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 40. One row has 19, 6, and ____. What is the missing number?
40 · 19 · 6 · Magic square missing values
2. In a magic square, every row adds up to 42. One row has 15, 20, and ____. What is the missing number?
42 · 15 · 20 · Magic square missing values
3. In a magic square, every row adds up to 28. One row has 3, 9, and ____. What is the missing number?
28 · 3 · 9 · Magic square missing values
4. In a magic square, every row adds up to 44. One row has 15, 10, and ____. What is the missing number?
44 · 15 · 10 · Magic square missing values
5. In a magic square, every row adds up to 26. One row has 19, 5, and ____. What is the missing number?
26 · 19 · 5 · Magic square missing values
6. In a magic square, every row adds up to 29. One row has 16, 10, and ____. What is the missing number?
29 · 16 · 10 · Magic square missing values
7. In a magic square, every row adds up to 33. One row has 9, 15, and ____. What is the missing number?
33 · 9 · 15 · Magic square missing values
8. In a magic square, every row adds up to 39. One row has 11, 16, and ____. What is the missing number?
39 · 11 · 16 · Magic square missing values
9. In a magic square, every row adds up to 18. One row has 7, 9, and ____. What is the missing number?
18 · 7 · 9 · Magic square missing values
10. In a magic square, every row adds up to 24. One row has 4, 9, and ____. What is the missing number?
24 · 4 · 9 · Magic square missing values
11. In a magic square, every row adds up to 37. One row has 10, 16, and ____. What is the missing number?
37 · 10 · 16 · Magic square missing values
12. In a magic square, every row adds up to 21. One row has 3, 13, and ____. What is the missing number?
21 · 3 · 13 · Magic square missing values

12 questions · Seed 104732 · 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 40. One row has 19, 6, and ____. What is the missing number?
15
Subtract 19 + 6 = 25 from 40: 40 − 25 = 15.
2. In a magic square, every row adds up to 42. One row has 15, 20, and ____. What is the missing number?
7
Subtract 15 + 20 = 35 from 42: 42 − 35 = 7.
3. In a magic square, every row adds up to 28. One row has 3, 9, and ____. What is the missing number?
16
Subtract 3 + 9 = 12 from 28: 28 − 12 = 16.
4. In a magic square, every row adds up to 44. One row has 15, 10, and ____. What is the missing number?
19
Subtract 15 + 10 = 25 from 44: 44 − 25 = 19.
5. In a magic square, every row adds up to 26. One row has 19, 5, and ____. What is the missing number?
2
Subtract 19 + 5 = 24 from 26: 26 − 24 = 2.
6. In a magic square, every row adds up to 29. One row has 16, 10, and ____. What is the missing number?
3
Subtract 16 + 10 = 26 from 29: 29 − 26 = 3.
7. In a magic square, every row adds up to 33. One row has 9, 15, and ____. What is the missing number?
9
Subtract 9 + 15 = 24 from 33: 33 − 24 = 9.
8. In a magic square, every row adds up to 39. One row has 11, 16, and ____. What is the missing number?
12
Subtract 11 + 16 = 27 from 39: 39 − 27 = 12.
9. In a magic square, every row adds up to 18. One row has 7, 9, and ____. What is the missing number?
2
Subtract 7 + 9 = 16 from 18: 18 − 16 = 2.
10. In a magic square, every row adds up to 24. One row has 4, 9, and ____. What is the missing number?
11
Subtract 4 + 9 = 13 from 24: 24 − 13 = 11.
11. In a magic square, every row adds up to 37. One row has 10, 16, and ____. What is the missing number?
11
Subtract 10 + 16 = 26 from 37: 37 − 26 = 11.
12. In a magic square, every row adds up to 21. One row has 3, 13, and ____. What is the missing number?
5
Subtract 3 + 13 = 16 from 21: 21 − 16 = 5.

12 questions · Seed 104732 · 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 40. One row has 19, 6, and ____. What is the missing number?
40 · 19 · 6 · Magic square missing values
2. In a magic square, every row adds up to 42. One row has 15, 20, and ____. What is the missing number?
42 · 15 · 20 · Magic square missing values
3. In a magic square, every row adds up to 28. One row has 3, 9, and ____. What is the missing number?
28 · 3 · 9 · Magic square missing values
4. In a magic square, every row adds up to 44. One row has 15, 10, and ____. What is the missing number?
44 · 15 · 10 · Magic square missing values
5. In a magic square, every row adds up to 26. One row has 19, 5, and ____. What is the missing number?
26 · 19 · 5 · Magic square missing values
6. In a magic square, every row adds up to 29. One row has 16, 10, and ____. What is the missing number?
29 · 16 · 10 · Magic square missing values
7. In a magic square, every row adds up to 33. One row has 9, 15, and ____. What is the missing number?
33 · 9 · 15 · Magic square missing values
8. In a magic square, every row adds up to 39. One row has 11, 16, and ____. What is the missing number?
39 · 11 · 16 · Magic square missing values
9. In a magic square, every row adds up to 18. One row has 7, 9, and ____. What is the missing number?
18 · 7 · 9 · Magic square missing values
10. In a magic square, every row adds up to 24. One row has 4, 9, and ____. What is the missing number?
24 · 4 · 9 · Magic square missing values
11. In a magic square, every row adds up to 37. One row has 10, 16, and ____. What is the missing number?
37 · 10 · 16 · Magic square missing values
12. In a magic square, every row adds up to 21. One row has 3, 13, and ____. What is the missing number?
21 · 3 · 13 · Magic square missing values

12 questions · Seed 104732 · 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 40. One row has 19, 6, and ____. What is the missing number?
15
Subtract 19 + 6 = 25 from 40: 40 − 25 = 15.
2. In a magic square, every row adds up to 42. One row has 15, 20, and ____. What is the missing number?
7
Subtract 15 + 20 = 35 from 42: 42 − 35 = 7.
3. In a magic square, every row adds up to 28. One row has 3, 9, and ____. What is the missing number?
16
Subtract 3 + 9 = 12 from 28: 28 − 12 = 16.
4. In a magic square, every row adds up to 44. One row has 15, 10, and ____. What is the missing number?
19
Subtract 15 + 10 = 25 from 44: 44 − 25 = 19.
5. In a magic square, every row adds up to 26. One row has 19, 5, and ____. What is the missing number?
2
Subtract 19 + 5 = 24 from 26: 26 − 24 = 2.
6. In a magic square, every row adds up to 29. One row has 16, 10, and ____. What is the missing number?
3
Subtract 16 + 10 = 26 from 29: 29 − 26 = 3.
7. In a magic square, every row adds up to 33. One row has 9, 15, and ____. What is the missing number?
9
Subtract 9 + 15 = 24 from 33: 33 − 24 = 9.
8. In a magic square, every row adds up to 39. One row has 11, 16, and ____. What is the missing number?
12
Subtract 11 + 16 = 27 from 39: 39 − 27 = 12.
9. In a magic square, every row adds up to 18. One row has 7, 9, and ____. What is the missing number?
2
Subtract 7 + 9 = 16 from 18: 18 − 16 = 2.
10. In a magic square, every row adds up to 24. One row has 4, 9, and ____. What is the missing number?
11
Subtract 4 + 9 = 13 from 24: 24 − 13 = 11.
11. In a magic square, every row adds up to 37. One row has 10, 16, and ____. What is the missing number?
11
Subtract 10 + 16 = 26 from 37: 37 − 26 = 11.
12. In a magic square, every row adds up to 21. One row has 3, 13, and ____. What is the missing number?
5
Subtract 3 + 13 = 16 from 21: 21 − 16 = 5.

12 questions · Seed 104732 · Age guidance, not curriculum certification