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.

New variation Try interactive challenge Browse templates

Age band:Ages 7-9 Ages 10-12

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

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 27. One row has 9, 11, and ____. What is the missing number?
27 · 9 · 11 · Magic square missing values
2. In a magic square, every row adds up to 37. One row has 20, 2, and ____. What is the missing number?
37 · 20 · 2 · Magic square missing values
3. In a magic square, every row adds up to 38. One row has 17, 11, and ____. What is the missing number?
38 · 17 · 11 · Magic square missing values
4. In a magic square, every row adds up to 29. One row has 9, 3, and ____. What is the missing number?
29 · 9 · 3 · Magic square missing values
5. In a magic square, every row adds up to 49. One row has 16, 20, and ____. What is the missing number?
49 · 16 · 20 · Magic square missing values
6. In a magic square, every row adds up to 34. One row has 18, 13, and ____. What is the missing number?
34 · 18 · 13 · Magic square missing values
7. In a magic square, every row adds up to 44. One row has 4, 20, and ____. What is the missing number?
44 · 4 · 20 · Magic square missing values
8. In a magic square, every row adds up to 32. One row has 15, 14, and ____. What is the missing number?
32 · 15 · 14 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 6, 19, and ____. What is the missing number?
36 · 6 · 19 · Magic square missing values
10. In a magic square, every row adds up to 26. One row has 2, 6, and ____. What is the missing number?
26 · 2 · 6 · Magic square missing values
11. In a magic square, every row adds up to 37. One row has 18, 11, and ____. What is the missing number?
37 · 18 · 11 · Magic square missing values
12. In a magic square, every row adds up to 27. One row has 7, 10, and ____. What is the missing number?
27 · 7 · 10 · Magic square missing values

12 questions · Seed 66 · 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 27. One row has 9, 11, and ____. What is the missing number?
7
Subtract 9 + 11 = 20 from 27: 27 − 20 = 7.
2. In a magic square, every row adds up to 37. One row has 20, 2, and ____. What is the missing number?
15
Subtract 20 + 2 = 22 from 37: 37 − 22 = 15.
3. In a magic square, every row adds up to 38. One row has 17, 11, and ____. What is the missing number?
10
Subtract 17 + 11 = 28 from 38: 38 − 28 = 10.
4. In a magic square, every row adds up to 29. One row has 9, 3, and ____. What is the missing number?
17
Subtract 9 + 3 = 12 from 29: 29 − 12 = 17.
5. In a magic square, every row adds up to 49. One row has 16, 20, and ____. What is the missing number?
13
Subtract 16 + 20 = 36 from 49: 49 − 36 = 13.
6. In a magic square, every row adds up to 34. One row has 18, 13, and ____. What is the missing number?
3
Subtract 18 + 13 = 31 from 34: 34 − 31 = 3.
7. In a magic square, every row adds up to 44. One row has 4, 20, and ____. What is the missing number?
20
Subtract 4 + 20 = 24 from 44: 44 − 24 = 20.
8. In a magic square, every row adds up to 32. One row has 15, 14, and ____. What is the missing number?
3
Subtract 15 + 14 = 29 from 32: 32 − 29 = 3.
9. In a magic square, every row adds up to 36. One row has 6, 19, and ____. What is the missing number?
11
Subtract 6 + 19 = 25 from 36: 36 − 25 = 11.
10. In a magic square, every row adds up to 26. One row has 2, 6, and ____. What is the missing number?
18
Subtract 2 + 6 = 8 from 26: 26 − 8 = 18.
11. In a magic square, every row adds up to 37. One row has 18, 11, and ____. What is the missing number?
8
Subtract 18 + 11 = 29 from 37: 37 − 29 = 8.
12. In a magic square, every row adds up to 27. One row has 7, 10, and ____. What is the missing number?
10
Subtract 7 + 10 = 17 from 27: 27 − 17 = 10.

12 questions · Seed 66 · 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 27. One row has 9, 11, and ____. What is the missing number?
27 · 9 · 11 · Magic square missing values
2. In a magic square, every row adds up to 37. One row has 20, 2, and ____. What is the missing number?
37 · 20 · 2 · Magic square missing values
3. In a magic square, every row adds up to 38. One row has 17, 11, and ____. What is the missing number?
38 · 17 · 11 · Magic square missing values
4. In a magic square, every row adds up to 29. One row has 9, 3, and ____. What is the missing number?
29 · 9 · 3 · Magic square missing values
5. In a magic square, every row adds up to 49. One row has 16, 20, and ____. What is the missing number?
49 · 16 · 20 · Magic square missing values
6. In a magic square, every row adds up to 34. One row has 18, 13, and ____. What is the missing number?
34 · 18 · 13 · Magic square missing values
7. In a magic square, every row adds up to 44. One row has 4, 20, and ____. What is the missing number?
44 · 4 · 20 · Magic square missing values
8. In a magic square, every row adds up to 32. One row has 15, 14, and ____. What is the missing number?
32 · 15 · 14 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 6, 19, and ____. What is the missing number?
36 · 6 · 19 · Magic square missing values
10. In a magic square, every row adds up to 26. One row has 2, 6, and ____. What is the missing number?
26 · 2 · 6 · Magic square missing values
11. In a magic square, every row adds up to 37. One row has 18, 11, and ____. What is the missing number?
37 · 18 · 11 · Magic square missing values
12. In a magic square, every row adds up to 27. One row has 7, 10, and ____. What is the missing number?
27 · 7 · 10 · Magic square missing values

12 questions · Seed 66 · 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 27. One row has 9, 11, and ____. What is the missing number?
7
Subtract 9 + 11 = 20 from 27: 27 − 20 = 7.
2. In a magic square, every row adds up to 37. One row has 20, 2, and ____. What is the missing number?
15
Subtract 20 + 2 = 22 from 37: 37 − 22 = 15.
3. In a magic square, every row adds up to 38. One row has 17, 11, and ____. What is the missing number?
10
Subtract 17 + 11 = 28 from 38: 38 − 28 = 10.
4. In a magic square, every row adds up to 29. One row has 9, 3, and ____. What is the missing number?
17
Subtract 9 + 3 = 12 from 29: 29 − 12 = 17.
5. In a magic square, every row adds up to 49. One row has 16, 20, and ____. What is the missing number?
13
Subtract 16 + 20 = 36 from 49: 49 − 36 = 13.
6. In a magic square, every row adds up to 34. One row has 18, 13, and ____. What is the missing number?
3
Subtract 18 + 13 = 31 from 34: 34 − 31 = 3.
7. In a magic square, every row adds up to 44. One row has 4, 20, and ____. What is the missing number?
20
Subtract 4 + 20 = 24 from 44: 44 − 24 = 20.
8. In a magic square, every row adds up to 32. One row has 15, 14, and ____. What is the missing number?
3
Subtract 15 + 14 = 29 from 32: 32 − 29 = 3.
9. In a magic square, every row adds up to 36. One row has 6, 19, and ____. What is the missing number?
11
Subtract 6 + 19 = 25 from 36: 36 − 25 = 11.
10. In a magic square, every row adds up to 26. One row has 2, 6, and ____. What is the missing number?
18
Subtract 2 + 6 = 8 from 26: 26 − 8 = 18.
11. In a magic square, every row adds up to 37. One row has 18, 11, and ____. What is the missing number?
8
Subtract 18 + 11 = 29 from 37: 37 − 29 = 8.
12. In a magic square, every row adds up to 27. One row has 7, 10, and ____. What is the missing number?
10
Subtract 7 + 10 = 17 from 27: 27 − 17 = 10.

12 questions · Seed 66 · Age guidance, not curriculum certification