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 5, 2, and ____. What is the missing number?
18 · 5 · 2 · Magic square missing values
2. In a magic square, every row adds up to 16. One row has 7, 5, and ____. What is the missing number?
16 · 7 · 5 · Magic square missing values
3. In a magic square, every row adds up to 43. One row has 12, 12, and ____. What is the missing number?
43 · 12 · 12 · Magic square missing values
4. In a magic square, every row adds up to 57. One row has 20, 19, and ____. What is the missing number?
57 · 20 · 19 · Magic square missing values
5. In a magic square, every row adds up to 47. One row has 7, 20, and ____. What is the missing number?
47 · 7 · 20 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 7, 8, and ____. What is the missing number?
30 · 7 · 8 · Magic square missing values
7. In a magic square, every row adds up to 51. One row has 13, 18, and ____. What is the missing number?
51 · 13 · 18 · Magic square missing values
8. In a magic square, every row adds up to 16. One row has 5, 7, and ____. What is the missing number?
16 · 5 · 7 · Magic square missing values
9. 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
10. In a magic square, every row adds up to 30. One row has 9, 2, and ____. What is the missing number?
30 · 9 · 2 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 13, 13, and ____. What is the missing number?
30 · 13 · 13 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 15, 4, and ____. What is the missing number?
39 · 15 · 4 · Magic square missing values

12 questions · Seed 104742 · 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 5, 2, and ____. What is the missing number?
11
Subtract 5 + 2 = 7 from 18: 18 − 7 = 11.
2. In a magic square, every row adds up to 16. One row has 7, 5, and ____. What is the missing number?
4
Subtract 7 + 5 = 12 from 16: 16 − 12 = 4.
3. In a magic square, every row adds up to 43. One row has 12, 12, and ____. What is the missing number?
19
Subtract 12 + 12 = 24 from 43: 43 − 24 = 19.
4. In a magic square, every row adds up to 57. One row has 20, 19, and ____. What is the missing number?
18
Subtract 20 + 19 = 39 from 57: 57 − 39 = 18.
5. In a magic square, every row adds up to 47. One row has 7, 20, and ____. What is the missing number?
20
Subtract 7 + 20 = 27 from 47: 47 − 27 = 20.
6. In a magic square, every row adds up to 30. One row has 7, 8, and ____. What is the missing number?
15
Subtract 7 + 8 = 15 from 30: 30 − 15 = 15.
7. In a magic square, every row adds up to 51. One row has 13, 18, and ____. What is the missing number?
20
Subtract 13 + 18 = 31 from 51: 51 − 31 = 20.
8. In a magic square, every row adds up to 16. One row has 5, 7, and ____. What is the missing number?
4
Subtract 5 + 7 = 12 from 16: 16 − 12 = 4.
9. 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.
10. In a magic square, every row adds up to 30. One row has 9, 2, and ____. What is the missing number?
19
Subtract 9 + 2 = 11 from 30: 30 − 11 = 19.
11. In a magic square, every row adds up to 30. One row has 13, 13, and ____. What is the missing number?
4
Subtract 13 + 13 = 26 from 30: 30 − 26 = 4.
12. In a magic square, every row adds up to 39. One row has 15, 4, and ____. What is the missing number?
20
Subtract 15 + 4 = 19 from 39: 39 − 19 = 20.

12 questions · Seed 104742 · 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 5, 2, and ____. What is the missing number?
18 · 5 · 2 · Magic square missing values
2. In a magic square, every row adds up to 16. One row has 7, 5, and ____. What is the missing number?
16 · 7 · 5 · Magic square missing values
3. In a magic square, every row adds up to 43. One row has 12, 12, and ____. What is the missing number?
43 · 12 · 12 · Magic square missing values
4. In a magic square, every row adds up to 57. One row has 20, 19, and ____. What is the missing number?
57 · 20 · 19 · Magic square missing values
5. In a magic square, every row adds up to 47. One row has 7, 20, and ____. What is the missing number?
47 · 7 · 20 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 7, 8, and ____. What is the missing number?
30 · 7 · 8 · Magic square missing values
7. In a magic square, every row adds up to 51. One row has 13, 18, and ____. What is the missing number?
51 · 13 · 18 · Magic square missing values
8. In a magic square, every row adds up to 16. One row has 5, 7, and ____. What is the missing number?
16 · 5 · 7 · Magic square missing values
9. 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
10. In a magic square, every row adds up to 30. One row has 9, 2, and ____. What is the missing number?
30 · 9 · 2 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 13, 13, and ____. What is the missing number?
30 · 13 · 13 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 15, 4, and ____. What is the missing number?
39 · 15 · 4 · Magic square missing values

12 questions · Seed 104742 · 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 5, 2, and ____. What is the missing number?
11
Subtract 5 + 2 = 7 from 18: 18 − 7 = 11.
2. In a magic square, every row adds up to 16. One row has 7, 5, and ____. What is the missing number?
4
Subtract 7 + 5 = 12 from 16: 16 − 12 = 4.
3. In a magic square, every row adds up to 43. One row has 12, 12, and ____. What is the missing number?
19
Subtract 12 + 12 = 24 from 43: 43 − 24 = 19.
4. In a magic square, every row adds up to 57. One row has 20, 19, and ____. What is the missing number?
18
Subtract 20 + 19 = 39 from 57: 57 − 39 = 18.
5. In a magic square, every row adds up to 47. One row has 7, 20, and ____. What is the missing number?
20
Subtract 7 + 20 = 27 from 47: 47 − 27 = 20.
6. In a magic square, every row adds up to 30. One row has 7, 8, and ____. What is the missing number?
15
Subtract 7 + 8 = 15 from 30: 30 − 15 = 15.
7. In a magic square, every row adds up to 51. One row has 13, 18, and ____. What is the missing number?
20
Subtract 13 + 18 = 31 from 51: 51 − 31 = 20.
8. In a magic square, every row adds up to 16. One row has 5, 7, and ____. What is the missing number?
4
Subtract 5 + 7 = 12 from 16: 16 − 12 = 4.
9. 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.
10. In a magic square, every row adds up to 30. One row has 9, 2, and ____. What is the missing number?
19
Subtract 9 + 2 = 11 from 30: 30 − 11 = 19.
11. In a magic square, every row adds up to 30. One row has 13, 13, and ____. What is the missing number?
4
Subtract 13 + 13 = 26 from 30: 30 − 26 = 4.
12. In a magic square, every row adds up to 39. One row has 15, 4, and ____. What is the missing number?
20
Subtract 15 + 4 = 19 from 39: 39 − 19 = 20.

12 questions · Seed 104742 · Age guidance, not curriculum certification