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 37. One row has 11, 9, and ____. What is the missing number?
37 · 11 · 9 · Magic square missing values
2. In a magic square, every row adds up to 38. One row has 10, 14, and ____. What is the missing number?
38 · 10 · 14 · Magic square missing values
3. In a magic square, every row adds up to 27. One row has 6, 13, and ____. What is the missing number?
27 · 6 · 13 · Magic square missing values
4. In a magic square, every row adds up to 35. One row has 20, 6, and ____. What is the missing number?
35 · 20 · 6 · Magic square missing values
5. In a magic square, every row adds up to 22. One row has 5, 15, and ____. What is the missing number?
22 · 5 · 15 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 4, 20, and ____. What is the missing number?
30 · 4 · 20 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 3, 18, and ____. What is the missing number?
29 · 3 · 18 · Magic square missing values
8. In a magic square, every row adds up to 40. One row has 16, 15, and ____. What is the missing number?
40 · 16 · 15 · Magic square missing values
9. In a magic square, every row adds up to 31. One row has 7, 7, and ____. What is the missing number?
31 · 7 · 7 · Magic square missing values
10. In a magic square, every row adds up to 33. One row has 19, 4, and ____. What is the missing number?
33 · 19 · 4 · Magic square missing values
11. In a magic square, every row adds up to 40. One row has 15, 17, and ____. What is the missing number?
40 · 15 · 17 · Magic square missing values
12. In a magic square, every row adds up to 47. One row has 14, 19, and ____. What is the missing number?
47 · 14 · 19 · Magic square missing values

12 questions · Seed 56 · 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 37. One row has 11, 9, and ____. What is the missing number?
17
Subtract 11 + 9 = 20 from 37: 37 − 20 = 17.
2. In a magic square, every row adds up to 38. One row has 10, 14, and ____. What is the missing number?
14
Subtract 10 + 14 = 24 from 38: 38 − 24 = 14.
3. In a magic square, every row adds up to 27. One row has 6, 13, and ____. What is the missing number?
8
Subtract 6 + 13 = 19 from 27: 27 − 19 = 8.
4. In a magic square, every row adds up to 35. One row has 20, 6, and ____. What is the missing number?
9
Subtract 20 + 6 = 26 from 35: 35 − 26 = 9.
5. In a magic square, every row adds up to 22. One row has 5, 15, and ____. What is the missing number?
2
Subtract 5 + 15 = 20 from 22: 22 − 20 = 2.
6. In a magic square, every row adds up to 30. One row has 4, 20, and ____. What is the missing number?
6
Subtract 4 + 20 = 24 from 30: 30 − 24 = 6.
7. In a magic square, every row adds up to 29. One row has 3, 18, and ____. What is the missing number?
8
Subtract 3 + 18 = 21 from 29: 29 − 21 = 8.
8. In a magic square, every row adds up to 40. One row has 16, 15, and ____. What is the missing number?
9
Subtract 16 + 15 = 31 from 40: 40 − 31 = 9.
9. In a magic square, every row adds up to 31. One row has 7, 7, and ____. What is the missing number?
17
Subtract 7 + 7 = 14 from 31: 31 − 14 = 17.
10. In a magic square, every row adds up to 33. One row has 19, 4, and ____. What is the missing number?
10
Subtract 19 + 4 = 23 from 33: 33 − 23 = 10.
11. In a magic square, every row adds up to 40. One row has 15, 17, and ____. What is the missing number?
8
Subtract 15 + 17 = 32 from 40: 40 − 32 = 8.
12. In a magic square, every row adds up to 47. One row has 14, 19, and ____. What is the missing number?
14
Subtract 14 + 19 = 33 from 47: 47 − 33 = 14.

12 questions · Seed 56 · 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 37. One row has 11, 9, and ____. What is the missing number?
37 · 11 · 9 · Magic square missing values
2. In a magic square, every row adds up to 38. One row has 10, 14, and ____. What is the missing number?
38 · 10 · 14 · Magic square missing values
3. In a magic square, every row adds up to 27. One row has 6, 13, and ____. What is the missing number?
27 · 6 · 13 · Magic square missing values
4. In a magic square, every row adds up to 35. One row has 20, 6, and ____. What is the missing number?
35 · 20 · 6 · Magic square missing values
5. In a magic square, every row adds up to 22. One row has 5, 15, and ____. What is the missing number?
22 · 5 · 15 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 4, 20, and ____. What is the missing number?
30 · 4 · 20 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 3, 18, and ____. What is the missing number?
29 · 3 · 18 · Magic square missing values
8. In a magic square, every row adds up to 40. One row has 16, 15, and ____. What is the missing number?
40 · 16 · 15 · Magic square missing values
9. In a magic square, every row adds up to 31. One row has 7, 7, and ____. What is the missing number?
31 · 7 · 7 · Magic square missing values
10. In a magic square, every row adds up to 33. One row has 19, 4, and ____. What is the missing number?
33 · 19 · 4 · Magic square missing values
11. In a magic square, every row adds up to 40. One row has 15, 17, and ____. What is the missing number?
40 · 15 · 17 · Magic square missing values
12. In a magic square, every row adds up to 47. One row has 14, 19, and ____. What is the missing number?
47 · 14 · 19 · Magic square missing values

12 questions · Seed 56 · 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 37. One row has 11, 9, and ____. What is the missing number?
17
Subtract 11 + 9 = 20 from 37: 37 − 20 = 17.
2. In a magic square, every row adds up to 38. One row has 10, 14, and ____. What is the missing number?
14
Subtract 10 + 14 = 24 from 38: 38 − 24 = 14.
3. In a magic square, every row adds up to 27. One row has 6, 13, and ____. What is the missing number?
8
Subtract 6 + 13 = 19 from 27: 27 − 19 = 8.
4. In a magic square, every row adds up to 35. One row has 20, 6, and ____. What is the missing number?
9
Subtract 20 + 6 = 26 from 35: 35 − 26 = 9.
5. In a magic square, every row adds up to 22. One row has 5, 15, and ____. What is the missing number?
2
Subtract 5 + 15 = 20 from 22: 22 − 20 = 2.
6. In a magic square, every row adds up to 30. One row has 4, 20, and ____. What is the missing number?
6
Subtract 4 + 20 = 24 from 30: 30 − 24 = 6.
7. In a magic square, every row adds up to 29. One row has 3, 18, and ____. What is the missing number?
8
Subtract 3 + 18 = 21 from 29: 29 − 21 = 8.
8. In a magic square, every row adds up to 40. One row has 16, 15, and ____. What is the missing number?
9
Subtract 16 + 15 = 31 from 40: 40 − 31 = 9.
9. In a magic square, every row adds up to 31. One row has 7, 7, and ____. What is the missing number?
17
Subtract 7 + 7 = 14 from 31: 31 − 14 = 17.
10. In a magic square, every row adds up to 33. One row has 19, 4, and ____. What is the missing number?
10
Subtract 19 + 4 = 23 from 33: 33 − 23 = 10.
11. In a magic square, every row adds up to 40. One row has 15, 17, and ____. What is the missing number?
8
Subtract 15 + 17 = 32 from 40: 40 − 32 = 8.
12. In a magic square, every row adds up to 47. One row has 14, 19, and ____. What is the missing number?
14
Subtract 14 + 19 = 33 from 47: 47 − 33 = 14.

12 questions · Seed 56 · Age guidance, not curriculum certification