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 18. One row has 5, 11, and ____. What is the missing number?
18 · 5 · 11 · Magic square missing values
2. In a magic square, every row adds up to 40. One row has 19, 15, and ____. What is the missing number?
40 · 19 · 15 · Magic square missing values
3. In a magic square, every row adds up to 25. One row has 13, 2, and ____. What is the missing number?
25 · 13 · 2 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 10, 15, and ____. What is the missing number?
31 · 10 · 15 · Magic square missing values
5. In a magic square, every row adds up to 25. One row has 14, 6, and ____. What is the missing number?
25 · 14 · 6 · Magic square missing values
6. In a magic square, every row adds up to 37. One row has 10, 7, and ____. What is the missing number?
37 · 10 · 7 · Magic square missing values
7. In a magic square, every row adds up to 25. One row has 7, 4, and ____. What is the missing number?
25 · 7 · 4 · Magic square missing values
8. In a magic square, every row adds up to 19. One row has 12, 4, and ____. What is the missing number?
19 · 12 · 4 · Magic square missing values
9. In a magic square, every row adds up to 13. One row has 3, 7, and ____. What is the missing number?
13 · 3 · 7 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 3, 19, and ____. What is the missing number?
34 · 3 · 19 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 13, 4, and ____. What is the missing number?
30 · 13 · 4 · Magic square missing values
12. In a magic square, every row adds up to 26. One row has 8, 10, and ____. What is the missing number?
26 · 8 · 10 · Magic square missing values

12 questions · Seed 77 · 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 18. One row has 5, 11, and ____. What is the missing number?
2
Subtract 5 + 11 = 16 from 18: 18 − 16 = 2.
2. In a magic square, every row adds up to 40. One row has 19, 15, and ____. What is the missing number?
6
Subtract 19 + 15 = 34 from 40: 40 − 34 = 6.
3. In a magic square, every row adds up to 25. One row has 13, 2, and ____. What is the missing number?
10
Subtract 13 + 2 = 15 from 25: 25 − 15 = 10.
4. In a magic square, every row adds up to 31. One row has 10, 15, and ____. What is the missing number?
6
Subtract 10 + 15 = 25 from 31: 31 − 25 = 6.
5. In a magic square, every row adds up to 25. One row has 14, 6, and ____. What is the missing number?
5
Subtract 14 + 6 = 20 from 25: 25 − 20 = 5.
6. In a magic square, every row adds up to 37. One row has 10, 7, and ____. What is the missing number?
20
Subtract 10 + 7 = 17 from 37: 37 − 17 = 20.
7. In a magic square, every row adds up to 25. One row has 7, 4, and ____. What is the missing number?
14
Subtract 7 + 4 = 11 from 25: 25 − 11 = 14.
8. In a magic square, every row adds up to 19. One row has 12, 4, and ____. What is the missing number?
3
Subtract 12 + 4 = 16 from 19: 19 − 16 = 3.
9. In a magic square, every row adds up to 13. One row has 3, 7, and ____. What is the missing number?
3
Subtract 3 + 7 = 10 from 13: 13 − 10 = 3.
10. In a magic square, every row adds up to 34. One row has 3, 19, and ____. What is the missing number?
12
Subtract 3 + 19 = 22 from 34: 34 − 22 = 12.
11. In a magic square, every row adds up to 30. One row has 13, 4, and ____. What is the missing number?
13
Subtract 13 + 4 = 17 from 30: 30 − 17 = 13.
12. In a magic square, every row adds up to 26. One row has 8, 10, and ____. What is the missing number?
8
Subtract 8 + 10 = 18 from 26: 26 − 18 = 8.

12 questions · Seed 77 · 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 18. One row has 5, 11, and ____. What is the missing number?
18 · 5 · 11 · Magic square missing values
2. In a magic square, every row adds up to 40. One row has 19, 15, and ____. What is the missing number?
40 · 19 · 15 · Magic square missing values
3. In a magic square, every row adds up to 25. One row has 13, 2, and ____. What is the missing number?
25 · 13 · 2 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 10, 15, and ____. What is the missing number?
31 · 10 · 15 · Magic square missing values
5. In a magic square, every row adds up to 25. One row has 14, 6, and ____. What is the missing number?
25 · 14 · 6 · Magic square missing values
6. In a magic square, every row adds up to 37. One row has 10, 7, and ____. What is the missing number?
37 · 10 · 7 · Magic square missing values
7. In a magic square, every row adds up to 25. One row has 7, 4, and ____. What is the missing number?
25 · 7 · 4 · Magic square missing values
8. In a magic square, every row adds up to 19. One row has 12, 4, and ____. What is the missing number?
19 · 12 · 4 · Magic square missing values
9. In a magic square, every row adds up to 13. One row has 3, 7, and ____. What is the missing number?
13 · 3 · 7 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 3, 19, and ____. What is the missing number?
34 · 3 · 19 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 13, 4, and ____. What is the missing number?
30 · 13 · 4 · Magic square missing values
12. In a magic square, every row adds up to 26. One row has 8, 10, and ____. What is the missing number?
26 · 8 · 10 · Magic square missing values

12 questions · Seed 77 · 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 18. One row has 5, 11, and ____. What is the missing number?
2
Subtract 5 + 11 = 16 from 18: 18 − 16 = 2.
2. In a magic square, every row adds up to 40. One row has 19, 15, and ____. What is the missing number?
6
Subtract 19 + 15 = 34 from 40: 40 − 34 = 6.
3. In a magic square, every row adds up to 25. One row has 13, 2, and ____. What is the missing number?
10
Subtract 13 + 2 = 15 from 25: 25 − 15 = 10.
4. In a magic square, every row adds up to 31. One row has 10, 15, and ____. What is the missing number?
6
Subtract 10 + 15 = 25 from 31: 31 − 25 = 6.
5. In a magic square, every row adds up to 25. One row has 14, 6, and ____. What is the missing number?
5
Subtract 14 + 6 = 20 from 25: 25 − 20 = 5.
6. In a magic square, every row adds up to 37. One row has 10, 7, and ____. What is the missing number?
20
Subtract 10 + 7 = 17 from 37: 37 − 17 = 20.
7. In a magic square, every row adds up to 25. One row has 7, 4, and ____. What is the missing number?
14
Subtract 7 + 4 = 11 from 25: 25 − 11 = 14.
8. In a magic square, every row adds up to 19. One row has 12, 4, and ____. What is the missing number?
3
Subtract 12 + 4 = 16 from 19: 19 − 16 = 3.
9. In a magic square, every row adds up to 13. One row has 3, 7, and ____. What is the missing number?
3
Subtract 3 + 7 = 10 from 13: 13 − 10 = 3.
10. In a magic square, every row adds up to 34. One row has 3, 19, and ____. What is the missing number?
12
Subtract 3 + 19 = 22 from 34: 34 − 22 = 12.
11. In a magic square, every row adds up to 30. One row has 13, 4, and ____. What is the missing number?
13
Subtract 13 + 4 = 17 from 30: 30 − 17 = 13.
12. In a magic square, every row adds up to 26. One row has 8, 10, and ____. What is the missing number?
8
Subtract 8 + 10 = 18 from 26: 26 − 18 = 8.

12 questions · Seed 77 · Age guidance, not curriculum certification