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 45. One row has 14, 18, and ____. What is the missing number?
45 · 14 · 18 · Magic square missing values
2. In a magic square, every row adds up to 39. One row has 8, 11, and ____. What is the missing number?
39 · 8 · 11 · Magic square missing values
3. In a magic square, every row adds up to 30. One row has 16, 3, and ____. What is the missing number?
30 · 16 · 3 · Magic square missing values
4. In a magic square, every row adds up to 26. One row has 6, 6, and ____. What is the missing number?
26 · 6 · 6 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 10, 14, and ____. What is the missing number?
30 · 10 · 14 · Magic square missing values
6. In a magic square, every row adds up to 29. One row has 18, 5, and ____. What is the missing number?
29 · 18 · 5 · Magic square missing values
7. In a magic square, every row adds up to 52. One row has 16, 16, and ____. What is the missing number?
52 · 16 · 16 · Magic square missing values
8. In a magic square, every row adds up to 38. One row has 17, 19, and ____. What is the missing number?
38 · 17 · 19 · Magic square missing values
9. In a magic square, every row adds up to 33. One row has 12, 4, and ____. What is the missing number?
33 · 12 · 4 · Magic square missing values
10. In a magic square, every row adds up to 28. One row has 4, 9, and ____. What is the missing number?
28 · 4 · 9 · Magic square missing values
11. In a magic square, every row adds up to 49. One row has 16, 14, and ____. What is the missing number?
49 · 16 · 14 · Magic square missing values
12. In a magic square, every row adds up to 50. One row has 20, 14, and ____. What is the missing number?
50 · 20 · 14 · Magic square missing values

12 questions · Seed 76 · 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 45. One row has 14, 18, and ____. What is the missing number?
13
Subtract 14 + 18 = 32 from 45: 45 − 32 = 13.
2. In a magic square, every row adds up to 39. One row has 8, 11, and ____. What is the missing number?
20
Subtract 8 + 11 = 19 from 39: 39 − 19 = 20.
3. In a magic square, every row adds up to 30. One row has 16, 3, and ____. What is the missing number?
11
Subtract 16 + 3 = 19 from 30: 30 − 19 = 11.
4. In a magic square, every row adds up to 26. One row has 6, 6, and ____. What is the missing number?
14
Subtract 6 + 6 = 12 from 26: 26 − 12 = 14.
5. In a magic square, every row adds up to 30. One row has 10, 14, and ____. What is the missing number?
6
Subtract 10 + 14 = 24 from 30: 30 − 24 = 6.
6. In a magic square, every row adds up to 29. One row has 18, 5, and ____. What is the missing number?
6
Subtract 18 + 5 = 23 from 29: 29 − 23 = 6.
7. In a magic square, every row adds up to 52. One row has 16, 16, and ____. What is the missing number?
20
Subtract 16 + 16 = 32 from 52: 52 − 32 = 20.
8. In a magic square, every row adds up to 38. One row has 17, 19, and ____. What is the missing number?
2
Subtract 17 + 19 = 36 from 38: 38 − 36 = 2.
9. In a magic square, every row adds up to 33. One row has 12, 4, and ____. What is the missing number?
17
Subtract 12 + 4 = 16 from 33: 33 − 16 = 17.
10. In a magic square, every row adds up to 28. One row has 4, 9, and ____. What is the missing number?
15
Subtract 4 + 9 = 13 from 28: 28 − 13 = 15.
11. In a magic square, every row adds up to 49. One row has 16, 14, and ____. What is the missing number?
19
Subtract 16 + 14 = 30 from 49: 49 − 30 = 19.
12. In a magic square, every row adds up to 50. One row has 20, 14, and ____. What is the missing number?
16
Subtract 20 + 14 = 34 from 50: 50 − 34 = 16.

12 questions · Seed 76 · 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 45. One row has 14, 18, and ____. What is the missing number?
45 · 14 · 18 · Magic square missing values
2. In a magic square, every row adds up to 39. One row has 8, 11, and ____. What is the missing number?
39 · 8 · 11 · Magic square missing values
3. In a magic square, every row adds up to 30. One row has 16, 3, and ____. What is the missing number?
30 · 16 · 3 · Magic square missing values
4. In a magic square, every row adds up to 26. One row has 6, 6, and ____. What is the missing number?
26 · 6 · 6 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 10, 14, and ____. What is the missing number?
30 · 10 · 14 · Magic square missing values
6. In a magic square, every row adds up to 29. One row has 18, 5, and ____. What is the missing number?
29 · 18 · 5 · Magic square missing values
7. In a magic square, every row adds up to 52. One row has 16, 16, and ____. What is the missing number?
52 · 16 · 16 · Magic square missing values
8. In a magic square, every row adds up to 38. One row has 17, 19, and ____. What is the missing number?
38 · 17 · 19 · Magic square missing values
9. In a magic square, every row adds up to 33. One row has 12, 4, and ____. What is the missing number?
33 · 12 · 4 · Magic square missing values
10. In a magic square, every row adds up to 28. One row has 4, 9, and ____. What is the missing number?
28 · 4 · 9 · Magic square missing values
11. In a magic square, every row adds up to 49. One row has 16, 14, and ____. What is the missing number?
49 · 16 · 14 · Magic square missing values
12. In a magic square, every row adds up to 50. One row has 20, 14, and ____. What is the missing number?
50 · 20 · 14 · Magic square missing values

12 questions · Seed 76 · 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 45. One row has 14, 18, and ____. What is the missing number?
13
Subtract 14 + 18 = 32 from 45: 45 − 32 = 13.
2. In a magic square, every row adds up to 39. One row has 8, 11, and ____. What is the missing number?
20
Subtract 8 + 11 = 19 from 39: 39 − 19 = 20.
3. In a magic square, every row adds up to 30. One row has 16, 3, and ____. What is the missing number?
11
Subtract 16 + 3 = 19 from 30: 30 − 19 = 11.
4. In a magic square, every row adds up to 26. One row has 6, 6, and ____. What is the missing number?
14
Subtract 6 + 6 = 12 from 26: 26 − 12 = 14.
5. In a magic square, every row adds up to 30. One row has 10, 14, and ____. What is the missing number?
6
Subtract 10 + 14 = 24 from 30: 30 − 24 = 6.
6. In a magic square, every row adds up to 29. One row has 18, 5, and ____. What is the missing number?
6
Subtract 18 + 5 = 23 from 29: 29 − 23 = 6.
7. In a magic square, every row adds up to 52. One row has 16, 16, and ____. What is the missing number?
20
Subtract 16 + 16 = 32 from 52: 52 − 32 = 20.
8. In a magic square, every row adds up to 38. One row has 17, 19, and ____. What is the missing number?
2
Subtract 17 + 19 = 36 from 38: 38 − 36 = 2.
9. In a magic square, every row adds up to 33. One row has 12, 4, and ____. What is the missing number?
17
Subtract 12 + 4 = 16 from 33: 33 − 16 = 17.
10. In a magic square, every row adds up to 28. One row has 4, 9, and ____. What is the missing number?
15
Subtract 4 + 9 = 13 from 28: 28 − 13 = 15.
11. In a magic square, every row adds up to 49. One row has 16, 14, and ____. What is the missing number?
19
Subtract 16 + 14 = 30 from 49: 49 − 30 = 19.
12. In a magic square, every row adds up to 50. One row has 20, 14, and ____. What is the missing number?
16
Subtract 20 + 14 = 34 from 50: 50 − 34 = 16.

12 questions · Seed 76 · Age guidance, not curriculum certification