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 49. One row has 10, 19, and ____. What is the missing number?
49 · 10 · 19 · Magic square missing values
2. In a magic square, every row adds up to 51. One row has 14, 17, and ____. What is the missing number?
51 · 14 · 17 · Magic square missing values
3. In a magic square, every row adds up to 26. One row has 10, 13, and ____. What is the missing number?
26 · 10 · 13 · Magic square missing values
4. In a magic square, every row adds up to 25. One row has 6, 9, and ____. What is the missing number?
25 · 6 · 9 · Magic square missing values
5. In a magic square, every row adds up to 44. One row has 14, 20, and ____. What is the missing number?
44 · 14 · 20 · Magic square missing values
6. In a magic square, every row adds up to 28. One row has 2, 13, and ____. What is the missing number?
28 · 2 · 13 · Magic square missing values
7. In a magic square, every row adds up to 52. One row has 17, 20, and ____. What is the missing number?
52 · 17 · 20 · Magic square missing values
8. In a magic square, every row adds up to 31. One row has 10, 13, and ____. What is the missing number?
31 · 10 · 13 · Magic square missing values
9. In a magic square, every row adds up to 17. One row has 5, 3, and ____. What is the missing number?
17 · 5 · 3 · Magic square missing values
10. In a magic square, every row adds up to 17. One row has 5, 4, and ____. What is the missing number?
17 · 5 · 4 · Magic square missing values
11. In a magic square, every row adds up to 29. One row has 11, 7, and ____. What is the missing number?
29 · 11 · 7 · Magic square missing values
12. In a magic square, every row adds up to 34. One row has 20, 11, and ____. What is the missing number?
34 · 20 · 11 · Magic square missing values

12 questions · Seed 104731 · 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 49. One row has 10, 19, and ____. What is the missing number?
20
Subtract 10 + 19 = 29 from 49: 49 − 29 = 20.
2. In a magic square, every row adds up to 51. One row has 14, 17, and ____. What is the missing number?
20
Subtract 14 + 17 = 31 from 51: 51 − 31 = 20.
3. In a magic square, every row adds up to 26. One row has 10, 13, and ____. What is the missing number?
3
Subtract 10 + 13 = 23 from 26: 26 − 23 = 3.
4. In a magic square, every row adds up to 25. One row has 6, 9, and ____. What is the missing number?
10
Subtract 6 + 9 = 15 from 25: 25 − 15 = 10.
5. In a magic square, every row adds up to 44. One row has 14, 20, and ____. What is the missing number?
10
Subtract 14 + 20 = 34 from 44: 44 − 34 = 10.
6. In a magic square, every row adds up to 28. One row has 2, 13, and ____. What is the missing number?
13
Subtract 2 + 13 = 15 from 28: 28 − 15 = 13.
7. In a magic square, every row adds up to 52. One row has 17, 20, and ____. What is the missing number?
15
Subtract 17 + 20 = 37 from 52: 52 − 37 = 15.
8. In a magic square, every row adds up to 31. One row has 10, 13, and ____. What is the missing number?
8
Subtract 10 + 13 = 23 from 31: 31 − 23 = 8.
9. In a magic square, every row adds up to 17. One row has 5, 3, and ____. What is the missing number?
9
Subtract 5 + 3 = 8 from 17: 17 − 8 = 9.
10. In a magic square, every row adds up to 17. One row has 5, 4, and ____. What is the missing number?
8
Subtract 5 + 4 = 9 from 17: 17 − 9 = 8.
11. In a magic square, every row adds up to 29. One row has 11, 7, and ____. What is the missing number?
11
Subtract 11 + 7 = 18 from 29: 29 − 18 = 11.
12. In a magic square, every row adds up to 34. One row has 20, 11, and ____. What is the missing number?
3
Subtract 20 + 11 = 31 from 34: 34 − 31 = 3.

12 questions · Seed 104731 · 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 49. One row has 10, 19, and ____. What is the missing number?
49 · 10 · 19 · Magic square missing values
2. In a magic square, every row adds up to 51. One row has 14, 17, and ____. What is the missing number?
51 · 14 · 17 · Magic square missing values
3. In a magic square, every row adds up to 26. One row has 10, 13, and ____. What is the missing number?
26 · 10 · 13 · Magic square missing values
4. In a magic square, every row adds up to 25. One row has 6, 9, and ____. What is the missing number?
25 · 6 · 9 · Magic square missing values
5. In a magic square, every row adds up to 44. One row has 14, 20, and ____. What is the missing number?
44 · 14 · 20 · Magic square missing values
6. In a magic square, every row adds up to 28. One row has 2, 13, and ____. What is the missing number?
28 · 2 · 13 · Magic square missing values
7. In a magic square, every row adds up to 52. One row has 17, 20, and ____. What is the missing number?
52 · 17 · 20 · Magic square missing values
8. In a magic square, every row adds up to 31. One row has 10, 13, and ____. What is the missing number?
31 · 10 · 13 · Magic square missing values
9. In a magic square, every row adds up to 17. One row has 5, 3, and ____. What is the missing number?
17 · 5 · 3 · Magic square missing values
10. In a magic square, every row adds up to 17. One row has 5, 4, and ____. What is the missing number?
17 · 5 · 4 · Magic square missing values
11. In a magic square, every row adds up to 29. One row has 11, 7, and ____. What is the missing number?
29 · 11 · 7 · Magic square missing values
12. In a magic square, every row adds up to 34. One row has 20, 11, and ____. What is the missing number?
34 · 20 · 11 · Magic square missing values

12 questions · Seed 104731 · 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 49. One row has 10, 19, and ____. What is the missing number?
20
Subtract 10 + 19 = 29 from 49: 49 − 29 = 20.
2. In a magic square, every row adds up to 51. One row has 14, 17, and ____. What is the missing number?
20
Subtract 14 + 17 = 31 from 51: 51 − 31 = 20.
3. In a magic square, every row adds up to 26. One row has 10, 13, and ____. What is the missing number?
3
Subtract 10 + 13 = 23 from 26: 26 − 23 = 3.
4. In a magic square, every row adds up to 25. One row has 6, 9, and ____. What is the missing number?
10
Subtract 6 + 9 = 15 from 25: 25 − 15 = 10.
5. In a magic square, every row adds up to 44. One row has 14, 20, and ____. What is the missing number?
10
Subtract 14 + 20 = 34 from 44: 44 − 34 = 10.
6. In a magic square, every row adds up to 28. One row has 2, 13, and ____. What is the missing number?
13
Subtract 2 + 13 = 15 from 28: 28 − 15 = 13.
7. In a magic square, every row adds up to 52. One row has 17, 20, and ____. What is the missing number?
15
Subtract 17 + 20 = 37 from 52: 52 − 37 = 15.
8. In a magic square, every row adds up to 31. One row has 10, 13, and ____. What is the missing number?
8
Subtract 10 + 13 = 23 from 31: 31 − 23 = 8.
9. In a magic square, every row adds up to 17. One row has 5, 3, and ____. What is the missing number?
9
Subtract 5 + 3 = 8 from 17: 17 − 8 = 9.
10. In a magic square, every row adds up to 17. One row has 5, 4, and ____. What is the missing number?
8
Subtract 5 + 4 = 9 from 17: 17 − 9 = 8.
11. In a magic square, every row adds up to 29. One row has 11, 7, and ____. What is the missing number?
11
Subtract 11 + 7 = 18 from 29: 29 − 18 = 11.
12. In a magic square, every row adds up to 34. One row has 20, 11, and ____. What is the missing number?
3
Subtract 20 + 11 = 31 from 34: 34 − 31 = 3.

12 questions · Seed 104731 · Age guidance, not curriculum certification