ReasoningAges 10-12

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 10-12

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 16. One row has 6, 2, and ____. What is the missing number?
16 · 6 · 2 · Magic square missing values
2. In a magic square, every row adds up to 52. One row has 15, 20, and ____. What is the missing number?
52 · 15 · 20 · Magic square missing values
3. In a magic square, every row adds up to 51. One row has 19, 15, and ____. What is the missing number?
51 · 19 · 15 · Magic square missing values
4. In a magic square, every row adds up to 38. One row has 16, 17, and ____. What is the missing number?
38 · 16 · 17 · Magic square missing values
5. In a magic square, every row adds up to 37. One row has 14, 13, and ____. What is the missing number?
37 · 14 · 13 · Magic square missing values
6. In a magic square, every row adds up to 34. One row has 10, 13, and ____. What is the missing number?
34 · 10 · 13 · Magic square missing values
7. In a magic square, every row adds up to 28. One row has 7, 2, and ____. What is the missing number?
28 · 7 · 2 · Magic square missing values
8. In a magic square, every row adds up to 38. One row has 17, 7, and ____. What is the missing number?
38 · 17 · 7 · Magic square missing values
9. In a magic square, every row adds up to 39. One row has 13, 19, and ____. What is the missing number?
39 · 13 · 19 · Magic square missing values
10. In a magic square, every row adds up to 25. One row has 10, 9, and ____. What is the missing number?
25 · 10 · 9 · Magic square missing values
11. In a magic square, every row adds up to 39. One row has 3, 16, and ____. What is the missing number?
39 · 3 · 16 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 20, 12, and ____. What is the missing number?
39 · 20 · 12 · Magic square missing values

12 questions · Seed 88 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 10-12

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 16. One row has 6, 2, and ____. What is the missing number?
8
Subtract 6 + 2 = 8 from 16: 16 − 8 = 8.
2. In a magic square, every row adds up to 52. One row has 15, 20, and ____. What is the missing number?
17
Subtract 15 + 20 = 35 from 52: 52 − 35 = 17.
3. In a magic square, every row adds up to 51. One row has 19, 15, and ____. What is the missing number?
17
Subtract 19 + 15 = 34 from 51: 51 − 34 = 17.
4. In a magic square, every row adds up to 38. One row has 16, 17, and ____. What is the missing number?
5
Subtract 16 + 17 = 33 from 38: 38 − 33 = 5.
5. In a magic square, every row adds up to 37. One row has 14, 13, and ____. What is the missing number?
10
Subtract 14 + 13 = 27 from 37: 37 − 27 = 10.
6. In a magic square, every row adds up to 34. One row has 10, 13, and ____. What is the missing number?
11
Subtract 10 + 13 = 23 from 34: 34 − 23 = 11.
7. In a magic square, every row adds up to 28. One row has 7, 2, and ____. What is the missing number?
19
Subtract 7 + 2 = 9 from 28: 28 − 9 = 19.
8. In a magic square, every row adds up to 38. One row has 17, 7, and ____. What is the missing number?
14
Subtract 17 + 7 = 24 from 38: 38 − 24 = 14.
9. In a magic square, every row adds up to 39. One row has 13, 19, and ____. What is the missing number?
7
Subtract 13 + 19 = 32 from 39: 39 − 32 = 7.
10. In a magic square, every row adds up to 25. One row has 10, 9, and ____. What is the missing number?
6
Subtract 10 + 9 = 19 from 25: 25 − 19 = 6.
11. In a magic square, every row adds up to 39. One row has 3, 16, and ____. What is the missing number?
20
Subtract 3 + 16 = 19 from 39: 39 − 19 = 20.
12. In a magic square, every row adds up to 39. One row has 20, 12, and ____. What is the missing number?
7
Subtract 20 + 12 = 32 from 39: 39 − 32 = 7.

12 questions · Seed 88 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 10-12

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 16. One row has 6, 2, and ____. What is the missing number?
16 · 6 · 2 · Magic square missing values
2. In a magic square, every row adds up to 52. One row has 15, 20, and ____. What is the missing number?
52 · 15 · 20 · Magic square missing values
3. In a magic square, every row adds up to 51. One row has 19, 15, and ____. What is the missing number?
51 · 19 · 15 · Magic square missing values
4. In a magic square, every row adds up to 38. One row has 16, 17, and ____. What is the missing number?
38 · 16 · 17 · Magic square missing values
5. In a magic square, every row adds up to 37. One row has 14, 13, and ____. What is the missing number?
37 · 14 · 13 · Magic square missing values
6. In a magic square, every row adds up to 34. One row has 10, 13, and ____. What is the missing number?
34 · 10 · 13 · Magic square missing values
7. In a magic square, every row adds up to 28. One row has 7, 2, and ____. What is the missing number?
28 · 7 · 2 · Magic square missing values
8. In a magic square, every row adds up to 38. One row has 17, 7, and ____. What is the missing number?
38 · 17 · 7 · Magic square missing values
9. In a magic square, every row adds up to 39. One row has 13, 19, and ____. What is the missing number?
39 · 13 · 19 · Magic square missing values
10. In a magic square, every row adds up to 25. One row has 10, 9, and ____. What is the missing number?
25 · 10 · 9 · Magic square missing values
11. In a magic square, every row adds up to 39. One row has 3, 16, and ____. What is the missing number?
39 · 3 · 16 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 20, 12, and ____. What is the missing number?
39 · 20 · 12 · Magic square missing values

12 questions · Seed 88 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 10-12

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 16. One row has 6, 2, and ____. What is the missing number?
8
Subtract 6 + 2 = 8 from 16: 16 − 8 = 8.
2. In a magic square, every row adds up to 52. One row has 15, 20, and ____. What is the missing number?
17
Subtract 15 + 20 = 35 from 52: 52 − 35 = 17.
3. In a magic square, every row adds up to 51. One row has 19, 15, and ____. What is the missing number?
17
Subtract 19 + 15 = 34 from 51: 51 − 34 = 17.
4. In a magic square, every row adds up to 38. One row has 16, 17, and ____. What is the missing number?
5
Subtract 16 + 17 = 33 from 38: 38 − 33 = 5.
5. In a magic square, every row adds up to 37. One row has 14, 13, and ____. What is the missing number?
10
Subtract 14 + 13 = 27 from 37: 37 − 27 = 10.
6. In a magic square, every row adds up to 34. One row has 10, 13, and ____. What is the missing number?
11
Subtract 10 + 13 = 23 from 34: 34 − 23 = 11.
7. In a magic square, every row adds up to 28. One row has 7, 2, and ____. What is the missing number?
19
Subtract 7 + 2 = 9 from 28: 28 − 9 = 19.
8. In a magic square, every row adds up to 38. One row has 17, 7, and ____. What is the missing number?
14
Subtract 17 + 7 = 24 from 38: 38 − 24 = 14.
9. In a magic square, every row adds up to 39. One row has 13, 19, and ____. What is the missing number?
7
Subtract 13 + 19 = 32 from 39: 39 − 32 = 7.
10. In a magic square, every row adds up to 25. One row has 10, 9, and ____. What is the missing number?
6
Subtract 10 + 9 = 19 from 25: 25 − 19 = 6.
11. In a magic square, every row adds up to 39. One row has 3, 16, and ____. What is the missing number?
20
Subtract 3 + 16 = 19 from 39: 39 − 19 = 20.
12. In a magic square, every row adds up to 39. One row has 20, 12, and ____. What is the missing number?
7
Subtract 20 + 12 = 32 from 39: 39 − 32 = 7.

12 questions · Seed 88 · Age guidance, not curriculum certification