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 29. One row has 8, 13, and ____. What is the missing number?
29 · 8 · 13 · Magic square missing values
2. In a magic square, every row adds up to 38. One row has 5, 13, and ____. What is the missing number?
38 · 5 · 13 · Magic square missing values
3. In a magic square, every row adds up to 35. One row has 4, 11, and ____. What is the missing number?
35 · 4 · 11 · Magic square missing values
4. In a magic square, every row adds up to 38. One row has 15, 13, and ____. What is the missing number?
38 · 15 · 13 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 18, 8, and ____. What is the missing number?
30 · 18 · 8 · Magic square missing values
6. In a magic square, every row adds up to 48. One row has 20, 19, and ____. What is the missing number?
48 · 20 · 19 · Magic square missing values
7. In a magic square, every row adds up to 22. One row has 3, 13, and ____. What is the missing number?
22 · 3 · 13 · Magic square missing values
8. In a magic square, every row adds up to 26. One row has 14, 6, and ____. What is the missing number?
26 · 14 · 6 · Magic square missing values
9. In a magic square, every row adds up to 40. One row has 18, 5, and ____. What is the missing number?
40 · 18 · 5 · Magic square missing values
10. In a magic square, every row adds up to 24. One row has 9, 5, and ____. What is the missing number?
24 · 9 · 5 · Magic square missing values
11. In a magic square, every row adds up to 38. One row has 12, 6, and ____. What is the missing number?
38 · 12 · 6 · Magic square missing values
12. In a magic square, every row adds up to 23. One row has 4, 7, and ____. What is the missing number?
23 · 4 · 7 · Magic square missing values

12 questions · Seed 104734 · 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 29. One row has 8, 13, and ____. What is the missing number?
8
Subtract 8 + 13 = 21 from 29: 29 − 21 = 8.
2. In a magic square, every row adds up to 38. One row has 5, 13, and ____. What is the missing number?
20
Subtract 5 + 13 = 18 from 38: 38 − 18 = 20.
3. In a magic square, every row adds up to 35. One row has 4, 11, and ____. What is the missing number?
20
Subtract 4 + 11 = 15 from 35: 35 − 15 = 20.
4. In a magic square, every row adds up to 38. One row has 15, 13, and ____. What is the missing number?
10
Subtract 15 + 13 = 28 from 38: 38 − 28 = 10.
5. In a magic square, every row adds up to 30. One row has 18, 8, and ____. What is the missing number?
4
Subtract 18 + 8 = 26 from 30: 30 − 26 = 4.
6. In a magic square, every row adds up to 48. One row has 20, 19, and ____. What is the missing number?
9
Subtract 20 + 19 = 39 from 48: 48 − 39 = 9.
7. In a magic square, every row adds up to 22. One row has 3, 13, and ____. What is the missing number?
6
Subtract 3 + 13 = 16 from 22: 22 − 16 = 6.
8. In a magic square, every row adds up to 26. One row has 14, 6, and ____. What is the missing number?
6
Subtract 14 + 6 = 20 from 26: 26 − 20 = 6.
9. In a magic square, every row adds up to 40. One row has 18, 5, and ____. What is the missing number?
17
Subtract 18 + 5 = 23 from 40: 40 − 23 = 17.
10. In a magic square, every row adds up to 24. One row has 9, 5, and ____. What is the missing number?
10
Subtract 9 + 5 = 14 from 24: 24 − 14 = 10.
11. In a magic square, every row adds up to 38. One row has 12, 6, and ____. What is the missing number?
20
Subtract 12 + 6 = 18 from 38: 38 − 18 = 20.
12. In a magic square, every row adds up to 23. One row has 4, 7, and ____. What is the missing number?
12
Subtract 4 + 7 = 11 from 23: 23 − 11 = 12.

12 questions · Seed 104734 · 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 29. One row has 8, 13, and ____. What is the missing number?
29 · 8 · 13 · Magic square missing values
2. In a magic square, every row adds up to 38. One row has 5, 13, and ____. What is the missing number?
38 · 5 · 13 · Magic square missing values
3. In a magic square, every row adds up to 35. One row has 4, 11, and ____. What is the missing number?
35 · 4 · 11 · Magic square missing values
4. In a magic square, every row adds up to 38. One row has 15, 13, and ____. What is the missing number?
38 · 15 · 13 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 18, 8, and ____. What is the missing number?
30 · 18 · 8 · Magic square missing values
6. In a magic square, every row adds up to 48. One row has 20, 19, and ____. What is the missing number?
48 · 20 · 19 · Magic square missing values
7. In a magic square, every row adds up to 22. One row has 3, 13, and ____. What is the missing number?
22 · 3 · 13 · Magic square missing values
8. In a magic square, every row adds up to 26. One row has 14, 6, and ____. What is the missing number?
26 · 14 · 6 · Magic square missing values
9. In a magic square, every row adds up to 40. One row has 18, 5, and ____. What is the missing number?
40 · 18 · 5 · Magic square missing values
10. In a magic square, every row adds up to 24. One row has 9, 5, and ____. What is the missing number?
24 · 9 · 5 · Magic square missing values
11. In a magic square, every row adds up to 38. One row has 12, 6, and ____. What is the missing number?
38 · 12 · 6 · Magic square missing values
12. In a magic square, every row adds up to 23. One row has 4, 7, and ____. What is the missing number?
23 · 4 · 7 · Magic square missing values

12 questions · Seed 104734 · 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 29. One row has 8, 13, and ____. What is the missing number?
8
Subtract 8 + 13 = 21 from 29: 29 − 21 = 8.
2. In a magic square, every row adds up to 38. One row has 5, 13, and ____. What is the missing number?
20
Subtract 5 + 13 = 18 from 38: 38 − 18 = 20.
3. In a magic square, every row adds up to 35. One row has 4, 11, and ____. What is the missing number?
20
Subtract 4 + 11 = 15 from 35: 35 − 15 = 20.
4. In a magic square, every row adds up to 38. One row has 15, 13, and ____. What is the missing number?
10
Subtract 15 + 13 = 28 from 38: 38 − 28 = 10.
5. In a magic square, every row adds up to 30. One row has 18, 8, and ____. What is the missing number?
4
Subtract 18 + 8 = 26 from 30: 30 − 26 = 4.
6. In a magic square, every row adds up to 48. One row has 20, 19, and ____. What is the missing number?
9
Subtract 20 + 19 = 39 from 48: 48 − 39 = 9.
7. In a magic square, every row adds up to 22. One row has 3, 13, and ____. What is the missing number?
6
Subtract 3 + 13 = 16 from 22: 22 − 16 = 6.
8. In a magic square, every row adds up to 26. One row has 14, 6, and ____. What is the missing number?
6
Subtract 14 + 6 = 20 from 26: 26 − 20 = 6.
9. In a magic square, every row adds up to 40. One row has 18, 5, and ____. What is the missing number?
17
Subtract 18 + 5 = 23 from 40: 40 − 23 = 17.
10. In a magic square, every row adds up to 24. One row has 9, 5, and ____. What is the missing number?
10
Subtract 9 + 5 = 14 from 24: 24 − 14 = 10.
11. In a magic square, every row adds up to 38. One row has 12, 6, and ____. What is the missing number?
20
Subtract 12 + 6 = 18 from 38: 38 − 18 = 20.
12. In a magic square, every row adds up to 23. One row has 4, 7, and ____. What is the missing number?
12
Subtract 4 + 7 = 11 from 23: 23 − 11 = 12.

12 questions · Seed 104734 · Age guidance, not curriculum certification