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 44. One row has 9, 18, and ____. What is the missing number?
44 · 9 · 18 · Magic square missing values
2. In a magic square, every row adds up to 32. One row has 12, 9, and ____. What is the missing number?
32 · 12 · 9 · Magic square missing values
3. In a magic square, every row adds up to 37. One row has 5, 16, and ____. What is the missing number?
37 · 5 · 16 · Magic square missing values
4. In a magic square, every row adds up to 44. One row has 9, 15, and ____. What is the missing number?
44 · 9 · 15 · Magic square missing values
5. In a magic square, every row adds up to 37. One row has 7, 12, and ____. What is the missing number?
37 · 7 · 12 · Magic square missing values
6. In a magic square, every row adds up to 35. One row has 17, 9, and ____. What is the missing number?
35 · 17 · 9 · Magic square missing values
7. In a magic square, every row adds up to 42. One row has 16, 12, and ____. What is the missing number?
42 · 16 · 12 · Magic square missing values
8. In a magic square, every row adds up to 17. One row has 4, 10, and ____. What is the missing number?
17 · 4 · 10 · Magic square missing values
9. In a magic square, every row adds up to 27. One row has 8, 4, and ____. What is the missing number?
27 · 8 · 4 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 14, 2, and ____. What is the missing number?
34 · 14 · 2 · Magic square missing values
11. In a magic square, every row adds up to 32. One row has 9, 7, and ____. What is the missing number?
32 · 9 · 7 · Magic square missing values
12. In a magic square, every row adds up to 55. One row has 18, 20, and ____. What is the missing number?
55 · 18 · 20 · Magic square missing values

12 questions · Seed 64 · 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 44. One row has 9, 18, and ____. What is the missing number?
17
Subtract 9 + 18 = 27 from 44: 44 − 27 = 17.
2. In a magic square, every row adds up to 32. One row has 12, 9, and ____. What is the missing number?
11
Subtract 12 + 9 = 21 from 32: 32 − 21 = 11.
3. In a magic square, every row adds up to 37. One row has 5, 16, and ____. What is the missing number?
16
Subtract 5 + 16 = 21 from 37: 37 − 21 = 16.
4. In a magic square, every row adds up to 44. One row has 9, 15, and ____. What is the missing number?
20
Subtract 9 + 15 = 24 from 44: 44 − 24 = 20.
5. In a magic square, every row adds up to 37. One row has 7, 12, and ____. What is the missing number?
18
Subtract 7 + 12 = 19 from 37: 37 − 19 = 18.
6. In a magic square, every row adds up to 35. One row has 17, 9, and ____. What is the missing number?
9
Subtract 17 + 9 = 26 from 35: 35 − 26 = 9.
7. In a magic square, every row adds up to 42. One row has 16, 12, and ____. What is the missing number?
14
Subtract 16 + 12 = 28 from 42: 42 − 28 = 14.
8. In a magic square, every row adds up to 17. One row has 4, 10, and ____. What is the missing number?
3
Subtract 4 + 10 = 14 from 17: 17 − 14 = 3.
9. In a magic square, every row adds up to 27. One row has 8, 4, and ____. What is the missing number?
15
Subtract 8 + 4 = 12 from 27: 27 − 12 = 15.
10. In a magic square, every row adds up to 34. One row has 14, 2, and ____. What is the missing number?
18
Subtract 14 + 2 = 16 from 34: 34 − 16 = 18.
11. In a magic square, every row adds up to 32. One row has 9, 7, and ____. What is the missing number?
16
Subtract 9 + 7 = 16 from 32: 32 − 16 = 16.
12. In a magic square, every row adds up to 55. One row has 18, 20, and ____. What is the missing number?
17
Subtract 18 + 20 = 38 from 55: 55 − 38 = 17.

12 questions · Seed 64 · 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 44. One row has 9, 18, and ____. What is the missing number?
44 · 9 · 18 · Magic square missing values
2. In a magic square, every row adds up to 32. One row has 12, 9, and ____. What is the missing number?
32 · 12 · 9 · Magic square missing values
3. In a magic square, every row adds up to 37. One row has 5, 16, and ____. What is the missing number?
37 · 5 · 16 · Magic square missing values
4. In a magic square, every row adds up to 44. One row has 9, 15, and ____. What is the missing number?
44 · 9 · 15 · Magic square missing values
5. In a magic square, every row adds up to 37. One row has 7, 12, and ____. What is the missing number?
37 · 7 · 12 · Magic square missing values
6. In a magic square, every row adds up to 35. One row has 17, 9, and ____. What is the missing number?
35 · 17 · 9 · Magic square missing values
7. In a magic square, every row adds up to 42. One row has 16, 12, and ____. What is the missing number?
42 · 16 · 12 · Magic square missing values
8. In a magic square, every row adds up to 17. One row has 4, 10, and ____. What is the missing number?
17 · 4 · 10 · Magic square missing values
9. In a magic square, every row adds up to 27. One row has 8, 4, and ____. What is the missing number?
27 · 8 · 4 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 14, 2, and ____. What is the missing number?
34 · 14 · 2 · Magic square missing values
11. In a magic square, every row adds up to 32. One row has 9, 7, and ____. What is the missing number?
32 · 9 · 7 · Magic square missing values
12. In a magic square, every row adds up to 55. One row has 18, 20, and ____. What is the missing number?
55 · 18 · 20 · Magic square missing values

12 questions · Seed 64 · 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 44. One row has 9, 18, and ____. What is the missing number?
17
Subtract 9 + 18 = 27 from 44: 44 − 27 = 17.
2. In a magic square, every row adds up to 32. One row has 12, 9, and ____. What is the missing number?
11
Subtract 12 + 9 = 21 from 32: 32 − 21 = 11.
3. In a magic square, every row adds up to 37. One row has 5, 16, and ____. What is the missing number?
16
Subtract 5 + 16 = 21 from 37: 37 − 21 = 16.
4. In a magic square, every row adds up to 44. One row has 9, 15, and ____. What is the missing number?
20
Subtract 9 + 15 = 24 from 44: 44 − 24 = 20.
5. In a magic square, every row adds up to 37. One row has 7, 12, and ____. What is the missing number?
18
Subtract 7 + 12 = 19 from 37: 37 − 19 = 18.
6. In a magic square, every row adds up to 35. One row has 17, 9, and ____. What is the missing number?
9
Subtract 17 + 9 = 26 from 35: 35 − 26 = 9.
7. In a magic square, every row adds up to 42. One row has 16, 12, and ____. What is the missing number?
14
Subtract 16 + 12 = 28 from 42: 42 − 28 = 14.
8. In a magic square, every row adds up to 17. One row has 4, 10, and ____. What is the missing number?
3
Subtract 4 + 10 = 14 from 17: 17 − 14 = 3.
9. In a magic square, every row adds up to 27. One row has 8, 4, and ____. What is the missing number?
15
Subtract 8 + 4 = 12 from 27: 27 − 12 = 15.
10. In a magic square, every row adds up to 34. One row has 14, 2, and ____. What is the missing number?
18
Subtract 14 + 2 = 16 from 34: 34 − 16 = 18.
11. In a magic square, every row adds up to 32. One row has 9, 7, and ____. What is the missing number?
16
Subtract 9 + 7 = 16 from 32: 32 − 16 = 16.
12. In a magic square, every row adds up to 55. One row has 18, 20, and ____. What is the missing number?
17
Subtract 18 + 20 = 38 from 55: 55 − 38 = 17.

12 questions · Seed 64 · Age guidance, not curriculum certification