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 44. One row has 17, 10, and ____. What is the missing number?
44 · 17 · 10 · Magic square missing values
2. In a magic square, every row adds up to 53. One row has 19, 17, and ____. What is the missing number?
53 · 19 · 17 · Magic square missing values
3. In a magic square, every row adds up to 19. One row has 6, 8, and ____. What is the missing number?
19 · 6 · 8 · Magic square missing values
4. In a magic square, every row adds up to 30. One row has 11, 3, and ____. What is the missing number?
30 · 11 · 3 · Magic square missing values
5. 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
6. In a magic square, every row adds up to 28. One row has 16, 5, and ____. What is the missing number?
28 · 16 · 5 · Magic square missing values
7. In a magic square, every row adds up to 28. One row has 5, 4, and ____. What is the missing number?
28 · 5 · 4 · Magic square missing values
8. In a magic square, every row adds up to 39. One row has 17, 11, and ____. What is the missing number?
39 · 17 · 11 · Magic square missing values
9. In a magic square, every row adds up to 24. One row has 14, 3, and ____. What is the missing number?
24 · 14 · 3 · Magic square missing values
10. In a magic square, every row adds up to 29. One row has 6, 5, and ____. What is the missing number?
29 · 6 · 5 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 2, 10, and ____. What is the missing number?
26 · 2 · 10 · Magic square missing values
12. In a magic square, every row adds up to 27. One row has 9, 3, and ____. What is the missing number?
27 · 9 · 3 · Magic square missing values

12 questions · Seed 51 · 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 44. One row has 17, 10, and ____. What is the missing number?
17
Subtract 17 + 10 = 27 from 44: 44 − 27 = 17.
2. In a magic square, every row adds up to 53. One row has 19, 17, and ____. What is the missing number?
17
Subtract 19 + 17 = 36 from 53: 53 − 36 = 17.
3. In a magic square, every row adds up to 19. One row has 6, 8, and ____. What is the missing number?
5
Subtract 6 + 8 = 14 from 19: 19 − 14 = 5.
4. In a magic square, every row adds up to 30. One row has 11, 3, and ____. What is the missing number?
16
Subtract 11 + 3 = 14 from 30: 30 − 14 = 16.
5. 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.
6. In a magic square, every row adds up to 28. One row has 16, 5, and ____. What is the missing number?
7
Subtract 16 + 5 = 21 from 28: 28 − 21 = 7.
7. In a magic square, every row adds up to 28. One row has 5, 4, and ____. What is the missing number?
19
Subtract 5 + 4 = 9 from 28: 28 − 9 = 19.
8. In a magic square, every row adds up to 39. One row has 17, 11, and ____. What is the missing number?
11
Subtract 17 + 11 = 28 from 39: 39 − 28 = 11.
9. In a magic square, every row adds up to 24. One row has 14, 3, and ____. What is the missing number?
7
Subtract 14 + 3 = 17 from 24: 24 − 17 = 7.
10. In a magic square, every row adds up to 29. One row has 6, 5, and ____. What is the missing number?
18
Subtract 6 + 5 = 11 from 29: 29 − 11 = 18.
11. In a magic square, every row adds up to 26. One row has 2, 10, and ____. What is the missing number?
14
Subtract 2 + 10 = 12 from 26: 26 − 12 = 14.
12. In a magic square, every row adds up to 27. One row has 9, 3, and ____. What is the missing number?
15
Subtract 9 + 3 = 12 from 27: 27 − 12 = 15.

12 questions · Seed 51 · 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 44. One row has 17, 10, and ____. What is the missing number?
44 · 17 · 10 · Magic square missing values
2. In a magic square, every row adds up to 53. One row has 19, 17, and ____. What is the missing number?
53 · 19 · 17 · Magic square missing values
3. In a magic square, every row adds up to 19. One row has 6, 8, and ____. What is the missing number?
19 · 6 · 8 · Magic square missing values
4. In a magic square, every row adds up to 30. One row has 11, 3, and ____. What is the missing number?
30 · 11 · 3 · Magic square missing values
5. 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
6. In a magic square, every row adds up to 28. One row has 16, 5, and ____. What is the missing number?
28 · 16 · 5 · Magic square missing values
7. In a magic square, every row adds up to 28. One row has 5, 4, and ____. What is the missing number?
28 · 5 · 4 · Magic square missing values
8. In a magic square, every row adds up to 39. One row has 17, 11, and ____. What is the missing number?
39 · 17 · 11 · Magic square missing values
9. In a magic square, every row adds up to 24. One row has 14, 3, and ____. What is the missing number?
24 · 14 · 3 · Magic square missing values
10. In a magic square, every row adds up to 29. One row has 6, 5, and ____. What is the missing number?
29 · 6 · 5 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 2, 10, and ____. What is the missing number?
26 · 2 · 10 · Magic square missing values
12. In a magic square, every row adds up to 27. One row has 9, 3, and ____. What is the missing number?
27 · 9 · 3 · Magic square missing values

12 questions · Seed 51 · 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 44. One row has 17, 10, and ____. What is the missing number?
17
Subtract 17 + 10 = 27 from 44: 44 − 27 = 17.
2. In a magic square, every row adds up to 53. One row has 19, 17, and ____. What is the missing number?
17
Subtract 19 + 17 = 36 from 53: 53 − 36 = 17.
3. In a magic square, every row adds up to 19. One row has 6, 8, and ____. What is the missing number?
5
Subtract 6 + 8 = 14 from 19: 19 − 14 = 5.
4. In a magic square, every row adds up to 30. One row has 11, 3, and ____. What is the missing number?
16
Subtract 11 + 3 = 14 from 30: 30 − 14 = 16.
5. 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.
6. In a magic square, every row adds up to 28. One row has 16, 5, and ____. What is the missing number?
7
Subtract 16 + 5 = 21 from 28: 28 − 21 = 7.
7. In a magic square, every row adds up to 28. One row has 5, 4, and ____. What is the missing number?
19
Subtract 5 + 4 = 9 from 28: 28 − 9 = 19.
8. In a magic square, every row adds up to 39. One row has 17, 11, and ____. What is the missing number?
11
Subtract 17 + 11 = 28 from 39: 39 − 28 = 11.
9. In a magic square, every row adds up to 24. One row has 14, 3, and ____. What is the missing number?
7
Subtract 14 + 3 = 17 from 24: 24 − 17 = 7.
10. In a magic square, every row adds up to 29. One row has 6, 5, and ____. What is the missing number?
18
Subtract 6 + 5 = 11 from 29: 29 − 11 = 18.
11. In a magic square, every row adds up to 26. One row has 2, 10, and ____. What is the missing number?
14
Subtract 2 + 10 = 12 from 26: 26 − 12 = 14.
12. In a magic square, every row adds up to 27. One row has 9, 3, and ____. What is the missing number?
15
Subtract 9 + 3 = 12 from 27: 27 − 12 = 15.

12 questions · Seed 51 · Age guidance, not curriculum certification