 · 2 · Magic square missing values
10. In a magic square, every row adds up to 29. One row has 9, 18, and ____. What is the missing number?
29 · 9 · 18 · Magic square missing values
11. In a magic square, every row adds up to 37. One row has 5, 13, and ____. What is the missing number?
37 · 5 · 13 · Magic square missing values
12. In a magic square, every row adds up to 16. One row has 5, 9, and ____. What is the missing number?
16 · 5 · 9 · Magic square missing values

12 questions · Seed 48 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 10-12

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 31. One row has 10, 18, and ____. What is the missing number?
3
Subtract 10 + 18 = 28 from 31: 31 − 28 = 3.
2. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
6
Subtract 6 + 12 = 18 from 24: 24 − 18 = 6.
3. In a magic square, every row adds up to 30. One row has 5, 11, and ____. What is the missing number?
14
Subtract 5 + 11 = 16 from 30: 30 − 16 = 14.
4. In a magic square, every row adds up to 28. One row has 7, 6, and ____. What is the missing number?
15
Subtract 7 + 6 = 13 from 28: 28 − 13 = 15.
5. In a magic square, every row adds up to 39. One row has 13, 10, and ____. What is the missing number?
16
Subtract 13 + 10 = 23 from 39: 39 − 23 = 16.
6. In a magic square, every row adds up to 45. One row has 15, 15, and ____. What is the missing number?
15
Subtract 15 + 15 = 30 from 45: 45 − 30 = 15.
7. In a magic square, every row adds up to 19. One row has 8, 4, and ____. What is the missing number?
7
Subtract 8 + 4 = 12 from 19: 19 − 12 = 7.
8. In a magic square, every row adds up to 32. One row has 12, 10, and ____. What is the missing number?
10
Subtract 12 + 10 = 22 from 32: 32 − 22 = 10.
9. In a magic square, every row adds up to 28. One row has 16, 2, and ____. What is the missing number?
10
Subtract 16 + 2 = 18 from 28: 28 − 18 = 10.
10. In a magic square, every row adds up to 29. One row has 9, 18, and ____. What is the missing number?
2
Subtract 9 + 18 = 27 from 29: 29 − 27 = 2.
11. In a magic square, every row adds up to 37. One row has 5, 13, and ____. What is the missing number?
19
Subtract 5 + 13 = 18 from 37: 37 − 18 = 19.
12. In a magic square, every row adds up to 16. One row has 5, 9, and ____. What is the missing number?
2
Subtract 5 + 9 = 14 from 16: 16 − 14 = 2.

12 questions · Seed 48 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 10-12

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 31. One row has 10, 18, and ____. What is the missing number?
31 · 10 · 18 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
24 · 6 · 12 · Magic square missing values
3. In a magic square, every row adds up to 30. One row has 5, 11, and ____. What is the missing number?
30 · 5 · 11 · Magic square missing values
4. In a magic square, every row adds up to 28. One row has 7, 6, and ____. What is the missing number?
28 · 7 · 6 · Magic square missing values
5. In a magic square, every row adds up to 39. One row has 13, 10, and ____. What is the missing number?
39 · 13 · 10 · Magic square missing values
6. In a magic square, every row adds up to 45. One row has 15, 15, and ____. What is the missing number?
45 · 15 · 15 · Magic square missing values
7. In a magic square, every row adds up to 19. One row has 8, 4, and ____. What is the missing number?
19 · 8 · 4 · Magic square missing values
8. In a magic square, every row adds up to 32. One row has 12, 10, and ____. What is the missing number?
32 · 12 · 10 · Magic square missing values
9. In a magic square, every row adds up to 28. One row has 16, 2, and ____. What is the missing number?
28 · 16 · 2 · Magic square missing values
10. In a magic square, every row adds up to 29. One row has 9, 18, and ____. What is the missing number?
29 · 9 · 18 · Magic square missing values
11. In a magic square, every row adds up to 37. One row has 5, 13, and ____. What is the missing number?
37 · 5 · 13 · Magic square missing values
12. In a magic square, every row adds up to 16. One row has 5, 9, and ____. What is the missing number?
16 · 5 · 9 · Magic square missing values

12 questions · Seed 48 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 10-12

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 31. One row has 10, 18, and ____. What is the missing number?
3
Subtract 10 + 18 = 28 from 31: 31 − 28 = 3.
2. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
6
Subtract 6 + 12 = 18 from 24: 24 − 18 = 6.
3. In a magic square, every row adds up to 30. One row has 5, 11, and ____. What is the missing number?
14
Subtract 5 + 11 = 16 from 30: 30 − 16 = 14.
4. In a magic square, every row adds up to 28. One row has 7, 6, and ____. What is the missing number?
15
Subtract 7 + 6 = 13 from 28: 28 − 13 = 15.
5. In a magic square, every row adds up to 39. One row has 13, 10, and ____. What is the missing number?
16
Subtract 13 + 10 = 23 from 39: 39 − 23 = 16.
6. In a magic square, every row adds up to 45. One row has 15, 15, and ____. What is the missing number?
15
Subtract 15 + 15 = 30 from 45: 45 − 30 = 15.
7. In a magic square, every row adds up to 19. One row has 8, 4, and ____. What is the missing number?
7
Subtract 8 + 4 = 12 from 19: 19 − 12 = 7.
8. In a magic square, every row adds up to 32. One row has 12, 10, and ____. What is the missing number?
10
Subtract 12 + 10 = 22 from 32: 32 − 22 = 10.
9. In a magic square, every row adds up to 28. One row has 16, 2, and ____. What is the missing number?
10
Subtract 16 + 2 = 18 from 28: 28 − 18 = 10.
10. In a magic square, every row adds up to 29. One row has 9, 18, and ____. What is the missing number?
2
Subtract 9 + 18 = 27 from 29: 29 − 27 = 2.
11. In a magic square, every row adds up to 37. One row has 5, 13, and ____. What is the missing number?
19
Subtract 5 + 13 = 18 from 37: 37 − 18 = 19.
12. In a magic square, every row adds up to 16. One row has 5, 9, and ____. What is the missing number?
2
Subtract 5 + 9 = 14 from 16: 16 − 14 = 2.

12 questions · Seed 48 · Age guidance, not curriculum certification