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 37. One row has 14, 15, and ____. What is the missing number?
37 · 14 · 15 · Magic square missing values
2. In a magic square, every row adds up to 33. One row has 10, 13, and ____. What is the missing number?
33 · 10 · 13 · Magic square missing values
3. In a magic square, every row adds up to 25. One row has 11, 2, and ____. What is the missing number?
25 · 11 · 2 · Magic square missing values
4. In a magic square, every row adds up to 17. One row has 4, 6, and ____. What is the missing number?
17 · 4 · 6 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 8, 9, and ____. What is the missing number?
30 · 8 · 9 · Magic square missing values
6. In a magic square, every row adds up to 21. One row has 7, 5, and ____. What is the missing number?
21 · 7 · 5 · Magic square missing values
7. In a magic square, every row adds up to 40. One row has 13, 12, and ____. What is the missing number?
40 · 13 · 12 · Magic square missing values
8. In a magic square, every row adds up to 21. One row has 16, 2, and ____. What is the missing number?
21 · 16 · 2 · Magic square missing values
9. In a magic square, every row adds up to 34. One row has 13, 13, and ____. What is the missing number?
34 · 13 · 13 · Magic square missing values
10. In a magic square, every row adds up to 30. One row has 9, 5, and ____. What is the missing number?
30 · 9 · 5 · Magic square missing values
11. In a magic square, every row adds up to 19. One row has 11, 6, and ____. What is the missing number?
19 · 11 · 6 · Magic square missing values
12. In a magic square, every row adds up to 43. One row has 19, 8, and ____. What is the missing number?
43 · 19 · 8 · Magic square missing values

12 questions · Seed 87 · 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 37. One row has 14, 15, and ____. What is the missing number?
8
Subtract 14 + 15 = 29 from 37: 37 − 29 = 8.
2. In a magic square, every row adds up to 33. One row has 10, 13, and ____. What is the missing number?
10
Subtract 10 + 13 = 23 from 33: 33 − 23 = 10.
3. In a magic square, every row adds up to 25. One row has 11, 2, and ____. What is the missing number?
12
Subtract 11 + 2 = 13 from 25: 25 − 13 = 12.
4. In a magic square, every row adds up to 17. One row has 4, 6, and ____. What is the missing number?
7
Subtract 4 + 6 = 10 from 17: 17 − 10 = 7.
5. In a magic square, every row adds up to 30. One row has 8, 9, and ____. What is the missing number?
13
Subtract 8 + 9 = 17 from 30: 30 − 17 = 13.
6. In a magic square, every row adds up to 21. One row has 7, 5, and ____. What is the missing number?
9
Subtract 7 + 5 = 12 from 21: 21 − 12 = 9.
7. In a magic square, every row adds up to 40. One row has 13, 12, and ____. What is the missing number?
15
Subtract 13 + 12 = 25 from 40: 40 − 25 = 15.
8. In a magic square, every row adds up to 21. One row has 16, 2, and ____. What is the missing number?
3
Subtract 16 + 2 = 18 from 21: 21 − 18 = 3.
9. In a magic square, every row adds up to 34. One row has 13, 13, and ____. What is the missing number?
8
Subtract 13 + 13 = 26 from 34: 34 − 26 = 8.
10. In a magic square, every row adds up to 30. One row has 9, 5, and ____. What is the missing number?
16
Subtract 9 + 5 = 14 from 30: 30 − 14 = 16.
11. In a magic square, every row adds up to 19. One row has 11, 6, and ____. What is the missing number?
2
Subtract 11 + 6 = 17 from 19: 19 − 17 = 2.
12. In a magic square, every row adds up to 43. One row has 19, 8, and ____. What is the missing number?
16
Subtract 19 + 8 = 27 from 43: 43 − 27 = 16.

12 questions · Seed 87 · 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 37. One row has 14, 15, and ____. What is the missing number?
37 · 14 · 15 · Magic square missing values
2. In a magic square, every row adds up to 33. One row has 10, 13, and ____. What is the missing number?
33 · 10 · 13 · Magic square missing values
3. In a magic square, every row adds up to 25. One row has 11, 2, and ____. What is the missing number?
25 · 11 · 2 · Magic square missing values
4. In a magic square, every row adds up to 17. One row has 4, 6, and ____. What is the missing number?
17 · 4 · 6 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 8, 9, and ____. What is the missing number?
30 · 8 · 9 · Magic square missing values
6. In a magic square, every row adds up to 21. One row has 7, 5, and ____. What is the missing number?
21 · 7 · 5 · Magic square missing values
7. In a magic square, every row adds up to 40. One row has 13, 12, and ____. What is the missing number?
40 · 13 · 12 · Magic square missing values
8. In a magic square, every row adds up to 21. One row has 16, 2, and ____. What is the missing number?
21 · 16 · 2 · Magic square missing values
9. In a magic square, every row adds up to 34. One row has 13, 13, and ____. What is the missing number?
34 · 13 · 13 · Magic square missing values
10. In a magic square, every row adds up to 30. One row has 9, 5, and ____. What is the missing number?
30 · 9 · 5 · Magic square missing values
11. In a magic square, every row adds up to 19. One row has 11, 6, and ____. What is the missing number?
19 · 11 · 6 · Magic square missing values
12. In a magic square, every row adds up to 43. One row has 19, 8, and ____. What is the missing number?
43 · 19 · 8 · Magic square missing values

12 questions · Seed 87 · 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 37. One row has 14, 15, and ____. What is the missing number?
8
Subtract 14 + 15 = 29 from 37: 37 − 29 = 8.
2. In a magic square, every row adds up to 33. One row has 10, 13, and ____. What is the missing number?
10
Subtract 10 + 13 = 23 from 33: 33 − 23 = 10.
3. In a magic square, every row adds up to 25. One row has 11, 2, and ____. What is the missing number?
12
Subtract 11 + 2 = 13 from 25: 25 − 13 = 12.
4. In a magic square, every row adds up to 17. One row has 4, 6, and ____. What is the missing number?
7
Subtract 4 + 6 = 10 from 17: 17 − 10 = 7.
5. In a magic square, every row adds up to 30. One row has 8, 9, and ____. What is the missing number?
13
Subtract 8 + 9 = 17 from 30: 30 − 17 = 13.
6. In a magic square, every row adds up to 21. One row has 7, 5, and ____. What is the missing number?
9
Subtract 7 + 5 = 12 from 21: 21 − 12 = 9.
7. In a magic square, every row adds up to 40. One row has 13, 12, and ____. What is the missing number?
15
Subtract 13 + 12 = 25 from 40: 40 − 25 = 15.
8. In a magic square, every row adds up to 21. One row has 16, 2, and ____. What is the missing number?
3
Subtract 16 + 2 = 18 from 21: 21 − 18 = 3.
9. In a magic square, every row adds up to 34. One row has 13, 13, and ____. What is the missing number?
8
Subtract 13 + 13 = 26 from 34: 34 − 26 = 8.
10. In a magic square, every row adds up to 30. One row has 9, 5, and ____. What is the missing number?
16
Subtract 9 + 5 = 14 from 30: 30 − 14 = 16.
11. In a magic square, every row adds up to 19. One row has 11, 6, and ____. What is the missing number?
2
Subtract 11 + 6 = 17 from 19: 19 − 17 = 2.
12. In a magic square, every row adds up to 43. One row has 19, 8, and ____. What is the missing number?
16
Subtract 19 + 8 = 27 from 43: 43 − 27 = 16.

12 questions · Seed 87 · Age guidance, not curriculum certification