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 56. One row has 16, 20, and ____. What is the missing number?
56 · 16 · 20 · Magic square missing values
2. In a magic square, every row adds up to 49. One row has 17, 19, and ____. What is the missing number?
49 · 17 · 19 · Magic square missing values
3. In a magic square, every row adds up to 45. One row has 10, 18, and ____. What is the missing number?
45 · 10 · 18 · Magic square missing values
4. In a magic square, every row adds up to 39. One row has 2, 20, and ____. What is the missing number?
39 · 2 · 20 · Magic square missing values
5. In a magic square, every row adds up to 23. One row has 10, 4, and ____. What is the missing number?
23 · 10 · 4 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 18, 8, and ____. What is the missing number?
38 · 18 · 8 · Magic square missing values
7. In a magic square, every row adds up to 20. One row has 2, 4, and ____. What is the missing number?
20 · 2 · 4 · Magic square missing values
8. In a magic square, every row adds up to 17. One row has 8, 6, and ____. What is the missing number?
17 · 8 · 6 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 20, 5, and ____. What is the missing number?
36 · 20 · 5 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 20, 9, and ____. What is the missing number?
34 · 20 · 9 · Magic square missing values
11. In a magic square, every row adds up to 34. One row has 16, 8, and ____. What is the missing number?
34 · 16 · 8 · Magic square missing values
12. In a magic square, every row adds up to 17. One row has 4, 11, and ____. What is the missing number?
17 · 4 · 11 · Magic square missing values

12 questions · Seed 104735 · 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 56. One row has 16, 20, and ____. What is the missing number?
20
Subtract 16 + 20 = 36 from 56: 56 − 36 = 20.
2. In a magic square, every row adds up to 49. One row has 17, 19, and ____. What is the missing number?
13
Subtract 17 + 19 = 36 from 49: 49 − 36 = 13.
3. In a magic square, every row adds up to 45. One row has 10, 18, and ____. What is the missing number?
17
Subtract 10 + 18 = 28 from 45: 45 − 28 = 17.
4. In a magic square, every row adds up to 39. One row has 2, 20, and ____. What is the missing number?
17
Subtract 2 + 20 = 22 from 39: 39 − 22 = 17.
5. In a magic square, every row adds up to 23. One row has 10, 4, and ____. What is the missing number?
9
Subtract 10 + 4 = 14 from 23: 23 − 14 = 9.
6. In a magic square, every row adds up to 38. One row has 18, 8, and ____. What is the missing number?
12
Subtract 18 + 8 = 26 from 38: 38 − 26 = 12.
7. In a magic square, every row adds up to 20. One row has 2, 4, and ____. What is the missing number?
14
Subtract 2 + 4 = 6 from 20: 20 − 6 = 14.
8. In a magic square, every row adds up to 17. One row has 8, 6, and ____. What is the missing number?
3
Subtract 8 + 6 = 14 from 17: 17 − 14 = 3.
9. In a magic square, every row adds up to 36. One row has 20, 5, and ____. What is the missing number?
11
Subtract 20 + 5 = 25 from 36: 36 − 25 = 11.
10. In a magic square, every row adds up to 34. One row has 20, 9, and ____. What is the missing number?
5
Subtract 20 + 9 = 29 from 34: 34 − 29 = 5.
11. In a magic square, every row adds up to 34. One row has 16, 8, and ____. What is the missing number?
10
Subtract 16 + 8 = 24 from 34: 34 − 24 = 10.
12. In a magic square, every row adds up to 17. One row has 4, 11, and ____. What is the missing number?
2
Subtract 4 + 11 = 15 from 17: 17 − 15 = 2.

12 questions · Seed 104735 · 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 56. One row has 16, 20, and ____. What is the missing number?
56 · 16 · 20 · Magic square missing values
2. In a magic square, every row adds up to 49. One row has 17, 19, and ____. What is the missing number?
49 · 17 · 19 · Magic square missing values
3. In a magic square, every row adds up to 45. One row has 10, 18, and ____. What is the missing number?
45 · 10 · 18 · Magic square missing values
4. In a magic square, every row adds up to 39. One row has 2, 20, and ____. What is the missing number?
39 · 2 · 20 · Magic square missing values
5. In a magic square, every row adds up to 23. One row has 10, 4, and ____. What is the missing number?
23 · 10 · 4 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 18, 8, and ____. What is the missing number?
38 · 18 · 8 · Magic square missing values
7. In a magic square, every row adds up to 20. One row has 2, 4, and ____. What is the missing number?
20 · 2 · 4 · Magic square missing values
8. In a magic square, every row adds up to 17. One row has 8, 6, and ____. What is the missing number?
17 · 8 · 6 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 20, 5, and ____. What is the missing number?
36 · 20 · 5 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 20, 9, and ____. What is the missing number?
34 · 20 · 9 · Magic square missing values
11. In a magic square, every row adds up to 34. One row has 16, 8, and ____. What is the missing number?
34 · 16 · 8 · Magic square missing values
12. In a magic square, every row adds up to 17. One row has 4, 11, and ____. What is the missing number?
17 · 4 · 11 · Magic square missing values

12 questions · Seed 104735 · 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 56. One row has 16, 20, and ____. What is the missing number?
20
Subtract 16 + 20 = 36 from 56: 56 − 36 = 20.
2. In a magic square, every row adds up to 49. One row has 17, 19, and ____. What is the missing number?
13
Subtract 17 + 19 = 36 from 49: 49 − 36 = 13.
3. In a magic square, every row adds up to 45. One row has 10, 18, and ____. What is the missing number?
17
Subtract 10 + 18 = 28 from 45: 45 − 28 = 17.
4. In a magic square, every row adds up to 39. One row has 2, 20, and ____. What is the missing number?
17
Subtract 2 + 20 = 22 from 39: 39 − 22 = 17.
5. In a magic square, every row adds up to 23. One row has 10, 4, and ____. What is the missing number?
9
Subtract 10 + 4 = 14 from 23: 23 − 14 = 9.
6. In a magic square, every row adds up to 38. One row has 18, 8, and ____. What is the missing number?
12
Subtract 18 + 8 = 26 from 38: 38 − 26 = 12.
7. In a magic square, every row adds up to 20. One row has 2, 4, and ____. What is the missing number?
14
Subtract 2 + 4 = 6 from 20: 20 − 6 = 14.
8. In a magic square, every row adds up to 17. One row has 8, 6, and ____. What is the missing number?
3
Subtract 8 + 6 = 14 from 17: 17 − 14 = 3.
9. In a magic square, every row adds up to 36. One row has 20, 5, and ____. What is the missing number?
11
Subtract 20 + 5 = 25 from 36: 36 − 25 = 11.
10. In a magic square, every row adds up to 34. One row has 20, 9, and ____. What is the missing number?
5
Subtract 20 + 9 = 29 from 34: 34 − 29 = 5.
11. In a magic square, every row adds up to 34. One row has 16, 8, and ____. What is the missing number?
10
Subtract 16 + 8 = 24 from 34: 34 − 24 = 10.
12. In a magic square, every row adds up to 17. One row has 4, 11, and ____. What is the missing number?
2
Subtract 4 + 11 = 15 from 17: 17 − 15 = 2.

12 questions · Seed 104735 · Age guidance, not curriculum certification