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 14. One row has 5, 7, and ____. What is the missing number?
14 · 5 · 7 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 15, 2, and ____. What is the missing number?
24 · 15 · 2 · Magic square missing values
3. In a magic square, every row adds up to 26. One row has 2, 15, and ____. What is the missing number?
26 · 2 · 15 · Magic square missing values
4. In a magic square, every row adds up to 43. One row has 13, 17, and ____. What is the missing number?
43 · 13 · 17 · Magic square missing values
5. In a magic square, every row adds up to 40. One row has 9, 13, and ____. What is the missing number?
40 · 9 · 13 · Magic square missing values
6. In a magic square, every row adds up to 40. One row has 13, 20, and ____. What is the missing number?
40 · 13 · 20 · Magic square missing values
7. In a magic square, every row adds up to 39. One row has 5, 16, and ____. What is the missing number?
39 · 5 · 16 · Magic square missing values
8. In a magic square, every row adds up to 19. One row has 9, 3, and ____. What is the missing number?
19 · 9 · 3 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 10, 20, and ____. What is the missing number?
36 · 10 · 20 · Magic square missing values
10. In a magic square, every row adds up to 27. One row has 2, 10, and ____. What is the missing number?
27 · 2 · 10 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 4, 12, and ____. What is the missing number?
26 · 4 · 12 · Magic square missing values
12. In a magic square, every row adds up to 32. One row has 11, 13, and ____. What is the missing number?
32 · 11 · 13 · Magic square missing values

12 questions · Seed 82 · 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 14. One row has 5, 7, and ____. What is the missing number?
2
Subtract 5 + 7 = 12 from 14: 14 − 12 = 2.
2. In a magic square, every row adds up to 24. One row has 15, 2, and ____. What is the missing number?
7
Subtract 15 + 2 = 17 from 24: 24 − 17 = 7.
3. In a magic square, every row adds up to 26. One row has 2, 15, and ____. What is the missing number?
9
Subtract 2 + 15 = 17 from 26: 26 − 17 = 9.
4. In a magic square, every row adds up to 43. One row has 13, 17, and ____. What is the missing number?
13
Subtract 13 + 17 = 30 from 43: 43 − 30 = 13.
5. In a magic square, every row adds up to 40. One row has 9, 13, and ____. What is the missing number?
18
Subtract 9 + 13 = 22 from 40: 40 − 22 = 18.
6. In a magic square, every row adds up to 40. One row has 13, 20, and ____. What is the missing number?
7
Subtract 13 + 20 = 33 from 40: 40 − 33 = 7.
7. In a magic square, every row adds up to 39. One row has 5, 16, and ____. What is the missing number?
18
Subtract 5 + 16 = 21 from 39: 39 − 21 = 18.
8. In a magic square, every row adds up to 19. One row has 9, 3, and ____. What is the missing number?
7
Subtract 9 + 3 = 12 from 19: 19 − 12 = 7.
9. In a magic square, every row adds up to 36. One row has 10, 20, and ____. What is the missing number?
6
Subtract 10 + 20 = 30 from 36: 36 − 30 = 6.
10. In a magic square, every row adds up to 27. One row has 2, 10, and ____. What is the missing number?
15
Subtract 2 + 10 = 12 from 27: 27 − 12 = 15.
11. In a magic square, every row adds up to 26. One row has 4, 12, and ____. What is the missing number?
10
Subtract 4 + 12 = 16 from 26: 26 − 16 = 10.
12. In a magic square, every row adds up to 32. One row has 11, 13, and ____. What is the missing number?
8
Subtract 11 + 13 = 24 from 32: 32 − 24 = 8.

12 questions · Seed 82 · 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 14. One row has 5, 7, and ____. What is the missing number?
14 · 5 · 7 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 15, 2, and ____. What is the missing number?
24 · 15 · 2 · Magic square missing values
3. In a magic square, every row adds up to 26. One row has 2, 15, and ____. What is the missing number?
26 · 2 · 15 · Magic square missing values
4. In a magic square, every row adds up to 43. One row has 13, 17, and ____. What is the missing number?
43 · 13 · 17 · Magic square missing values
5. In a magic square, every row adds up to 40. One row has 9, 13, and ____. What is the missing number?
40 · 9 · 13 · Magic square missing values
6. In a magic square, every row adds up to 40. One row has 13, 20, and ____. What is the missing number?
40 · 13 · 20 · Magic square missing values
7. In a magic square, every row adds up to 39. One row has 5, 16, and ____. What is the missing number?
39 · 5 · 16 · Magic square missing values
8. In a magic square, every row adds up to 19. One row has 9, 3, and ____. What is the missing number?
19 · 9 · 3 · Magic square missing values
9. In a magic square, every row adds up to 36. One row has 10, 20, and ____. What is the missing number?
36 · 10 · 20 · Magic square missing values
10. In a magic square, every row adds up to 27. One row has 2, 10, and ____. What is the missing number?
27 · 2 · 10 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 4, 12, and ____. What is the missing number?
26 · 4 · 12 · Magic square missing values
12. In a magic square, every row adds up to 32. One row has 11, 13, and ____. What is the missing number?
32 · 11 · 13 · Magic square missing values

12 questions · Seed 82 · 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 14. One row has 5, 7, and ____. What is the missing number?
2
Subtract 5 + 7 = 12 from 14: 14 − 12 = 2.
2. In a magic square, every row adds up to 24. One row has 15, 2, and ____. What is the missing number?
7
Subtract 15 + 2 = 17 from 24: 24 − 17 = 7.
3. In a magic square, every row adds up to 26. One row has 2, 15, and ____. What is the missing number?
9
Subtract 2 + 15 = 17 from 26: 26 − 17 = 9.
4. In a magic square, every row adds up to 43. One row has 13, 17, and ____. What is the missing number?
13
Subtract 13 + 17 = 30 from 43: 43 − 30 = 13.
5. In a magic square, every row adds up to 40. One row has 9, 13, and ____. What is the missing number?
18
Subtract 9 + 13 = 22 from 40: 40 − 22 = 18.
6. In a magic square, every row adds up to 40. One row has 13, 20, and ____. What is the missing number?
7
Subtract 13 + 20 = 33 from 40: 40 − 33 = 7.
7. In a magic square, every row adds up to 39. One row has 5, 16, and ____. What is the missing number?
18
Subtract 5 + 16 = 21 from 39: 39 − 21 = 18.
8. In a magic square, every row adds up to 19. One row has 9, 3, and ____. What is the missing number?
7
Subtract 9 + 3 = 12 from 19: 19 − 12 = 7.
9. In a magic square, every row adds up to 36. One row has 10, 20, and ____. What is the missing number?
6
Subtract 10 + 20 = 30 from 36: 36 − 30 = 6.
10. In a magic square, every row adds up to 27. One row has 2, 10, and ____. What is the missing number?
15
Subtract 2 + 10 = 12 from 27: 27 − 12 = 15.
11. In a magic square, every row adds up to 26. One row has 4, 12, and ____. What is the missing number?
10
Subtract 4 + 12 = 16 from 26: 26 − 16 = 10.
12. In a magic square, every row adds up to 32. One row has 11, 13, and ____. What is the missing number?
8
Subtract 11 + 13 = 24 from 32: 32 − 24 = 8.

12 questions · Seed 82 · Age guidance, not curriculum certification