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 18. One row has 10, 6, and ____. What is the missing number?
18 · 10 · 6 · Magic square missing values
2. In a magic square, every row adds up to 29. One row has 17, 7, and ____. What is the missing number?
29 · 17 · 7 · Magic square missing values
3. In a magic square, every row adds up to 31. One row has 14, 3, and ____. What is the missing number?
31 · 14 · 3 · Magic square missing values
4. In a magic square, every row adds up to 41. One row has 16, 16, and ____. What is the missing number?
41 · 16 · 16 · Magic square missing values
5. In a magic square, every row adds up to 25. One row has 7, 5, and ____. What is the missing number?
25 · 7 · 5 · Magic square missing values
6. In a magic square, every row adds up to 45. One row has 12, 15, and ____. What is the missing number?
45 · 12 · 15 · Magic square missing values
7. In a magic square, every row adds up to 37. One row has 17, 5, and ____. What is the missing number?
37 · 17 · 5 · Magic square missing values
8. In a magic square, every row adds up to 38. One row has 15, 14, and ____. What is the missing number?
38 · 15 · 14 · Magic square missing values
9. In a magic square, every row adds up to 37. One row has 10, 10, and ____. What is the missing number?
37 · 10 · 10 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 10, 16, and ____. What is the missing number?
34 · 10 · 16 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 16, 5, and ____. What is the missing number?
30 · 16 · 5 · Magic square missing values
12. In a magic square, every row adds up to 50. One row has 11, 19, and ____. What is the missing number?
50 · 11 · 19 · Magic square missing values

12 questions · Seed 104729 · 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 18. One row has 10, 6, and ____. What is the missing number?
2
Subtract 10 + 6 = 16 from 18: 18 − 16 = 2.
2. In a magic square, every row adds up to 29. One row has 17, 7, and ____. What is the missing number?
5
Subtract 17 + 7 = 24 from 29: 29 − 24 = 5.
3. In a magic square, every row adds up to 31. One row has 14, 3, and ____. What is the missing number?
14
Subtract 14 + 3 = 17 from 31: 31 − 17 = 14.
4. In a magic square, every row adds up to 41. One row has 16, 16, and ____. What is the missing number?
9
Subtract 16 + 16 = 32 from 41: 41 − 32 = 9.
5. In a magic square, every row adds up to 25. One row has 7, 5, and ____. What is the missing number?
13
Subtract 7 + 5 = 12 from 25: 25 − 12 = 13.
6. In a magic square, every row adds up to 45. One row has 12, 15, and ____. What is the missing number?
18
Subtract 12 + 15 = 27 from 45: 45 − 27 = 18.
7. In a magic square, every row adds up to 37. One row has 17, 5, and ____. What is the missing number?
15
Subtract 17 + 5 = 22 from 37: 37 − 22 = 15.
8. In a magic square, every row adds up to 38. One row has 15, 14, and ____. What is the missing number?
9
Subtract 15 + 14 = 29 from 38: 38 − 29 = 9.
9. In a magic square, every row adds up to 37. One row has 10, 10, and ____. What is the missing number?
17
Subtract 10 + 10 = 20 from 37: 37 − 20 = 17.
10. In a magic square, every row adds up to 34. One row has 10, 16, and ____. What is the missing number?
8
Subtract 10 + 16 = 26 from 34: 34 − 26 = 8.
11. In a magic square, every row adds up to 30. One row has 16, 5, and ____. What is the missing number?
9
Subtract 16 + 5 = 21 from 30: 30 − 21 = 9.
12. In a magic square, every row adds up to 50. One row has 11, 19, and ____. What is the missing number?
20
Subtract 11 + 19 = 30 from 50: 50 − 30 = 20.

12 questions · Seed 104729 · 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 18. One row has 10, 6, and ____. What is the missing number?
18 · 10 · 6 · Magic square missing values
2. In a magic square, every row adds up to 29. One row has 17, 7, and ____. What is the missing number?
29 · 17 · 7 · Magic square missing values
3. In a magic square, every row adds up to 31. One row has 14, 3, and ____. What is the missing number?
31 · 14 · 3 · Magic square missing values
4. In a magic square, every row adds up to 41. One row has 16, 16, and ____. What is the missing number?
41 · 16 · 16 · Magic square missing values
5. In a magic square, every row adds up to 25. One row has 7, 5, and ____. What is the missing number?
25 · 7 · 5 · Magic square missing values
6. In a magic square, every row adds up to 45. One row has 12, 15, and ____. What is the missing number?
45 · 12 · 15 · Magic square missing values
7. In a magic square, every row adds up to 37. One row has 17, 5, and ____. What is the missing number?
37 · 17 · 5 · Magic square missing values
8. In a magic square, every row adds up to 38. One row has 15, 14, and ____. What is the missing number?
38 · 15 · 14 · Magic square missing values
9. In a magic square, every row adds up to 37. One row has 10, 10, and ____. What is the missing number?
37 · 10 · 10 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 10, 16, and ____. What is the missing number?
34 · 10 · 16 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 16, 5, and ____. What is the missing number?
30 · 16 · 5 · Magic square missing values
12. In a magic square, every row adds up to 50. One row has 11, 19, and ____. What is the missing number?
50 · 11 · 19 · Magic square missing values

12 questions · Seed 104729 · 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 18. One row has 10, 6, and ____. What is the missing number?
2
Subtract 10 + 6 = 16 from 18: 18 − 16 = 2.
2. In a magic square, every row adds up to 29. One row has 17, 7, and ____. What is the missing number?
5
Subtract 17 + 7 = 24 from 29: 29 − 24 = 5.
3. In a magic square, every row adds up to 31. One row has 14, 3, and ____. What is the missing number?
14
Subtract 14 + 3 = 17 from 31: 31 − 17 = 14.
4. In a magic square, every row adds up to 41. One row has 16, 16, and ____. What is the missing number?
9
Subtract 16 + 16 = 32 from 41: 41 − 32 = 9.
5. In a magic square, every row adds up to 25. One row has 7, 5, and ____. What is the missing number?
13
Subtract 7 + 5 = 12 from 25: 25 − 12 = 13.
6. In a magic square, every row adds up to 45. One row has 12, 15, and ____. What is the missing number?
18
Subtract 12 + 15 = 27 from 45: 45 − 27 = 18.
7. In a magic square, every row adds up to 37. One row has 17, 5, and ____. What is the missing number?
15
Subtract 17 + 5 = 22 from 37: 37 − 22 = 15.
8. In a magic square, every row adds up to 38. One row has 15, 14, and ____. What is the missing number?
9
Subtract 15 + 14 = 29 from 38: 38 − 29 = 9.
9. In a magic square, every row adds up to 37. One row has 10, 10, and ____. What is the missing number?
17
Subtract 10 + 10 = 20 from 37: 37 − 20 = 17.
10. In a magic square, every row adds up to 34. One row has 10, 16, and ____. What is the missing number?
8
Subtract 10 + 16 = 26 from 34: 34 − 26 = 8.
11. In a magic square, every row adds up to 30. One row has 16, 5, and ____. What is the missing number?
9
Subtract 16 + 5 = 21 from 30: 30 − 21 = 9.
12. In a magic square, every row adds up to 50. One row has 11, 19, and ____. What is the missing number?
20
Subtract 11 + 19 = 30 from 50: 50 − 30 = 20.

12 questions · Seed 104729 · Age guidance, not curriculum certification