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 36. One row has 12, 5, and ____. What is the missing number?
36 · 12 · 5 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 15, 11, and ____. What is the missing number?
34 · 15 · 11 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 7, 3, and ____. What is the missing number?
24 · 7 · 3 · Magic square missing values
4. In a magic square, every row adds up to 28. One row has 11, 14, and ____. What is the missing number?
28 · 11 · 14 · Magic square missing values
5. In a magic square, every row adds up to 32. One row has 5, 19, and ____. What is the missing number?
32 · 5 · 19 · Magic square missing values
6. In a magic square, every row adds up to 55. One row has 19, 18, and ____. What is the missing number?
55 · 19 · 18 · Magic square missing values
7. In a magic square, every row adds up to 37. One row has 17, 17, and ____. What is the missing number?
37 · 17 · 17 · Magic square missing values
8. In a magic square, every row adds up to 32. One row has 16, 5, and ____. What is the missing number?
32 · 16 · 5 · Magic square missing values
9. In a magic square, every row adds up to 44. One row has 19, 5, and ____. What is the missing number?
44 · 19 · 5 · Magic square missing values
10. In a magic square, every row adds up to 37. One row has 19, 10, and ____. What is the missing number?
37 · 19 · 10 · Magic square missing values
11. In a magic square, every row adds up to 56. One row has 18, 18, and ____. What is the missing number?
56 · 18 · 18 · Magic square missing values
12. In a magic square, every row adds up to 30. One row has 13, 15, and ____. What is the missing number?
30 · 13 · 15 · Magic square missing values

12 questions · Seed 60 · 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 36. One row has 12, 5, and ____. What is the missing number?
19
Subtract 12 + 5 = 17 from 36: 36 − 17 = 19.
2. In a magic square, every row adds up to 34. One row has 15, 11, and ____. What is the missing number?
8
Subtract 15 + 11 = 26 from 34: 34 − 26 = 8.
3. In a magic square, every row adds up to 24. One row has 7, 3, and ____. What is the missing number?
14
Subtract 7 + 3 = 10 from 24: 24 − 10 = 14.
4. In a magic square, every row adds up to 28. One row has 11, 14, and ____. What is the missing number?
3
Subtract 11 + 14 = 25 from 28: 28 − 25 = 3.
5. In a magic square, every row adds up to 32. One row has 5, 19, and ____. What is the missing number?
8
Subtract 5 + 19 = 24 from 32: 32 − 24 = 8.
6. In a magic square, every row adds up to 55. One row has 19, 18, and ____. What is the missing number?
18
Subtract 19 + 18 = 37 from 55: 55 − 37 = 18.
7. In a magic square, every row adds up to 37. One row has 17, 17, and ____. What is the missing number?
3
Subtract 17 + 17 = 34 from 37: 37 − 34 = 3.
8. In a magic square, every row adds up to 32. One row has 16, 5, and ____. What is the missing number?
11
Subtract 16 + 5 = 21 from 32: 32 − 21 = 11.
9. In a magic square, every row adds up to 44. One row has 19, 5, and ____. What is the missing number?
20
Subtract 19 + 5 = 24 from 44: 44 − 24 = 20.
10. In a magic square, every row adds up to 37. One row has 19, 10, and ____. What is the missing number?
8
Subtract 19 + 10 = 29 from 37: 37 − 29 = 8.
11. In a magic square, every row adds up to 56. One row has 18, 18, and ____. What is the missing number?
20
Subtract 18 + 18 = 36 from 56: 56 − 36 = 20.
12. In a magic square, every row adds up to 30. One row has 13, 15, and ____. What is the missing number?
2
Subtract 13 + 15 = 28 from 30: 30 − 28 = 2.

12 questions · Seed 60 · 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 36. One row has 12, 5, and ____. What is the missing number?
36 · 12 · 5 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 15, 11, and ____. What is the missing number?
34 · 15 · 11 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 7, 3, and ____. What is the missing number?
24 · 7 · 3 · Magic square missing values
4. In a magic square, every row adds up to 28. One row has 11, 14, and ____. What is the missing number?
28 · 11 · 14 · Magic square missing values
5. In a magic square, every row adds up to 32. One row has 5, 19, and ____. What is the missing number?
32 · 5 · 19 · Magic square missing values
6. In a magic square, every row adds up to 55. One row has 19, 18, and ____. What is the missing number?
55 · 19 · 18 · Magic square missing values
7. In a magic square, every row adds up to 37. One row has 17, 17, and ____. What is the missing number?
37 · 17 · 17 · Magic square missing values
8. In a magic square, every row adds up to 32. One row has 16, 5, and ____. What is the missing number?
32 · 16 · 5 · Magic square missing values
9. In a magic square, every row adds up to 44. One row has 19, 5, and ____. What is the missing number?
44 · 19 · 5 · Magic square missing values
10. In a magic square, every row adds up to 37. One row has 19, 10, and ____. What is the missing number?
37 · 19 · 10 · Magic square missing values
11. In a magic square, every row adds up to 56. One row has 18, 18, and ____. What is the missing number?
56 · 18 · 18 · Magic square missing values
12. In a magic square, every row adds up to 30. One row has 13, 15, and ____. What is the missing number?
30 · 13 · 15 · Magic square missing values

12 questions · Seed 60 · 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 36. One row has 12, 5, and ____. What is the missing number?
19
Subtract 12 + 5 = 17 from 36: 36 − 17 = 19.
2. In a magic square, every row adds up to 34. One row has 15, 11, and ____. What is the missing number?
8
Subtract 15 + 11 = 26 from 34: 34 − 26 = 8.
3. In a magic square, every row adds up to 24. One row has 7, 3, and ____. What is the missing number?
14
Subtract 7 + 3 = 10 from 24: 24 − 10 = 14.
4. In a magic square, every row adds up to 28. One row has 11, 14, and ____. What is the missing number?
3
Subtract 11 + 14 = 25 from 28: 28 − 25 = 3.
5. In a magic square, every row adds up to 32. One row has 5, 19, and ____. What is the missing number?
8
Subtract 5 + 19 = 24 from 32: 32 − 24 = 8.
6. In a magic square, every row adds up to 55. One row has 19, 18, and ____. What is the missing number?
18
Subtract 19 + 18 = 37 from 55: 55 − 37 = 18.
7. In a magic square, every row adds up to 37. One row has 17, 17, and ____. What is the missing number?
3
Subtract 17 + 17 = 34 from 37: 37 − 34 = 3.
8. In a magic square, every row adds up to 32. One row has 16, 5, and ____. What is the missing number?
11
Subtract 16 + 5 = 21 from 32: 32 − 21 = 11.
9. In a magic square, every row adds up to 44. One row has 19, 5, and ____. What is the missing number?
20
Subtract 19 + 5 = 24 from 44: 44 − 24 = 20.
10. In a magic square, every row adds up to 37. One row has 19, 10, and ____. What is the missing number?
8
Subtract 19 + 10 = 29 from 37: 37 − 29 = 8.
11. In a magic square, every row adds up to 56. One row has 18, 18, and ____. What is the missing number?
20
Subtract 18 + 18 = 36 from 56: 56 − 36 = 20.
12. In a magic square, every row adds up to 30. One row has 13, 15, and ____. What is the missing number?
2
Subtract 13 + 15 = 28 from 30: 30 − 28 = 2.

12 questions · Seed 60 · Age guidance, not curriculum certification