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 51. One row has 13, 18, and ____. What is the missing number?
51 · 13 · 18 · Magic square missing values
2. In a magic square, every row adds up to 31. One row has 19, 8, and ____. What is the missing number?
31 · 19 · 8 · Magic square missing values
3. In a magic square, every row adds up to 42. One row has 17, 14, and ____. What is the missing number?
42 · 17 · 14 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 9, 8, and ____. What is the missing number?
31 · 9 · 8 · Magic square missing values
5. In a magic square, every row adds up to 45. One row has 13, 19, and ____. What is the missing number?
45 · 13 · 19 · Magic square missing values
6. In a magic square, every row adds up to 31. One row has 9, 6, and ____. What is the missing number?
31 · 9 · 6 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 11, 16, and ____. What is the missing number?
29 · 11 · 16 · Magic square missing values
8. In a magic square, every row adds up to 48. One row has 19, 18, and ____. What is the missing number?
48 · 19 · 18 · Magic square missing values
9. In a magic square, every row adds up to 19. One row has 4, 11, and ____. What is the missing number?
19 · 4 · 11 · Magic square missing values
10. In a magic square, every row adds up to 42. One row has 20, 6, and ____. What is the missing number?
42 · 20 · 6 · Magic square missing values
11. In a magic square, every row adds up to 40. One row has 13, 12, and ____. What is the missing number?
40 · 13 · 12 · Magic square missing values
12. In a magic square, every row adds up to 22. One row has 5, 9, and ____. What is the missing number?
22 · 5 · 9 · Magic square missing values

12 questions · Seed 104740 · 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 51. One row has 13, 18, and ____. What is the missing number?
20
Subtract 13 + 18 = 31 from 51: 51 − 31 = 20.
2. In a magic square, every row adds up to 31. One row has 19, 8, and ____. What is the missing number?
4
Subtract 19 + 8 = 27 from 31: 31 − 27 = 4.
3. In a magic square, every row adds up to 42. One row has 17, 14, and ____. What is the missing number?
11
Subtract 17 + 14 = 31 from 42: 42 − 31 = 11.
4. In a magic square, every row adds up to 31. One row has 9, 8, and ____. What is the missing number?
14
Subtract 9 + 8 = 17 from 31: 31 − 17 = 14.
5. In a magic square, every row adds up to 45. One row has 13, 19, and ____. What is the missing number?
13
Subtract 13 + 19 = 32 from 45: 45 − 32 = 13.
6. In a magic square, every row adds up to 31. One row has 9, 6, and ____. What is the missing number?
16
Subtract 9 + 6 = 15 from 31: 31 − 15 = 16.
7. In a magic square, every row adds up to 29. One row has 11, 16, and ____. What is the missing number?
2
Subtract 11 + 16 = 27 from 29: 29 − 27 = 2.
8. In a magic square, every row adds up to 48. One row has 19, 18, and ____. What is the missing number?
11
Subtract 19 + 18 = 37 from 48: 48 − 37 = 11.
9. In a magic square, every row adds up to 19. One row has 4, 11, and ____. What is the missing number?
4
Subtract 4 + 11 = 15 from 19: 19 − 15 = 4.
10. In a magic square, every row adds up to 42. One row has 20, 6, and ____. What is the missing number?
16
Subtract 20 + 6 = 26 from 42: 42 − 26 = 16.
11. In a magic square, every row adds up to 40. One row has 13, 12, and ____. What is the missing number?
15
Subtract 13 + 12 = 25 from 40: 40 − 25 = 15.
12. In a magic square, every row adds up to 22. One row has 5, 9, and ____. What is the missing number?
8
Subtract 5 + 9 = 14 from 22: 22 − 14 = 8.

12 questions · Seed 104740 · 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 51. One row has 13, 18, and ____. What is the missing number?
51 · 13 · 18 · Magic square missing values
2. In a magic square, every row adds up to 31. One row has 19, 8, and ____. What is the missing number?
31 · 19 · 8 · Magic square missing values
3. In a magic square, every row adds up to 42. One row has 17, 14, and ____. What is the missing number?
42 · 17 · 14 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 9, 8, and ____. What is the missing number?
31 · 9 · 8 · Magic square missing values
5. In a magic square, every row adds up to 45. One row has 13, 19, and ____. What is the missing number?
45 · 13 · 19 · Magic square missing values
6. In a magic square, every row adds up to 31. One row has 9, 6, and ____. What is the missing number?
31 · 9 · 6 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 11, 16, and ____. What is the missing number?
29 · 11 · 16 · Magic square missing values
8. In a magic square, every row adds up to 48. One row has 19, 18, and ____. What is the missing number?
48 · 19 · 18 · Magic square missing values
9. In a magic square, every row adds up to 19. One row has 4, 11, and ____. What is the missing number?
19 · 4 · 11 · Magic square missing values
10. In a magic square, every row adds up to 42. One row has 20, 6, and ____. What is the missing number?
42 · 20 · 6 · Magic square missing values
11. In a magic square, every row adds up to 40. One row has 13, 12, and ____. What is the missing number?
40 · 13 · 12 · Magic square missing values
12. In a magic square, every row adds up to 22. One row has 5, 9, and ____. What is the missing number?
22 · 5 · 9 · Magic square missing values

12 questions · Seed 104740 · 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 51. One row has 13, 18, and ____. What is the missing number?
20
Subtract 13 + 18 = 31 from 51: 51 − 31 = 20.
2. In a magic square, every row adds up to 31. One row has 19, 8, and ____. What is the missing number?
4
Subtract 19 + 8 = 27 from 31: 31 − 27 = 4.
3. In a magic square, every row adds up to 42. One row has 17, 14, and ____. What is the missing number?
11
Subtract 17 + 14 = 31 from 42: 42 − 31 = 11.
4. In a magic square, every row adds up to 31. One row has 9, 8, and ____. What is the missing number?
14
Subtract 9 + 8 = 17 from 31: 31 − 17 = 14.
5. In a magic square, every row adds up to 45. One row has 13, 19, and ____. What is the missing number?
13
Subtract 13 + 19 = 32 from 45: 45 − 32 = 13.
6. In a magic square, every row adds up to 31. One row has 9, 6, and ____. What is the missing number?
16
Subtract 9 + 6 = 15 from 31: 31 − 15 = 16.
7. In a magic square, every row adds up to 29. One row has 11, 16, and ____. What is the missing number?
2
Subtract 11 + 16 = 27 from 29: 29 − 27 = 2.
8. In a magic square, every row adds up to 48. One row has 19, 18, and ____. What is the missing number?
11
Subtract 19 + 18 = 37 from 48: 48 − 37 = 11.
9. In a magic square, every row adds up to 19. One row has 4, 11, and ____. What is the missing number?
4
Subtract 4 + 11 = 15 from 19: 19 − 15 = 4.
10. In a magic square, every row adds up to 42. One row has 20, 6, and ____. What is the missing number?
16
Subtract 20 + 6 = 26 from 42: 42 − 26 = 16.
11. In a magic square, every row adds up to 40. One row has 13, 12, and ____. What is the missing number?
15
Subtract 13 + 12 = 25 from 40: 40 − 25 = 15.
12. In a magic square, every row adds up to 22. One row has 5, 9, and ____. What is the missing number?
8
Subtract 5 + 9 = 14 from 22: 22 − 14 = 8.

12 questions · Seed 104740 · Age guidance, not curriculum certification