ReasoningAges 7-9

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 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 38. One row has 16, 10, and ____. What is the missing number?
38 · 16 · 10 · Magic square missing values
2. In a magic square, every row adds up to 27. One row has 20, 4, and ____. What is the missing number?
27 · 20 · 4 · Magic square missing values
3. In a magic square, every row adds up to 40. One row has 12, 8, and ____. What is the missing number?
40 · 12 · 8 · Magic square missing values
4. In a magic square, every row adds up to 52. One row has 13, 19, and ____. What is the missing number?
52 · 13 · 19 · Magic square missing values
5. In a magic square, every row adds up to 38. One row has 18, 10, and ____. What is the missing number?
38 · 18 · 10 · Magic square missing values
6. In a magic square, every row adds up to 14. One row has 3, 8, and ____. What is the missing number?
14 · 3 · 8 · Magic square missing values
7. In a magic square, every row adds up to 53. One row has 16, 19, and ____. What is the missing number?
53 · 16 · 19 · Magic square missing values
8. In a magic square, every row adds up to 28. One row has 12, 14, and ____. What is the missing number?
28 · 12 · 14 · Magic square missing values
9. In a magic square, every row adds up to 48. One row has 17, 17, and ____. What is the missing number?
48 · 17 · 17 · Magic square missing values
10. In a magic square, every row adds up to 17. One row has 3, 7, and ____. What is the missing number?
17 · 3 · 7 · Magic square missing values
11. In a magic square, every row adds up to 45. One row has 12, 13, and ____. What is the missing number?
45 · 12 · 13 · Magic square missing values
12. In a magic square, every row adds up to 28. One row has 2, 14, and ____. What is the missing number?
28 · 2 · 14 · Magic square missing values

12 questions · Seed 47 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 38. One row has 16, 10, and ____. What is the missing number?
12
Subtract 16 + 10 = 26 from 38: 38 − 26 = 12.
2. In a magic square, every row adds up to 27. One row has 20, 4, and ____. What is the missing number?
3
Subtract 20 + 4 = 24 from 27: 27 − 24 = 3.
3. In a magic square, every row adds up to 40. One row has 12, 8, and ____. What is the missing number?
20
Subtract 12 + 8 = 20 from 40: 40 − 20 = 20.
4. In a magic square, every row adds up to 52. One row has 13, 19, and ____. What is the missing number?
20
Subtract 13 + 19 = 32 from 52: 52 − 32 = 20.
5. In a magic square, every row adds up to 38. One row has 18, 10, and ____. What is the missing number?
10
Subtract 18 + 10 = 28 from 38: 38 − 28 = 10.
6. In a magic square, every row adds up to 14. One row has 3, 8, and ____. What is the missing number?
3
Subtract 3 + 8 = 11 from 14: 14 − 11 = 3.
7. In a magic square, every row adds up to 53. One row has 16, 19, and ____. What is the missing number?
18
Subtract 16 + 19 = 35 from 53: 53 − 35 = 18.
8. In a magic square, every row adds up to 28. One row has 12, 14, and ____. What is the missing number?
2
Subtract 12 + 14 = 26 from 28: 28 − 26 = 2.
9. In a magic square, every row adds up to 48. One row has 17, 17, and ____. What is the missing number?
14
Subtract 17 + 17 = 34 from 48: 48 − 34 = 14.
10. In a magic square, every row adds up to 17. One row has 3, 7, and ____. What is the missing number?
7
Subtract 3 + 7 = 10 from 17: 17 − 10 = 7.
11. In a magic square, every row adds up to 45. One row has 12, 13, and ____. What is the missing number?
20
Subtract 12 + 13 = 25 from 45: 45 − 25 = 20.
12. In a magic square, every row adds up to 28. One row has 2, 14, and ____. What is the missing number?
12
Subtract 2 + 14 = 16 from 28: 28 − 16 = 12.

12 questions · Seed 47 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 38. One row has 16, 10, and ____. What is the missing number?
38 · 16 · 10 · Magic square missing values
2. In a magic square, every row adds up to 27. One row has 20, 4, and ____. What is the missing number?
27 · 20 · 4 · Magic square missing values
3. In a magic square, every row adds up to 40. One row has 12, 8, and ____. What is the missing number?
40 · 12 · 8 · Magic square missing values
4. In a magic square, every row adds up to 52. One row has 13, 19, and ____. What is the missing number?
52 · 13 · 19 · Magic square missing values
5. In a magic square, every row adds up to 38. One row has 18, 10, and ____. What is the missing number?
38 · 18 · 10 · Magic square missing values
6. In a magic square, every row adds up to 14. One row has 3, 8, and ____. What is the missing number?
14 · 3 · 8 · Magic square missing values
7. In a magic square, every row adds up to 53. One row has 16, 19, and ____. What is the missing number?
53 · 16 · 19 · Magic square missing values
8. In a magic square, every row adds up to 28. One row has 12, 14, and ____. What is the missing number?
28 · 12 · 14 · Magic square missing values
9. In a magic square, every row adds up to 48. One row has 17, 17, and ____. What is the missing number?
48 · 17 · 17 · Magic square missing values
10. In a magic square, every row adds up to 17. One row has 3, 7, and ____. What is the missing number?
17 · 3 · 7 · Magic square missing values
11. In a magic square, every row adds up to 45. One row has 12, 13, and ____. What is the missing number?
45 · 12 · 13 · Magic square missing values
12. In a magic square, every row adds up to 28. One row has 2, 14, and ____. What is the missing number?
28 · 2 · 14 · Magic square missing values

12 questions · Seed 47 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 38. One row has 16, 10, and ____. What is the missing number?
12
Subtract 16 + 10 = 26 from 38: 38 − 26 = 12.
2. In a magic square, every row adds up to 27. One row has 20, 4, and ____. What is the missing number?
3
Subtract 20 + 4 = 24 from 27: 27 − 24 = 3.
3. In a magic square, every row adds up to 40. One row has 12, 8, and ____. What is the missing number?
20
Subtract 12 + 8 = 20 from 40: 40 − 20 = 20.
4. In a magic square, every row adds up to 52. One row has 13, 19, and ____. What is the missing number?
20
Subtract 13 + 19 = 32 from 52: 52 − 32 = 20.
5. In a magic square, every row adds up to 38. One row has 18, 10, and ____. What is the missing number?
10
Subtract 18 + 10 = 28 from 38: 38 − 28 = 10.
6. In a magic square, every row adds up to 14. One row has 3, 8, and ____. What is the missing number?
3
Subtract 3 + 8 = 11 from 14: 14 − 11 = 3.
7. In a magic square, every row adds up to 53. One row has 16, 19, and ____. What is the missing number?
18
Subtract 16 + 19 = 35 from 53: 53 − 35 = 18.
8. In a magic square, every row adds up to 28. One row has 12, 14, and ____. What is the missing number?
2
Subtract 12 + 14 = 26 from 28: 28 − 26 = 2.
9. In a magic square, every row adds up to 48. One row has 17, 17, and ____. What is the missing number?
14
Subtract 17 + 17 = 34 from 48: 48 − 34 = 14.
10. In a magic square, every row adds up to 17. One row has 3, 7, and ____. What is the missing number?
7
Subtract 3 + 7 = 10 from 17: 17 − 10 = 7.
11. In a magic square, every row adds up to 45. One row has 12, 13, and ____. What is the missing number?
20
Subtract 12 + 13 = 25 from 45: 45 − 25 = 20.
12. In a magic square, every row adds up to 28. One row has 2, 14, and ____. What is the missing number?
12
Subtract 2 + 14 = 16 from 28: 28 − 16 = 12.

12 questions · Seed 47 · Age guidance, not curriculum certification