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 32. One row has 14, 3, and ____. What is the missing number?
32 · 14 · 3 · Magic square missing values
2. In a magic square, every row adds up to 38. One row has 16, 16, and ____. What is the missing number?
38 · 16 · 16 · Magic square missing values
3. In a magic square, every row adds up to 41. One row has 14, 18, and ____. What is the missing number?
41 · 14 · 18 · Magic square missing values
4. In a magic square, every row adds up to 47. One row has 15, 19, and ____. What is the missing number?
47 · 15 · 19 · Magic square missing values
5. In a magic square, every row adds up to 28. One row has 9, 5, and ____. What is the missing number?
28 · 9 · 5 · Magic square missing values
6. In a magic square, every row adds up to 22. One row has 2, 4, and ____. What is the missing number?
22 · 2 · 4 · Magic square missing values
7. In a magic square, every row adds up to 30. One row has 2, 9, and ____. What is the missing number?
30 · 2 · 9 · Magic square missing values
8. In a magic square, every row adds up to 33. One row has 18, 6, and ____. What is the missing number?
33 · 18 · 6 · Magic square missing values
9. In a magic square, every row adds up to 17. One row has 3, 6, and ____. What is the missing number?
17 · 3 · 6 · Magic square missing values
10. In a magic square, every row adds up to 52. One row has 15, 18, and ____. What is the missing number?
52 · 15 · 18 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 5, 8, and ____. What is the missing number?
26 · 5 · 8 · Magic square missing values
12. In a magic square, every row adds up to 30. One row has 11, 15, and ____. What is the missing number?
30 · 11 · 15 · Magic square missing values

12 questions · Seed 79 · 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 32. One row has 14, 3, and ____. What is the missing number?
15
Subtract 14 + 3 = 17 from 32: 32 − 17 = 15.
2. In a magic square, every row adds up to 38. One row has 16, 16, and ____. What is the missing number?
6
Subtract 16 + 16 = 32 from 38: 38 − 32 = 6.
3. In a magic square, every row adds up to 41. One row has 14, 18, and ____. What is the missing number?
9
Subtract 14 + 18 = 32 from 41: 41 − 32 = 9.
4. In a magic square, every row adds up to 47. One row has 15, 19, and ____. What is the missing number?
13
Subtract 15 + 19 = 34 from 47: 47 − 34 = 13.
5. In a magic square, every row adds up to 28. One row has 9, 5, and ____. What is the missing number?
14
Subtract 9 + 5 = 14 from 28: 28 − 14 = 14.
6. In a magic square, every row adds up to 22. One row has 2, 4, and ____. What is the missing number?
16
Subtract 2 + 4 = 6 from 22: 22 − 6 = 16.
7. In a magic square, every row adds up to 30. One row has 2, 9, and ____. What is the missing number?
19
Subtract 2 + 9 = 11 from 30: 30 − 11 = 19.
8. In a magic square, every row adds up to 33. One row has 18, 6, and ____. What is the missing number?
9
Subtract 18 + 6 = 24 from 33: 33 − 24 = 9.
9. In a magic square, every row adds up to 17. One row has 3, 6, and ____. What is the missing number?
8
Subtract 3 + 6 = 9 from 17: 17 − 9 = 8.
10. In a magic square, every row adds up to 52. One row has 15, 18, and ____. What is the missing number?
19
Subtract 15 + 18 = 33 from 52: 52 − 33 = 19.
11. In a magic square, every row adds up to 26. One row has 5, 8, and ____. What is the missing number?
13
Subtract 5 + 8 = 13 from 26: 26 − 13 = 13.
12. In a magic square, every row adds up to 30. One row has 11, 15, and ____. What is the missing number?
4
Subtract 11 + 15 = 26 from 30: 30 − 26 = 4.

12 questions · Seed 79 · 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 32. One row has 14, 3, and ____. What is the missing number?
32 · 14 · 3 · Magic square missing values
2. In a magic square, every row adds up to 38. One row has 16, 16, and ____. What is the missing number?
38 · 16 · 16 · Magic square missing values
3. In a magic square, every row adds up to 41. One row has 14, 18, and ____. What is the missing number?
41 · 14 · 18 · Magic square missing values
4. In a magic square, every row adds up to 47. One row has 15, 19, and ____. What is the missing number?
47 · 15 · 19 · Magic square missing values
5. In a magic square, every row adds up to 28. One row has 9, 5, and ____. What is the missing number?
28 · 9 · 5 · Magic square missing values
6. In a magic square, every row adds up to 22. One row has 2, 4, and ____. What is the missing number?
22 · 2 · 4 · Magic square missing values
7. In a magic square, every row adds up to 30. One row has 2, 9, and ____. What is the missing number?
30 · 2 · 9 · Magic square missing values
8. In a magic square, every row adds up to 33. One row has 18, 6, and ____. What is the missing number?
33 · 18 · 6 · Magic square missing values
9. In a magic square, every row adds up to 17. One row has 3, 6, and ____. What is the missing number?
17 · 3 · 6 · Magic square missing values
10. In a magic square, every row adds up to 52. One row has 15, 18, and ____. What is the missing number?
52 · 15 · 18 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 5, 8, and ____. What is the missing number?
26 · 5 · 8 · Magic square missing values
12. In a magic square, every row adds up to 30. One row has 11, 15, and ____. What is the missing number?
30 · 11 · 15 · Magic square missing values

12 questions · Seed 79 · 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 32. One row has 14, 3, and ____. What is the missing number?
15
Subtract 14 + 3 = 17 from 32: 32 − 17 = 15.
2. In a magic square, every row adds up to 38. One row has 16, 16, and ____. What is the missing number?
6
Subtract 16 + 16 = 32 from 38: 38 − 32 = 6.
3. In a magic square, every row adds up to 41. One row has 14, 18, and ____. What is the missing number?
9
Subtract 14 + 18 = 32 from 41: 41 − 32 = 9.
4. In a magic square, every row adds up to 47. One row has 15, 19, and ____. What is the missing number?
13
Subtract 15 + 19 = 34 from 47: 47 − 34 = 13.
5. In a magic square, every row adds up to 28. One row has 9, 5, and ____. What is the missing number?
14
Subtract 9 + 5 = 14 from 28: 28 − 14 = 14.
6. In a magic square, every row adds up to 22. One row has 2, 4, and ____. What is the missing number?
16
Subtract 2 + 4 = 6 from 22: 22 − 6 = 16.
7. In a magic square, every row adds up to 30. One row has 2, 9, and ____. What is the missing number?
19
Subtract 2 + 9 = 11 from 30: 30 − 11 = 19.
8. In a magic square, every row adds up to 33. One row has 18, 6, and ____. What is the missing number?
9
Subtract 18 + 6 = 24 from 33: 33 − 24 = 9.
9. In a magic square, every row adds up to 17. One row has 3, 6, and ____. What is the missing number?
8
Subtract 3 + 6 = 9 from 17: 17 − 9 = 8.
10. In a magic square, every row adds up to 52. One row has 15, 18, and ____. What is the missing number?
19
Subtract 15 + 18 = 33 from 52: 52 − 33 = 19.
11. In a magic square, every row adds up to 26. One row has 5, 8, and ____. What is the missing number?
13
Subtract 5 + 8 = 13 from 26: 26 − 13 = 13.
12. In a magic square, every row adds up to 30. One row has 11, 15, and ____. What is the missing number?
4
Subtract 11 + 15 = 26 from 30: 30 − 26 = 4.

12 questions · Seed 79 · Age guidance, not curriculum certification