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 31. One row has 8, 5, and ____. What is the missing number?
31 · 8 · 5 · Magic square missing values
2. In a magic square, every row adds up to 46. One row has 15, 14, and ____. What is the missing number?
46 · 15 · 14 · Magic square missing values
3. In a magic square, every row adds up to 37. One row has 14, 19, and ____. What is the missing number?
37 · 14 · 19 · Magic square missing values
4. In a magic square, every row adds up to 44. One row has 14, 19, and ____. What is the missing number?
44 · 14 · 19 · Magic square missing values
5. In a magic square, every row adds up to 38. One row has 17, 17, and ____. What is the missing number?
38 · 17 · 17 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 15, 10, and ____. What is the missing number?
38 · 15 · 10 · Magic square missing values
7. In a magic square, every row adds up to 40. One row has 15, 9, and ____. What is the missing number?
40 · 15 · 9 · Magic square missing values
8. In a magic square, every row adds up to 31. One row has 17, 7, and ____. What is the missing number?
31 · 17 · 7 · Magic square missing values
9. In a magic square, every row adds up to 43. One row has 5, 18, and ____. What is the missing number?
43 · 5 · 18 · Magic square missing values
10. In a magic square, every row adds up to 35. One row has 18, 2, and ____. What is the missing number?
35 · 18 · 2 · Magic square missing values
11. In a magic square, every row adds up to 14. One row has 7, 5, and ____. What is the missing number?
14 · 7 · 5 · Magic square missing values
12. In a magic square, every row adds up to 25. One row has 4, 10, and ____. What is the missing number?
25 · 4 · 10 · Magic square missing values

12 questions · Seed 81 · 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 31. One row has 8, 5, and ____. What is the missing number?
18
Subtract 8 + 5 = 13 from 31: 31 − 13 = 18.
2. In a magic square, every row adds up to 46. One row has 15, 14, and ____. What is the missing number?
17
Subtract 15 + 14 = 29 from 46: 46 − 29 = 17.
3. In a magic square, every row adds up to 37. One row has 14, 19, and ____. What is the missing number?
4
Subtract 14 + 19 = 33 from 37: 37 − 33 = 4.
4. In a magic square, every row adds up to 44. One row has 14, 19, and ____. What is the missing number?
11
Subtract 14 + 19 = 33 from 44: 44 − 33 = 11.
5. In a magic square, every row adds up to 38. One row has 17, 17, and ____. What is the missing number?
4
Subtract 17 + 17 = 34 from 38: 38 − 34 = 4.
6. In a magic square, every row adds up to 38. One row has 15, 10, and ____. What is the missing number?
13
Subtract 15 + 10 = 25 from 38: 38 − 25 = 13.
7. In a magic square, every row adds up to 40. One row has 15, 9, and ____. What is the missing number?
16
Subtract 15 + 9 = 24 from 40: 40 − 24 = 16.
8. In a magic square, every row adds up to 31. One row has 17, 7, and ____. What is the missing number?
7
Subtract 17 + 7 = 24 from 31: 31 − 24 = 7.
9. In a magic square, every row adds up to 43. One row has 5, 18, and ____. What is the missing number?
20
Subtract 5 + 18 = 23 from 43: 43 − 23 = 20.
10. In a magic square, every row adds up to 35. One row has 18, 2, and ____. What is the missing number?
15
Subtract 18 + 2 = 20 from 35: 35 − 20 = 15.
11. In a magic square, every row adds up to 14. One row has 7, 5, and ____. What is the missing number?
2
Subtract 7 + 5 = 12 from 14: 14 − 12 = 2.
12. In a magic square, every row adds up to 25. One row has 4, 10, and ____. What is the missing number?
11
Subtract 4 + 10 = 14 from 25: 25 − 14 = 11.

12 questions · Seed 81 · 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 31. One row has 8, 5, and ____. What is the missing number?
31 · 8 · 5 · Magic square missing values
2. In a magic square, every row adds up to 46. One row has 15, 14, and ____. What is the missing number?
46 · 15 · 14 · Magic square missing values
3. In a magic square, every row adds up to 37. One row has 14, 19, and ____. What is the missing number?
37 · 14 · 19 · Magic square missing values
4. In a magic square, every row adds up to 44. One row has 14, 19, and ____. What is the missing number?
44 · 14 · 19 · Magic square missing values
5. In a magic square, every row adds up to 38. One row has 17, 17, and ____. What is the missing number?
38 · 17 · 17 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 15, 10, and ____. What is the missing number?
38 · 15 · 10 · Magic square missing values
7. In a magic square, every row adds up to 40. One row has 15, 9, and ____. What is the missing number?
40 · 15 · 9 · Magic square missing values
8. In a magic square, every row adds up to 31. One row has 17, 7, and ____. What is the missing number?
31 · 17 · 7 · Magic square missing values
9. In a magic square, every row adds up to 43. One row has 5, 18, and ____. What is the missing number?
43 · 5 · 18 · Magic square missing values
10. In a magic square, every row adds up to 35. One row has 18, 2, and ____. What is the missing number?
35 · 18 · 2 · Magic square missing values
11. In a magic square, every row adds up to 14. One row has 7, 5, and ____. What is the missing number?
14 · 7 · 5 · Magic square missing values
12. In a magic square, every row adds up to 25. One row has 4, 10, and ____. What is the missing number?
25 · 4 · 10 · Magic square missing values

12 questions · Seed 81 · 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 31. One row has 8, 5, and ____. What is the missing number?
18
Subtract 8 + 5 = 13 from 31: 31 − 13 = 18.
2. In a magic square, every row adds up to 46. One row has 15, 14, and ____. What is the missing number?
17
Subtract 15 + 14 = 29 from 46: 46 − 29 = 17.
3. In a magic square, every row adds up to 37. One row has 14, 19, and ____. What is the missing number?
4
Subtract 14 + 19 = 33 from 37: 37 − 33 = 4.
4. In a magic square, every row adds up to 44. One row has 14, 19, and ____. What is the missing number?
11
Subtract 14 + 19 = 33 from 44: 44 − 33 = 11.
5. In a magic square, every row adds up to 38. One row has 17, 17, and ____. What is the missing number?
4
Subtract 17 + 17 = 34 from 38: 38 − 34 = 4.
6. In a magic square, every row adds up to 38. One row has 15, 10, and ____. What is the missing number?
13
Subtract 15 + 10 = 25 from 38: 38 − 25 = 13.
7. In a magic square, every row adds up to 40. One row has 15, 9, and ____. What is the missing number?
16
Subtract 15 + 9 = 24 from 40: 40 − 24 = 16.
8. In a magic square, every row adds up to 31. One row has 17, 7, and ____. What is the missing number?
7
Subtract 17 + 7 = 24 from 31: 31 − 24 = 7.
9. In a magic square, every row adds up to 43. One row has 5, 18, and ____. What is the missing number?
20
Subtract 5 + 18 = 23 from 43: 43 − 23 = 20.
10. In a magic square, every row adds up to 35. One row has 18, 2, and ____. What is the missing number?
15
Subtract 18 + 2 = 20 from 35: 35 − 20 = 15.
11. In a magic square, every row adds up to 14. One row has 7, 5, and ____. What is the missing number?
2
Subtract 7 + 5 = 12 from 14: 14 − 12 = 2.
12. In a magic square, every row adds up to 25. One row has 4, 10, and ____. What is the missing number?
11
Subtract 4 + 10 = 14 from 25: 25 − 14 = 11.

12 questions · Seed 81 · Age guidance, not curriculum certification