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 19. One row has 5, 12, and ____. What is the missing number?
19 · 5 · 12 · Magic square missing values
2. In a magic square, every row adds up to 22. One row has 3, 10, and ____. What is the missing number?
22 · 3 · 10 · Magic square missing values
3. In a magic square, every row adds up to 23. One row has 7, 3, and ____. What is the missing number?
23 · 7 · 3 · Magic square missing values
4. In a magic square, every row adds up to 25. One row has 11, 6, and ____. What is the missing number?
25 · 11 · 6 · Magic square missing values
5. In a magic square, every row adds up to 21. One row has 9, 8, and ____. What is the missing number?
21 · 9 · 8 · Magic square missing values
6. In a magic square, every row adds up to 51. One row has 17, 15, and ____. What is the missing number?
51 · 17 · 15 · Magic square missing values
7. In a magic square, every row adds up to 44. One row has 14, 15, and ____. What is the missing number?
44 · 14 · 15 · Magic square missing values
8. In a magic square, every row adds up to 28. One row has 2, 12, and ____. What is the missing number?
28 · 2 · 12 · Magic square missing values
9. In a magic square, every row adds up to 41. One row has 8, 14, and ____. What is the missing number?
41 · 8 · 14 · Magic square missing values
10. In a magic square, every row adds up to 27. One row has 10, 9, and ____. What is the missing number?
27 · 10 · 9 · Magic square missing values
11. In a magic square, every row adds up to 23. One row has 3, 17, and ____. What is the missing number?
23 · 3 · 17 · Magic square missing values
12. In a magic square, every row adds up to 40. One row has 8, 16, and ____. What is the missing number?
40 · 8 · 16 · Magic square missing values

12 questions · Seed 104746 · 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 19. One row has 5, 12, and ____. What is the missing number?
2
Subtract 5 + 12 = 17 from 19: 19 − 17 = 2.
2. In a magic square, every row adds up to 22. One row has 3, 10, and ____. What is the missing number?
9
Subtract 3 + 10 = 13 from 22: 22 − 13 = 9.
3. In a magic square, every row adds up to 23. One row has 7, 3, and ____. What is the missing number?
13
Subtract 7 + 3 = 10 from 23: 23 − 10 = 13.
4. In a magic square, every row adds up to 25. One row has 11, 6, and ____. What is the missing number?
8
Subtract 11 + 6 = 17 from 25: 25 − 17 = 8.
5. In a magic square, every row adds up to 21. One row has 9, 8, and ____. What is the missing number?
4
Subtract 9 + 8 = 17 from 21: 21 − 17 = 4.
6. In a magic square, every row adds up to 51. One row has 17, 15, and ____. What is the missing number?
19
Subtract 17 + 15 = 32 from 51: 51 − 32 = 19.
7. In a magic square, every row adds up to 44. One row has 14, 15, and ____. What is the missing number?
15
Subtract 14 + 15 = 29 from 44: 44 − 29 = 15.
8. In a magic square, every row adds up to 28. One row has 2, 12, and ____. What is the missing number?
14
Subtract 2 + 12 = 14 from 28: 28 − 14 = 14.
9. In a magic square, every row adds up to 41. One row has 8, 14, and ____. What is the missing number?
19
Subtract 8 + 14 = 22 from 41: 41 − 22 = 19.
10. In a magic square, every row adds up to 27. One row has 10, 9, and ____. What is the missing number?
8
Subtract 10 + 9 = 19 from 27: 27 − 19 = 8.
11. In a magic square, every row adds up to 23. One row has 3, 17, and ____. What is the missing number?
3
Subtract 3 + 17 = 20 from 23: 23 − 20 = 3.
12. In a magic square, every row adds up to 40. One row has 8, 16, and ____. What is the missing number?
16
Subtract 8 + 16 = 24 from 40: 40 − 24 = 16.

12 questions · Seed 104746 · 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 19. One row has 5, 12, and ____. What is the missing number?
19 · 5 · 12 · Magic square missing values
2. In a magic square, every row adds up to 22. One row has 3, 10, and ____. What is the missing number?
22 · 3 · 10 · Magic square missing values
3. In a magic square, every row adds up to 23. One row has 7, 3, and ____. What is the missing number?
23 · 7 · 3 · Magic square missing values
4. In a magic square, every row adds up to 25. One row has 11, 6, and ____. What is the missing number?
25 · 11 · 6 · Magic square missing values
5. In a magic square, every row adds up to 21. One row has 9, 8, and ____. What is the missing number?
21 · 9 · 8 · Magic square missing values
6. In a magic square, every row adds up to 51. One row has 17, 15, and ____. What is the missing number?
51 · 17 · 15 · Magic square missing values
7. In a magic square, every row adds up to 44. One row has 14, 15, and ____. What is the missing number?
44 · 14 · 15 · Magic square missing values
8. In a magic square, every row adds up to 28. One row has 2, 12, and ____. What is the missing number?
28 · 2 · 12 · Magic square missing values
9. In a magic square, every row adds up to 41. One row has 8, 14, and ____. What is the missing number?
41 · 8 · 14 · Magic square missing values
10. In a magic square, every row adds up to 27. One row has 10, 9, and ____. What is the missing number?
27 · 10 · 9 · Magic square missing values
11. In a magic square, every row adds up to 23. One row has 3, 17, and ____. What is the missing number?
23 · 3 · 17 · Magic square missing values
12. In a magic square, every row adds up to 40. One row has 8, 16, and ____. What is the missing number?
40 · 8 · 16 · Magic square missing values

12 questions · Seed 104746 · 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 19. One row has 5, 12, and ____. What is the missing number?
2
Subtract 5 + 12 = 17 from 19: 19 − 17 = 2.
2. In a magic square, every row adds up to 22. One row has 3, 10, and ____. What is the missing number?
9
Subtract 3 + 10 = 13 from 22: 22 − 13 = 9.
3. In a magic square, every row adds up to 23. One row has 7, 3, and ____. What is the missing number?
13
Subtract 7 + 3 = 10 from 23: 23 − 10 = 13.
4. In a magic square, every row adds up to 25. One row has 11, 6, and ____. What is the missing number?
8
Subtract 11 + 6 = 17 from 25: 25 − 17 = 8.
5. In a magic square, every row adds up to 21. One row has 9, 8, and ____. What is the missing number?
4
Subtract 9 + 8 = 17 from 21: 21 − 17 = 4.
6. In a magic square, every row adds up to 51. One row has 17, 15, and ____. What is the missing number?
19
Subtract 17 + 15 = 32 from 51: 51 − 32 = 19.
7. In a magic square, every row adds up to 44. One row has 14, 15, and ____. What is the missing number?
15
Subtract 14 + 15 = 29 from 44: 44 − 29 = 15.
8. In a magic square, every row adds up to 28. One row has 2, 12, and ____. What is the missing number?
14
Subtract 2 + 12 = 14 from 28: 28 − 14 = 14.
9. In a magic square, every row adds up to 41. One row has 8, 14, and ____. What is the missing number?
19
Subtract 8 + 14 = 22 from 41: 41 − 22 = 19.
10. In a magic square, every row adds up to 27. One row has 10, 9, and ____. What is the missing number?
8
Subtract 10 + 9 = 19 from 27: 27 − 19 = 8.
11. In a magic square, every row adds up to 23. One row has 3, 17, and ____. What is the missing number?
3
Subtract 3 + 17 = 20 from 23: 23 − 20 = 3.
12. In a magic square, every row adds up to 40. One row has 8, 16, and ____. What is the missing number?
16
Subtract 8 + 16 = 24 from 40: 40 − 24 = 16.

12 questions · Seed 104746 · Age guidance, not curriculum certification