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 39. One row has 13, 11, and ____. What is the missing number?
39 · 13 · 11 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 18, 6, and ____. What is the missing number?
34 · 18 · 6 · Magic square missing values
3. In a magic square, every row adds up to 25. One row has 14, 2, and ____. What is the missing number?
25 · 14 · 2 · Magic square missing values
4. In a magic square, every row adds up to 32. One row has 8, 10, and ____. What is the missing number?
32 · 8 · 10 · Magic square missing values
5. In a magic square, every row adds up to 17. One row has 3, 8, and ____. What is the missing number?
17 · 3 · 8 · Magic square missing values
6. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
24 · 6 · 12 · Magic square missing values
7. In a magic square, every row adds up to 35. One row has 3, 15, and ____. What is the missing number?
35 · 3 · 15 · Magic square missing values
8. In a magic square, every row adds up to 44. One row has 13, 18, and ____. What is the missing number?
44 · 13 · 18 · Magic square missing values
9. In a magic square, every row adds up to 25. One row has 8, 7, and ____. What is the missing number?
25 · 8 · 7 · Magic square missing values
10. In a magic square, every row adds up to 38. One row has 10, 9, and ____. What is the missing number?
38 · 10 · 9 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 10, 13, and ____. What is the missing number?
30 · 10 · 13 · Magic square missing values
12. In a magic square, every row adds up to 23. One row has 12, 2, and ____. What is the missing number?
23 · 12 · 2 · Magic square missing values

12 questions · Seed 43 · 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 39. One row has 13, 11, and ____. What is the missing number?
15
Subtract 13 + 11 = 24 from 39: 39 − 24 = 15.
2. In a magic square, every row adds up to 34. One row has 18, 6, and ____. What is the missing number?
10
Subtract 18 + 6 = 24 from 34: 34 − 24 = 10.
3. In a magic square, every row adds up to 25. One row has 14, 2, and ____. What is the missing number?
9
Subtract 14 + 2 = 16 from 25: 25 − 16 = 9.
4. In a magic square, every row adds up to 32. One row has 8, 10, and ____. What is the missing number?
14
Subtract 8 + 10 = 18 from 32: 32 − 18 = 14.
5. In a magic square, every row adds up to 17. One row has 3, 8, and ____. What is the missing number?
6
Subtract 3 + 8 = 11 from 17: 17 − 11 = 6.
6. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
6
Subtract 6 + 12 = 18 from 24: 24 − 18 = 6.
7. In a magic square, every row adds up to 35. One row has 3, 15, and ____. What is the missing number?
17
Subtract 3 + 15 = 18 from 35: 35 − 18 = 17.
8. In a magic square, every row adds up to 44. One row has 13, 18, and ____. What is the missing number?
13
Subtract 13 + 18 = 31 from 44: 44 − 31 = 13.
9. In a magic square, every row adds up to 25. One row has 8, 7, and ____. What is the missing number?
10
Subtract 8 + 7 = 15 from 25: 25 − 15 = 10.
10. In a magic square, every row adds up to 38. One row has 10, 9, and ____. What is the missing number?
19
Subtract 10 + 9 = 19 from 38: 38 − 19 = 19.
11. In a magic square, every row adds up to 30. One row has 10, 13, and ____. What is the missing number?
7
Subtract 10 + 13 = 23 from 30: 30 − 23 = 7.
12. In a magic square, every row adds up to 23. One row has 12, 2, and ____. What is the missing number?
9
Subtract 12 + 2 = 14 from 23: 23 − 14 = 9.

12 questions · Seed 43 · 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 39. One row has 13, 11, and ____. What is the missing number?
39 · 13 · 11 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 18, 6, and ____. What is the missing number?
34 · 18 · 6 · Magic square missing values
3. In a magic square, every row adds up to 25. One row has 14, 2, and ____. What is the missing number?
25 · 14 · 2 · Magic square missing values
4. In a magic square, every row adds up to 32. One row has 8, 10, and ____. What is the missing number?
32 · 8 · 10 · Magic square missing values
5. In a magic square, every row adds up to 17. One row has 3, 8, and ____. What is the missing number?
17 · 3 · 8 · Magic square missing values
6. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
24 · 6 · 12 · Magic square missing values
7. In a magic square, every row adds up to 35. One row has 3, 15, and ____. What is the missing number?
35 · 3 · 15 · Magic square missing values
8. In a magic square, every row adds up to 44. One row has 13, 18, and ____. What is the missing number?
44 · 13 · 18 · Magic square missing values
9. In a magic square, every row adds up to 25. One row has 8, 7, and ____. What is the missing number?
25 · 8 · 7 · Magic square missing values
10. In a magic square, every row adds up to 38. One row has 10, 9, and ____. What is the missing number?
38 · 10 · 9 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 10, 13, and ____. What is the missing number?
30 · 10 · 13 · Magic square missing values
12. In a magic square, every row adds up to 23. One row has 12, 2, and ____. What is the missing number?
23 · 12 · 2 · Magic square missing values

12 questions · Seed 43 · 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 39. One row has 13, 11, and ____. What is the missing number?
15
Subtract 13 + 11 = 24 from 39: 39 − 24 = 15.
2. In a magic square, every row adds up to 34. One row has 18, 6, and ____. What is the missing number?
10
Subtract 18 + 6 = 24 from 34: 34 − 24 = 10.
3. In a magic square, every row adds up to 25. One row has 14, 2, and ____. What is the missing number?
9
Subtract 14 + 2 = 16 from 25: 25 − 16 = 9.
4. In a magic square, every row adds up to 32. One row has 8, 10, and ____. What is the missing number?
14
Subtract 8 + 10 = 18 from 32: 32 − 18 = 14.
5. In a magic square, every row adds up to 17. One row has 3, 8, and ____. What is the missing number?
6
Subtract 3 + 8 = 11 from 17: 17 − 11 = 6.
6. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
6
Subtract 6 + 12 = 18 from 24: 24 − 18 = 6.
7. In a magic square, every row adds up to 35. One row has 3, 15, and ____. What is the missing number?
17
Subtract 3 + 15 = 18 from 35: 35 − 18 = 17.
8. In a magic square, every row adds up to 44. One row has 13, 18, and ____. What is the missing number?
13
Subtract 13 + 18 = 31 from 44: 44 − 31 = 13.
9. In a magic square, every row adds up to 25. One row has 8, 7, and ____. What is the missing number?
10
Subtract 8 + 7 = 15 from 25: 25 − 15 = 10.
10. In a magic square, every row adds up to 38. One row has 10, 9, and ____. What is the missing number?
19
Subtract 10 + 9 = 19 from 38: 38 − 19 = 19.
11. In a magic square, every row adds up to 30. One row has 10, 13, and ____. What is the missing number?
7
Subtract 10 + 13 = 23 from 30: 30 − 23 = 7.
12. In a magic square, every row adds up to 23. One row has 12, 2, and ____. What is the missing number?
9
Subtract 12 + 2 = 14 from 23: 23 − 14 = 9.

12 questions · Seed 43 · Age guidance, not curriculum certification