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 39. One row has 14, 9, and ____. What is the missing number?
39 · 14 · 9 · Magic square missing values
2. In a magic square, every row adds up to 43. One row has 20, 16, and ____. What is the missing number?
43 · 20 · 16 · Magic square missing values
3. In a magic square, every row adds up to 23. One row has 2, 18, and ____. What is the missing number?
23 · 2 · 18 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 11, 8, and ____. What is the missing number?
31 · 11 · 8 · Magic square missing values
5. In a magic square, every row adds up to 37. One row has 7, 16, and ____. What is the missing number?
37 · 7 · 16 · Magic square missing values
6. In a magic square, every row adds up to 48. One row has 20, 12, and ____. What is the missing number?
48 · 20 · 12 · Magic square missing values
7. In a magic square, every row adds up to 34. One row has 2, 15, and ____. What is the missing number?
34 · 2 · 15 · Magic square missing values
8. In a magic square, every row adds up to 37. One row has 12, 6, and ____. What is the missing number?
37 · 12 · 6 · Magic square missing values
9. In a magic square, every row adds up to 35. One row has 17, 12, and ____. What is the missing number?
35 · 17 · 12 · Magic square missing values
10. In a magic square, every row adds up to 52. One row has 17, 16, and ____. What is the missing number?
52 · 17 · 16 · Magic square missing values
11. In a magic square, every row adds up to 25. One row has 2, 7, and ____. What is the missing number?
25 · 2 · 7 · Magic square missing values
12. In a magic square, every row adds up to 30. One row has 4, 18, and ____. What is the missing number?
30 · 4 · 18 · Magic square missing values

12 questions · Seed 104747 · 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 39. One row has 14, 9, and ____. What is the missing number?
16
Subtract 14 + 9 = 23 from 39: 39 − 23 = 16.
2. In a magic square, every row adds up to 43. One row has 20, 16, and ____. What is the missing number?
7
Subtract 20 + 16 = 36 from 43: 43 − 36 = 7.
3. In a magic square, every row adds up to 23. One row has 2, 18, and ____. What is the missing number?
3
Subtract 2 + 18 = 20 from 23: 23 − 20 = 3.
4. In a magic square, every row adds up to 31. One row has 11, 8, and ____. What is the missing number?
12
Subtract 11 + 8 = 19 from 31: 31 − 19 = 12.
5. In a magic square, every row adds up to 37. One row has 7, 16, and ____. What is the missing number?
14
Subtract 7 + 16 = 23 from 37: 37 − 23 = 14.
6. In a magic square, every row adds up to 48. One row has 20, 12, and ____. What is the missing number?
16
Subtract 20 + 12 = 32 from 48: 48 − 32 = 16.
7. In a magic square, every row adds up to 34. One row has 2, 15, and ____. What is the missing number?
17
Subtract 2 + 15 = 17 from 34: 34 − 17 = 17.
8. In a magic square, every row adds up to 37. One row has 12, 6, and ____. What is the missing number?
19
Subtract 12 + 6 = 18 from 37: 37 − 18 = 19.
9. In a magic square, every row adds up to 35. One row has 17, 12, and ____. What is the missing number?
6
Subtract 17 + 12 = 29 from 35: 35 − 29 = 6.
10. In a magic square, every row adds up to 52. One row has 17, 16, and ____. What is the missing number?
19
Subtract 17 + 16 = 33 from 52: 52 − 33 = 19.
11. In a magic square, every row adds up to 25. One row has 2, 7, and ____. What is the missing number?
16
Subtract 2 + 7 = 9 from 25: 25 − 9 = 16.
12. In a magic square, every row adds up to 30. One row has 4, 18, and ____. What is the missing number?
8
Subtract 4 + 18 = 22 from 30: 30 − 22 = 8.

12 questions · Seed 104747 · 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 39. One row has 14, 9, and ____. What is the missing number?
39 · 14 · 9 · Magic square missing values
2. In a magic square, every row adds up to 43. One row has 20, 16, and ____. What is the missing number?
43 · 20 · 16 · Magic square missing values
3. In a magic square, every row adds up to 23. One row has 2, 18, and ____. What is the missing number?
23 · 2 · 18 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 11, 8, and ____. What is the missing number?
31 · 11 · 8 · Magic square missing values
5. In a magic square, every row adds up to 37. One row has 7, 16, and ____. What is the missing number?
37 · 7 · 16 · Magic square missing values
6. In a magic square, every row adds up to 48. One row has 20, 12, and ____. What is the missing number?
48 · 20 · 12 · Magic square missing values
7. In a magic square, every row adds up to 34. One row has 2, 15, and ____. What is the missing number?
34 · 2 · 15 · Magic square missing values
8. In a magic square, every row adds up to 37. One row has 12, 6, and ____. What is the missing number?
37 · 12 · 6 · Magic square missing values
9. In a magic square, every row adds up to 35. One row has 17, 12, and ____. What is the missing number?
35 · 17 · 12 · Magic square missing values
10. In a magic square, every row adds up to 52. One row has 17, 16, and ____. What is the missing number?
52 · 17 · 16 · Magic square missing values
11. In a magic square, every row adds up to 25. One row has 2, 7, and ____. What is the missing number?
25 · 2 · 7 · Magic square missing values
12. In a magic square, every row adds up to 30. One row has 4, 18, and ____. What is the missing number?
30 · 4 · 18 · Magic square missing values

12 questions · Seed 104747 · 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 39. One row has 14, 9, and ____. What is the missing number?
16
Subtract 14 + 9 = 23 from 39: 39 − 23 = 16.
2. In a magic square, every row adds up to 43. One row has 20, 16, and ____. What is the missing number?
7
Subtract 20 + 16 = 36 from 43: 43 − 36 = 7.
3. In a magic square, every row adds up to 23. One row has 2, 18, and ____. What is the missing number?
3
Subtract 2 + 18 = 20 from 23: 23 − 20 = 3.
4. In a magic square, every row adds up to 31. One row has 11, 8, and ____. What is the missing number?
12
Subtract 11 + 8 = 19 from 31: 31 − 19 = 12.
5. In a magic square, every row adds up to 37. One row has 7, 16, and ____. What is the missing number?
14
Subtract 7 + 16 = 23 from 37: 37 − 23 = 14.
6. In a magic square, every row adds up to 48. One row has 20, 12, and ____. What is the missing number?
16
Subtract 20 + 12 = 32 from 48: 48 − 32 = 16.
7. In a magic square, every row adds up to 34. One row has 2, 15, and ____. What is the missing number?
17
Subtract 2 + 15 = 17 from 34: 34 − 17 = 17.
8. In a magic square, every row adds up to 37. One row has 12, 6, and ____. What is the missing number?
19
Subtract 12 + 6 = 18 from 37: 37 − 18 = 19.
9. In a magic square, every row adds up to 35. One row has 17, 12, and ____. What is the missing number?
6
Subtract 17 + 12 = 29 from 35: 35 − 29 = 6.
10. In a magic square, every row adds up to 52. One row has 17, 16, and ____. What is the missing number?
19
Subtract 17 + 16 = 33 from 52: 52 − 33 = 19.
11. In a magic square, every row adds up to 25. One row has 2, 7, and ____. What is the missing number?
16
Subtract 2 + 7 = 9 from 25: 25 − 9 = 16.
12. In a magic square, every row adds up to 30. One row has 4, 18, and ____. What is the missing number?
8
Subtract 4 + 18 = 22 from 30: 30 − 22 = 8.

12 questions · Seed 104747 · Age guidance, not curriculum certification