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 49. One row has 18, 19, and ____. What is the missing number?
49 · 18 · 19 · Magic square missing values
2. In a magic square, every row adds up to 46. One row has 15, 13, and ____. What is the missing number?
46 · 15 · 13 · Magic square missing values
3. In a magic square, every row adds up to 38. One row has 7, 17, and ____. What is the missing number?
38 · 7 · 17 · Magic square missing values
4. In a magic square, every row adds up to 41. One row has 20, 11, and ____. What is the missing number?
41 · 20 · 11 · Magic square missing values
5. In a magic square, every row adds up to 39. One row has 16, 15, and ____. What is the missing number?
39 · 16 · 15 · Magic square missing values
6. In a magic square, every row adds up to 35. One row has 12, 18, and ____. What is the missing number?
35 · 12 · 18 · Magic square missing values
7. In a magic square, every row adds up to 45. One row has 12, 16, and ____. What is the missing number?
45 · 12 · 16 · Magic square missing values
8. In a magic square, every row adds up to 33. One row has 2, 13, and ____. What is the missing number?
33 · 2 · 13 · Magic square missing values
9. In a magic square, every row adds up to 34. One row has 9, 12, and ____. What is the missing number?
34 · 9 · 12 · Magic square missing values
10. In a magic square, every row adds up to 30. One row has 10, 2, and ____. What is the missing number?
30 · 10 · 2 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 7, 4, and ____. What is the missing number?
30 · 7 · 4 · Magic square missing values
12. In a magic square, every row adds up to 38. One row has 15, 5, and ____. What is the missing number?
38 · 15 · 5 · Magic square missing values

12 questions · Seed 71 · 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 49. One row has 18, 19, and ____. What is the missing number?
12
Subtract 18 + 19 = 37 from 49: 49 − 37 = 12.
2. In a magic square, every row adds up to 46. One row has 15, 13, and ____. What is the missing number?
18
Subtract 15 + 13 = 28 from 46: 46 − 28 = 18.
3. In a magic square, every row adds up to 38. One row has 7, 17, and ____. What is the missing number?
14
Subtract 7 + 17 = 24 from 38: 38 − 24 = 14.
4. In a magic square, every row adds up to 41. One row has 20, 11, and ____. What is the missing number?
10
Subtract 20 + 11 = 31 from 41: 41 − 31 = 10.
5. In a magic square, every row adds up to 39. One row has 16, 15, and ____. What is the missing number?
8
Subtract 16 + 15 = 31 from 39: 39 − 31 = 8.
6. In a magic square, every row adds up to 35. One row has 12, 18, and ____. What is the missing number?
5
Subtract 12 + 18 = 30 from 35: 35 − 30 = 5.
7. In a magic square, every row adds up to 45. One row has 12, 16, and ____. What is the missing number?
17
Subtract 12 + 16 = 28 from 45: 45 − 28 = 17.
8. In a magic square, every row adds up to 33. One row has 2, 13, and ____. What is the missing number?
18
Subtract 2 + 13 = 15 from 33: 33 − 15 = 18.
9. In a magic square, every row adds up to 34. One row has 9, 12, and ____. What is the missing number?
13
Subtract 9 + 12 = 21 from 34: 34 − 21 = 13.
10. In a magic square, every row adds up to 30. One row has 10, 2, and ____. What is the missing number?
18
Subtract 10 + 2 = 12 from 30: 30 − 12 = 18.
11. In a magic square, every row adds up to 30. One row has 7, 4, and ____. What is the missing number?
19
Subtract 7 + 4 = 11 from 30: 30 − 11 = 19.
12. In a magic square, every row adds up to 38. One row has 15, 5, and ____. What is the missing number?
18
Subtract 15 + 5 = 20 from 38: 38 − 20 = 18.

12 questions · Seed 71 · 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 49. One row has 18, 19, and ____. What is the missing number?
49 · 18 · 19 · Magic square missing values
2. In a magic square, every row adds up to 46. One row has 15, 13, and ____. What is the missing number?
46 · 15 · 13 · Magic square missing values
3. In a magic square, every row adds up to 38. One row has 7, 17, and ____. What is the missing number?
38 · 7 · 17 · Magic square missing values
4. In a magic square, every row adds up to 41. One row has 20, 11, and ____. What is the missing number?
41 · 20 · 11 · Magic square missing values
5. In a magic square, every row adds up to 39. One row has 16, 15, and ____. What is the missing number?
39 · 16 · 15 · Magic square missing values
6. In a magic square, every row adds up to 35. One row has 12, 18, and ____. What is the missing number?
35 · 12 · 18 · Magic square missing values
7. In a magic square, every row adds up to 45. One row has 12, 16, and ____. What is the missing number?
45 · 12 · 16 · Magic square missing values
8. In a magic square, every row adds up to 33. One row has 2, 13, and ____. What is the missing number?
33 · 2 · 13 · Magic square missing values
9. In a magic square, every row adds up to 34. One row has 9, 12, and ____. What is the missing number?
34 · 9 · 12 · Magic square missing values
10. In a magic square, every row adds up to 30. One row has 10, 2, and ____. What is the missing number?
30 · 10 · 2 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 7, 4, and ____. What is the missing number?
30 · 7 · 4 · Magic square missing values
12. In a magic square, every row adds up to 38. One row has 15, 5, and ____. What is the missing number?
38 · 15 · 5 · Magic square missing values

12 questions · Seed 71 · 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 49. One row has 18, 19, and ____. What is the missing number?
12
Subtract 18 + 19 = 37 from 49: 49 − 37 = 12.
2. In a magic square, every row adds up to 46. One row has 15, 13, and ____. What is the missing number?
18
Subtract 15 + 13 = 28 from 46: 46 − 28 = 18.
3. In a magic square, every row adds up to 38. One row has 7, 17, and ____. What is the missing number?
14
Subtract 7 + 17 = 24 from 38: 38 − 24 = 14.
4. In a magic square, every row adds up to 41. One row has 20, 11, and ____. What is the missing number?
10
Subtract 20 + 11 = 31 from 41: 41 − 31 = 10.
5. In a magic square, every row adds up to 39. One row has 16, 15, and ____. What is the missing number?
8
Subtract 16 + 15 = 31 from 39: 39 − 31 = 8.
6. In a magic square, every row adds up to 35. One row has 12, 18, and ____. What is the missing number?
5
Subtract 12 + 18 = 30 from 35: 35 − 30 = 5.
7. In a magic square, every row adds up to 45. One row has 12, 16, and ____. What is the missing number?
17
Subtract 12 + 16 = 28 from 45: 45 − 28 = 17.
8. In a magic square, every row adds up to 33. One row has 2, 13, and ____. What is the missing number?
18
Subtract 2 + 13 = 15 from 33: 33 − 15 = 18.
9. In a magic square, every row adds up to 34. One row has 9, 12, and ____. What is the missing number?
13
Subtract 9 + 12 = 21 from 34: 34 − 21 = 13.
10. In a magic square, every row adds up to 30. One row has 10, 2, and ____. What is the missing number?
18
Subtract 10 + 2 = 12 from 30: 30 − 12 = 18.
11. In a magic square, every row adds up to 30. One row has 7, 4, and ____. What is the missing number?
19
Subtract 7 + 4 = 11 from 30: 30 − 11 = 19.
12. In a magic square, every row adds up to 38. One row has 15, 5, and ____. What is the missing number?
18
Subtract 15 + 5 = 20 from 38: 38 − 20 = 18.

12 questions · Seed 71 · Age guidance, not curriculum certification