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 23. One row has 3, 2, and ____. What is the missing number?
23 · 3 · 2 · Magic square missing values
2. In a magic square, every row adds up to 51. One row has 20, 15, and ____. What is the missing number?
51 · 20 · 15 · Magic square missing values
3. In a magic square, every row adds up to 31. One row has 15, 6, and ____. What is the missing number?
31 · 15 · 6 · Magic square missing values
4. In a magic square, every row adds up to 54. One row has 16, 20, and ____. What is the missing number?
54 · 16 · 20 · Magic square missing values
5. In a magic square, every row adds up to 39. One row has 3, 20, and ____. What is the missing number?
39 · 3 · 20 · Magic square missing values
6. In a magic square, every row adds up to 34. One row has 11, 19, and ____. What is the missing number?
34 · 11 · 19 · Magic square missing values
7. In a magic square, every row adds up to 34. One row has 10, 19, and ____. What is the missing number?
34 · 10 · 19 · Magic square missing values
8. In a magic square, every row adds up to 30. One row has 8, 14, and ____. What is the missing number?
30 · 8 · 14 · Magic square missing values
9. In a magic square, every row adds up to 52. One row has 19, 20, and ____. What is the missing number?
52 · 19 · 20 · Magic square missing values
10. In a magic square, every row adds up to 37. One row has 12, 11, and ____. What is the missing number?
37 · 12 · 11 · Magic square missing values
11. In a magic square, every row adds up to 24. One row has 6, 9, and ____. What is the missing number?
24 · 6 · 9 · Magic square missing values
12. In a magic square, every row adds up to 31. One row has 12, 9, and ____. What is the missing number?
31 · 12 · 9 · Magic square missing values

12 questions · Seed 67 · 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 23. One row has 3, 2, and ____. What is the missing number?
18
Subtract 3 + 2 = 5 from 23: 23 − 5 = 18.
2. In a magic square, every row adds up to 51. One row has 20, 15, and ____. What is the missing number?
16
Subtract 20 + 15 = 35 from 51: 51 − 35 = 16.
3. In a magic square, every row adds up to 31. One row has 15, 6, and ____. What is the missing number?
10
Subtract 15 + 6 = 21 from 31: 31 − 21 = 10.
4. In a magic square, every row adds up to 54. One row has 16, 20, and ____. What is the missing number?
18
Subtract 16 + 20 = 36 from 54: 54 − 36 = 18.
5. In a magic square, every row adds up to 39. One row has 3, 20, and ____. What is the missing number?
16
Subtract 3 + 20 = 23 from 39: 39 − 23 = 16.
6. In a magic square, every row adds up to 34. One row has 11, 19, and ____. What is the missing number?
4
Subtract 11 + 19 = 30 from 34: 34 − 30 = 4.
7. In a magic square, every row adds up to 34. One row has 10, 19, and ____. What is the missing number?
5
Subtract 10 + 19 = 29 from 34: 34 − 29 = 5.
8. In a magic square, every row adds up to 30. One row has 8, 14, and ____. What is the missing number?
8
Subtract 8 + 14 = 22 from 30: 30 − 22 = 8.
9. In a magic square, every row adds up to 52. One row has 19, 20, and ____. What is the missing number?
13
Subtract 19 + 20 = 39 from 52: 52 − 39 = 13.
10. In a magic square, every row adds up to 37. One row has 12, 11, and ____. What is the missing number?
14
Subtract 12 + 11 = 23 from 37: 37 − 23 = 14.
11. In a magic square, every row adds up to 24. One row has 6, 9, and ____. What is the missing number?
9
Subtract 6 + 9 = 15 from 24: 24 − 15 = 9.
12. In a magic square, every row adds up to 31. One row has 12, 9, and ____. What is the missing number?
10
Subtract 12 + 9 = 21 from 31: 31 − 21 = 10.

12 questions · Seed 67 · 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 23. One row has 3, 2, and ____. What is the missing number?
23 · 3 · 2 · Magic square missing values
2. In a magic square, every row adds up to 51. One row has 20, 15, and ____. What is the missing number?
51 · 20 · 15 · Magic square missing values
3. In a magic square, every row adds up to 31. One row has 15, 6, and ____. What is the missing number?
31 · 15 · 6 · Magic square missing values
4. In a magic square, every row adds up to 54. One row has 16, 20, and ____. What is the missing number?
54 · 16 · 20 · Magic square missing values
5. In a magic square, every row adds up to 39. One row has 3, 20, and ____. What is the missing number?
39 · 3 · 20 · Magic square missing values
6. In a magic square, every row adds up to 34. One row has 11, 19, and ____. What is the missing number?
34 · 11 · 19 · Magic square missing values
7. In a magic square, every row adds up to 34. One row has 10, 19, and ____. What is the missing number?
34 · 10 · 19 · Magic square missing values
8. In a magic square, every row adds up to 30. One row has 8, 14, and ____. What is the missing number?
30 · 8 · 14 · Magic square missing values
9. In a magic square, every row adds up to 52. One row has 19, 20, and ____. What is the missing number?
52 · 19 · 20 · Magic square missing values
10. In a magic square, every row adds up to 37. One row has 12, 11, and ____. What is the missing number?
37 · 12 · 11 · Magic square missing values
11. In a magic square, every row adds up to 24. One row has 6, 9, and ____. What is the missing number?
24 · 6 · 9 · Magic square missing values
12. In a magic square, every row adds up to 31. One row has 12, 9, and ____. What is the missing number?
31 · 12 · 9 · Magic square missing values

12 questions · Seed 67 · 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 23. One row has 3, 2, and ____. What is the missing number?
18
Subtract 3 + 2 = 5 from 23: 23 − 5 = 18.
2. In a magic square, every row adds up to 51. One row has 20, 15, and ____. What is the missing number?
16
Subtract 20 + 15 = 35 from 51: 51 − 35 = 16.
3. In a magic square, every row adds up to 31. One row has 15, 6, and ____. What is the missing number?
10
Subtract 15 + 6 = 21 from 31: 31 − 21 = 10.
4. In a magic square, every row adds up to 54. One row has 16, 20, and ____. What is the missing number?
18
Subtract 16 + 20 = 36 from 54: 54 − 36 = 18.
5. In a magic square, every row adds up to 39. One row has 3, 20, and ____. What is the missing number?
16
Subtract 3 + 20 = 23 from 39: 39 − 23 = 16.
6. In a magic square, every row adds up to 34. One row has 11, 19, and ____. What is the missing number?
4
Subtract 11 + 19 = 30 from 34: 34 − 30 = 4.
7. In a magic square, every row adds up to 34. One row has 10, 19, and ____. What is the missing number?
5
Subtract 10 + 19 = 29 from 34: 34 − 29 = 5.
8. In a magic square, every row adds up to 30. One row has 8, 14, and ____. What is the missing number?
8
Subtract 8 + 14 = 22 from 30: 30 − 22 = 8.
9. In a magic square, every row adds up to 52. One row has 19, 20, and ____. What is the missing number?
13
Subtract 19 + 20 = 39 from 52: 52 − 39 = 13.
10. In a magic square, every row adds up to 37. One row has 12, 11, and ____. What is the missing number?
14
Subtract 12 + 11 = 23 from 37: 37 − 23 = 14.
11. In a magic square, every row adds up to 24. One row has 6, 9, and ____. What is the missing number?
9
Subtract 6 + 9 = 15 from 24: 24 − 15 = 9.
12. In a magic square, every row adds up to 31. One row has 12, 9, and ____. What is the missing number?
10
Subtract 12 + 9 = 21 from 31: 31 − 21 = 10.

12 questions · Seed 67 · Age guidance, not curriculum certification