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 30. One row has 7, 3, and ____. What is the missing number?
30 · 7 · 3 · Magic square missing values
2. In a magic square, every row adds up to 37. One row has 20, 3, and ____. What is the missing number?
37 · 20 · 3 · Magic square missing values
3. In a magic square, every row adds up to 19. One row has 6, 7, and ____. What is the missing number?
19 · 6 · 7 · Magic square missing values
4. In a magic square, every row adds up to 13. One row has 2, 3, and ____. What is the missing number?
13 · 2 · 3 · Magic square missing values
5. In a magic square, every row adds up to 49. One row has 15, 15, and ____. What is the missing number?
49 · 15 · 15 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 15, 3, and ____. What is the missing number?
38 · 15 · 3 · Magic square missing values
7. In a magic square, every row adds up to 45. One row has 9, 18, and ____. What is the missing number?
45 · 9 · 18 · Magic square missing values
8. In a magic square, every row adds up to 45. One row has 17, 8, and ____. What is the missing number?
45 · 17 · 8 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 18, 15, and ____. What is the missing number?
36 · 18 · 15 · Magic square missing values
10. In a magic square, every row adds up to 32. One row has 15, 9, and ____. What is the missing number?
32 · 15 · 9 · Magic square missing values
11. In a magic square, every row adds up to 23. One row has 5, 8, and ____. What is the missing number?
23 · 5 · 8 · Magic square missing values
12. In a magic square, every row adds up to 31. One row has 10, 7, and ____. What is the missing number?
31 · 10 · 7 · Magic square missing values

12 questions · Seed 68 · 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 30. One row has 7, 3, and ____. What is the missing number?
20
Subtract 7 + 3 = 10 from 30: 30 − 10 = 20.
2. In a magic square, every row adds up to 37. One row has 20, 3, and ____. What is the missing number?
14
Subtract 20 + 3 = 23 from 37: 37 − 23 = 14.
3. In a magic square, every row adds up to 19. One row has 6, 7, and ____. What is the missing number?
6
Subtract 6 + 7 = 13 from 19: 19 − 13 = 6.
4. In a magic square, every row adds up to 13. One row has 2, 3, and ____. What is the missing number?
8
Subtract 2 + 3 = 5 from 13: 13 − 5 = 8.
5. In a magic square, every row adds up to 49. One row has 15, 15, and ____. What is the missing number?
19
Subtract 15 + 15 = 30 from 49: 49 − 30 = 19.
6. In a magic square, every row adds up to 38. One row has 15, 3, and ____. What is the missing number?
20
Subtract 15 + 3 = 18 from 38: 38 − 18 = 20.
7. In a magic square, every row adds up to 45. One row has 9, 18, and ____. What is the missing number?
18
Subtract 9 + 18 = 27 from 45: 45 − 27 = 18.
8. In a magic square, every row adds up to 45. One row has 17, 8, and ____. What is the missing number?
20
Subtract 17 + 8 = 25 from 45: 45 − 25 = 20.
9. In a magic square, every row adds up to 36. One row has 18, 15, and ____. What is the missing number?
3
Subtract 18 + 15 = 33 from 36: 36 − 33 = 3.
10. In a magic square, every row adds up to 32. One row has 15, 9, and ____. What is the missing number?
8
Subtract 15 + 9 = 24 from 32: 32 − 24 = 8.
11. In a magic square, every row adds up to 23. One row has 5, 8, and ____. What is the missing number?
10
Subtract 5 + 8 = 13 from 23: 23 − 13 = 10.
12. In a magic square, every row adds up to 31. One row has 10, 7, and ____. What is the missing number?
14
Subtract 10 + 7 = 17 from 31: 31 − 17 = 14.

12 questions · Seed 68 · 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 30. One row has 7, 3, and ____. What is the missing number?
30 · 7 · 3 · Magic square missing values
2. In a magic square, every row adds up to 37. One row has 20, 3, and ____. What is the missing number?
37 · 20 · 3 · Magic square missing values
3. In a magic square, every row adds up to 19. One row has 6, 7, and ____. What is the missing number?
19 · 6 · 7 · Magic square missing values
4. In a magic square, every row adds up to 13. One row has 2, 3, and ____. What is the missing number?
13 · 2 · 3 · Magic square missing values
5. In a magic square, every row adds up to 49. One row has 15, 15, and ____. What is the missing number?
49 · 15 · 15 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 15, 3, and ____. What is the missing number?
38 · 15 · 3 · Magic square missing values
7. In a magic square, every row adds up to 45. One row has 9, 18, and ____. What is the missing number?
45 · 9 · 18 · Magic square missing values
8. In a magic square, every row adds up to 45. One row has 17, 8, and ____. What is the missing number?
45 · 17 · 8 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 18, 15, and ____. What is the missing number?
36 · 18 · 15 · Magic square missing values
10. In a magic square, every row adds up to 32. One row has 15, 9, and ____. What is the missing number?
32 · 15 · 9 · Magic square missing values
11. In a magic square, every row adds up to 23. One row has 5, 8, and ____. What is the missing number?
23 · 5 · 8 · Magic square missing values
12. In a magic square, every row adds up to 31. One row has 10, 7, and ____. What is the missing number?
31 · 10 · 7 · Magic square missing values

12 questions · Seed 68 · 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 30. One row has 7, 3, and ____. What is the missing number?
20
Subtract 7 + 3 = 10 from 30: 30 − 10 = 20.
2. In a magic square, every row adds up to 37. One row has 20, 3, and ____. What is the missing number?
14
Subtract 20 + 3 = 23 from 37: 37 − 23 = 14.
3. In a magic square, every row adds up to 19. One row has 6, 7, and ____. What is the missing number?
6
Subtract 6 + 7 = 13 from 19: 19 − 13 = 6.
4. In a magic square, every row adds up to 13. One row has 2, 3, and ____. What is the missing number?
8
Subtract 2 + 3 = 5 from 13: 13 − 5 = 8.
5. In a magic square, every row adds up to 49. One row has 15, 15, and ____. What is the missing number?
19
Subtract 15 + 15 = 30 from 49: 49 − 30 = 19.
6. In a magic square, every row adds up to 38. One row has 15, 3, and ____. What is the missing number?
20
Subtract 15 + 3 = 18 from 38: 38 − 18 = 20.
7. In a magic square, every row adds up to 45. One row has 9, 18, and ____. What is the missing number?
18
Subtract 9 + 18 = 27 from 45: 45 − 27 = 18.
8. In a magic square, every row adds up to 45. One row has 17, 8, and ____. What is the missing number?
20
Subtract 17 + 8 = 25 from 45: 45 − 25 = 20.
9. In a magic square, every row adds up to 36. One row has 18, 15, and ____. What is the missing number?
3
Subtract 18 + 15 = 33 from 36: 36 − 33 = 3.
10. In a magic square, every row adds up to 32. One row has 15, 9, and ____. What is the missing number?
8
Subtract 15 + 9 = 24 from 32: 32 − 24 = 8.
11. In a magic square, every row adds up to 23. One row has 5, 8, and ____. What is the missing number?
10
Subtract 5 + 8 = 13 from 23: 23 − 13 = 10.
12. In a magic square, every row adds up to 31. One row has 10, 7, and ____. What is the missing number?
14
Subtract 10 + 7 = 17 from 31: 31 − 17 = 14.

12 questions · Seed 68 · Age guidance, not curriculum certification