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 35. One row has 16, 17, and ____. What is the missing number?
35 · 16 · 17 · Magic square missing values
2. In a magic square, every row adds up to 21. One row has 5, 3, and ____. What is the missing number?
21 · 5 · 3 · Magic square missing values
3. In a magic square, every row adds up to 31. One row has 2, 14, and ____. What is the missing number?
31 · 2 · 14 · Magic square missing values
4. In a magic square, every row adds up to 14. One row has 3, 6, and ____. What is the missing number?
14 · 3 · 6 · Magic square missing values
5. In a magic square, every row adds up to 15. One row has 2, 11, and ____. What is the missing number?
15 · 2 · 11 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 13, 14, and ____. What is the missing number?
30 · 13 · 14 · Magic square missing values
7. In a magic square, every row adds up to 49. One row has 20, 12, and ____. What is the missing number?
49 · 20 · 12 · Magic square missing values
8. In a magic square, every row adds up to 34. One row has 13, 8, and ____. What is the missing number?
34 · 13 · 8 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 3, 13, and ____. What is the missing number?
36 · 3 · 13 · Magic square missing values
10. In a magic square, every row adds up to 9. One row has 4, 3, and ____. What is the missing number?
9 · 4 · 3 · Magic square missing values
11. In a magic square, every row adds up to 31. One row has 5, 14, and ____. What is the missing number?
31 · 5 · 14 · Magic square missing values
12. In a magic square, every row adds up to 40. One row has 9, 14, and ____. What is the missing number?
40 · 9 · 14 · Magic square missing values

12 questions · Seed 78 · 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 35. One row has 16, 17, and ____. What is the missing number?
2
Subtract 16 + 17 = 33 from 35: 35 − 33 = 2.
2. In a magic square, every row adds up to 21. One row has 5, 3, and ____. What is the missing number?
13
Subtract 5 + 3 = 8 from 21: 21 − 8 = 13.
3. In a magic square, every row adds up to 31. One row has 2, 14, and ____. What is the missing number?
15
Subtract 2 + 14 = 16 from 31: 31 − 16 = 15.
4. In a magic square, every row adds up to 14. One row has 3, 6, and ____. What is the missing number?
5
Subtract 3 + 6 = 9 from 14: 14 − 9 = 5.
5. In a magic square, every row adds up to 15. One row has 2, 11, and ____. What is the missing number?
2
Subtract 2 + 11 = 13 from 15: 15 − 13 = 2.
6. In a magic square, every row adds up to 30. One row has 13, 14, and ____. What is the missing number?
3
Subtract 13 + 14 = 27 from 30: 30 − 27 = 3.
7. In a magic square, every row adds up to 49. One row has 20, 12, and ____. What is the missing number?
17
Subtract 20 + 12 = 32 from 49: 49 − 32 = 17.
8. In a magic square, every row adds up to 34. One row has 13, 8, and ____. What is the missing number?
13
Subtract 13 + 8 = 21 from 34: 34 − 21 = 13.
9. In a magic square, every row adds up to 36. One row has 3, 13, and ____. What is the missing number?
20
Subtract 3 + 13 = 16 from 36: 36 − 16 = 20.
10. In a magic square, every row adds up to 9. One row has 4, 3, and ____. What is the missing number?
2
Subtract 4 + 3 = 7 from 9: 9 − 7 = 2.
11. In a magic square, every row adds up to 31. One row has 5, 14, and ____. What is the missing number?
12
Subtract 5 + 14 = 19 from 31: 31 − 19 = 12.
12. In a magic square, every row adds up to 40. One row has 9, 14, and ____. What is the missing number?
17
Subtract 9 + 14 = 23 from 40: 40 − 23 = 17.

12 questions · Seed 78 · 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 35. One row has 16, 17, and ____. What is the missing number?
35 · 16 · 17 · Magic square missing values
2. In a magic square, every row adds up to 21. One row has 5, 3, and ____. What is the missing number?
21 · 5 · 3 · Magic square missing values
3. In a magic square, every row adds up to 31. One row has 2, 14, and ____. What is the missing number?
31 · 2 · 14 · Magic square missing values
4. In a magic square, every row adds up to 14. One row has 3, 6, and ____. What is the missing number?
14 · 3 · 6 · Magic square missing values
5. In a magic square, every row adds up to 15. One row has 2, 11, and ____. What is the missing number?
15 · 2 · 11 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 13, 14, and ____. What is the missing number?
30 · 13 · 14 · Magic square missing values
7. In a magic square, every row adds up to 49. One row has 20, 12, and ____. What is the missing number?
49 · 20 · 12 · Magic square missing values
8. In a magic square, every row adds up to 34. One row has 13, 8, and ____. What is the missing number?
34 · 13 · 8 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 3, 13, and ____. What is the missing number?
36 · 3 · 13 · Magic square missing values
10. In a magic square, every row adds up to 9. One row has 4, 3, and ____. What is the missing number?
9 · 4 · 3 · Magic square missing values
11. In a magic square, every row adds up to 31. One row has 5, 14, and ____. What is the missing number?
31 · 5 · 14 · Magic square missing values
12. In a magic square, every row adds up to 40. One row has 9, 14, and ____. What is the missing number?
40 · 9 · 14 · Magic square missing values

12 questions · Seed 78 · 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 35. One row has 16, 17, and ____. What is the missing number?
2
Subtract 16 + 17 = 33 from 35: 35 − 33 = 2.
2. In a magic square, every row adds up to 21. One row has 5, 3, and ____. What is the missing number?
13
Subtract 5 + 3 = 8 from 21: 21 − 8 = 13.
3. In a magic square, every row adds up to 31. One row has 2, 14, and ____. What is the missing number?
15
Subtract 2 + 14 = 16 from 31: 31 − 16 = 15.
4. In a magic square, every row adds up to 14. One row has 3, 6, and ____. What is the missing number?
5
Subtract 3 + 6 = 9 from 14: 14 − 9 = 5.
5. In a magic square, every row adds up to 15. One row has 2, 11, and ____. What is the missing number?
2
Subtract 2 + 11 = 13 from 15: 15 − 13 = 2.
6. In a magic square, every row adds up to 30. One row has 13, 14, and ____. What is the missing number?
3
Subtract 13 + 14 = 27 from 30: 30 − 27 = 3.
7. In a magic square, every row adds up to 49. One row has 20, 12, and ____. What is the missing number?
17
Subtract 20 + 12 = 32 from 49: 49 − 32 = 17.
8. In a magic square, every row adds up to 34. One row has 13, 8, and ____. What is the missing number?
13
Subtract 13 + 8 = 21 from 34: 34 − 21 = 13.
9. In a magic square, every row adds up to 36. One row has 3, 13, and ____. What is the missing number?
20
Subtract 3 + 13 = 16 from 36: 36 − 16 = 20.
10. In a magic square, every row adds up to 9. One row has 4, 3, and ____. What is the missing number?
2
Subtract 4 + 3 = 7 from 9: 9 − 7 = 2.
11. In a magic square, every row adds up to 31. One row has 5, 14, and ____. What is the missing number?
12
Subtract 5 + 14 = 19 from 31: 31 − 19 = 12.
12. In a magic square, every row adds up to 40. One row has 9, 14, and ____. What is the missing number?
17
Subtract 9 + 14 = 23 from 40: 40 − 23 = 17.

12 questions · Seed 78 · Age guidance, not curriculum certification