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 4, 12, and ____. What is the missing number?
27 · 4 · 12 · Magic square missing values
2. In a magic square, every row adds up to 38. One row has 15, 3, and ____. What is the missing number?
38 · 15 · 3 · Magic square missing values
3. In a magic square, every row adds up to 26. One row has 15, 6, and ____. What is the missing number?
26 · 15 · 6 · Magic square missing values
4. In a magic square, every row adds up to 26. One row has 13, 9, and ____. What is the missing number?
26 · 13 · 9 · Magic square missing values
5. In a magic square, every row adds up to 50. One row has 20, 17, and ____. What is the missing number?
50 · 20 · 17 · Magic square missing values
6. In a magic square, every row adds up to 20. One row has 4, 11, and ____. What is the missing number?
20 · 4 · 11 · Magic square missing values
7. In a magic square, every row adds up to 34. One row has 2, 20, and ____. What is the missing number?
34 · 2 · 20 · Magic square missing values
8. In a magic square, every row adds up to 45. One row has 13, 20, and ____. What is the missing number?
45 · 13 · 20 · Magic square missing values
9. In a magic square, every row adds up to 37. One row has 8, 18, and ____. What is the missing number?
37 · 8 · 18 · Magic square missing values
10. In a magic square, every row adds up to 42. One row has 14, 14, and ____. What is the missing number?
42 · 14 · 14 · Magic square missing values
11. In a magic square, every row adds up to 35. One row has 14, 3, and ____. What is the missing number?
35 · 14 · 3 · Magic square missing values
12. In a magic square, every row adds up to 22. One row has 3, 3, and ____. What is the missing number?
22 · 3 · 3 · Magic square missing values

12 questions · Seed 54 · 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 4, 12, and ____. What is the missing number?
11
Subtract 4 + 12 = 16 from 27: 27 − 16 = 11.
2. In a magic square, every row adds up to 38. One row has 15, 3, and ____. What is the missing number?
20
Subtract 15 + 3 = 18 from 38: 38 − 18 = 20.
3. In a magic square, every row adds up to 26. One row has 15, 6, and ____. What is the missing number?
5
Subtract 15 + 6 = 21 from 26: 26 − 21 = 5.
4. In a magic square, every row adds up to 26. One row has 13, 9, and ____. What is the missing number?
4
Subtract 13 + 9 = 22 from 26: 26 − 22 = 4.
5. In a magic square, every row adds up to 50. One row has 20, 17, and ____. What is the missing number?
13
Subtract 20 + 17 = 37 from 50: 50 − 37 = 13.
6. In a magic square, every row adds up to 20. One row has 4, 11, and ____. What is the missing number?
5
Subtract 4 + 11 = 15 from 20: 20 − 15 = 5.
7. In a magic square, every row adds up to 34. One row has 2, 20, and ____. What is the missing number?
12
Subtract 2 + 20 = 22 from 34: 34 − 22 = 12.
8. In a magic square, every row adds up to 45. One row has 13, 20, and ____. What is the missing number?
12
Subtract 13 + 20 = 33 from 45: 45 − 33 = 12.
9. In a magic square, every row adds up to 37. One row has 8, 18, and ____. What is the missing number?
11
Subtract 8 + 18 = 26 from 37: 37 − 26 = 11.
10. In a magic square, every row adds up to 42. One row has 14, 14, and ____. What is the missing number?
14
Subtract 14 + 14 = 28 from 42: 42 − 28 = 14.
11. In a magic square, every row adds up to 35. One row has 14, 3, and ____. What is the missing number?
18
Subtract 14 + 3 = 17 from 35: 35 − 17 = 18.
12. In a magic square, every row adds up to 22. One row has 3, 3, and ____. What is the missing number?
16
Subtract 3 + 3 = 6 from 22: 22 − 6 = 16.

12 questions · Seed 54 · 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 4, 12, and ____. What is the missing number?
27 · 4 · 12 · Magic square missing values
2. In a magic square, every row adds up to 38. One row has 15, 3, and ____. What is the missing number?
38 · 15 · 3 · Magic square missing values
3. In a magic square, every row adds up to 26. One row has 15, 6, and ____. What is the missing number?
26 · 15 · 6 · Magic square missing values
4. In a magic square, every row adds up to 26. One row has 13, 9, and ____. What is the missing number?
26 · 13 · 9 · Magic square missing values
5. In a magic square, every row adds up to 50. One row has 20, 17, and ____. What is the missing number?
50 · 20 · 17 · Magic square missing values
6. In a magic square, every row adds up to 20. One row has 4, 11, and ____. What is the missing number?
20 · 4 · 11 · Magic square missing values
7. In a magic square, every row adds up to 34. One row has 2, 20, and ____. What is the missing number?
34 · 2 · 20 · Magic square missing values
8. In a magic square, every row adds up to 45. One row has 13, 20, and ____. What is the missing number?
45 · 13 · 20 · Magic square missing values
9. In a magic square, every row adds up to 37. One row has 8, 18, and ____. What is the missing number?
37 · 8 · 18 · Magic square missing values
10. In a magic square, every row adds up to 42. One row has 14, 14, and ____. What is the missing number?
42 · 14 · 14 · Magic square missing values
11. In a magic square, every row adds up to 35. One row has 14, 3, and ____. What is the missing number?
35 · 14 · 3 · Magic square missing values
12. In a magic square, every row adds up to 22. One row has 3, 3, and ____. What is the missing number?
22 · 3 · 3 · Magic square missing values

12 questions · Seed 54 · 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 4, 12, and ____. What is the missing number?
11
Subtract 4 + 12 = 16 from 27: 27 − 16 = 11.
2. In a magic square, every row adds up to 38. One row has 15, 3, and ____. What is the missing number?
20
Subtract 15 + 3 = 18 from 38: 38 − 18 = 20.
3. In a magic square, every row adds up to 26. One row has 15, 6, and ____. What is the missing number?
5
Subtract 15 + 6 = 21 from 26: 26 − 21 = 5.
4. In a magic square, every row adds up to 26. One row has 13, 9, and ____. What is the missing number?
4
Subtract 13 + 9 = 22 from 26: 26 − 22 = 4.
5. In a magic square, every row adds up to 50. One row has 20, 17, and ____. What is the missing number?
13
Subtract 20 + 17 = 37 from 50: 50 − 37 = 13.
6. In a magic square, every row adds up to 20. One row has 4, 11, and ____. What is the missing number?
5
Subtract 4 + 11 = 15 from 20: 20 − 15 = 5.
7. In a magic square, every row adds up to 34. One row has 2, 20, and ____. What is the missing number?
12
Subtract 2 + 20 = 22 from 34: 34 − 22 = 12.
8. In a magic square, every row adds up to 45. One row has 13, 20, and ____. What is the missing number?
12
Subtract 13 + 20 = 33 from 45: 45 − 33 = 12.
9. In a magic square, every row adds up to 37. One row has 8, 18, and ____. What is the missing number?
11
Subtract 8 + 18 = 26 from 37: 37 − 26 = 11.
10. In a magic square, every row adds up to 42. One row has 14, 14, and ____. What is the missing number?
14
Subtract 14 + 14 = 28 from 42: 42 − 28 = 14.
11. In a magic square, every row adds up to 35. One row has 14, 3, and ____. What is the missing number?
18
Subtract 14 + 3 = 17 from 35: 35 − 17 = 18.
12. In a magic square, every row adds up to 22. One row has 3, 3, and ____. What is the missing number?
16
Subtract 3 + 3 = 6 from 22: 22 − 6 = 16.

12 questions · Seed 54 · Age guidance, not curriculum certification