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 30. One row has 9, 15, and ____. What is the missing number?
30 · 9 · 15 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 5, 15, and ____. What is the missing number?
34 · 5 · 15 · Magic square missing values
3. In a magic square, every row adds up to 37. One row has 9, 16, and ____. What is the missing number?
37 · 9 · 16 · Magic square missing values
4. In a magic square, every row adds up to 36. One row has 7, 19, and ____. What is the missing number?
36 · 7 · 19 · Magic square missing values
5. In a magic square, every row adds up to 35. One row has 3, 13, and ____. What is the missing number?
35 · 3 · 13 · Magic square missing values
6. In a magic square, every row adds up to 50. One row has 15, 19, and ____. What is the missing number?
50 · 15 · 19 · Magic square missing values
7. In a magic square, every row adds up to 28. One row has 5, 7, and ____. What is the missing number?
28 · 5 · 7 · Magic square missing values
8. In a magic square, every row adds up to 50. One row has 18, 14, and ____. What is the missing number?
50 · 18 · 14 · Magic square missing values
9. In a magic square, every row adds up to 32. One row has 18, 6, and ____. What is the missing number?
32 · 18 · 6 · Magic square missing values
10. In a magic square, every row adds up to 32. One row has 3, 15, and ____. What is the missing number?
32 · 3 · 15 · Magic square missing values
11. In a magic square, every row adds up to 22. One row has 9, 3, and ____. What is the missing number?
22 · 9 · 3 · Magic square missing values
12. In a magic square, every row adds up to 21. One row has 4, 7, and ____. What is the missing number?
21 · 4 · 7 · Magic square missing values

12 questions · Seed 61 · 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 30. One row has 9, 15, and ____. What is the missing number?
6
Subtract 9 + 15 = 24 from 30: 30 − 24 = 6.
2. In a magic square, every row adds up to 34. One row has 5, 15, and ____. What is the missing number?
14
Subtract 5 + 15 = 20 from 34: 34 − 20 = 14.
3. In a magic square, every row adds up to 37. One row has 9, 16, and ____. What is the missing number?
12
Subtract 9 + 16 = 25 from 37: 37 − 25 = 12.
4. In a magic square, every row adds up to 36. One row has 7, 19, and ____. What is the missing number?
10
Subtract 7 + 19 = 26 from 36: 36 − 26 = 10.
5. In a magic square, every row adds up to 35. One row has 3, 13, and ____. What is the missing number?
19
Subtract 3 + 13 = 16 from 35: 35 − 16 = 19.
6. In a magic square, every row adds up to 50. One row has 15, 19, and ____. What is the missing number?
16
Subtract 15 + 19 = 34 from 50: 50 − 34 = 16.
7. In a magic square, every row adds up to 28. One row has 5, 7, and ____. What is the missing number?
16
Subtract 5 + 7 = 12 from 28: 28 − 12 = 16.
8. In a magic square, every row adds up to 50. One row has 18, 14, and ____. What is the missing number?
18
Subtract 18 + 14 = 32 from 50: 50 − 32 = 18.
9. In a magic square, every row adds up to 32. One row has 18, 6, and ____. What is the missing number?
8
Subtract 18 + 6 = 24 from 32: 32 − 24 = 8.
10. In a magic square, every row adds up to 32. One row has 3, 15, and ____. What is the missing number?
14
Subtract 3 + 15 = 18 from 32: 32 − 18 = 14.
11. In a magic square, every row adds up to 22. One row has 9, 3, and ____. What is the missing number?
10
Subtract 9 + 3 = 12 from 22: 22 − 12 = 10.
12. In a magic square, every row adds up to 21. One row has 4, 7, and ____. What is the missing number?
10
Subtract 4 + 7 = 11 from 21: 21 − 11 = 10.

12 questions · Seed 61 · 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 30. One row has 9, 15, and ____. What is the missing number?
30 · 9 · 15 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 5, 15, and ____. What is the missing number?
34 · 5 · 15 · Magic square missing values
3. In a magic square, every row adds up to 37. One row has 9, 16, and ____. What is the missing number?
37 · 9 · 16 · Magic square missing values
4. In a magic square, every row adds up to 36. One row has 7, 19, and ____. What is the missing number?
36 · 7 · 19 · Magic square missing values
5. In a magic square, every row adds up to 35. One row has 3, 13, and ____. What is the missing number?
35 · 3 · 13 · Magic square missing values
6. In a magic square, every row adds up to 50. One row has 15, 19, and ____. What is the missing number?
50 · 15 · 19 · Magic square missing values
7. In a magic square, every row adds up to 28. One row has 5, 7, and ____. What is the missing number?
28 · 5 · 7 · Magic square missing values
8. In a magic square, every row adds up to 50. One row has 18, 14, and ____. What is the missing number?
50 · 18 · 14 · Magic square missing values
9. In a magic square, every row adds up to 32. One row has 18, 6, and ____. What is the missing number?
32 · 18 · 6 · Magic square missing values
10. In a magic square, every row adds up to 32. One row has 3, 15, and ____. What is the missing number?
32 · 3 · 15 · Magic square missing values
11. In a magic square, every row adds up to 22. One row has 9, 3, and ____. What is the missing number?
22 · 9 · 3 · Magic square missing values
12. In a magic square, every row adds up to 21. One row has 4, 7, and ____. What is the missing number?
21 · 4 · 7 · Magic square missing values

12 questions · Seed 61 · 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 30. One row has 9, 15, and ____. What is the missing number?
6
Subtract 9 + 15 = 24 from 30: 30 − 24 = 6.
2. In a magic square, every row adds up to 34. One row has 5, 15, and ____. What is the missing number?
14
Subtract 5 + 15 = 20 from 34: 34 − 20 = 14.
3. In a magic square, every row adds up to 37. One row has 9, 16, and ____. What is the missing number?
12
Subtract 9 + 16 = 25 from 37: 37 − 25 = 12.
4. In a magic square, every row adds up to 36. One row has 7, 19, and ____. What is the missing number?
10
Subtract 7 + 19 = 26 from 36: 36 − 26 = 10.
5. In a magic square, every row adds up to 35. One row has 3, 13, and ____. What is the missing number?
19
Subtract 3 + 13 = 16 from 35: 35 − 16 = 19.
6. In a magic square, every row adds up to 50. One row has 15, 19, and ____. What is the missing number?
16
Subtract 15 + 19 = 34 from 50: 50 − 34 = 16.
7. In a magic square, every row adds up to 28. One row has 5, 7, and ____. What is the missing number?
16
Subtract 5 + 7 = 12 from 28: 28 − 12 = 16.
8. In a magic square, every row adds up to 50. One row has 18, 14, and ____. What is the missing number?
18
Subtract 18 + 14 = 32 from 50: 50 − 32 = 18.
9. In a magic square, every row adds up to 32. One row has 18, 6, and ____. What is the missing number?
8
Subtract 18 + 6 = 24 from 32: 32 − 24 = 8.
10. In a magic square, every row adds up to 32. One row has 3, 15, and ____. What is the missing number?
14
Subtract 3 + 15 = 18 from 32: 32 − 18 = 14.
11. In a magic square, every row adds up to 22. One row has 9, 3, and ____. What is the missing number?
10
Subtract 9 + 3 = 12 from 22: 22 − 12 = 10.
12. In a magic square, every row adds up to 21. One row has 4, 7, and ____. What is the missing number?
10
Subtract 4 + 7 = 11 from 21: 21 − 11 = 10.

12 questions · Seed 61 · Age guidance, not curriculum certification