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 47. One row has 20, 17, and ____. What is the missing number?
47 · 20 · 17 · Magic square missing values
2. In a magic square, every row adds up to 31. One row has 9, 13, and ____. What is the missing number?
31 · 9 · 13 · Magic square missing values
3. In a magic square, every row adds up to 34. One row has 16, 2, and ____. What is the missing number?
34 · 16 · 2 · Magic square missing values
4. In a magic square, every row adds up to 30. One row has 8, 6, and ____. What is the missing number?
30 · 8 · 6 · Magic square missing values
5. In a magic square, every row adds up to 21. One row has 3, 2, and ____. What is the missing number?
21 · 3 · 2 · Magic square missing values
6. In a magic square, every row adds up to 33. One row has 5, 18, and ____. What is the missing number?
33 · 5 · 18 · Magic square missing values
7. In a magic square, every row adds up to 21. One row has 3, 15, and ____. What is the missing number?
21 · 3 · 15 · Magic square missing values
8. In a magic square, every row adds up to 40. One row has 18, 18, and ____. What is the missing number?
40 · 18 · 18 · Magic square missing values
9. In a magic square, every row adds up to 26. One row has 10, 12, and ____. What is the missing number?
26 · 10 · 12 · Magic square missing values
10. In a magic square, every row adds up to 45. One row has 20, 6, and ____. What is the missing number?
45 · 20 · 6 · Magic square missing values
11. In a magic square, every row adds up to 41. One row has 14, 17, and ____. What is the missing number?
41 · 14 · 17 · Magic square missing values
12. In a magic square, every row adds up to 37. One row has 8, 20, and ____. What is the missing number?
37 · 8 · 20 · Magic square missing values

12 questions · Seed 74 · 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 47. One row has 20, 17, and ____. What is the missing number?
10
Subtract 20 + 17 = 37 from 47: 47 − 37 = 10.
2. In a magic square, every row adds up to 31. One row has 9, 13, and ____. What is the missing number?
9
Subtract 9 + 13 = 22 from 31: 31 − 22 = 9.
3. In a magic square, every row adds up to 34. One row has 16, 2, and ____. What is the missing number?
16
Subtract 16 + 2 = 18 from 34: 34 − 18 = 16.
4. In a magic square, every row adds up to 30. One row has 8, 6, and ____. What is the missing number?
16
Subtract 8 + 6 = 14 from 30: 30 − 14 = 16.
5. In a magic square, every row adds up to 21. One row has 3, 2, and ____. What is the missing number?
16
Subtract 3 + 2 = 5 from 21: 21 − 5 = 16.
6. In a magic square, every row adds up to 33. One row has 5, 18, and ____. What is the missing number?
10
Subtract 5 + 18 = 23 from 33: 33 − 23 = 10.
7. In a magic square, every row adds up to 21. One row has 3, 15, and ____. What is the missing number?
3
Subtract 3 + 15 = 18 from 21: 21 − 18 = 3.
8. In a magic square, every row adds up to 40. One row has 18, 18, and ____. What is the missing number?
4
Subtract 18 + 18 = 36 from 40: 40 − 36 = 4.
9. In a magic square, every row adds up to 26. One row has 10, 12, and ____. What is the missing number?
4
Subtract 10 + 12 = 22 from 26: 26 − 22 = 4.
10. In a magic square, every row adds up to 45. One row has 20, 6, and ____. What is the missing number?
19
Subtract 20 + 6 = 26 from 45: 45 − 26 = 19.
11. In a magic square, every row adds up to 41. One row has 14, 17, and ____. What is the missing number?
10
Subtract 14 + 17 = 31 from 41: 41 − 31 = 10.
12. In a magic square, every row adds up to 37. One row has 8, 20, and ____. What is the missing number?
9
Subtract 8 + 20 = 28 from 37: 37 − 28 = 9.

12 questions · Seed 74 · 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 47. One row has 20, 17, and ____. What is the missing number?
47 · 20 · 17 · Magic square missing values
2. In a magic square, every row adds up to 31. One row has 9, 13, and ____. What is the missing number?
31 · 9 · 13 · Magic square missing values
3. In a magic square, every row adds up to 34. One row has 16, 2, and ____. What is the missing number?
34 · 16 · 2 · Magic square missing values
4. In a magic square, every row adds up to 30. One row has 8, 6, and ____. What is the missing number?
30 · 8 · 6 · Magic square missing values
5. In a magic square, every row adds up to 21. One row has 3, 2, and ____. What is the missing number?
21 · 3 · 2 · Magic square missing values
6. In a magic square, every row adds up to 33. One row has 5, 18, and ____. What is the missing number?
33 · 5 · 18 · Magic square missing values
7. In a magic square, every row adds up to 21. One row has 3, 15, and ____. What is the missing number?
21 · 3 · 15 · Magic square missing values
8. In a magic square, every row adds up to 40. One row has 18, 18, and ____. What is the missing number?
40 · 18 · 18 · Magic square missing values
9. In a magic square, every row adds up to 26. One row has 10, 12, and ____. What is the missing number?
26 · 10 · 12 · Magic square missing values
10. In a magic square, every row adds up to 45. One row has 20, 6, and ____. What is the missing number?
45 · 20 · 6 · Magic square missing values
11. In a magic square, every row adds up to 41. One row has 14, 17, and ____. What is the missing number?
41 · 14 · 17 · Magic square missing values
12. In a magic square, every row adds up to 37. One row has 8, 20, and ____. What is the missing number?
37 · 8 · 20 · Magic square missing values

12 questions · Seed 74 · 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 47. One row has 20, 17, and ____. What is the missing number?
10
Subtract 20 + 17 = 37 from 47: 47 − 37 = 10.
2. In a magic square, every row adds up to 31. One row has 9, 13, and ____. What is the missing number?
9
Subtract 9 + 13 = 22 from 31: 31 − 22 = 9.
3. In a magic square, every row adds up to 34. One row has 16, 2, and ____. What is the missing number?
16
Subtract 16 + 2 = 18 from 34: 34 − 18 = 16.
4. In a magic square, every row adds up to 30. One row has 8, 6, and ____. What is the missing number?
16
Subtract 8 + 6 = 14 from 30: 30 − 14 = 16.
5. In a magic square, every row adds up to 21. One row has 3, 2, and ____. What is the missing number?
16
Subtract 3 + 2 = 5 from 21: 21 − 5 = 16.
6. In a magic square, every row adds up to 33. One row has 5, 18, and ____. What is the missing number?
10
Subtract 5 + 18 = 23 from 33: 33 − 23 = 10.
7. In a magic square, every row adds up to 21. One row has 3, 15, and ____. What is the missing number?
3
Subtract 3 + 15 = 18 from 21: 21 − 18 = 3.
8. In a magic square, every row adds up to 40. One row has 18, 18, and ____. What is the missing number?
4
Subtract 18 + 18 = 36 from 40: 40 − 36 = 4.
9. In a magic square, every row adds up to 26. One row has 10, 12, and ____. What is the missing number?
4
Subtract 10 + 12 = 22 from 26: 26 − 22 = 4.
10. In a magic square, every row adds up to 45. One row has 20, 6, and ____. What is the missing number?
19
Subtract 20 + 6 = 26 from 45: 45 − 26 = 19.
11. In a magic square, every row adds up to 41. One row has 14, 17, and ____. What is the missing number?
10
Subtract 14 + 17 = 31 from 41: 41 − 31 = 10.
12. In a magic square, every row adds up to 37. One row has 8, 20, and ____. What is the missing number?
9
Subtract 8 + 20 = 28 from 37: 37 − 28 = 9.

12 questions · Seed 74 · Age guidance, not curriculum certification