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 22. One row has 9, 7, and ____. What is the missing number?
22 · 9 · 7 · Magic square missing values
2. In a magic square, every row adds up to 28. One row has 9, 16, and ____. What is the missing number?
28 · 9 · 16 · Magic square missing values
3. In a magic square, every row adds up to 40. One row has 16, 9, and ____. What is the missing number?
40 · 16 · 9 · Magic square missing values
4. In a magic square, every row adds up to 25. One row has 9, 7, and ____. What is the missing number?
25 · 9 · 7 · Magic square missing values
5. In a magic square, every row adds up to 42. One row has 16, 10, and ____. What is the missing number?
42 · 16 · 10 · Magic square missing values
6. In a magic square, every row adds up to 39. One row has 4, 17, and ____. What is the missing number?
39 · 4 · 17 · Magic square missing values
7. In a magic square, every row adds up to 24. One row has 7, 12, and ____. What is the missing number?
24 · 7 · 12 · Magic square missing values
8. In a magic square, every row adds up to 35. One row has 10, 5, and ____. What is the missing number?
35 · 10 · 5 · Magic square missing values
9. In a magic square, every row adds up to 27. One row has 16, 3, and ____. What is the missing number?
27 · 16 · 3 · Magic square missing values
10. In a magic square, every row adds up to 22. One row has 4, 9, and ____. What is the missing number?
22 · 4 · 9 · Magic square missing values
11. In a magic square, every row adds up to 34. One row has 3, 11, and ____. What is the missing number?
34 · 3 · 11 · Magic square missing values
12. In a magic square, every row adds up to 42. One row has 7, 16, and ____. What is the missing number?
42 · 7 · 16 · Magic square missing values

12 questions · Seed 52 · 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 22. One row has 9, 7, and ____. What is the missing number?
6
Subtract 9 + 7 = 16 from 22: 22 − 16 = 6.
2. In a magic square, every row adds up to 28. One row has 9, 16, and ____. What is the missing number?
3
Subtract 9 + 16 = 25 from 28: 28 − 25 = 3.
3. In a magic square, every row adds up to 40. One row has 16, 9, and ____. What is the missing number?
15
Subtract 16 + 9 = 25 from 40: 40 − 25 = 15.
4. In a magic square, every row adds up to 25. One row has 9, 7, and ____. What is the missing number?
9
Subtract 9 + 7 = 16 from 25: 25 − 16 = 9.
5. In a magic square, every row adds up to 42. One row has 16, 10, and ____. What is the missing number?
16
Subtract 16 + 10 = 26 from 42: 42 − 26 = 16.
6. In a magic square, every row adds up to 39. One row has 4, 17, and ____. What is the missing number?
18
Subtract 4 + 17 = 21 from 39: 39 − 21 = 18.
7. In a magic square, every row adds up to 24. One row has 7, 12, and ____. What is the missing number?
5
Subtract 7 + 12 = 19 from 24: 24 − 19 = 5.
8. In a magic square, every row adds up to 35. One row has 10, 5, and ____. What is the missing number?
20
Subtract 10 + 5 = 15 from 35: 35 − 15 = 20.
9. In a magic square, every row adds up to 27. One row has 16, 3, and ____. What is the missing number?
8
Subtract 16 + 3 = 19 from 27: 27 − 19 = 8.
10. In a magic square, every row adds up to 22. One row has 4, 9, and ____. What is the missing number?
9
Subtract 4 + 9 = 13 from 22: 22 − 13 = 9.
11. In a magic square, every row adds up to 34. One row has 3, 11, and ____. What is the missing number?
20
Subtract 3 + 11 = 14 from 34: 34 − 14 = 20.
12. In a magic square, every row adds up to 42. One row has 7, 16, and ____. What is the missing number?
19
Subtract 7 + 16 = 23 from 42: 42 − 23 = 19.

12 questions · Seed 52 · 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 22. One row has 9, 7, and ____. What is the missing number?
22 · 9 · 7 · Magic square missing values
2. In a magic square, every row adds up to 28. One row has 9, 16, and ____. What is the missing number?
28 · 9 · 16 · Magic square missing values
3. In a magic square, every row adds up to 40. One row has 16, 9, and ____. What is the missing number?
40 · 16 · 9 · Magic square missing values
4. In a magic square, every row adds up to 25. One row has 9, 7, and ____. What is the missing number?
25 · 9 · 7 · Magic square missing values
5. In a magic square, every row adds up to 42. One row has 16, 10, and ____. What is the missing number?
42 · 16 · 10 · Magic square missing values
6. In a magic square, every row adds up to 39. One row has 4, 17, and ____. What is the missing number?
39 · 4 · 17 · Magic square missing values
7. In a magic square, every row adds up to 24. One row has 7, 12, and ____. What is the missing number?
24 · 7 · 12 · Magic square missing values
8. In a magic square, every row adds up to 35. One row has 10, 5, and ____. What is the missing number?
35 · 10 · 5 · Magic square missing values
9. In a magic square, every row adds up to 27. One row has 16, 3, and ____. What is the missing number?
27 · 16 · 3 · Magic square missing values
10. In a magic square, every row adds up to 22. One row has 4, 9, and ____. What is the missing number?
22 · 4 · 9 · Magic square missing values
11. In a magic square, every row adds up to 34. One row has 3, 11, and ____. What is the missing number?
34 · 3 · 11 · Magic square missing values
12. In a magic square, every row adds up to 42. One row has 7, 16, and ____. What is the missing number?
42 · 7 · 16 · Magic square missing values

12 questions · Seed 52 · 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 22. One row has 9, 7, and ____. What is the missing number?
6
Subtract 9 + 7 = 16 from 22: 22 − 16 = 6.
2. In a magic square, every row adds up to 28. One row has 9, 16, and ____. What is the missing number?
3
Subtract 9 + 16 = 25 from 28: 28 − 25 = 3.
3. In a magic square, every row adds up to 40. One row has 16, 9, and ____. What is the missing number?
15
Subtract 16 + 9 = 25 from 40: 40 − 25 = 15.
4. In a magic square, every row adds up to 25. One row has 9, 7, and ____. What is the missing number?
9
Subtract 9 + 7 = 16 from 25: 25 − 16 = 9.
5. In a magic square, every row adds up to 42. One row has 16, 10, and ____. What is the missing number?
16
Subtract 16 + 10 = 26 from 42: 42 − 26 = 16.
6. In a magic square, every row adds up to 39. One row has 4, 17, and ____. What is the missing number?
18
Subtract 4 + 17 = 21 from 39: 39 − 21 = 18.
7. In a magic square, every row adds up to 24. One row has 7, 12, and ____. What is the missing number?
5
Subtract 7 + 12 = 19 from 24: 24 − 19 = 5.
8. In a magic square, every row adds up to 35. One row has 10, 5, and ____. What is the missing number?
20
Subtract 10 + 5 = 15 from 35: 35 − 15 = 20.
9. In a magic square, every row adds up to 27. One row has 16, 3, and ____. What is the missing number?
8
Subtract 16 + 3 = 19 from 27: 27 − 19 = 8.
10. In a magic square, every row adds up to 22. One row has 4, 9, and ____. What is the missing number?
9
Subtract 4 + 9 = 13 from 22: 22 − 13 = 9.
11. In a magic square, every row adds up to 34. One row has 3, 11, and ____. What is the missing number?
20
Subtract 3 + 11 = 14 from 34: 34 − 14 = 20.
12. In a magic square, every row adds up to 42. One row has 7, 16, and ____. What is the missing number?
19
Subtract 7 + 16 = 23 from 42: 42 − 23 = 19.

12 questions · Seed 52 · Age guidance, not curriculum certification