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 17. One row has 3, 7, and ____. What is the missing number?
17 · 3 · 7 · Magic square missing values
2. In a magic square, every row adds up to 40. One row has 14, 19, and ____. What is the missing number?
40 · 14 · 19 · Magic square missing values
3. In a magic square, every row adds up to 41. One row has 7, 20, and ____. What is the missing number?
41 · 7 · 20 · Magic square missing values
4. In a magic square, every row adds up to 42. One row has 19, 16, and ____. What is the missing number?
42 · 19 · 16 · Magic square missing values
5. In a magic square, every row adds up to 35. One row has 13, 15, and ____. What is the missing number?
35 · 13 · 15 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 2, 10, and ____. What is the missing number?
30 · 2 · 10 · Magic square missing values
7. In a magic square, every row adds up to 49. One row has 19, 12, and ____. What is the missing number?
49 · 19 · 12 · Magic square missing values
8. In a magic square, every row adds up to 30. One row has 6, 17, and ____. What is the missing number?
30 · 6 · 17 · Magic square missing values
9. In a magic square, every row adds up to 17. One row has 7, 4, and ____. What is the missing number?
17 · 7 · 4 · Magic square missing values
10. In a magic square, every row adds up to 44. One row has 8, 20, and ____. What is the missing number?
44 · 8 · 20 · Magic square missing values
11. In a magic square, every row adds up to 15. One row has 2, 6, and ____. What is the missing number?
15 · 2 · 6 · Magic square missing values
12. In a magic square, every row adds up to 32. One row has 12, 4, and ____. What is the missing number?
32 · 12 · 4 · Magic square missing values

12 questions · Seed 104745 · 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 17. One row has 3, 7, and ____. What is the missing number?
7
Subtract 3 + 7 = 10 from 17: 17 − 10 = 7.
2. In a magic square, every row adds up to 40. One row has 14, 19, and ____. What is the missing number?
7
Subtract 14 + 19 = 33 from 40: 40 − 33 = 7.
3. In a magic square, every row adds up to 41. One row has 7, 20, and ____. What is the missing number?
14
Subtract 7 + 20 = 27 from 41: 41 − 27 = 14.
4. In a magic square, every row adds up to 42. One row has 19, 16, and ____. What is the missing number?
7
Subtract 19 + 16 = 35 from 42: 42 − 35 = 7.
5. In a magic square, every row adds up to 35. One row has 13, 15, and ____. What is the missing number?
7
Subtract 13 + 15 = 28 from 35: 35 − 28 = 7.
6. In a magic square, every row adds up to 30. One row has 2, 10, and ____. What is the missing number?
18
Subtract 2 + 10 = 12 from 30: 30 − 12 = 18.
7. In a magic square, every row adds up to 49. One row has 19, 12, and ____. What is the missing number?
18
Subtract 19 + 12 = 31 from 49: 49 − 31 = 18.
8. In a magic square, every row adds up to 30. One row has 6, 17, and ____. What is the missing number?
7
Subtract 6 + 17 = 23 from 30: 30 − 23 = 7.
9. In a magic square, every row adds up to 17. One row has 7, 4, and ____. What is the missing number?
6
Subtract 7 + 4 = 11 from 17: 17 − 11 = 6.
10. In a magic square, every row adds up to 44. One row has 8, 20, and ____. What is the missing number?
16
Subtract 8 + 20 = 28 from 44: 44 − 28 = 16.
11. In a magic square, every row adds up to 15. One row has 2, 6, and ____. What is the missing number?
7
Subtract 2 + 6 = 8 from 15: 15 − 8 = 7.
12. In a magic square, every row adds up to 32. One row has 12, 4, and ____. What is the missing number?
16
Subtract 12 + 4 = 16 from 32: 32 − 16 = 16.

12 questions · Seed 104745 · 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 17. One row has 3, 7, and ____. What is the missing number?
17 · 3 · 7 · Magic square missing values
2. In a magic square, every row adds up to 40. One row has 14, 19, and ____. What is the missing number?
40 · 14 · 19 · Magic square missing values
3. In a magic square, every row adds up to 41. One row has 7, 20, and ____. What is the missing number?
41 · 7 · 20 · Magic square missing values
4. In a magic square, every row adds up to 42. One row has 19, 16, and ____. What is the missing number?
42 · 19 · 16 · Magic square missing values
5. In a magic square, every row adds up to 35. One row has 13, 15, and ____. What is the missing number?
35 · 13 · 15 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 2, 10, and ____. What is the missing number?
30 · 2 · 10 · Magic square missing values
7. In a magic square, every row adds up to 49. One row has 19, 12, and ____. What is the missing number?
49 · 19 · 12 · Magic square missing values
8. In a magic square, every row adds up to 30. One row has 6, 17, and ____. What is the missing number?
30 · 6 · 17 · Magic square missing values
9. In a magic square, every row adds up to 17. One row has 7, 4, and ____. What is the missing number?
17 · 7 · 4 · Magic square missing values
10. In a magic square, every row adds up to 44. One row has 8, 20, and ____. What is the missing number?
44 · 8 · 20 · Magic square missing values
11. In a magic square, every row adds up to 15. One row has 2, 6, and ____. What is the missing number?
15 · 2 · 6 · Magic square missing values
12. In a magic square, every row adds up to 32. One row has 12, 4, and ____. What is the missing number?
32 · 12 · 4 · Magic square missing values

12 questions · Seed 104745 · 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 17. One row has 3, 7, and ____. What is the missing number?
7
Subtract 3 + 7 = 10 from 17: 17 − 10 = 7.
2. In a magic square, every row adds up to 40. One row has 14, 19, and ____. What is the missing number?
7
Subtract 14 + 19 = 33 from 40: 40 − 33 = 7.
3. In a magic square, every row adds up to 41. One row has 7, 20, and ____. What is the missing number?
14
Subtract 7 + 20 = 27 from 41: 41 − 27 = 14.
4. In a magic square, every row adds up to 42. One row has 19, 16, and ____. What is the missing number?
7
Subtract 19 + 16 = 35 from 42: 42 − 35 = 7.
5. In a magic square, every row adds up to 35. One row has 13, 15, and ____. What is the missing number?
7
Subtract 13 + 15 = 28 from 35: 35 − 28 = 7.
6. In a magic square, every row adds up to 30. One row has 2, 10, and ____. What is the missing number?
18
Subtract 2 + 10 = 12 from 30: 30 − 12 = 18.
7. In a magic square, every row adds up to 49. One row has 19, 12, and ____. What is the missing number?
18
Subtract 19 + 12 = 31 from 49: 49 − 31 = 18.
8. In a magic square, every row adds up to 30. One row has 6, 17, and ____. What is the missing number?
7
Subtract 6 + 17 = 23 from 30: 30 − 23 = 7.
9. In a magic square, every row adds up to 17. One row has 7, 4, and ____. What is the missing number?
6
Subtract 7 + 4 = 11 from 17: 17 − 11 = 6.
10. In a magic square, every row adds up to 44. One row has 8, 20, and ____. What is the missing number?
16
Subtract 8 + 20 = 28 from 44: 44 − 28 = 16.
11. In a magic square, every row adds up to 15. One row has 2, 6, and ____. What is the missing number?
7
Subtract 2 + 6 = 8 from 15: 15 − 8 = 7.
12. In a magic square, every row adds up to 32. One row has 12, 4, and ____. What is the missing number?
16
Subtract 12 + 4 = 16 from 32: 32 − 16 = 16.

12 questions · Seed 104745 · Age guidance, not curriculum certification