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 10, 20, and ____. What is the missing number?
39 · 10 · 20 · Magic square missing values
2. In a magic square, every row adds up to 38. One row has 16, 9, and ____. What is the missing number?
38 · 16 · 9 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 15, 2, and ____. What is the missing number?
24 · 15 · 2 · Magic square missing values
4. In a magic square, every row adds up to 32. One row has 6, 13, and ____. What is the missing number?
32 · 6 · 13 · Magic square missing values
5. In a magic square, every row adds up to 38. One row has 15, 11, and ____. What is the missing number?
38 · 15 · 11 · Magic square missing values
6. In a magic square, every row adds up to 32. One row has 6, 19, and ____. What is the missing number?
32 · 6 · 19 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 2, 11, and ____. What is the missing number?
29 · 2 · 11 · Magic square missing values
8. In a magic square, every row adds up to 42. One row has 16, 10, and ____. What is the missing number?
42 · 16 · 10 · Magic square missing values
9. In a magic square, every row adds up to 38. One row has 20, 10, and ____. What is the missing number?
38 · 20 · 10 · Magic square missing values
10. In a magic square, every row adds up to 32. One row has 18, 2, and ____. What is the missing number?
32 · 18 · 2 · Magic square missing values
11. In a magic square, every row adds up to 24. One row has 6, 16, and ____. What is the missing number?
24 · 6 · 16 · Magic square missing values
12. In a magic square, every row adds up to 24. One row has 13, 8, and ____. What is the missing number?
24 · 13 · 8 · Magic square missing values

12 questions · Seed 85 · 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 10, 20, and ____. What is the missing number?
9
Subtract 10 + 20 = 30 from 39: 39 − 30 = 9.
2. In a magic square, every row adds up to 38. One row has 16, 9, and ____. What is the missing number?
13
Subtract 16 + 9 = 25 from 38: 38 − 25 = 13.
3. In a magic square, every row adds up to 24. One row has 15, 2, and ____. What is the missing number?
7
Subtract 15 + 2 = 17 from 24: 24 − 17 = 7.
4. In a magic square, every row adds up to 32. One row has 6, 13, and ____. What is the missing number?
13
Subtract 6 + 13 = 19 from 32: 32 − 19 = 13.
5. In a magic square, every row adds up to 38. One row has 15, 11, and ____. What is the missing number?
12
Subtract 15 + 11 = 26 from 38: 38 − 26 = 12.
6. In a magic square, every row adds up to 32. One row has 6, 19, and ____. What is the missing number?
7
Subtract 6 + 19 = 25 from 32: 32 − 25 = 7.
7. In a magic square, every row adds up to 29. One row has 2, 11, and ____. What is the missing number?
16
Subtract 2 + 11 = 13 from 29: 29 − 13 = 16.
8. In a magic square, every row adds up to 42. One row has 16, 10, and ____. What is the missing number?
16
Subtract 16 + 10 = 26 from 42: 42 − 26 = 16.
9. In a magic square, every row adds up to 38. One row has 20, 10, and ____. What is the missing number?
8
Subtract 20 + 10 = 30 from 38: 38 − 30 = 8.
10. In a magic square, every row adds up to 32. One row has 18, 2, and ____. What is the missing number?
12
Subtract 18 + 2 = 20 from 32: 32 − 20 = 12.
11. In a magic square, every row adds up to 24. One row has 6, 16, and ____. What is the missing number?
2
Subtract 6 + 16 = 22 from 24: 24 − 22 = 2.
12. In a magic square, every row adds up to 24. One row has 13, 8, and ____. What is the missing number?
3
Subtract 13 + 8 = 21 from 24: 24 − 21 = 3.

12 questions · Seed 85 · 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 10, 20, and ____. What is the missing number?
39 · 10 · 20 · Magic square missing values
2. In a magic square, every row adds up to 38. One row has 16, 9, and ____. What is the missing number?
38 · 16 · 9 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 15, 2, and ____. What is the missing number?
24 · 15 · 2 · Magic square missing values
4. In a magic square, every row adds up to 32. One row has 6, 13, and ____. What is the missing number?
32 · 6 · 13 · Magic square missing values
5. In a magic square, every row adds up to 38. One row has 15, 11, and ____. What is the missing number?
38 · 15 · 11 · Magic square missing values
6. In a magic square, every row adds up to 32. One row has 6, 19, and ____. What is the missing number?
32 · 6 · 19 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 2, 11, and ____. What is the missing number?
29 · 2 · 11 · Magic square missing values
8. In a magic square, every row adds up to 42. One row has 16, 10, and ____. What is the missing number?
42 · 16 · 10 · Magic square missing values
9. In a magic square, every row adds up to 38. One row has 20, 10, and ____. What is the missing number?
38 · 20 · 10 · Magic square missing values
10. In a magic square, every row adds up to 32. One row has 18, 2, and ____. What is the missing number?
32 · 18 · 2 · Magic square missing values
11. In a magic square, every row adds up to 24. One row has 6, 16, and ____. What is the missing number?
24 · 6 · 16 · Magic square missing values
12. In a magic square, every row adds up to 24. One row has 13, 8, and ____. What is the missing number?
24 · 13 · 8 · Magic square missing values

12 questions · Seed 85 · 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 10, 20, and ____. What is the missing number?
9
Subtract 10 + 20 = 30 from 39: 39 − 30 = 9.
2. In a magic square, every row adds up to 38. One row has 16, 9, and ____. What is the missing number?
13
Subtract 16 + 9 = 25 from 38: 38 − 25 = 13.
3. In a magic square, every row adds up to 24. One row has 15, 2, and ____. What is the missing number?
7
Subtract 15 + 2 = 17 from 24: 24 − 17 = 7.
4. In a magic square, every row adds up to 32. One row has 6, 13, and ____. What is the missing number?
13
Subtract 6 + 13 = 19 from 32: 32 − 19 = 13.
5. In a magic square, every row adds up to 38. One row has 15, 11, and ____. What is the missing number?
12
Subtract 15 + 11 = 26 from 38: 38 − 26 = 12.
6. In a magic square, every row adds up to 32. One row has 6, 19, and ____. What is the missing number?
7
Subtract 6 + 19 = 25 from 32: 32 − 25 = 7.
7. In a magic square, every row adds up to 29. One row has 2, 11, and ____. What is the missing number?
16
Subtract 2 + 11 = 13 from 29: 29 − 13 = 16.
8. In a magic square, every row adds up to 42. One row has 16, 10, and ____. What is the missing number?
16
Subtract 16 + 10 = 26 from 42: 42 − 26 = 16.
9. In a magic square, every row adds up to 38. One row has 20, 10, and ____. What is the missing number?
8
Subtract 20 + 10 = 30 from 38: 38 − 30 = 8.
10. In a magic square, every row adds up to 32. One row has 18, 2, and ____. What is the missing number?
12
Subtract 18 + 2 = 20 from 32: 32 − 20 = 12.
11. In a magic square, every row adds up to 24. One row has 6, 16, and ____. What is the missing number?
2
Subtract 6 + 16 = 22 from 24: 24 − 22 = 2.
12. In a magic square, every row adds up to 24. One row has 13, 8, and ____. What is the missing number?
3
Subtract 13 + 8 = 21 from 24: 24 − 21 = 3.

12 questions · Seed 85 · Age guidance, not curriculum certification