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 22. One row has 8, 7, and ____. What is the missing number?
22 · 8 · 7 · Magic square missing values
2. In a magic square, every row adds up to 22. One row has 2, 4, and ____. What is the missing number?
22 · 2 · 4 · Magic square missing values
3. In a magic square, every row adds up to 29. One row has 19, 2, and ____. What is the missing number?
29 · 19 · 2 · Magic square missing values
4. In a magic square, every row adds up to 22. One row has 5, 6, and ____. What is the missing number?
22 · 5 · 6 · Magic square missing values
5. In a magic square, every row adds up to 28. One row has 5, 3, and ____. What is the missing number?
28 · 5 · 3 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 10, 17, and ____. What is the missing number?
30 · 10 · 17 · Magic square missing values
7. In a magic square, every row adds up to 17. One row has 3, 9, and ____. What is the missing number?
17 · 3 · 9 · Magic square missing values
8. In a magic square, every row adds up to 19. One row has 9, 5, and ____. What is the missing number?
19 · 9 · 5 · Magic square missing values
9. In a magic square, every row adds up to 39. One row has 13, 17, and ____. What is the missing number?
39 · 13 · 17 · Magic square missing values
10. In a magic square, every row adds up to 25. One row has 4, 12, and ____. What is the missing number?
25 · 4 · 12 · Magic square missing values
11. In a magic square, every row adds up to 18. One row has 6, 8, and ____. What is the missing number?
18 · 6 · 8 · Magic square missing values
12. In a magic square, every row adds up to 45. One row has 13, 18, and ____. What is the missing number?
45 · 13 · 18 · Magic square missing values

12 questions · Seed 104736 · 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 22. One row has 8, 7, and ____. What is the missing number?
7
Subtract 8 + 7 = 15 from 22: 22 − 15 = 7.
2. In a magic square, every row adds up to 22. One row has 2, 4, and ____. What is the missing number?
16
Subtract 2 + 4 = 6 from 22: 22 − 6 = 16.
3. In a magic square, every row adds up to 29. One row has 19, 2, and ____. What is the missing number?
8
Subtract 19 + 2 = 21 from 29: 29 − 21 = 8.
4. In a magic square, every row adds up to 22. One row has 5, 6, and ____. What is the missing number?
11
Subtract 5 + 6 = 11 from 22: 22 − 11 = 11.
5. In a magic square, every row adds up to 28. One row has 5, 3, and ____. What is the missing number?
20
Subtract 5 + 3 = 8 from 28: 28 − 8 = 20.
6. In a magic square, every row adds up to 30. One row has 10, 17, and ____. What is the missing number?
3
Subtract 10 + 17 = 27 from 30: 30 − 27 = 3.
7. In a magic square, every row adds up to 17. One row has 3, 9, and ____. What is the missing number?
5
Subtract 3 + 9 = 12 from 17: 17 − 12 = 5.
8. In a magic square, every row adds up to 19. One row has 9, 5, and ____. What is the missing number?
5
Subtract 9 + 5 = 14 from 19: 19 − 14 = 5.
9. In a magic square, every row adds up to 39. One row has 13, 17, and ____. What is the missing number?
9
Subtract 13 + 17 = 30 from 39: 39 − 30 = 9.
10. In a magic square, every row adds up to 25. One row has 4, 12, and ____. What is the missing number?
9
Subtract 4 + 12 = 16 from 25: 25 − 16 = 9.
11. In a magic square, every row adds up to 18. One row has 6, 8, and ____. What is the missing number?
4
Subtract 6 + 8 = 14 from 18: 18 − 14 = 4.
12. In a magic square, every row adds up to 45. One row has 13, 18, and ____. What is the missing number?
14
Subtract 13 + 18 = 31 from 45: 45 − 31 = 14.

12 questions · Seed 104736 · 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 22. One row has 8, 7, and ____. What is the missing number?
22 · 8 · 7 · Magic square missing values
2. In a magic square, every row adds up to 22. One row has 2, 4, and ____. What is the missing number?
22 · 2 · 4 · Magic square missing values
3. In a magic square, every row adds up to 29. One row has 19, 2, and ____. What is the missing number?
29 · 19 · 2 · Magic square missing values
4. In a magic square, every row adds up to 22. One row has 5, 6, and ____. What is the missing number?
22 · 5 · 6 · Magic square missing values
5. In a magic square, every row adds up to 28. One row has 5, 3, and ____. What is the missing number?
28 · 5 · 3 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 10, 17, and ____. What is the missing number?
30 · 10 · 17 · Magic square missing values
7. In a magic square, every row adds up to 17. One row has 3, 9, and ____. What is the missing number?
17 · 3 · 9 · Magic square missing values
8. In a magic square, every row adds up to 19. One row has 9, 5, and ____. What is the missing number?
19 · 9 · 5 · Magic square missing values
9. In a magic square, every row adds up to 39. One row has 13, 17, and ____. What is the missing number?
39 · 13 · 17 · Magic square missing values
10. In a magic square, every row adds up to 25. One row has 4, 12, and ____. What is the missing number?
25 · 4 · 12 · Magic square missing values
11. In a magic square, every row adds up to 18. One row has 6, 8, and ____. What is the missing number?
18 · 6 · 8 · Magic square missing values
12. In a magic square, every row adds up to 45. One row has 13, 18, and ____. What is the missing number?
45 · 13 · 18 · Magic square missing values

12 questions · Seed 104736 · 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 22. One row has 8, 7, and ____. What is the missing number?
7
Subtract 8 + 7 = 15 from 22: 22 − 15 = 7.
2. In a magic square, every row adds up to 22. One row has 2, 4, and ____. What is the missing number?
16
Subtract 2 + 4 = 6 from 22: 22 − 6 = 16.
3. In a magic square, every row adds up to 29. One row has 19, 2, and ____. What is the missing number?
8
Subtract 19 + 2 = 21 from 29: 29 − 21 = 8.
4. In a magic square, every row adds up to 22. One row has 5, 6, and ____. What is the missing number?
11
Subtract 5 + 6 = 11 from 22: 22 − 11 = 11.
5. In a magic square, every row adds up to 28. One row has 5, 3, and ____. What is the missing number?
20
Subtract 5 + 3 = 8 from 28: 28 − 8 = 20.
6. In a magic square, every row adds up to 30. One row has 10, 17, and ____. What is the missing number?
3
Subtract 10 + 17 = 27 from 30: 30 − 27 = 3.
7. In a magic square, every row adds up to 17. One row has 3, 9, and ____. What is the missing number?
5
Subtract 3 + 9 = 12 from 17: 17 − 12 = 5.
8. In a magic square, every row adds up to 19. One row has 9, 5, and ____. What is the missing number?
5
Subtract 9 + 5 = 14 from 19: 19 − 14 = 5.
9. In a magic square, every row adds up to 39. One row has 13, 17, and ____. What is the missing number?
9
Subtract 13 + 17 = 30 from 39: 39 − 30 = 9.
10. In a magic square, every row adds up to 25. One row has 4, 12, and ____. What is the missing number?
9
Subtract 4 + 12 = 16 from 25: 25 − 16 = 9.
11. In a magic square, every row adds up to 18. One row has 6, 8, and ____. What is the missing number?
4
Subtract 6 + 8 = 14 from 18: 18 − 14 = 4.
12. In a magic square, every row adds up to 45. One row has 13, 18, and ____. What is the missing number?
14
Subtract 13 + 18 = 31 from 45: 45 − 31 = 14.

12 questions · Seed 104736 · Age guidance, not curriculum certification