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 29. One row has 5, 9, and ____. What is the missing number?
29 · 5 · 9 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 11, 16, and ____. What is the missing number?
34 · 11 · 16 · Magic square missing values
3. In a magic square, every row adds up to 47. One row has 17, 11, and ____. What is the missing number?
47 · 17 · 11 · Magic square missing values
4. In a magic square, every row adds up to 47. One row has 14, 16, and ____. What is the missing number?
47 · 14 · 16 · Magic square missing values
5. In a magic square, every row adds up to 24. One row has 3, 9, and ____. What is the missing number?
24 · 3 · 9 · Magic square missing values
6. In a magic square, every row adds up to 29. One row has 3, 12, and ____. What is the missing number?
29 · 3 · 12 · Magic square missing values
7. In a magic square, every row adds up to 45. One row has 11, 15, and ____. What is the missing number?
45 · 11 · 15 · Magic square missing values
8. In a magic square, every row adds up to 27. One row has 3, 7, and ____. What is the missing number?
27 · 3 · 7 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 18, 8, and ____. What is the missing number?
36 · 18 · 8 · Magic square missing values
10. In a magic square, every row adds up to 19. One row has 8, 5, and ____. What is the missing number?
19 · 8 · 5 · Magic square missing values
11. In a magic square, every row adds up to 21. One row has 6, 3, and ____. What is the missing number?
21 · 6 · 3 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 11, 8, and ____. What is the missing number?
39 · 11 · 8 · Magic square missing values

12 questions · Seed 69 · 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 29. One row has 5, 9, and ____. What is the missing number?
15
Subtract 5 + 9 = 14 from 29: 29 − 14 = 15.
2. In a magic square, every row adds up to 34. One row has 11, 16, and ____. What is the missing number?
7
Subtract 11 + 16 = 27 from 34: 34 − 27 = 7.
3. In a magic square, every row adds up to 47. One row has 17, 11, and ____. What is the missing number?
19
Subtract 17 + 11 = 28 from 47: 47 − 28 = 19.
4. In a magic square, every row adds up to 47. One row has 14, 16, and ____. What is the missing number?
17
Subtract 14 + 16 = 30 from 47: 47 − 30 = 17.
5. In a magic square, every row adds up to 24. One row has 3, 9, and ____. What is the missing number?
12
Subtract 3 + 9 = 12 from 24: 24 − 12 = 12.
6. In a magic square, every row adds up to 29. One row has 3, 12, and ____. What is the missing number?
14
Subtract 3 + 12 = 15 from 29: 29 − 15 = 14.
7. In a magic square, every row adds up to 45. One row has 11, 15, and ____. What is the missing number?
19
Subtract 11 + 15 = 26 from 45: 45 − 26 = 19.
8. In a magic square, every row adds up to 27. One row has 3, 7, and ____. What is the missing number?
17
Subtract 3 + 7 = 10 from 27: 27 − 10 = 17.
9. In a magic square, every row adds up to 36. One row has 18, 8, and ____. What is the missing number?
10
Subtract 18 + 8 = 26 from 36: 36 − 26 = 10.
10. In a magic square, every row adds up to 19. One row has 8, 5, and ____. What is the missing number?
6
Subtract 8 + 5 = 13 from 19: 19 − 13 = 6.
11. In a magic square, every row adds up to 21. One row has 6, 3, and ____. What is the missing number?
12
Subtract 6 + 3 = 9 from 21: 21 − 9 = 12.
12. In a magic square, every row adds up to 39. One row has 11, 8, and ____. What is the missing number?
20
Subtract 11 + 8 = 19 from 39: 39 − 19 = 20.

12 questions · Seed 69 · 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 29. One row has 5, 9, and ____. What is the missing number?
29 · 5 · 9 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 11, 16, and ____. What is the missing number?
34 · 11 · 16 · Magic square missing values
3. In a magic square, every row adds up to 47. One row has 17, 11, and ____. What is the missing number?
47 · 17 · 11 · Magic square missing values
4. In a magic square, every row adds up to 47. One row has 14, 16, and ____. What is the missing number?
47 · 14 · 16 · Magic square missing values
5. In a magic square, every row adds up to 24. One row has 3, 9, and ____. What is the missing number?
24 · 3 · 9 · Magic square missing values
6. In a magic square, every row adds up to 29. One row has 3, 12, and ____. What is the missing number?
29 · 3 · 12 · Magic square missing values
7. In a magic square, every row adds up to 45. One row has 11, 15, and ____. What is the missing number?
45 · 11 · 15 · Magic square missing values
8. In a magic square, every row adds up to 27. One row has 3, 7, and ____. What is the missing number?
27 · 3 · 7 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 18, 8, and ____. What is the missing number?
36 · 18 · 8 · Magic square missing values
10. In a magic square, every row adds up to 19. One row has 8, 5, and ____. What is the missing number?
19 · 8 · 5 · Magic square missing values
11. In a magic square, every row adds up to 21. One row has 6, 3, and ____. What is the missing number?
21 · 6 · 3 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 11, 8, and ____. What is the missing number?
39 · 11 · 8 · Magic square missing values

12 questions · Seed 69 · 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 29. One row has 5, 9, and ____. What is the missing number?
15
Subtract 5 + 9 = 14 from 29: 29 − 14 = 15.
2. In a magic square, every row adds up to 34. One row has 11, 16, and ____. What is the missing number?
7
Subtract 11 + 16 = 27 from 34: 34 − 27 = 7.
3. In a magic square, every row adds up to 47. One row has 17, 11, and ____. What is the missing number?
19
Subtract 17 + 11 = 28 from 47: 47 − 28 = 19.
4. In a magic square, every row adds up to 47. One row has 14, 16, and ____. What is the missing number?
17
Subtract 14 + 16 = 30 from 47: 47 − 30 = 17.
5. In a magic square, every row adds up to 24. One row has 3, 9, and ____. What is the missing number?
12
Subtract 3 + 9 = 12 from 24: 24 − 12 = 12.
6. In a magic square, every row adds up to 29. One row has 3, 12, and ____. What is the missing number?
14
Subtract 3 + 12 = 15 from 29: 29 − 15 = 14.
7. In a magic square, every row adds up to 45. One row has 11, 15, and ____. What is the missing number?
19
Subtract 11 + 15 = 26 from 45: 45 − 26 = 19.
8. In a magic square, every row adds up to 27. One row has 3, 7, and ____. What is the missing number?
17
Subtract 3 + 7 = 10 from 27: 27 − 10 = 17.
9. In a magic square, every row adds up to 36. One row has 18, 8, and ____. What is the missing number?
10
Subtract 18 + 8 = 26 from 36: 36 − 26 = 10.
10. In a magic square, every row adds up to 19. One row has 8, 5, and ____. What is the missing number?
6
Subtract 8 + 5 = 13 from 19: 19 − 13 = 6.
11. In a magic square, every row adds up to 21. One row has 6, 3, and ____. What is the missing number?
12
Subtract 6 + 3 = 9 from 21: 21 − 9 = 12.
12. In a magic square, every row adds up to 39. One row has 11, 8, and ____. What is the missing number?
20
Subtract 11 + 8 = 19 from 39: 39 − 19 = 20.

12 questions · Seed 69 · Age guidance, not curriculum certification