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 28. One row has 5, 4, and ____. What is the missing number?
28 · 5 · 4 · Magic square missing values
2. In a magic square, every row adds up to 28. One row has 14, 9, and ____. What is the missing number?
28 · 14 · 9 · Magic square missing values
3. In a magic square, every row adds up to 11. One row has 2, 7, and ____. What is the missing number?
11 · 2 · 7 · Magic square missing values
4. In a magic square, every row adds up to 30. One row has 7, 6, and ____. What is the missing number?
30 · 7 · 6 · Magic square missing values
5. In a magic square, every row adds up to 22. One row has 7, 4, and ____. What is the missing number?
22 · 7 · 4 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 11, 13, and ____. What is the missing number?
38 · 11 · 13 · Magic square missing values
7. In a magic square, every row adds up to 25. One row has 19, 4, and ____. What is the missing number?
25 · 19 · 4 · Magic square missing values
8. In a magic square, every row adds up to 40. One row has 4, 18, and ____. What is the missing number?
40 · 4 · 18 · Magic square missing values
9. In a magic square, every row adds up to 37. One row has 18, 13, and ____. What is the missing number?
37 · 18 · 13 · Magic square missing values
10. In a magic square, every row adds up to 26. One row has 12, 12, and ____. What is the missing number?
26 · 12 · 12 · Magic square missing values
11. In a magic square, every row adds up to 34. One row has 14, 7, and ____. What is the missing number?
34 · 14 · 7 · Magic square missing values
12. In a magic square, every row adds up to 11. One row has 5, 2, and ____. What is the missing number?
11 · 5 · 2 · Magic square missing values

12 questions · Seed 104730 · 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 28. One row has 5, 4, and ____. What is the missing number?
19
Subtract 5 + 4 = 9 from 28: 28 − 9 = 19.
2. In a magic square, every row adds up to 28. One row has 14, 9, and ____. What is the missing number?
5
Subtract 14 + 9 = 23 from 28: 28 − 23 = 5.
3. In a magic square, every row adds up to 11. One row has 2, 7, and ____. What is the missing number?
2
Subtract 2 + 7 = 9 from 11: 11 − 9 = 2.
4. In a magic square, every row adds up to 30. One row has 7, 6, and ____. What is the missing number?
17
Subtract 7 + 6 = 13 from 30: 30 − 13 = 17.
5. In a magic square, every row adds up to 22. One row has 7, 4, and ____. What is the missing number?
11
Subtract 7 + 4 = 11 from 22: 22 − 11 = 11.
6. In a magic square, every row adds up to 38. One row has 11, 13, and ____. What is the missing number?
14
Subtract 11 + 13 = 24 from 38: 38 − 24 = 14.
7. In a magic square, every row adds up to 25. One row has 19, 4, and ____. What is the missing number?
2
Subtract 19 + 4 = 23 from 25: 25 − 23 = 2.
8. In a magic square, every row adds up to 40. One row has 4, 18, and ____. What is the missing number?
18
Subtract 4 + 18 = 22 from 40: 40 − 22 = 18.
9. In a magic square, every row adds up to 37. One row has 18, 13, and ____. What is the missing number?
6
Subtract 18 + 13 = 31 from 37: 37 − 31 = 6.
10. In a magic square, every row adds up to 26. One row has 12, 12, and ____. What is the missing number?
2
Subtract 12 + 12 = 24 from 26: 26 − 24 = 2.
11. In a magic square, every row adds up to 34. One row has 14, 7, and ____. What is the missing number?
13
Subtract 14 + 7 = 21 from 34: 34 − 21 = 13.
12. In a magic square, every row adds up to 11. One row has 5, 2, and ____. What is the missing number?
4
Subtract 5 + 2 = 7 from 11: 11 − 7 = 4.

12 questions · Seed 104730 · 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 28. One row has 5, 4, and ____. What is the missing number?
28 · 5 · 4 · Magic square missing values
2. In a magic square, every row adds up to 28. One row has 14, 9, and ____. What is the missing number?
28 · 14 · 9 · Magic square missing values
3. In a magic square, every row adds up to 11. One row has 2, 7, and ____. What is the missing number?
11 · 2 · 7 · Magic square missing values
4. In a magic square, every row adds up to 30. One row has 7, 6, and ____. What is the missing number?
30 · 7 · 6 · Magic square missing values
5. In a magic square, every row adds up to 22. One row has 7, 4, and ____. What is the missing number?
22 · 7 · 4 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 11, 13, and ____. What is the missing number?
38 · 11 · 13 · Magic square missing values
7. In a magic square, every row adds up to 25. One row has 19, 4, and ____. What is the missing number?
25 · 19 · 4 · Magic square missing values
8. In a magic square, every row adds up to 40. One row has 4, 18, and ____. What is the missing number?
40 · 4 · 18 · Magic square missing values
9. In a magic square, every row adds up to 37. One row has 18, 13, and ____. What is the missing number?
37 · 18 · 13 · Magic square missing values
10. In a magic square, every row adds up to 26. One row has 12, 12, and ____. What is the missing number?
26 · 12 · 12 · Magic square missing values
11. In a magic square, every row adds up to 34. One row has 14, 7, and ____. What is the missing number?
34 · 14 · 7 · Magic square missing values
12. In a magic square, every row adds up to 11. One row has 5, 2, and ____. What is the missing number?
11 · 5 · 2 · Magic square missing values

12 questions · Seed 104730 · 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 28. One row has 5, 4, and ____. What is the missing number?
19
Subtract 5 + 4 = 9 from 28: 28 − 9 = 19.
2. In a magic square, every row adds up to 28. One row has 14, 9, and ____. What is the missing number?
5
Subtract 14 + 9 = 23 from 28: 28 − 23 = 5.
3. In a magic square, every row adds up to 11. One row has 2, 7, and ____. What is the missing number?
2
Subtract 2 + 7 = 9 from 11: 11 − 9 = 2.
4. In a magic square, every row adds up to 30. One row has 7, 6, and ____. What is the missing number?
17
Subtract 7 + 6 = 13 from 30: 30 − 13 = 17.
5. In a magic square, every row adds up to 22. One row has 7, 4, and ____. What is the missing number?
11
Subtract 7 + 4 = 11 from 22: 22 − 11 = 11.
6. In a magic square, every row adds up to 38. One row has 11, 13, and ____. What is the missing number?
14
Subtract 11 + 13 = 24 from 38: 38 − 24 = 14.
7. In a magic square, every row adds up to 25. One row has 19, 4, and ____. What is the missing number?
2
Subtract 19 + 4 = 23 from 25: 25 − 23 = 2.
8. In a magic square, every row adds up to 40. One row has 4, 18, and ____. What is the missing number?
18
Subtract 4 + 18 = 22 from 40: 40 − 22 = 18.
9. In a magic square, every row adds up to 37. One row has 18, 13, and ____. What is the missing number?
6
Subtract 18 + 13 = 31 from 37: 37 − 31 = 6.
10. In a magic square, every row adds up to 26. One row has 12, 12, and ____. What is the missing number?
2
Subtract 12 + 12 = 24 from 26: 26 − 24 = 2.
11. In a magic square, every row adds up to 34. One row has 14, 7, and ____. What is the missing number?
13
Subtract 14 + 7 = 21 from 34: 34 − 21 = 13.
12. In a magic square, every row adds up to 11. One row has 5, 2, and ____. What is the missing number?
4
Subtract 5 + 2 = 7 from 11: 11 − 7 = 4.

12 questions · Seed 104730 · Age guidance, not curriculum certification