ReasoningAges 7-9

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 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 43. One row has 16, 15, and ____. What is the missing number?
43 · 16 · 15 · Magic square missing values
2. In a magic square, every row adds up to 51. One row has 17, 14, and ____. What is the missing number?
51 · 17 · 14 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 15, 4, and ____. What is the missing number?
24 · 15 · 4 · Magic square missing values
4. In a magic square, every row adds up to 37. One row has 13, 11, and ____. What is the missing number?
37 · 13 · 11 · Magic square missing values
5. In a magic square, every row adds up to 23. One row has 4, 15, and ____. What is the missing number?
23 · 4 · 15 · Magic square missing values
6. In a magic square, every row adds up to 31. One row has 14, 6, and ____. What is the missing number?
31 · 14 · 6 · Magic square missing values
7. In a magic square, every row adds up to 37. One row has 17, 2, and ____. What is the missing number?
37 · 17 · 2 · Magic square missing values
8. In a magic square, every row adds up to 52. One row has 13, 19, and ____. What is the missing number?
52 · 13 · 19 · Magic square missing values
9. In a magic square, every row adds up to 25. One row has 11, 4, and ____. What is the missing number?
25 · 11 · 4 · Magic square missing values
10. In a magic square, every row adds up to 19. One row has 7, 10, and ____. What is the missing number?
19 · 7 · 10 · Magic square missing values
11. In a magic square, every row adds up to 36. One row has 11, 12, and ____. What is the missing number?
36 · 11 · 12 · Magic square missing values
12. In a magic square, every row adds up to 49. One row has 16, 15, and ____. What is the missing number?
49 · 16 · 15 · Magic square missing values

12 questions · Seed 55 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 43. One row has 16, 15, and ____. What is the missing number?
12
Subtract 16 + 15 = 31 from 43: 43 − 31 = 12.
2. In a magic square, every row adds up to 51. One row has 17, 14, and ____. What is the missing number?
20
Subtract 17 + 14 = 31 from 51: 51 − 31 = 20.
3. In a magic square, every row adds up to 24. One row has 15, 4, and ____. What is the missing number?
5
Subtract 15 + 4 = 19 from 24: 24 − 19 = 5.
4. In a magic square, every row adds up to 37. One row has 13, 11, and ____. What is the missing number?
13
Subtract 13 + 11 = 24 from 37: 37 − 24 = 13.
5. In a magic square, every row adds up to 23. One row has 4, 15, and ____. What is the missing number?
4
Subtract 4 + 15 = 19 from 23: 23 − 19 = 4.
6. In a magic square, every row adds up to 31. One row has 14, 6, and ____. What is the missing number?
11
Subtract 14 + 6 = 20 from 31: 31 − 20 = 11.
7. In a magic square, every row adds up to 37. One row has 17, 2, and ____. What is the missing number?
18
Subtract 17 + 2 = 19 from 37: 37 − 19 = 18.
8. In a magic square, every row adds up to 52. One row has 13, 19, and ____. What is the missing number?
20
Subtract 13 + 19 = 32 from 52: 52 − 32 = 20.
9. In a magic square, every row adds up to 25. One row has 11, 4, and ____. What is the missing number?
10
Subtract 11 + 4 = 15 from 25: 25 − 15 = 10.
10. In a magic square, every row adds up to 19. One row has 7, 10, and ____. What is the missing number?
2
Subtract 7 + 10 = 17 from 19: 19 − 17 = 2.
11. In a magic square, every row adds up to 36. One row has 11, 12, and ____. What is the missing number?
13
Subtract 11 + 12 = 23 from 36: 36 − 23 = 13.
12. In a magic square, every row adds up to 49. One row has 16, 15, and ____. What is the missing number?
18
Subtract 16 + 15 = 31 from 49: 49 − 31 = 18.

12 questions · Seed 55 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 43. One row has 16, 15, and ____. What is the missing number?
43 · 16 · 15 · Magic square missing values
2. In a magic square, every row adds up to 51. One row has 17, 14, and ____. What is the missing number?
51 · 17 · 14 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 15, 4, and ____. What is the missing number?
24 · 15 · 4 · Magic square missing values
4. In a magic square, every row adds up to 37. One row has 13, 11, and ____. What is the missing number?
37 · 13 · 11 · Magic square missing values
5. In a magic square, every row adds up to 23. One row has 4, 15, and ____. What is the missing number?
23 · 4 · 15 · Magic square missing values
6. In a magic square, every row adds up to 31. One row has 14, 6, and ____. What is the missing number?
31 · 14 · 6 · Magic square missing values
7. In a magic square, every row adds up to 37. One row has 17, 2, and ____. What is the missing number?
37 · 17 · 2 · Magic square missing values
8. In a magic square, every row adds up to 52. One row has 13, 19, and ____. What is the missing number?
52 · 13 · 19 · Magic square missing values
9. In a magic square, every row adds up to 25. One row has 11, 4, and ____. What is the missing number?
25 · 11 · 4 · Magic square missing values
10. In a magic square, every row adds up to 19. One row has 7, 10, and ____. What is the missing number?
19 · 7 · 10 · Magic square missing values
11. In a magic square, every row adds up to 36. One row has 11, 12, and ____. What is the missing number?
36 · 11 · 12 · Magic square missing values
12. In a magic square, every row adds up to 49. One row has 16, 15, and ____. What is the missing number?
49 · 16 · 15 · Magic square missing values

12 questions · Seed 55 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 43. One row has 16, 15, and ____. What is the missing number?
12
Subtract 16 + 15 = 31 from 43: 43 − 31 = 12.
2. In a magic square, every row adds up to 51. One row has 17, 14, and ____. What is the missing number?
20
Subtract 17 + 14 = 31 from 51: 51 − 31 = 20.
3. In a magic square, every row adds up to 24. One row has 15, 4, and ____. What is the missing number?
5
Subtract 15 + 4 = 19 from 24: 24 − 19 = 5.
4. In a magic square, every row adds up to 37. One row has 13, 11, and ____. What is the missing number?
13
Subtract 13 + 11 = 24 from 37: 37 − 24 = 13.
5. In a magic square, every row adds up to 23. One row has 4, 15, and ____. What is the missing number?
4
Subtract 4 + 15 = 19 from 23: 23 − 19 = 4.
6. In a magic square, every row adds up to 31. One row has 14, 6, and ____. What is the missing number?
11
Subtract 14 + 6 = 20 from 31: 31 − 20 = 11.
7. In a magic square, every row adds up to 37. One row has 17, 2, and ____. What is the missing number?
18
Subtract 17 + 2 = 19 from 37: 37 − 19 = 18.
8. In a magic square, every row adds up to 52. One row has 13, 19, and ____. What is the missing number?
20
Subtract 13 + 19 = 32 from 52: 52 − 32 = 20.
9. In a magic square, every row adds up to 25. One row has 11, 4, and ____. What is the missing number?
10
Subtract 11 + 4 = 15 from 25: 25 − 15 = 10.
10. In a magic square, every row adds up to 19. One row has 7, 10, and ____. What is the missing number?
2
Subtract 7 + 10 = 17 from 19: 19 − 17 = 2.
11. In a magic square, every row adds up to 36. One row has 11, 12, and ____. What is the missing number?
13
Subtract 11 + 12 = 23 from 36: 36 − 23 = 13.
12. In a magic square, every row adds up to 49. One row has 16, 15, and ____. What is the missing number?
18
Subtract 16 + 15 = 31 from 49: 49 − 31 = 18.

12 questions · Seed 55 · Age guidance, not curriculum certification