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 28. One row has 9, 3, and ____. What is the missing number?
28 · 9 · 3 · Magic square missing values
2. In a magic square, every row adds up to 29. One row has 16, 3, and ____. What is the missing number?
29 · 16 · 3 · Magic square missing values
3. In a magic square, every row adds up to 37. One row has 16, 3, and ____. What is the missing number?
37 · 16 · 3 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 7, 12, and ____. What is the missing number?
31 · 7 · 12 · Magic square missing values
5. In a magic square, every row adds up to 23. One row has 13, 5, and ____. What is the missing number?
23 · 13 · 5 · Magic square missing values
6. In a magic square, every row adds up to 31. One row has 14, 15, and ____. What is the missing number?
31 · 14 · 15 · Magic square missing values
7. In a magic square, every row adds up to 45. One row has 18, 18, and ____. What is the missing number?
45 · 18 · 18 · Magic square missing values
8. In a magic square, every row adds up to 35. One row has 7, 10, and ____. What is the missing number?
35 · 7 · 10 · Magic square missing values
9. In a magic square, every row adds up to 42. One row has 20, 10, and ____. What is the missing number?
42 · 20 · 10 · Magic square missing values
10. In a magic square, every row adds up to 41. One row has 16, 11, and ____. What is the missing number?
41 · 16 · 11 · Magic square missing values
11. In a magic square, every row adds up to 56. One row has 19, 18, and ____. What is the missing number?
56 · 19 · 18 · Magic square missing values
12. In a magic square, every row adds up to 49. One row has 15, 17, and ____. What is the missing number?
49 · 15 · 17 · Magic square missing values

12 questions · Seed 59 · 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 28. One row has 9, 3, and ____. What is the missing number?
16
Subtract 9 + 3 = 12 from 28: 28 − 12 = 16.
2. In a magic square, every row adds up to 29. One row has 16, 3, and ____. What is the missing number?
10
Subtract 16 + 3 = 19 from 29: 29 − 19 = 10.
3. In a magic square, every row adds up to 37. One row has 16, 3, and ____. What is the missing number?
18
Subtract 16 + 3 = 19 from 37: 37 − 19 = 18.
4. In a magic square, every row adds up to 31. One row has 7, 12, and ____. What is the missing number?
12
Subtract 7 + 12 = 19 from 31: 31 − 19 = 12.
5. In a magic square, every row adds up to 23. One row has 13, 5, and ____. What is the missing number?
5
Subtract 13 + 5 = 18 from 23: 23 − 18 = 5.
6. In a magic square, every row adds up to 31. One row has 14, 15, and ____. What is the missing number?
2
Subtract 14 + 15 = 29 from 31: 31 − 29 = 2.
7. In a magic square, every row adds up to 45. One row has 18, 18, and ____. What is the missing number?
9
Subtract 18 + 18 = 36 from 45: 45 − 36 = 9.
8. In a magic square, every row adds up to 35. One row has 7, 10, and ____. What is the missing number?
18
Subtract 7 + 10 = 17 from 35: 35 − 17 = 18.
9. In a magic square, every row adds up to 42. One row has 20, 10, and ____. What is the missing number?
12
Subtract 20 + 10 = 30 from 42: 42 − 30 = 12.
10. In a magic square, every row adds up to 41. One row has 16, 11, and ____. What is the missing number?
14
Subtract 16 + 11 = 27 from 41: 41 − 27 = 14.
11. In a magic square, every row adds up to 56. One row has 19, 18, and ____. What is the missing number?
19
Subtract 19 + 18 = 37 from 56: 56 − 37 = 19.
12. In a magic square, every row adds up to 49. One row has 15, 17, and ____. What is the missing number?
17
Subtract 15 + 17 = 32 from 49: 49 − 32 = 17.

12 questions · Seed 59 · 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 28. One row has 9, 3, and ____. What is the missing number?
28 · 9 · 3 · Magic square missing values
2. In a magic square, every row adds up to 29. One row has 16, 3, and ____. What is the missing number?
29 · 16 · 3 · Magic square missing values
3. In a magic square, every row adds up to 37. One row has 16, 3, and ____. What is the missing number?
37 · 16 · 3 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 7, 12, and ____. What is the missing number?
31 · 7 · 12 · Magic square missing values
5. In a magic square, every row adds up to 23. One row has 13, 5, and ____. What is the missing number?
23 · 13 · 5 · Magic square missing values
6. In a magic square, every row adds up to 31. One row has 14, 15, and ____. What is the missing number?
31 · 14 · 15 · Magic square missing values
7. In a magic square, every row adds up to 45. One row has 18, 18, and ____. What is the missing number?
45 · 18 · 18 · Magic square missing values
8. In a magic square, every row adds up to 35. One row has 7, 10, and ____. What is the missing number?
35 · 7 · 10 · Magic square missing values
9. In a magic square, every row adds up to 42. One row has 20, 10, and ____. What is the missing number?
42 · 20 · 10 · Magic square missing values
10. In a magic square, every row adds up to 41. One row has 16, 11, and ____. What is the missing number?
41 · 16 · 11 · Magic square missing values
11. In a magic square, every row adds up to 56. One row has 19, 18, and ____. What is the missing number?
56 · 19 · 18 · Magic square missing values
12. In a magic square, every row adds up to 49. One row has 15, 17, and ____. What is the missing number?
49 · 15 · 17 · Magic square missing values

12 questions · Seed 59 · 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 28. One row has 9, 3, and ____. What is the missing number?
16
Subtract 9 + 3 = 12 from 28: 28 − 12 = 16.
2. In a magic square, every row adds up to 29. One row has 16, 3, and ____. What is the missing number?
10
Subtract 16 + 3 = 19 from 29: 29 − 19 = 10.
3. In a magic square, every row adds up to 37. One row has 16, 3, and ____. What is the missing number?
18
Subtract 16 + 3 = 19 from 37: 37 − 19 = 18.
4. In a magic square, every row adds up to 31. One row has 7, 12, and ____. What is the missing number?
12
Subtract 7 + 12 = 19 from 31: 31 − 19 = 12.
5. In a magic square, every row adds up to 23. One row has 13, 5, and ____. What is the missing number?
5
Subtract 13 + 5 = 18 from 23: 23 − 18 = 5.
6. In a magic square, every row adds up to 31. One row has 14, 15, and ____. What is the missing number?
2
Subtract 14 + 15 = 29 from 31: 31 − 29 = 2.
7. In a magic square, every row adds up to 45. One row has 18, 18, and ____. What is the missing number?
9
Subtract 18 + 18 = 36 from 45: 45 − 36 = 9.
8. In a magic square, every row adds up to 35. One row has 7, 10, and ____. What is the missing number?
18
Subtract 7 + 10 = 17 from 35: 35 − 17 = 18.
9. In a magic square, every row adds up to 42. One row has 20, 10, and ____. What is the missing number?
12
Subtract 20 + 10 = 30 from 42: 42 − 30 = 12.
10. In a magic square, every row adds up to 41. One row has 16, 11, and ____. What is the missing number?
14
Subtract 16 + 11 = 27 from 41: 41 − 27 = 14.
11. In a magic square, every row adds up to 56. One row has 19, 18, and ____. What is the missing number?
19
Subtract 19 + 18 = 37 from 56: 56 − 37 = 19.
12. In a magic square, every row adds up to 49. One row has 15, 17, and ____. What is the missing number?
17
Subtract 15 + 17 = 32 from 49: 49 − 32 = 17.

12 questions · Seed 59 · Age guidance, not curriculum certification