ReasoningAges 7-9

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 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 20. One row has 6, 6, and ____. What is the missing number?
20 · 6 · 6 · Magic square missing values
2. In a magic square, every row adds up to 48. One row has 19, 13, and ____. What is the missing number?
48 · 19 · 13 · Magic square missing values
3. In a magic square, every row adds up to 49. One row has 11, 20, and ____. What is the missing number?
49 · 11 · 20 · Magic square missing values
4. In a magic square, every row adds up to 44. One row has 13, 14, and ____. What is the missing number?
44 · 13 · 14 · Magic square missing values
5. In a magic square, every row adds up to 43. One row has 20, 7, and ____. What is the missing number?
43 · 20 · 7 · Magic square missing values
6. In a magic square, every row adds up to 31. One row has 7, 19, and ____. What is the missing number?
31 · 7 · 19 · Magic square missing values
7. In a magic square, every row adds up to 32. One row has 9, 8, and ____. What is the missing number?
32 · 9 · 8 · Magic square missing values
8. In a magic square, every row adds up to 36. One row has 20, 7, and ____. What is the missing number?
36 · 20 · 7 · Magic square missing values
9. In a magic square, every row adds up to 16. One row has 7, 6, and ____. What is the missing number?
16 · 7 · 6 · Magic square missing values
10. In a magic square, every row adds up to 32. One row has 11, 18, and ____. What is the missing number?
32 · 11 · 18 · Magic square missing values
11. In a magic square, every row adds up to 24. One row has 12, 8, and ____. What is the missing number?
24 · 12 · 8 · Magic square missing values
12. In a magic square, every row adds up to 32. One row has 17, 9, and ____. What is the missing number?
32 · 17 · 9 · Magic square missing values

12 questions · Seed 83 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 20. One row has 6, 6, and ____. What is the missing number?
8
Subtract 6 + 6 = 12 from 20: 20 − 12 = 8.
2. In a magic square, every row adds up to 48. One row has 19, 13, and ____. What is the missing number?
16
Subtract 19 + 13 = 32 from 48: 48 − 32 = 16.
3. In a magic square, every row adds up to 49. One row has 11, 20, and ____. What is the missing number?
18
Subtract 11 + 20 = 31 from 49: 49 − 31 = 18.
4. In a magic square, every row adds up to 44. One row has 13, 14, and ____. What is the missing number?
17
Subtract 13 + 14 = 27 from 44: 44 − 27 = 17.
5. In a magic square, every row adds up to 43. One row has 20, 7, and ____. What is the missing number?
16
Subtract 20 + 7 = 27 from 43: 43 − 27 = 16.
6. In a magic square, every row adds up to 31. One row has 7, 19, and ____. What is the missing number?
5
Subtract 7 + 19 = 26 from 31: 31 − 26 = 5.
7. In a magic square, every row adds up to 32. One row has 9, 8, and ____. What is the missing number?
15
Subtract 9 + 8 = 17 from 32: 32 − 17 = 15.
8. In a magic square, every row adds up to 36. One row has 20, 7, and ____. What is the missing number?
9
Subtract 20 + 7 = 27 from 36: 36 − 27 = 9.
9. In a magic square, every row adds up to 16. One row has 7, 6, and ____. What is the missing number?
3
Subtract 7 + 6 = 13 from 16: 16 − 13 = 3.
10. In a magic square, every row adds up to 32. One row has 11, 18, and ____. What is the missing number?
3
Subtract 11 + 18 = 29 from 32: 32 − 29 = 3.
11. In a magic square, every row adds up to 24. One row has 12, 8, and ____. What is the missing number?
4
Subtract 12 + 8 = 20 from 24: 24 − 20 = 4.
12. In a magic square, every row adds up to 32. One row has 17, 9, and ____. What is the missing number?
6
Subtract 17 + 9 = 26 from 32: 32 − 26 = 6.

12 questions · Seed 83 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 20. One row has 6, 6, and ____. What is the missing number?
20 · 6 · 6 · Magic square missing values
2. In a magic square, every row adds up to 48. One row has 19, 13, and ____. What is the missing number?
48 · 19 · 13 · Magic square missing values
3. In a magic square, every row adds up to 49. One row has 11, 20, and ____. What is the missing number?
49 · 11 · 20 · Magic square missing values
4. In a magic square, every row adds up to 44. One row has 13, 14, and ____. What is the missing number?
44 · 13 · 14 · Magic square missing values
5. In a magic square, every row adds up to 43. One row has 20, 7, and ____. What is the missing number?
43 · 20 · 7 · Magic square missing values
6. In a magic square, every row adds up to 31. One row has 7, 19, and ____. What is the missing number?
31 · 7 · 19 · Magic square missing values
7. In a magic square, every row adds up to 32. One row has 9, 8, and ____. What is the missing number?
32 · 9 · 8 · Magic square missing values
8. In a magic square, every row adds up to 36. One row has 20, 7, and ____. What is the missing number?
36 · 20 · 7 · Magic square missing values
9. In a magic square, every row adds up to 16. One row has 7, 6, and ____. What is the missing number?
16 · 7 · 6 · Magic square missing values
10. In a magic square, every row adds up to 32. One row has 11, 18, and ____. What is the missing number?
32 · 11 · 18 · Magic square missing values
11. In a magic square, every row adds up to 24. One row has 12, 8, and ____. What is the missing number?
24 · 12 · 8 · Magic square missing values
12. In a magic square, every row adds up to 32. One row has 17, 9, and ____. What is the missing number?
32 · 17 · 9 · Magic square missing values

12 questions · Seed 83 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 20. One row has 6, 6, and ____. What is the missing number?
8
Subtract 6 + 6 = 12 from 20: 20 − 12 = 8.
2. In a magic square, every row adds up to 48. One row has 19, 13, and ____. What is the missing number?
16
Subtract 19 + 13 = 32 from 48: 48 − 32 = 16.
3. In a magic square, every row adds up to 49. One row has 11, 20, and ____. What is the missing number?
18
Subtract 11 + 20 = 31 from 49: 49 − 31 = 18.
4. In a magic square, every row adds up to 44. One row has 13, 14, and ____. What is the missing number?
17
Subtract 13 + 14 = 27 from 44: 44 − 27 = 17.
5. In a magic square, every row adds up to 43. One row has 20, 7, and ____. What is the missing number?
16
Subtract 20 + 7 = 27 from 43: 43 − 27 = 16.
6. In a magic square, every row adds up to 31. One row has 7, 19, and ____. What is the missing number?
5
Subtract 7 + 19 = 26 from 31: 31 − 26 = 5.
7. In a magic square, every row adds up to 32. One row has 9, 8, and ____. What is the missing number?
15
Subtract 9 + 8 = 17 from 32: 32 − 17 = 15.
8. In a magic square, every row adds up to 36. One row has 20, 7, and ____. What is the missing number?
9
Subtract 20 + 7 = 27 from 36: 36 − 27 = 9.
9. In a magic square, every row adds up to 16. One row has 7, 6, and ____. What is the missing number?
3
Subtract 7 + 6 = 13 from 16: 16 − 13 = 3.
10. In a magic square, every row adds up to 32. One row has 11, 18, and ____. What is the missing number?
3
Subtract 11 + 18 = 29 from 32: 32 − 29 = 3.
11. In a magic square, every row adds up to 24. One row has 12, 8, and ____. What is the missing number?
4
Subtract 12 + 8 = 20 from 24: 24 − 20 = 4.
12. In a magic square, every row adds up to 32. One row has 17, 9, and ____. What is the missing number?
6
Subtract 17 + 9 = 26 from 32: 32 − 26 = 6.

12 questions · Seed 83 · Age guidance, not curriculum certification