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 39. One row has 11, 15, and ____. What is the missing number?
39 · 11 · 15 · Magic square missing values
2. In a magic square, every row adds up to 31. One row has 2, 13, and ____. What is the missing number?
31 · 2 · 13 · Magic square missing values
3. In a magic square, every row adds up to 40. One row has 16, 20, and ____. What is the missing number?
40 · 16 · 20 · Magic square missing values
4. In a magic square, every row adds up to 36. One row has 11, 16, and ____. What is the missing number?
36 · 11 · 16 · Magic square missing values
5. In a magic square, every row adds up to 49. One row has 18, 13, and ____. What is the missing number?
49 · 18 · 13 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 3, 8, and ____. What is the missing number?
30 · 3 · 8 · Magic square missing values
7. In a magic square, every row adds up to 38. One row has 16, 19, and ____. What is the missing number?
38 · 16 · 19 · Magic square missing values
8. In a magic square, every row adds up to 18. One row has 7, 8, and ____. What is the missing number?
18 · 7 · 8 · Magic square missing values
9. In a magic square, every row adds up to 22. One row has 4, 2, and ____. What is the missing number?
22 · 4 · 2 · Magic square missing values
10. 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
11. In a magic square, every row adds up to 36. One row has 4, 12, and ____. What is the missing number?
36 · 4 · 12 · Magic square missing values
12. In a magic square, every row adds up to 29. One row has 15, 11, and ____. What is the missing number?
29 · 15 · 11 · Magic square missing values

12 questions · Seed 50 · 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 39. One row has 11, 15, and ____. What is the missing number?
13
Subtract 11 + 15 = 26 from 39: 39 − 26 = 13.
2. In a magic square, every row adds up to 31. One row has 2, 13, and ____. What is the missing number?
16
Subtract 2 + 13 = 15 from 31: 31 − 15 = 16.
3. In a magic square, every row adds up to 40. One row has 16, 20, and ____. What is the missing number?
4
Subtract 16 + 20 = 36 from 40: 40 − 36 = 4.
4. In a magic square, every row adds up to 36. One row has 11, 16, and ____. What is the missing number?
9
Subtract 11 + 16 = 27 from 36: 36 − 27 = 9.
5. In a magic square, every row adds up to 49. One row has 18, 13, and ____. What is the missing number?
18
Subtract 18 + 13 = 31 from 49: 49 − 31 = 18.
6. In a magic square, every row adds up to 30. One row has 3, 8, and ____. What is the missing number?
19
Subtract 3 + 8 = 11 from 30: 30 − 11 = 19.
7. In a magic square, every row adds up to 38. One row has 16, 19, and ____. What is the missing number?
3
Subtract 16 + 19 = 35 from 38: 38 − 35 = 3.
8. In a magic square, every row adds up to 18. One row has 7, 8, and ____. What is the missing number?
3
Subtract 7 + 8 = 15 from 18: 18 − 15 = 3.
9. In a magic square, every row adds up to 22. One row has 4, 2, and ____. What is the missing number?
16
Subtract 4 + 2 = 6 from 22: 22 − 6 = 16.
10. 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.
11. In a magic square, every row adds up to 36. One row has 4, 12, and ____. What is the missing number?
20
Subtract 4 + 12 = 16 from 36: 36 − 16 = 20.
12. In a magic square, every row adds up to 29. One row has 15, 11, and ____. What is the missing number?
3
Subtract 15 + 11 = 26 from 29: 29 − 26 = 3.

12 questions · Seed 50 · 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 39. One row has 11, 15, and ____. What is the missing number?
39 · 11 · 15 · Magic square missing values
2. In a magic square, every row adds up to 31. One row has 2, 13, and ____. What is the missing number?
31 · 2 · 13 · Magic square missing values
3. In a magic square, every row adds up to 40. One row has 16, 20, and ____. What is the missing number?
40 · 16 · 20 · Magic square missing values
4. In a magic square, every row adds up to 36. One row has 11, 16, and ____. What is the missing number?
36 · 11 · 16 · Magic square missing values
5. In a magic square, every row adds up to 49. One row has 18, 13, and ____. What is the missing number?
49 · 18 · 13 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 3, 8, and ____. What is the missing number?
30 · 3 · 8 · Magic square missing values
7. In a magic square, every row adds up to 38. One row has 16, 19, and ____. What is the missing number?
38 · 16 · 19 · Magic square missing values
8. In a magic square, every row adds up to 18. One row has 7, 8, and ____. What is the missing number?
18 · 7 · 8 · Magic square missing values
9. In a magic square, every row adds up to 22. One row has 4, 2, and ____. What is the missing number?
22 · 4 · 2 · Magic square missing values
10. 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
11. In a magic square, every row adds up to 36. One row has 4, 12, and ____. What is the missing number?
36 · 4 · 12 · Magic square missing values
12. In a magic square, every row adds up to 29. One row has 15, 11, and ____. What is the missing number?
29 · 15 · 11 · Magic square missing values

12 questions · Seed 50 · 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 39. One row has 11, 15, and ____. What is the missing number?
13
Subtract 11 + 15 = 26 from 39: 39 − 26 = 13.
2. In a magic square, every row adds up to 31. One row has 2, 13, and ____. What is the missing number?
16
Subtract 2 + 13 = 15 from 31: 31 − 15 = 16.
3. In a magic square, every row adds up to 40. One row has 16, 20, and ____. What is the missing number?
4
Subtract 16 + 20 = 36 from 40: 40 − 36 = 4.
4. In a magic square, every row adds up to 36. One row has 11, 16, and ____. What is the missing number?
9
Subtract 11 + 16 = 27 from 36: 36 − 27 = 9.
5. In a magic square, every row adds up to 49. One row has 18, 13, and ____. What is the missing number?
18
Subtract 18 + 13 = 31 from 49: 49 − 31 = 18.
6. In a magic square, every row adds up to 30. One row has 3, 8, and ____. What is the missing number?
19
Subtract 3 + 8 = 11 from 30: 30 − 11 = 19.
7. In a magic square, every row adds up to 38. One row has 16, 19, and ____. What is the missing number?
3
Subtract 16 + 19 = 35 from 38: 38 − 35 = 3.
8. In a magic square, every row adds up to 18. One row has 7, 8, and ____. What is the missing number?
3
Subtract 7 + 8 = 15 from 18: 18 − 15 = 3.
9. In a magic square, every row adds up to 22. One row has 4, 2, and ____. What is the missing number?
16
Subtract 4 + 2 = 6 from 22: 22 − 6 = 16.
10. 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.
11. In a magic square, every row adds up to 36. One row has 4, 12, and ____. What is the missing number?
20
Subtract 4 + 12 = 16 from 36: 36 − 16 = 20.
12. In a magic square, every row adds up to 29. One row has 15, 11, and ____. What is the missing number?
3
Subtract 15 + 11 = 26 from 29: 29 − 26 = 3.

12 questions · Seed 50 · Age guidance, not curriculum certification