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 44. One row has 18, 16, and ____. What is the missing number?
44 · 18 · 16 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 3, 15, and ____. What is the missing number?
34 · 3 · 15 · Magic square missing values
3. In a magic square, every row adds up to 22. One row has 7, 9, and ____. What is the missing number?
22 · 7 · 9 · Magic square missing values
4. In a magic square, every row adds up to 30. One row has 8, 11, and ____. What is the missing number?
30 · 8 · 11 · Magic square missing values
5. In a magic square, every row adds up to 25. One row has 2, 9, and ____. What is the missing number?
25 · 2 · 9 · Magic square missing values
6. In a magic square, every row adds up to 36. One row has 9, 20, and ____. What is the missing number?
36 · 9 · 20 · Magic square missing values
7. In a magic square, every row adds up to 18. One row has 2, 5, and ____. What is the missing number?
18 · 2 · 5 · Magic square missing values
8. In a magic square, every row adds up to 28. One row has 10, 9, and ____. What is the missing number?
28 · 10 · 9 · Magic square missing values
9. In a magic square, every row adds up to 31. One row has 13, 3, and ____. What is the missing number?
31 · 13 · 3 · Magic square missing values
10. In a magic square, every row adds up to 50. One row has 13, 18, and ____. What is the missing number?
50 · 13 · 18 · Magic square missing values
11. In a magic square, every row adds up to 40. One row has 17, 14, and ____. What is the missing number?
40 · 17 · 14 · Magic square missing values
12. In a magic square, every row adds up to 51. One row has 17, 15, and ____. What is the missing number?
51 · 17 · 15 · Magic square missing values

12 questions · Seed 44 · 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 44. One row has 18, 16, and ____. What is the missing number?
10
Subtract 18 + 16 = 34 from 44: 44 − 34 = 10.
2. In a magic square, every row adds up to 34. One row has 3, 15, and ____. What is the missing number?
16
Subtract 3 + 15 = 18 from 34: 34 − 18 = 16.
3. In a magic square, every row adds up to 22. One row has 7, 9, and ____. What is the missing number?
6
Subtract 7 + 9 = 16 from 22: 22 − 16 = 6.
4. In a magic square, every row adds up to 30. One row has 8, 11, and ____. What is the missing number?
11
Subtract 8 + 11 = 19 from 30: 30 − 19 = 11.
5. In a magic square, every row adds up to 25. One row has 2, 9, and ____. What is the missing number?
14
Subtract 2 + 9 = 11 from 25: 25 − 11 = 14.
6. In a magic square, every row adds up to 36. One row has 9, 20, and ____. What is the missing number?
7
Subtract 9 + 20 = 29 from 36: 36 − 29 = 7.
7. In a magic square, every row adds up to 18. One row has 2, 5, and ____. What is the missing number?
11
Subtract 2 + 5 = 7 from 18: 18 − 7 = 11.
8. In a magic square, every row adds up to 28. One row has 10, 9, and ____. What is the missing number?
9
Subtract 10 + 9 = 19 from 28: 28 − 19 = 9.
9. In a magic square, every row adds up to 31. One row has 13, 3, and ____. What is the missing number?
15
Subtract 13 + 3 = 16 from 31: 31 − 16 = 15.
10. In a magic square, every row adds up to 50. One row has 13, 18, and ____. What is the missing number?
19
Subtract 13 + 18 = 31 from 50: 50 − 31 = 19.
11. In a magic square, every row adds up to 40. One row has 17, 14, and ____. What is the missing number?
9
Subtract 17 + 14 = 31 from 40: 40 − 31 = 9.
12. In a magic square, every row adds up to 51. One row has 17, 15, and ____. What is the missing number?
19
Subtract 17 + 15 = 32 from 51: 51 − 32 = 19.

12 questions · Seed 44 · 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 44. One row has 18, 16, and ____. What is the missing number?
44 · 18 · 16 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 3, 15, and ____. What is the missing number?
34 · 3 · 15 · Magic square missing values
3. In a magic square, every row adds up to 22. One row has 7, 9, and ____. What is the missing number?
22 · 7 · 9 · Magic square missing values
4. In a magic square, every row adds up to 30. One row has 8, 11, and ____. What is the missing number?
30 · 8 · 11 · Magic square missing values
5. In a magic square, every row adds up to 25. One row has 2, 9, and ____. What is the missing number?
25 · 2 · 9 · Magic square missing values
6. In a magic square, every row adds up to 36. One row has 9, 20, and ____. What is the missing number?
36 · 9 · 20 · Magic square missing values
7. In a magic square, every row adds up to 18. One row has 2, 5, and ____. What is the missing number?
18 · 2 · 5 · Magic square missing values
8. In a magic square, every row adds up to 28. One row has 10, 9, and ____. What is the missing number?
28 · 10 · 9 · Magic square missing values
9. In a magic square, every row adds up to 31. One row has 13, 3, and ____. What is the missing number?
31 · 13 · 3 · Magic square missing values
10. In a magic square, every row adds up to 50. One row has 13, 18, and ____. What is the missing number?
50 · 13 · 18 · Magic square missing values
11. In a magic square, every row adds up to 40. One row has 17, 14, and ____. What is the missing number?
40 · 17 · 14 · Magic square missing values
12. In a magic square, every row adds up to 51. One row has 17, 15, and ____. What is the missing number?
51 · 17 · 15 · Magic square missing values

12 questions · Seed 44 · 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 44. One row has 18, 16, and ____. What is the missing number?
10
Subtract 18 + 16 = 34 from 44: 44 − 34 = 10.
2. In a magic square, every row adds up to 34. One row has 3, 15, and ____. What is the missing number?
16
Subtract 3 + 15 = 18 from 34: 34 − 18 = 16.
3. In a magic square, every row adds up to 22. One row has 7, 9, and ____. What is the missing number?
6
Subtract 7 + 9 = 16 from 22: 22 − 16 = 6.
4. In a magic square, every row adds up to 30. One row has 8, 11, and ____. What is the missing number?
11
Subtract 8 + 11 = 19 from 30: 30 − 19 = 11.
5. In a magic square, every row adds up to 25. One row has 2, 9, and ____. What is the missing number?
14
Subtract 2 + 9 = 11 from 25: 25 − 11 = 14.
6. In a magic square, every row adds up to 36. One row has 9, 20, and ____. What is the missing number?
7
Subtract 9 + 20 = 29 from 36: 36 − 29 = 7.
7. In a magic square, every row adds up to 18. One row has 2, 5, and ____. What is the missing number?
11
Subtract 2 + 5 = 7 from 18: 18 − 7 = 11.
8. In a magic square, every row adds up to 28. One row has 10, 9, and ____. What is the missing number?
9
Subtract 10 + 9 = 19 from 28: 28 − 19 = 9.
9. In a magic square, every row adds up to 31. One row has 13, 3, and ____. What is the missing number?
15
Subtract 13 + 3 = 16 from 31: 31 − 16 = 15.
10. In a magic square, every row adds up to 50. One row has 13, 18, and ____. What is the missing number?
19
Subtract 13 + 18 = 31 from 50: 50 − 31 = 19.
11. In a magic square, every row adds up to 40. One row has 17, 14, and ____. What is the missing number?
9
Subtract 17 + 14 = 31 from 40: 40 − 31 = 9.
12. In a magic square, every row adds up to 51. One row has 17, 15, and ____. What is the missing number?
19
Subtract 17 + 15 = 32 from 51: 51 − 32 = 19.

12 questions · Seed 44 · Age guidance, not curriculum certification