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 43. One row has 14, 17, and ____. What is the missing number?
43 · 14 · 17 · Magic square missing values
2. In a magic square, every row adds up to 40. One row has 11, 17, and ____. What is the missing number?
40 · 11 · 17 · Magic square missing values
3. In a magic square, every row adds up to 31. One row has 17, 6, and ____. What is the missing number?
31 · 17 · 6 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 4, 10, and ____. What is the missing number?
31 · 4 · 10 · Magic square missing values
5. In a magic square, every row adds up to 34. One row has 9, 17, and ____. What is the missing number?
34 · 9 · 17 · Magic square missing values
6. In a magic square, every row adds up to 49. One row has 14, 20, and ____. What is the missing number?
49 · 14 · 20 · Magic square missing values
7. In a magic square, every row adds up to 17. One row has 4, 10, and ____. What is the missing number?
17 · 4 · 10 · Magic square missing values
8. In a magic square, every row adds up to 27. One row has 5, 15, and ____. What is the missing number?
27 · 5 · 15 · Magic square missing values
9. In a magic square, every row adds up to 32. One row has 10, 14, and ____. What is the missing number?
32 · 10 · 14 · Magic square missing values
10. In a magic square, every row adds up to 21. One row has 5, 6, and ____. What is the missing number?
21 · 5 · 6 · Magic square missing values
11. In a magic square, every row adds up to 35. One row has 8, 7, and ____. What is the missing number?
35 · 8 · 7 · Magic square missing values
12. In a magic square, every row adds up to 51. One row has 20, 11, and ____. What is the missing number?
51 · 20 · 11 · Magic square missing values

12 questions · Seed 57 · 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 43. One row has 14, 17, and ____. What is the missing number?
12
Subtract 14 + 17 = 31 from 43: 43 − 31 = 12.
2. In a magic square, every row adds up to 40. One row has 11, 17, and ____. What is the missing number?
12
Subtract 11 + 17 = 28 from 40: 40 − 28 = 12.
3. In a magic square, every row adds up to 31. One row has 17, 6, and ____. What is the missing number?
8
Subtract 17 + 6 = 23 from 31: 31 − 23 = 8.
4. In a magic square, every row adds up to 31. One row has 4, 10, and ____. What is the missing number?
17
Subtract 4 + 10 = 14 from 31: 31 − 14 = 17.
5. In a magic square, every row adds up to 34. One row has 9, 17, and ____. What is the missing number?
8
Subtract 9 + 17 = 26 from 34: 34 − 26 = 8.
6. In a magic square, every row adds up to 49. One row has 14, 20, and ____. What is the missing number?
15
Subtract 14 + 20 = 34 from 49: 49 − 34 = 15.
7. In a magic square, every row adds up to 17. One row has 4, 10, and ____. What is the missing number?
3
Subtract 4 + 10 = 14 from 17: 17 − 14 = 3.
8. In a magic square, every row adds up to 27. One row has 5, 15, and ____. What is the missing number?
7
Subtract 5 + 15 = 20 from 27: 27 − 20 = 7.
9. In a magic square, every row adds up to 32. One row has 10, 14, and ____. What is the missing number?
8
Subtract 10 + 14 = 24 from 32: 32 − 24 = 8.
10. In a magic square, every row adds up to 21. One row has 5, 6, and ____. What is the missing number?
10
Subtract 5 + 6 = 11 from 21: 21 − 11 = 10.
11. In a magic square, every row adds up to 35. One row has 8, 7, and ____. What is the missing number?
20
Subtract 8 + 7 = 15 from 35: 35 − 15 = 20.
12. In a magic square, every row adds up to 51. One row has 20, 11, and ____. What is the missing number?
20
Subtract 20 + 11 = 31 from 51: 51 − 31 = 20.

12 questions · Seed 57 · 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 43. One row has 14, 17, and ____. What is the missing number?
43 · 14 · 17 · Magic square missing values
2. In a magic square, every row adds up to 40. One row has 11, 17, and ____. What is the missing number?
40 · 11 · 17 · Magic square missing values
3. In a magic square, every row adds up to 31. One row has 17, 6, and ____. What is the missing number?
31 · 17 · 6 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 4, 10, and ____. What is the missing number?
31 · 4 · 10 · Magic square missing values
5. In a magic square, every row adds up to 34. One row has 9, 17, and ____. What is the missing number?
34 · 9 · 17 · Magic square missing values
6. In a magic square, every row adds up to 49. One row has 14, 20, and ____. What is the missing number?
49 · 14 · 20 · Magic square missing values
7. In a magic square, every row adds up to 17. One row has 4, 10, and ____. What is the missing number?
17 · 4 · 10 · Magic square missing values
8. In a magic square, every row adds up to 27. One row has 5, 15, and ____. What is the missing number?
27 · 5 · 15 · Magic square missing values
9. In a magic square, every row adds up to 32. One row has 10, 14, and ____. What is the missing number?
32 · 10 · 14 · Magic square missing values
10. In a magic square, every row adds up to 21. One row has 5, 6, and ____. What is the missing number?
21 · 5 · 6 · Magic square missing values
11. In a magic square, every row adds up to 35. One row has 8, 7, and ____. What is the missing number?
35 · 8 · 7 · Magic square missing values
12. In a magic square, every row adds up to 51. One row has 20, 11, and ____. What is the missing number?
51 · 20 · 11 · Magic square missing values

12 questions · Seed 57 · 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 43. One row has 14, 17, and ____. What is the missing number?
12
Subtract 14 + 17 = 31 from 43: 43 − 31 = 12.
2. In a magic square, every row adds up to 40. One row has 11, 17, and ____. What is the missing number?
12
Subtract 11 + 17 = 28 from 40: 40 − 28 = 12.
3. In a magic square, every row adds up to 31. One row has 17, 6, and ____. What is the missing number?
8
Subtract 17 + 6 = 23 from 31: 31 − 23 = 8.
4. In a magic square, every row adds up to 31. One row has 4, 10, and ____. What is the missing number?
17
Subtract 4 + 10 = 14 from 31: 31 − 14 = 17.
5. In a magic square, every row adds up to 34. One row has 9, 17, and ____. What is the missing number?
8
Subtract 9 + 17 = 26 from 34: 34 − 26 = 8.
6. In a magic square, every row adds up to 49. One row has 14, 20, and ____. What is the missing number?
15
Subtract 14 + 20 = 34 from 49: 49 − 34 = 15.
7. In a magic square, every row adds up to 17. One row has 4, 10, and ____. What is the missing number?
3
Subtract 4 + 10 = 14 from 17: 17 − 14 = 3.
8. In a magic square, every row adds up to 27. One row has 5, 15, and ____. What is the missing number?
7
Subtract 5 + 15 = 20 from 27: 27 − 20 = 7.
9. In a magic square, every row adds up to 32. One row has 10, 14, and ____. What is the missing number?
8
Subtract 10 + 14 = 24 from 32: 32 − 24 = 8.
10. In a magic square, every row adds up to 21. One row has 5, 6, and ____. What is the missing number?
10
Subtract 5 + 6 = 11 from 21: 21 − 11 = 10.
11. In a magic square, every row adds up to 35. One row has 8, 7, and ____. What is the missing number?
20
Subtract 8 + 7 = 15 from 35: 35 − 15 = 20.
12. In a magic square, every row adds up to 51. One row has 20, 11, and ____. What is the missing number?
20
Subtract 20 + 11 = 31 from 51: 51 − 31 = 20.

12 questions · Seed 57 · Age guidance, not curriculum certification