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 26. One row has 13, 8, and ____. What is the missing number?
26 · 13 · 8 · Magic square missing values
2. In a magic square, every row adds up to 54. One row has 16, 18, and ____. What is the missing number?
54 · 16 · 18 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 7, 3, and ____. What is the missing number?
24 · 7 · 3 · Magic square missing values
4. In a magic square, every row adds up to 35. One row has 7, 16, and ____. What is the missing number?
35 · 7 · 16 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 20, 5, and ____. What is the missing number?
30 · 20 · 5 · Magic square missing values
6. In a magic square, every row adds up to 40. One row has 13, 9, and ____. What is the missing number?
40 · 13 · 9 · Magic square missing values
7. In a magic square, every row adds up to 33. One row has 18, 6, and ____. What is the missing number?
33 · 18 · 6 · Magic square missing values
8. In a magic square, every row adds up to 40. One row has 17, 20, and ____. What is the missing number?
40 · 17 · 20 · Magic square missing values
9. In a magic square, every row adds up to 38. One row has 16, 6, and ____. What is the missing number?
38 · 16 · 6 · Magic square missing values
10. In a magic square, every row adds up to 30. One row has 13, 2, and ____. What is the missing number?
30 · 13 · 2 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 6, 12, and ____. What is the missing number?
30 · 6 · 12 · Magic square missing values
12. In a magic square, every row adds up to 16. One row has 2, 6, and ____. What is the missing number?
16 · 2 · 6 · Magic square missing values

12 questions · Seed 80 · 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 26. One row has 13, 8, and ____. What is the missing number?
5
Subtract 13 + 8 = 21 from 26: 26 − 21 = 5.
2. In a magic square, every row adds up to 54. One row has 16, 18, and ____. What is the missing number?
20
Subtract 16 + 18 = 34 from 54: 54 − 34 = 20.
3. In a magic square, every row adds up to 24. One row has 7, 3, and ____. What is the missing number?
14
Subtract 7 + 3 = 10 from 24: 24 − 10 = 14.
4. In a magic square, every row adds up to 35. One row has 7, 16, and ____. What is the missing number?
12
Subtract 7 + 16 = 23 from 35: 35 − 23 = 12.
5. In a magic square, every row adds up to 30. One row has 20, 5, and ____. What is the missing number?
5
Subtract 20 + 5 = 25 from 30: 30 − 25 = 5.
6. In a magic square, every row adds up to 40. One row has 13, 9, and ____. What is the missing number?
18
Subtract 13 + 9 = 22 from 40: 40 − 22 = 18.
7. In a magic square, every row adds up to 33. One row has 18, 6, and ____. What is the missing number?
9
Subtract 18 + 6 = 24 from 33: 33 − 24 = 9.
8. In a magic square, every row adds up to 40. One row has 17, 20, and ____. What is the missing number?
3
Subtract 17 + 20 = 37 from 40: 40 − 37 = 3.
9. In a magic square, every row adds up to 38. One row has 16, 6, and ____. What is the missing number?
16
Subtract 16 + 6 = 22 from 38: 38 − 22 = 16.
10. In a magic square, every row adds up to 30. One row has 13, 2, and ____. What is the missing number?
15
Subtract 13 + 2 = 15 from 30: 30 − 15 = 15.
11. In a magic square, every row adds up to 30. One row has 6, 12, and ____. What is the missing number?
12
Subtract 6 + 12 = 18 from 30: 30 − 18 = 12.
12. In a magic square, every row adds up to 16. One row has 2, 6, and ____. What is the missing number?
8
Subtract 2 + 6 = 8 from 16: 16 − 8 = 8.

12 questions · Seed 80 · 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 26. One row has 13, 8, and ____. What is the missing number?
26 · 13 · 8 · Magic square missing values
2. In a magic square, every row adds up to 54. One row has 16, 18, and ____. What is the missing number?
54 · 16 · 18 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 7, 3, and ____. What is the missing number?
24 · 7 · 3 · Magic square missing values
4. In a magic square, every row adds up to 35. One row has 7, 16, and ____. What is the missing number?
35 · 7 · 16 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 20, 5, and ____. What is the missing number?
30 · 20 · 5 · Magic square missing values
6. In a magic square, every row adds up to 40. One row has 13, 9, and ____. What is the missing number?
40 · 13 · 9 · Magic square missing values
7. In a magic square, every row adds up to 33. One row has 18, 6, and ____. What is the missing number?
33 · 18 · 6 · Magic square missing values
8. In a magic square, every row adds up to 40. One row has 17, 20, and ____. What is the missing number?
40 · 17 · 20 · Magic square missing values
9. In a magic square, every row adds up to 38. One row has 16, 6, and ____. What is the missing number?
38 · 16 · 6 · Magic square missing values
10. In a magic square, every row adds up to 30. One row has 13, 2, and ____. What is the missing number?
30 · 13 · 2 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 6, 12, and ____. What is the missing number?
30 · 6 · 12 · Magic square missing values
12. In a magic square, every row adds up to 16. One row has 2, 6, and ____. What is the missing number?
16 · 2 · 6 · Magic square missing values

12 questions · Seed 80 · 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 26. One row has 13, 8, and ____. What is the missing number?
5
Subtract 13 + 8 = 21 from 26: 26 − 21 = 5.
2. In a magic square, every row adds up to 54. One row has 16, 18, and ____. What is the missing number?
20
Subtract 16 + 18 = 34 from 54: 54 − 34 = 20.
3. In a magic square, every row adds up to 24. One row has 7, 3, and ____. What is the missing number?
14
Subtract 7 + 3 = 10 from 24: 24 − 10 = 14.
4. In a magic square, every row adds up to 35. One row has 7, 16, and ____. What is the missing number?
12
Subtract 7 + 16 = 23 from 35: 35 − 23 = 12.
5. In a magic square, every row adds up to 30. One row has 20, 5, and ____. What is the missing number?
5
Subtract 20 + 5 = 25 from 30: 30 − 25 = 5.
6. In a magic square, every row adds up to 40. One row has 13, 9, and ____. What is the missing number?
18
Subtract 13 + 9 = 22 from 40: 40 − 22 = 18.
7. In a magic square, every row adds up to 33. One row has 18, 6, and ____. What is the missing number?
9
Subtract 18 + 6 = 24 from 33: 33 − 24 = 9.
8. In a magic square, every row adds up to 40. One row has 17, 20, and ____. What is the missing number?
3
Subtract 17 + 20 = 37 from 40: 40 − 37 = 3.
9. In a magic square, every row adds up to 38. One row has 16, 6, and ____. What is the missing number?
16
Subtract 16 + 6 = 22 from 38: 38 − 22 = 16.
10. In a magic square, every row adds up to 30. One row has 13, 2, and ____. What is the missing number?
15
Subtract 13 + 2 = 15 from 30: 30 − 15 = 15.
11. In a magic square, every row adds up to 30. One row has 6, 12, and ____. What is the missing number?
12
Subtract 6 + 12 = 18 from 30: 30 − 18 = 12.
12. In a magic square, every row adds up to 16. One row has 2, 6, and ____. What is the missing number?
8
Subtract 2 + 6 = 8 from 16: 16 − 8 = 8.

12 questions · Seed 80 · Age guidance, not curriculum certification