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 13. One row has 3, 7, and ____. What is the missing number?
13 · 3 · 7 · Magic square missing values
2. In a magic square, every row adds up to 31. One row has 7, 14, and ____. What is the missing number?
31 · 7 · 14 · Magic square missing values
3. In a magic square, every row adds up to 42. One row has 12, 19, and ____. What is the missing number?
42 · 12 · 19 · Magic square missing values
4. In a magic square, every row adds up to 33. One row has 9, 10, and ____. What is the missing number?
33 · 9 · 10 · Magic square missing values
5. In a magic square, every row adds up to 12. One row has 3, 7, and ____. What is the missing number?
12 · 3 · 7 · Magic square missing values
6. In a magic square, every row adds up to 25. One row has 17, 3, and ____. What is the missing number?
25 · 17 · 3 · Magic square missing values
7. In a magic square, every row adds up to 47. One row has 9, 18, and ____. What is the missing number?
47 · 9 · 18 · Magic square missing values
8. In a magic square, every row adds up to 17. One row has 2, 5, and ____. What is the missing number?
17 · 2 · 5 · Magic square missing values
9. In a magic square, every row adds up to 39. One row has 13, 12, and ____. What is the missing number?
39 · 13 · 12 · Magic square missing values
10. In a magic square, every row adds up to 10. One row has 2, 4, and ____. What is the missing number?
10 · 2 · 4 · Magic square missing values
11. In a magic square, every row adds up to 15. One row has 3, 10, and ____. What is the missing number?
15 · 3 · 10 · Magic square missing values
12. In a magic square, every row adds up to 30. One row has 3, 14, and ____. What is the missing number?
30 · 3 · 14 · Magic square missing values

12 questions · Seed 89 · 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 13. One row has 3, 7, and ____. What is the missing number?
3
Subtract 3 + 7 = 10 from 13: 13 − 10 = 3.
2. In a magic square, every row adds up to 31. One row has 7, 14, and ____. What is the missing number?
10
Subtract 7 + 14 = 21 from 31: 31 − 21 = 10.
3. In a magic square, every row adds up to 42. One row has 12, 19, and ____. What is the missing number?
11
Subtract 12 + 19 = 31 from 42: 42 − 31 = 11.
4. In a magic square, every row adds up to 33. One row has 9, 10, and ____. What is the missing number?
14
Subtract 9 + 10 = 19 from 33: 33 − 19 = 14.
5. In a magic square, every row adds up to 12. One row has 3, 7, and ____. What is the missing number?
2
Subtract 3 + 7 = 10 from 12: 12 − 10 = 2.
6. In a magic square, every row adds up to 25. One row has 17, 3, and ____. What is the missing number?
5
Subtract 17 + 3 = 20 from 25: 25 − 20 = 5.
7. In a magic square, every row adds up to 47. One row has 9, 18, and ____. What is the missing number?
20
Subtract 9 + 18 = 27 from 47: 47 − 27 = 20.
8. In a magic square, every row adds up to 17. One row has 2, 5, and ____. What is the missing number?
10
Subtract 2 + 5 = 7 from 17: 17 − 7 = 10.
9. In a magic square, every row adds up to 39. One row has 13, 12, and ____. What is the missing number?
14
Subtract 13 + 12 = 25 from 39: 39 − 25 = 14.
10. In a magic square, every row adds up to 10. One row has 2, 4, and ____. What is the missing number?
4
Subtract 2 + 4 = 6 from 10: 10 − 6 = 4.
11. In a magic square, every row adds up to 15. One row has 3, 10, and ____. What is the missing number?
2
Subtract 3 + 10 = 13 from 15: 15 − 13 = 2.
12. In a magic square, every row adds up to 30. One row has 3, 14, and ____. What is the missing number?
13
Subtract 3 + 14 = 17 from 30: 30 − 17 = 13.

12 questions · Seed 89 · 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 13. One row has 3, 7, and ____. What is the missing number?
13 · 3 · 7 · Magic square missing values
2. In a magic square, every row adds up to 31. One row has 7, 14, and ____. What is the missing number?
31 · 7 · 14 · Magic square missing values
3. In a magic square, every row adds up to 42. One row has 12, 19, and ____. What is the missing number?
42 · 12 · 19 · Magic square missing values
4. In a magic square, every row adds up to 33. One row has 9, 10, and ____. What is the missing number?
33 · 9 · 10 · Magic square missing values
5. In a magic square, every row adds up to 12. One row has 3, 7, and ____. What is the missing number?
12 · 3 · 7 · Magic square missing values
6. In a magic square, every row adds up to 25. One row has 17, 3, and ____. What is the missing number?
25 · 17 · 3 · Magic square missing values
7. In a magic square, every row adds up to 47. One row has 9, 18, and ____. What is the missing number?
47 · 9 · 18 · Magic square missing values
8. In a magic square, every row adds up to 17. One row has 2, 5, and ____. What is the missing number?
17 · 2 · 5 · Magic square missing values
9. In a magic square, every row adds up to 39. One row has 13, 12, and ____. What is the missing number?
39 · 13 · 12 · Magic square missing values
10. In a magic square, every row adds up to 10. One row has 2, 4, and ____. What is the missing number?
10 · 2 · 4 · Magic square missing values
11. In a magic square, every row adds up to 15. One row has 3, 10, and ____. What is the missing number?
15 · 3 · 10 · Magic square missing values
12. In a magic square, every row adds up to 30. One row has 3, 14, and ____. What is the missing number?
30 · 3 · 14 · Magic square missing values

12 questions · Seed 89 · 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 13. One row has 3, 7, and ____. What is the missing number?
3
Subtract 3 + 7 = 10 from 13: 13 − 10 = 3.
2. In a magic square, every row adds up to 31. One row has 7, 14, and ____. What is the missing number?
10
Subtract 7 + 14 = 21 from 31: 31 − 21 = 10.
3. In a magic square, every row adds up to 42. One row has 12, 19, and ____. What is the missing number?
11
Subtract 12 + 19 = 31 from 42: 42 − 31 = 11.
4. In a magic square, every row adds up to 33. One row has 9, 10, and ____. What is the missing number?
14
Subtract 9 + 10 = 19 from 33: 33 − 19 = 14.
5. In a magic square, every row adds up to 12. One row has 3, 7, and ____. What is the missing number?
2
Subtract 3 + 7 = 10 from 12: 12 − 10 = 2.
6. In a magic square, every row adds up to 25. One row has 17, 3, and ____. What is the missing number?
5
Subtract 17 + 3 = 20 from 25: 25 − 20 = 5.
7. In a magic square, every row adds up to 47. One row has 9, 18, and ____. What is the missing number?
20
Subtract 9 + 18 = 27 from 47: 47 − 27 = 20.
8. In a magic square, every row adds up to 17. One row has 2, 5, and ____. What is the missing number?
10
Subtract 2 + 5 = 7 from 17: 17 − 7 = 10.
9. In a magic square, every row adds up to 39. One row has 13, 12, and ____. What is the missing number?
14
Subtract 13 + 12 = 25 from 39: 39 − 25 = 14.
10. In a magic square, every row adds up to 10. One row has 2, 4, and ____. What is the missing number?
4
Subtract 2 + 4 = 6 from 10: 10 − 6 = 4.
11. In a magic square, every row adds up to 15. One row has 3, 10, and ____. What is the missing number?
2
Subtract 3 + 10 = 13 from 15: 15 − 13 = 2.
12. In a magic square, every row adds up to 30. One row has 3, 14, and ____. What is the missing number?
13
Subtract 3 + 14 = 17 from 30: 30 − 17 = 13.

12 questions · Seed 89 · Age guidance, not curriculum certification