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.

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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 25. One row has 3, 3, and ____. What is the missing number?
25 · 3 · 3 · Magic square missing values
2. In a magic square, every row adds up to 41. One row has 9, 13, and ____. What is the missing number?
41 · 9 · 13 · Magic square missing values
3. In a magic square, every row adds up to 15. One row has 3, 6, and ____. What is the missing number?
15 · 3 · 6 · Magic square missing values
4. In a magic square, every row adds up to 34. One row has 16, 10, and ____. What is the missing number?
34 · 16 · 10 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 13, 2, and ____. What is the missing number?
30 · 13 · 2 · Magic square missing values
6. In a magic square, every row adds up to 36. One row has 6, 17, and ____. What is the missing number?
36 · 6 · 17 · Magic square missing values
7. In a magic square, every row adds up to 32. One row has 4, 15, and ____. What is the missing number?
32 · 4 · 15 · Magic square missing values
8. In a magic square, every row adds up to 27. One row has 11, 11, and ____. What is the missing number?
27 · 11 · 11 · Magic square missing values
9. In a magic square, every row adds up to 33. One row has 6, 15, and ____. What is the missing number?
33 · 6 · 15 · Magic square missing values
10. In a magic square, every row adds up to 28. One row has 10, 9, and ____. What is the missing number?
28 · 10 · 9 · Magic square missing values
11. In a magic square, every row adds up to 19. One row has 4, 5, and ____. What is the missing number?
19 · 4 · 5 · Magic square missing values
12. In a magic square, every row adds up to 32. One row has 9, 20, and ____. What is the missing number?
32 · 9 · 20 · Magic square missing values

12 questions · Seed 53 · 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 25. One row has 3, 3, and ____. What is the missing number?
19
Subtract 3 + 3 = 6 from 25: 25 − 6 = 19.
2. In a magic square, every row adds up to 41. One row has 9, 13, and ____. What is the missing number?
19
Subtract 9 + 13 = 22 from 41: 41 − 22 = 19.
3. In a magic square, every row adds up to 15. One row has 3, 6, and ____. What is the missing number?
6
Subtract 3 + 6 = 9 from 15: 15 − 9 = 6.
4. In a magic square, every row adds up to 34. One row has 16, 10, and ____. What is the missing number?
8
Subtract 16 + 10 = 26 from 34: 34 − 26 = 8.
5. In a magic square, every row adds up to 30. One row has 13, 2, and ____. What is the missing number?
15
Subtract 13 + 2 = 15 from 30: 30 − 15 = 15.
6. In a magic square, every row adds up to 36. One row has 6, 17, and ____. What is the missing number?
13
Subtract 6 + 17 = 23 from 36: 36 − 23 = 13.
7. In a magic square, every row adds up to 32. One row has 4, 15, and ____. What is the missing number?
13
Subtract 4 + 15 = 19 from 32: 32 − 19 = 13.
8. In a magic square, every row adds up to 27. One row has 11, 11, and ____. What is the missing number?
5
Subtract 11 + 11 = 22 from 27: 27 − 22 = 5.
9. In a magic square, every row adds up to 33. One row has 6, 15, and ____. What is the missing number?
12
Subtract 6 + 15 = 21 from 33: 33 − 21 = 12.
10. In a magic square, every row adds up to 28. One row has 10, 9, and ____. What is the missing number?
9
Subtract 10 + 9 = 19 from 28: 28 − 19 = 9.
11. In a magic square, every row adds up to 19. One row has 4, 5, and ____. What is the missing number?
10
Subtract 4 + 5 = 9 from 19: 19 − 9 = 10.
12. In a magic square, every row adds up to 32. One row has 9, 20, and ____. What is the missing number?
3
Subtract 9 + 20 = 29 from 32: 32 − 29 = 3.

12 questions · Seed 53 · 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 25. One row has 3, 3, and ____. What is the missing number?
25 · 3 · 3 · Magic square missing values
2. In a magic square, every row adds up to 41. One row has 9, 13, and ____. What is the missing number?
41 · 9 · 13 · Magic square missing values
3. In a magic square, every row adds up to 15. One row has 3, 6, and ____. What is the missing number?
15 · 3 · 6 · Magic square missing values
4. In a magic square, every row adds up to 34. One row has 16, 10, and ____. What is the missing number?
34 · 16 · 10 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 13, 2, and ____. What is the missing number?
30 · 13 · 2 · Magic square missing values
6. In a magic square, every row adds up to 36. One row has 6, 17, and ____. What is the missing number?
36 · 6 · 17 · Magic square missing values
7. In a magic square, every row adds up to 32. One row has 4, 15, and ____. What is the missing number?
32 · 4 · 15 · Magic square missing values
8. In a magic square, every row adds up to 27. One row has 11, 11, and ____. What is the missing number?
27 · 11 · 11 · Magic square missing values
9. In a magic square, every row adds up to 33. One row has 6, 15, and ____. What is the missing number?
33 · 6 · 15 · Magic square missing values
10. In a magic square, every row adds up to 28. One row has 10, 9, and ____. What is the missing number?
28 · 10 · 9 · Magic square missing values
11. In a magic square, every row adds up to 19. One row has 4, 5, and ____. What is the missing number?
19 · 4 · 5 · Magic square missing values
12. In a magic square, every row adds up to 32. One row has 9, 20, and ____. What is the missing number?
32 · 9 · 20 · Magic square missing values

12 questions · Seed 53 · 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 25. One row has 3, 3, and ____. What is the missing number?
19
Subtract 3 + 3 = 6 from 25: 25 − 6 = 19.
2. In a magic square, every row adds up to 41. One row has 9, 13, and ____. What is the missing number?
19
Subtract 9 + 13 = 22 from 41: 41 − 22 = 19.
3. In a magic square, every row adds up to 15. One row has 3, 6, and ____. What is the missing number?
6
Subtract 3 + 6 = 9 from 15: 15 − 9 = 6.
4. In a magic square, every row adds up to 34. One row has 16, 10, and ____. What is the missing number?
8
Subtract 16 + 10 = 26 from 34: 34 − 26 = 8.
5. In a magic square, every row adds up to 30. One row has 13, 2, and ____. What is the missing number?
15
Subtract 13 + 2 = 15 from 30: 30 − 15 = 15.
6. In a magic square, every row adds up to 36. One row has 6, 17, and ____. What is the missing number?
13
Subtract 6 + 17 = 23 from 36: 36 − 23 = 13.
7. In a magic square, every row adds up to 32. One row has 4, 15, and ____. What is the missing number?
13
Subtract 4 + 15 = 19 from 32: 32 − 19 = 13.
8. In a magic square, every row adds up to 27. One row has 11, 11, and ____. What is the missing number?
5
Subtract 11 + 11 = 22 from 27: 27 − 22 = 5.
9. In a magic square, every row adds up to 33. One row has 6, 15, and ____. What is the missing number?
12
Subtract 6 + 15 = 21 from 33: 33 − 21 = 12.
10. In a magic square, every row adds up to 28. One row has 10, 9, and ____. What is the missing number?
9
Subtract 10 + 9 = 19 from 28: 28 − 19 = 9.
11. In a magic square, every row adds up to 19. One row has 4, 5, and ____. What is the missing number?
10
Subtract 4 + 5 = 9 from 19: 19 − 9 = 10.
12. In a magic square, every row adds up to 32. One row has 9, 20, and ____. What is the missing number?
3
Subtract 9 + 20 = 29 from 32: 32 − 29 = 3.

12 questions · Seed 53 · Age guidance, not curriculum certification