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 30. One row has 12, 15, and ____. What is the missing number?
30 · 12 · 15 · Magic square missing values
2. In a magic square, every row adds up to 36. One row has 17, 3, and ____. What is the missing number?
36 · 17 · 3 · Magic square missing values
3. In a magic square, every row adds up to 35. One row has 14, 9, and ____. What is the missing number?
35 · 14 · 9 · Magic square missing values
4. In a magic square, every row adds up to 38. One row has 16, 11, and ____. What is the missing number?
38 · 16 · 11 · Magic square missing values
5. In a magic square, every row adds up to 38. One row has 11, 16, and ____. What is the missing number?
38 · 11 · 16 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 19, 17, and ____. What is the missing number?
38 · 19 · 17 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 20, 4, and ____. What is the missing number?
29 · 20 · 4 · Magic square missing values
8. In a magic square, every row adds up to 23. One row has 9, 12, and ____. What is the missing number?
23 · 9 · 12 · Magic square missing values
9. In a magic square, every row adds up to 23. One row has 9, 2, and ____. What is the missing number?
23 · 9 · 2 · Magic square missing values
10. In a magic square, every row adds up to 19. One row has 2, 3, and ____. What is the missing number?
19 · 2 · 3 · Magic square missing values
11. In a magic square, every row adds up to 40. One row has 9, 11, and ____. What is the missing number?
40 · 9 · 11 · Magic square missing values
12. In a magic square, every row adds up to 43. One row has 18, 15, and ____. What is the missing number?
43 · 18 · 15 · Magic square missing values

12 questions · Seed 104738 · 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 30. One row has 12, 15, and ____. What is the missing number?
3
Subtract 12 + 15 = 27 from 30: 30 − 27 = 3.
2. In a magic square, every row adds up to 36. One row has 17, 3, and ____. What is the missing number?
16
Subtract 17 + 3 = 20 from 36: 36 − 20 = 16.
3. In a magic square, every row adds up to 35. One row has 14, 9, and ____. What is the missing number?
12
Subtract 14 + 9 = 23 from 35: 35 − 23 = 12.
4. In a magic square, every row adds up to 38. One row has 16, 11, and ____. What is the missing number?
11
Subtract 16 + 11 = 27 from 38: 38 − 27 = 11.
5. In a magic square, every row adds up to 38. One row has 11, 16, and ____. What is the missing number?
11
Subtract 11 + 16 = 27 from 38: 38 − 27 = 11.
6. In a magic square, every row adds up to 38. One row has 19, 17, and ____. What is the missing number?
2
Subtract 19 + 17 = 36 from 38: 38 − 36 = 2.
7. In a magic square, every row adds up to 29. One row has 20, 4, and ____. What is the missing number?
5
Subtract 20 + 4 = 24 from 29: 29 − 24 = 5.
8. In a magic square, every row adds up to 23. One row has 9, 12, and ____. What is the missing number?
2
Subtract 9 + 12 = 21 from 23: 23 − 21 = 2.
9. In a magic square, every row adds up to 23. One row has 9, 2, and ____. What is the missing number?
12
Subtract 9 + 2 = 11 from 23: 23 − 11 = 12.
10. In a magic square, every row adds up to 19. One row has 2, 3, and ____. What is the missing number?
14
Subtract 2 + 3 = 5 from 19: 19 − 5 = 14.
11. In a magic square, every row adds up to 40. One row has 9, 11, and ____. What is the missing number?
20
Subtract 9 + 11 = 20 from 40: 40 − 20 = 20.
12. In a magic square, every row adds up to 43. One row has 18, 15, and ____. What is the missing number?
10
Subtract 18 + 15 = 33 from 43: 43 − 33 = 10.

12 questions · Seed 104738 · 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 30. One row has 12, 15, and ____. What is the missing number?
30 · 12 · 15 · Magic square missing values
2. In a magic square, every row adds up to 36. One row has 17, 3, and ____. What is the missing number?
36 · 17 · 3 · Magic square missing values
3. In a magic square, every row adds up to 35. One row has 14, 9, and ____. What is the missing number?
35 · 14 · 9 · Magic square missing values
4. In a magic square, every row adds up to 38. One row has 16, 11, and ____. What is the missing number?
38 · 16 · 11 · Magic square missing values
5. In a magic square, every row adds up to 38. One row has 11, 16, and ____. What is the missing number?
38 · 11 · 16 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 19, 17, and ____. What is the missing number?
38 · 19 · 17 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 20, 4, and ____. What is the missing number?
29 · 20 · 4 · Magic square missing values
8. In a magic square, every row adds up to 23. One row has 9, 12, and ____. What is the missing number?
23 · 9 · 12 · Magic square missing values
9. In a magic square, every row adds up to 23. One row has 9, 2, and ____. What is the missing number?
23 · 9 · 2 · Magic square missing values
10. In a magic square, every row adds up to 19. One row has 2, 3, and ____. What is the missing number?
19 · 2 · 3 · Magic square missing values
11. In a magic square, every row adds up to 40. One row has 9, 11, and ____. What is the missing number?
40 · 9 · 11 · Magic square missing values
12. In a magic square, every row adds up to 43. One row has 18, 15, and ____. What is the missing number?
43 · 18 · 15 · Magic square missing values

12 questions · Seed 104738 · 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 30. One row has 12, 15, and ____. What is the missing number?
3
Subtract 12 + 15 = 27 from 30: 30 − 27 = 3.
2. In a magic square, every row adds up to 36. One row has 17, 3, and ____. What is the missing number?
16
Subtract 17 + 3 = 20 from 36: 36 − 20 = 16.
3. In a magic square, every row adds up to 35. One row has 14, 9, and ____. What is the missing number?
12
Subtract 14 + 9 = 23 from 35: 35 − 23 = 12.
4. In a magic square, every row adds up to 38. One row has 16, 11, and ____. What is the missing number?
11
Subtract 16 + 11 = 27 from 38: 38 − 27 = 11.
5. In a magic square, every row adds up to 38. One row has 11, 16, and ____. What is the missing number?
11
Subtract 11 + 16 = 27 from 38: 38 − 27 = 11.
6. In a magic square, every row adds up to 38. One row has 19, 17, and ____. What is the missing number?
2
Subtract 19 + 17 = 36 from 38: 38 − 36 = 2.
7. In a magic square, every row adds up to 29. One row has 20, 4, and ____. What is the missing number?
5
Subtract 20 + 4 = 24 from 29: 29 − 24 = 5.
8. In a magic square, every row adds up to 23. One row has 9, 12, and ____. What is the missing number?
2
Subtract 9 + 12 = 21 from 23: 23 − 21 = 2.
9. In a magic square, every row adds up to 23. One row has 9, 2, and ____. What is the missing number?
12
Subtract 9 + 2 = 11 from 23: 23 − 11 = 12.
10. In a magic square, every row adds up to 19. One row has 2, 3, and ____. What is the missing number?
14
Subtract 2 + 3 = 5 from 19: 19 − 5 = 14.
11. In a magic square, every row adds up to 40. One row has 9, 11, and ____. What is the missing number?
20
Subtract 9 + 11 = 20 from 40: 40 − 20 = 20.
12. In a magic square, every row adds up to 43. One row has 18, 15, and ____. What is the missing number?
10
Subtract 18 + 15 = 33 from 43: 43 − 33 = 10.

12 questions · Seed 104738 · Age guidance, not curriculum certification