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 33. One row has 16, 8, and ____. What is the missing number?
33 · 16 · 8 · Magic square missing values
2. In a magic square, every row adds up to 43. One row has 10, 13, and ____. What is the missing number?
43 · 10 · 13 · Magic square missing values
3. In a magic square, every row adds up to 48. One row has 20, 18, and ____. What is the missing number?
48 · 20 · 18 · Magic square missing values
4. In a magic square, every row adds up to 39. One row has 17, 16, and ____. What is the missing number?
39 · 17 · 16 · Magic square missing values
5. In a magic square, every row adds up to 15. One row has 5, 4, and ____. What is the missing number?
15 · 5 · 4 · Magic square missing values
6. In a magic square, every row adds up to 41. One row has 19, 11, and ____. What is the missing number?
41 · 19 · 11 · Magic square missing values
7. In a magic square, every row adds up to 25. One row has 14, 6, and ____. What is the missing number?
25 · 14 · 6 · Magic square missing values
8. In a magic square, every row adds up to 33. One row has 10, 5, and ____. What is the missing number?
33 · 10 · 5 · Magic square missing values
9. In a magic square, every row adds up to 21. One row has 3, 3, and ____. What is the missing number?
21 · 3 · 3 · Magic square missing values
10. In a magic square, every row adds up to 39. One row has 17, 18, and ____. What is the missing number?
39 · 17 · 18 · Magic square missing values
11. In a magic square, every row adds up to 25. One row has 11, 12, and ____. What is the missing number?
25 · 11 · 12 · Magic square missing values
12. In a magic square, every row adds up to 33. One row has 3, 15, and ____. What is the missing number?
33 · 3 · 15 · Magic square missing values

12 questions · Seed 104744 · 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 33. One row has 16, 8, and ____. What is the missing number?
9
Subtract 16 + 8 = 24 from 33: 33 − 24 = 9.
2. In a magic square, every row adds up to 43. One row has 10, 13, and ____. What is the missing number?
20
Subtract 10 + 13 = 23 from 43: 43 − 23 = 20.
3. In a magic square, every row adds up to 48. One row has 20, 18, and ____. What is the missing number?
10
Subtract 20 + 18 = 38 from 48: 48 − 38 = 10.
4. In a magic square, every row adds up to 39. One row has 17, 16, and ____. What is the missing number?
6
Subtract 17 + 16 = 33 from 39: 39 − 33 = 6.
5. In a magic square, every row adds up to 15. One row has 5, 4, and ____. What is the missing number?
6
Subtract 5 + 4 = 9 from 15: 15 − 9 = 6.
6. In a magic square, every row adds up to 41. One row has 19, 11, and ____. What is the missing number?
11
Subtract 19 + 11 = 30 from 41: 41 − 30 = 11.
7. In a magic square, every row adds up to 25. One row has 14, 6, and ____. What is the missing number?
5
Subtract 14 + 6 = 20 from 25: 25 − 20 = 5.
8. In a magic square, every row adds up to 33. One row has 10, 5, and ____. What is the missing number?
18
Subtract 10 + 5 = 15 from 33: 33 − 15 = 18.
9. In a magic square, every row adds up to 21. One row has 3, 3, and ____. What is the missing number?
15
Subtract 3 + 3 = 6 from 21: 21 − 6 = 15.
10. In a magic square, every row adds up to 39. One row has 17, 18, and ____. What is the missing number?
4
Subtract 17 + 18 = 35 from 39: 39 − 35 = 4.
11. In a magic square, every row adds up to 25. One row has 11, 12, and ____. What is the missing number?
2
Subtract 11 + 12 = 23 from 25: 25 − 23 = 2.
12. In a magic square, every row adds up to 33. One row has 3, 15, and ____. What is the missing number?
15
Subtract 3 + 15 = 18 from 33: 33 − 18 = 15.

12 questions · Seed 104744 · 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 33. One row has 16, 8, and ____. What is the missing number?
33 · 16 · 8 · Magic square missing values
2. In a magic square, every row adds up to 43. One row has 10, 13, and ____. What is the missing number?
43 · 10 · 13 · Magic square missing values
3. In a magic square, every row adds up to 48. One row has 20, 18, and ____. What is the missing number?
48 · 20 · 18 · Magic square missing values
4. In a magic square, every row adds up to 39. One row has 17, 16, and ____. What is the missing number?
39 · 17 · 16 · Magic square missing values
5. In a magic square, every row adds up to 15. One row has 5, 4, and ____. What is the missing number?
15 · 5 · 4 · Magic square missing values
6. In a magic square, every row adds up to 41. One row has 19, 11, and ____. What is the missing number?
41 · 19 · 11 · Magic square missing values
7. In a magic square, every row adds up to 25. One row has 14, 6, and ____. What is the missing number?
25 · 14 · 6 · Magic square missing values
8. In a magic square, every row adds up to 33. One row has 10, 5, and ____. What is the missing number?
33 · 10 · 5 · Magic square missing values
9. In a magic square, every row adds up to 21. One row has 3, 3, and ____. What is the missing number?
21 · 3 · 3 · Magic square missing values
10. In a magic square, every row adds up to 39. One row has 17, 18, and ____. What is the missing number?
39 · 17 · 18 · Magic square missing values
11. In a magic square, every row adds up to 25. One row has 11, 12, and ____. What is the missing number?
25 · 11 · 12 · Magic square missing values
12. In a magic square, every row adds up to 33. One row has 3, 15, and ____. What is the missing number?
33 · 3 · 15 · Magic square missing values

12 questions · Seed 104744 · 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 33. One row has 16, 8, and ____. What is the missing number?
9
Subtract 16 + 8 = 24 from 33: 33 − 24 = 9.
2. In a magic square, every row adds up to 43. One row has 10, 13, and ____. What is the missing number?
20
Subtract 10 + 13 = 23 from 43: 43 − 23 = 20.
3. In a magic square, every row adds up to 48. One row has 20, 18, and ____. What is the missing number?
10
Subtract 20 + 18 = 38 from 48: 48 − 38 = 10.
4. In a magic square, every row adds up to 39. One row has 17, 16, and ____. What is the missing number?
6
Subtract 17 + 16 = 33 from 39: 39 − 33 = 6.
5. In a magic square, every row adds up to 15. One row has 5, 4, and ____. What is the missing number?
6
Subtract 5 + 4 = 9 from 15: 15 − 9 = 6.
6. In a magic square, every row adds up to 41. One row has 19, 11, and ____. What is the missing number?
11
Subtract 19 + 11 = 30 from 41: 41 − 30 = 11.
7. In a magic square, every row adds up to 25. One row has 14, 6, and ____. What is the missing number?
5
Subtract 14 + 6 = 20 from 25: 25 − 20 = 5.
8. In a magic square, every row adds up to 33. One row has 10, 5, and ____. What is the missing number?
18
Subtract 10 + 5 = 15 from 33: 33 − 15 = 18.
9. In a magic square, every row adds up to 21. One row has 3, 3, and ____. What is the missing number?
15
Subtract 3 + 3 = 6 from 21: 21 − 6 = 15.
10. In a magic square, every row adds up to 39. One row has 17, 18, and ____. What is the missing number?
4
Subtract 17 + 18 = 35 from 39: 39 − 35 = 4.
11. In a magic square, every row adds up to 25. One row has 11, 12, and ____. What is the missing number?
2
Subtract 11 + 12 = 23 from 25: 25 − 23 = 2.
12. In a magic square, every row adds up to 33. One row has 3, 15, and ____. What is the missing number?
15
Subtract 3 + 15 = 18 from 33: 33 − 18 = 15.

12 questions · Seed 104744 · Age guidance, not curriculum certification