ReasoningAges 7-9

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 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 34. One row has 10, 13, and ____. What is the missing number?
34 · 10 · 13 · Magic square missing values
2. In a magic square, every row adds up to 15. One row has 5, 6, and ____. What is the missing number?
15 · 5 · 6 · Magic square missing values
3. In a magic square, every row adds up to 55. One row has 15, 20, and ____. What is the missing number?
55 · 15 · 20 · Magic square missing values
4. In a magic square, every row adds up to 20. One row has 3, 6, and ____. What is the missing number?
20 · 3 · 6 · Magic square missing values
5. In a magic square, every row adds up to 24. One row has 4, 9, and ____. What is the missing number?
24 · 4 · 9 · Magic square missing values
6. In a magic square, every row adds up to 37. One row has 16, 15, and ____. What is the missing number?
37 · 16 · 15 · Magic square missing values
7. In a magic square, every row adds up to 13. One row has 3, 6, and ____. What is the missing number?
13 · 3 · 6 · Magic square missing values
8. In a magic square, every row adds up to 43. One row has 14, 16, and ____. What is the missing number?
43 · 14 · 16 · Magic square missing values
9. In a magic square, every row adds up to 49. One row has 15, 14, and ____. What is the missing number?
49 · 15 · 14 · Magic square missing values
10. In a magic square, every row adds up to 37. One row has 20, 15, and ____. What is the missing number?
37 · 20 · 15 · Magic square missing values
11. In a magic square, every row adds up to 41. One row has 20, 15, and ____. What is the missing number?
41 · 20 · 15 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 17, 6, and ____. What is the missing number?
39 · 17 · 6 · Magic square missing values

12 questions · Seed 49 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 34. One row has 10, 13, and ____. What is the missing number?
11
Subtract 10 + 13 = 23 from 34: 34 − 23 = 11.
2. In a magic square, every row adds up to 15. One row has 5, 6, and ____. What is the missing number?
4
Subtract 5 + 6 = 11 from 15: 15 − 11 = 4.
3. In a magic square, every row adds up to 55. One row has 15, 20, and ____. What is the missing number?
20
Subtract 15 + 20 = 35 from 55: 55 − 35 = 20.
4. In a magic square, every row adds up to 20. One row has 3, 6, and ____. What is the missing number?
11
Subtract 3 + 6 = 9 from 20: 20 − 9 = 11.
5. In a magic square, every row adds up to 24. One row has 4, 9, and ____. What is the missing number?
11
Subtract 4 + 9 = 13 from 24: 24 − 13 = 11.
6. In a magic square, every row adds up to 37. One row has 16, 15, and ____. What is the missing number?
6
Subtract 16 + 15 = 31 from 37: 37 − 31 = 6.
7. In a magic square, every row adds up to 13. One row has 3, 6, and ____. What is the missing number?
4
Subtract 3 + 6 = 9 from 13: 13 − 9 = 4.
8. In a magic square, every row adds up to 43. One row has 14, 16, and ____. What is the missing number?
13
Subtract 14 + 16 = 30 from 43: 43 − 30 = 13.
9. In a magic square, every row adds up to 49. One row has 15, 14, and ____. What is the missing number?
20
Subtract 15 + 14 = 29 from 49: 49 − 29 = 20.
10. In a magic square, every row adds up to 37. One row has 20, 15, and ____. What is the missing number?
2
Subtract 20 + 15 = 35 from 37: 37 − 35 = 2.
11. In a magic square, every row adds up to 41. One row has 20, 15, and ____. What is the missing number?
6
Subtract 20 + 15 = 35 from 41: 41 − 35 = 6.
12. In a magic square, every row adds up to 39. One row has 17, 6, and ____. What is the missing number?
16
Subtract 17 + 6 = 23 from 39: 39 − 23 = 16.

12 questions · Seed 49 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 34. One row has 10, 13, and ____. What is the missing number?
34 · 10 · 13 · Magic square missing values
2. In a magic square, every row adds up to 15. One row has 5, 6, and ____. What is the missing number?
15 · 5 · 6 · Magic square missing values
3. In a magic square, every row adds up to 55. One row has 15, 20, and ____. What is the missing number?
55 · 15 · 20 · Magic square missing values
4. In a magic square, every row adds up to 20. One row has 3, 6, and ____. What is the missing number?
20 · 3 · 6 · Magic square missing values
5. In a magic square, every row adds up to 24. One row has 4, 9, and ____. What is the missing number?
24 · 4 · 9 · Magic square missing values
6. In a magic square, every row adds up to 37. One row has 16, 15, and ____. What is the missing number?
37 · 16 · 15 · Magic square missing values
7. In a magic square, every row adds up to 13. One row has 3, 6, and ____. What is the missing number?
13 · 3 · 6 · Magic square missing values
8. In a magic square, every row adds up to 43. One row has 14, 16, and ____. What is the missing number?
43 · 14 · 16 · Magic square missing values
9. In a magic square, every row adds up to 49. One row has 15, 14, and ____. What is the missing number?
49 · 15 · 14 · Magic square missing values
10. In a magic square, every row adds up to 37. One row has 20, 15, and ____. What is the missing number?
37 · 20 · 15 · Magic square missing values
11. In a magic square, every row adds up to 41. One row has 20, 15, and ____. What is the missing number?
41 · 20 · 15 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 17, 6, and ____. What is the missing number?
39 · 17 · 6 · Magic square missing values

12 questions · Seed 49 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 34. One row has 10, 13, and ____. What is the missing number?
11
Subtract 10 + 13 = 23 from 34: 34 − 23 = 11.
2. In a magic square, every row adds up to 15. One row has 5, 6, and ____. What is the missing number?
4
Subtract 5 + 6 = 11 from 15: 15 − 11 = 4.
3. In a magic square, every row adds up to 55. One row has 15, 20, and ____. What is the missing number?
20
Subtract 15 + 20 = 35 from 55: 55 − 35 = 20.
4. In a magic square, every row adds up to 20. One row has 3, 6, and ____. What is the missing number?
11
Subtract 3 + 6 = 9 from 20: 20 − 9 = 11.
5. In a magic square, every row adds up to 24. One row has 4, 9, and ____. What is the missing number?
11
Subtract 4 + 9 = 13 from 24: 24 − 13 = 11.
6. In a magic square, every row adds up to 37. One row has 16, 15, and ____. What is the missing number?
6
Subtract 16 + 15 = 31 from 37: 37 − 31 = 6.
7. In a magic square, every row adds up to 13. One row has 3, 6, and ____. What is the missing number?
4
Subtract 3 + 6 = 9 from 13: 13 − 9 = 4.
8. In a magic square, every row adds up to 43. One row has 14, 16, and ____. What is the missing number?
13
Subtract 14 + 16 = 30 from 43: 43 − 30 = 13.
9. In a magic square, every row adds up to 49. One row has 15, 14, and ____. What is the missing number?
20
Subtract 15 + 14 = 29 from 49: 49 − 29 = 20.
10. In a magic square, every row adds up to 37. One row has 20, 15, and ____. What is the missing number?
2
Subtract 20 + 15 = 35 from 37: 37 − 35 = 2.
11. In a magic square, every row adds up to 41. One row has 20, 15, and ____. What is the missing number?
6
Subtract 20 + 15 = 35 from 41: 41 − 35 = 6.
12. In a magic square, every row adds up to 39. One row has 17, 6, and ____. What is the missing number?
16
Subtract 17 + 6 = 23 from 39: 39 − 23 = 16.

12 questions · Seed 49 · Age guidance, not curriculum certification