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 34. One row has 12, 14, and ____. What is the missing number?
34 · 12 · 14 · Magic square missing values
2. In a magic square, every row adds up to 23. One row has 2, 15, and ____. What is the missing number?
23 · 2 · 15 · Magic square missing values
3. In a magic square, every row adds up to 20. One row has 4, 14, and ____. What is the missing number?
20 · 4 · 14 · Magic square missing values
4. In a magic square, every row adds up to 39. One row has 17, 8, and ____. What is the missing number?
39 · 17 · 8 · Magic square missing values
5. In a magic square, every row adds up to 22. One row has 4, 9, and ____. What is the missing number?
22 · 4 · 9 · Magic square missing values
6. In a magic square, every row adds up to 48. One row has 13, 16, and ____. What is the missing number?
48 · 13 · 16 · Magic square missing values
7. In a magic square, every row adds up to 40. One row has 5, 15, and ____. What is the missing number?
40 · 5 · 15 · Magic square missing values
8. In a magic square, every row adds up to 40. One row has 20, 16, and ____. What is the missing number?
40 · 20 · 16 · Magic square missing values
9. In a magic square, every row adds up to 23. One row has 6, 7, and ____. What is the missing number?
23 · 6 · 7 · Magic square missing values
10. In a magic square, every row adds up to 42. One row has 12, 10, and ____. What is the missing number?
42 · 12 · 10 · Magic square missing values
11. In a magic square, every row adds up to 38. One row has 18, 6, and ____. What is the missing number?
38 · 18 · 6 · Magic square missing values
12. In a magic square, every row adds up to 24. One row has 5, 11, and ____. What is the missing number?
24 · 5 · 11 · Magic square missing values

12 questions · Seed 104739 · 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 34. One row has 12, 14, and ____. What is the missing number?
8
Subtract 12 + 14 = 26 from 34: 34 − 26 = 8.
2. In a magic square, every row adds up to 23. One row has 2, 15, and ____. What is the missing number?
6
Subtract 2 + 15 = 17 from 23: 23 − 17 = 6.
3. In a magic square, every row adds up to 20. One row has 4, 14, and ____. What is the missing number?
2
Subtract 4 + 14 = 18 from 20: 20 − 18 = 2.
4. In a magic square, every row adds up to 39. One row has 17, 8, and ____. What is the missing number?
14
Subtract 17 + 8 = 25 from 39: 39 − 25 = 14.
5. In a magic square, every row adds up to 22. One row has 4, 9, and ____. What is the missing number?
9
Subtract 4 + 9 = 13 from 22: 22 − 13 = 9.
6. In a magic square, every row adds up to 48. One row has 13, 16, and ____. What is the missing number?
19
Subtract 13 + 16 = 29 from 48: 48 − 29 = 19.
7. In a magic square, every row adds up to 40. One row has 5, 15, and ____. What is the missing number?
20
Subtract 5 + 15 = 20 from 40: 40 − 20 = 20.
8. In a magic square, every row adds up to 40. One row has 20, 16, and ____. What is the missing number?
4
Subtract 20 + 16 = 36 from 40: 40 − 36 = 4.
9. In a magic square, every row adds up to 23. One row has 6, 7, and ____. What is the missing number?
10
Subtract 6 + 7 = 13 from 23: 23 − 13 = 10.
10. In a magic square, every row adds up to 42. One row has 12, 10, and ____. What is the missing number?
20
Subtract 12 + 10 = 22 from 42: 42 − 22 = 20.
11. In a magic square, every row adds up to 38. One row has 18, 6, and ____. What is the missing number?
14
Subtract 18 + 6 = 24 from 38: 38 − 24 = 14.
12. In a magic square, every row adds up to 24. One row has 5, 11, and ____. What is the missing number?
8
Subtract 5 + 11 = 16 from 24: 24 − 16 = 8.

12 questions · Seed 104739 · 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 34. One row has 12, 14, and ____. What is the missing number?
34 · 12 · 14 · Magic square missing values
2. In a magic square, every row adds up to 23. One row has 2, 15, and ____. What is the missing number?
23 · 2 · 15 · Magic square missing values
3. In a magic square, every row adds up to 20. One row has 4, 14, and ____. What is the missing number?
20 · 4 · 14 · Magic square missing values
4. In a magic square, every row adds up to 39. One row has 17, 8, and ____. What is the missing number?
39 · 17 · 8 · Magic square missing values
5. In a magic square, every row adds up to 22. One row has 4, 9, and ____. What is the missing number?
22 · 4 · 9 · Magic square missing values
6. In a magic square, every row adds up to 48. One row has 13, 16, and ____. What is the missing number?
48 · 13 · 16 · Magic square missing values
7. In a magic square, every row adds up to 40. One row has 5, 15, and ____. What is the missing number?
40 · 5 · 15 · Magic square missing values
8. In a magic square, every row adds up to 40. One row has 20, 16, and ____. What is the missing number?
40 · 20 · 16 · Magic square missing values
9. In a magic square, every row adds up to 23. One row has 6, 7, and ____. What is the missing number?
23 · 6 · 7 · Magic square missing values
10. In a magic square, every row adds up to 42. One row has 12, 10, and ____. What is the missing number?
42 · 12 · 10 · Magic square missing values
11. In a magic square, every row adds up to 38. One row has 18, 6, and ____. What is the missing number?
38 · 18 · 6 · Magic square missing values
12. In a magic square, every row adds up to 24. One row has 5, 11, and ____. What is the missing number?
24 · 5 · 11 · Magic square missing values

12 questions · Seed 104739 · 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 34. One row has 12, 14, and ____. What is the missing number?
8
Subtract 12 + 14 = 26 from 34: 34 − 26 = 8.
2. In a magic square, every row adds up to 23. One row has 2, 15, and ____. What is the missing number?
6
Subtract 2 + 15 = 17 from 23: 23 − 17 = 6.
3. In a magic square, every row adds up to 20. One row has 4, 14, and ____. What is the missing number?
2
Subtract 4 + 14 = 18 from 20: 20 − 18 = 2.
4. In a magic square, every row adds up to 39. One row has 17, 8, and ____. What is the missing number?
14
Subtract 17 + 8 = 25 from 39: 39 − 25 = 14.
5. In a magic square, every row adds up to 22. One row has 4, 9, and ____. What is the missing number?
9
Subtract 4 + 9 = 13 from 22: 22 − 13 = 9.
6. In a magic square, every row adds up to 48. One row has 13, 16, and ____. What is the missing number?
19
Subtract 13 + 16 = 29 from 48: 48 − 29 = 19.
7. In a magic square, every row adds up to 40. One row has 5, 15, and ____. What is the missing number?
20
Subtract 5 + 15 = 20 from 40: 40 − 20 = 20.
8. In a magic square, every row adds up to 40. One row has 20, 16, and ____. What is the missing number?
4
Subtract 20 + 16 = 36 from 40: 40 − 36 = 4.
9. In a magic square, every row adds up to 23. One row has 6, 7, and ____. What is the missing number?
10
Subtract 6 + 7 = 13 from 23: 23 − 13 = 10.
10. In a magic square, every row adds up to 42. One row has 12, 10, and ____. What is the missing number?
20
Subtract 12 + 10 = 22 from 42: 42 − 22 = 20.
11. In a magic square, every row adds up to 38. One row has 18, 6, and ____. What is the missing number?
14
Subtract 18 + 6 = 24 from 38: 38 − 24 = 14.
12. In a magic square, every row adds up to 24. One row has 5, 11, and ____. What is the missing number?
8
Subtract 5 + 11 = 16 from 24: 24 − 16 = 8.

12 questions · Seed 104739 · Age guidance, not curriculum certification