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 48. One row has 14, 18, and ____. What is the missing number?
48 · 14 · 18 · Magic square missing values
2. In a magic square, every row adds up to 22. One row has 12, 3, and ____. What is the missing number?
22 · 12 · 3 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 3, 13, and ____. What is the missing number?
24 · 3 · 13 · Magic square missing values
4. In a magic square, every row adds up to 39. One row has 17, 2, and ____. What is the missing number?
39 · 17 · 2 · Magic square missing values
5. In a magic square, every row adds up to 23. One row has 3, 12, and ____. What is the missing number?
23 · 3 · 12 · Magic square missing values
6. In a magic square, every row adds up to 24. One row has 4, 17, and ____. What is the missing number?
24 · 4 · 17 · Magic square missing values
7. In a magic square, every row adds up to 27. One row has 20, 3, and ____. What is the missing number?
27 · 20 · 3 · Magic square missing values
8. In a magic square, every row adds up to 33. One row has 14, 6, and ____. What is the missing number?
33 · 14 · 6 · Magic square missing values
9. In a magic square, every row adds up to 41. One row has 10, 19, and ____. What is the missing number?
41 · 10 · 19 · Magic square missing values
10. In a magic square, every row adds up to 27. One row has 14, 9, and ____. What is the missing number?
27 · 14 · 9 · Magic square missing values
11. In a magic square, every row adds up to 42. One row has 15, 17, and ____. What is the missing number?
42 · 15 · 17 · Magic square missing values
12. In a magic square, every row adds up to 37. One row has 14, 18, and ____. What is the missing number?
37 · 14 · 18 · Magic square missing values

12 questions · Seed 84 · 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 48. One row has 14, 18, and ____. What is the missing number?
16
Subtract 14 + 18 = 32 from 48: 48 − 32 = 16.
2. In a magic square, every row adds up to 22. One row has 12, 3, and ____. What is the missing number?
7
Subtract 12 + 3 = 15 from 22: 22 − 15 = 7.
3. In a magic square, every row adds up to 24. One row has 3, 13, and ____. What is the missing number?
8
Subtract 3 + 13 = 16 from 24: 24 − 16 = 8.
4. In a magic square, every row adds up to 39. One row has 17, 2, and ____. What is the missing number?
20
Subtract 17 + 2 = 19 from 39: 39 − 19 = 20.
5. In a magic square, every row adds up to 23. One row has 3, 12, and ____. What is the missing number?
8
Subtract 3 + 12 = 15 from 23: 23 − 15 = 8.
6. In a magic square, every row adds up to 24. One row has 4, 17, and ____. What is the missing number?
3
Subtract 4 + 17 = 21 from 24: 24 − 21 = 3.
7. In a magic square, every row adds up to 27. One row has 20, 3, and ____. What is the missing number?
4
Subtract 20 + 3 = 23 from 27: 27 − 23 = 4.
8. In a magic square, every row adds up to 33. One row has 14, 6, and ____. What is the missing number?
13
Subtract 14 + 6 = 20 from 33: 33 − 20 = 13.
9. In a magic square, every row adds up to 41. One row has 10, 19, and ____. What is the missing number?
12
Subtract 10 + 19 = 29 from 41: 41 − 29 = 12.
10. In a magic square, every row adds up to 27. One row has 14, 9, and ____. What is the missing number?
4
Subtract 14 + 9 = 23 from 27: 27 − 23 = 4.
11. In a magic square, every row adds up to 42. One row has 15, 17, and ____. What is the missing number?
10
Subtract 15 + 17 = 32 from 42: 42 − 32 = 10.
12. In a magic square, every row adds up to 37. One row has 14, 18, and ____. What is the missing number?
5
Subtract 14 + 18 = 32 from 37: 37 − 32 = 5.

12 questions · Seed 84 · 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 48. One row has 14, 18, and ____. What is the missing number?
48 · 14 · 18 · Magic square missing values
2. In a magic square, every row adds up to 22. One row has 12, 3, and ____. What is the missing number?
22 · 12 · 3 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 3, 13, and ____. What is the missing number?
24 · 3 · 13 · Magic square missing values
4. In a magic square, every row adds up to 39. One row has 17, 2, and ____. What is the missing number?
39 · 17 · 2 · Magic square missing values
5. In a magic square, every row adds up to 23. One row has 3, 12, and ____. What is the missing number?
23 · 3 · 12 · Magic square missing values
6. In a magic square, every row adds up to 24. One row has 4, 17, and ____. What is the missing number?
24 · 4 · 17 · Magic square missing values
7. In a magic square, every row adds up to 27. One row has 20, 3, and ____. What is the missing number?
27 · 20 · 3 · Magic square missing values
8. In a magic square, every row adds up to 33. One row has 14, 6, and ____. What is the missing number?
33 · 14 · 6 · Magic square missing values
9. In a magic square, every row adds up to 41. One row has 10, 19, and ____. What is the missing number?
41 · 10 · 19 · Magic square missing values
10. In a magic square, every row adds up to 27. One row has 14, 9, and ____. What is the missing number?
27 · 14 · 9 · Magic square missing values
11. In a magic square, every row adds up to 42. One row has 15, 17, and ____. What is the missing number?
42 · 15 · 17 · Magic square missing values
12. In a magic square, every row adds up to 37. One row has 14, 18, and ____. What is the missing number?
37 · 14 · 18 · Magic square missing values

12 questions · Seed 84 · 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 48. One row has 14, 18, and ____. What is the missing number?
16
Subtract 14 + 18 = 32 from 48: 48 − 32 = 16.
2. In a magic square, every row adds up to 22. One row has 12, 3, and ____. What is the missing number?
7
Subtract 12 + 3 = 15 from 22: 22 − 15 = 7.
3. In a magic square, every row adds up to 24. One row has 3, 13, and ____. What is the missing number?
8
Subtract 3 + 13 = 16 from 24: 24 − 16 = 8.
4. In a magic square, every row adds up to 39. One row has 17, 2, and ____. What is the missing number?
20
Subtract 17 + 2 = 19 from 39: 39 − 19 = 20.
5. In a magic square, every row adds up to 23. One row has 3, 12, and ____. What is the missing number?
8
Subtract 3 + 12 = 15 from 23: 23 − 15 = 8.
6. In a magic square, every row adds up to 24. One row has 4, 17, and ____. What is the missing number?
3
Subtract 4 + 17 = 21 from 24: 24 − 21 = 3.
7. In a magic square, every row adds up to 27. One row has 20, 3, and ____. What is the missing number?
4
Subtract 20 + 3 = 23 from 27: 27 − 23 = 4.
8. In a magic square, every row adds up to 33. One row has 14, 6, and ____. What is the missing number?
13
Subtract 14 + 6 = 20 from 33: 33 − 20 = 13.
9. In a magic square, every row adds up to 41. One row has 10, 19, and ____. What is the missing number?
12
Subtract 10 + 19 = 29 from 41: 41 − 29 = 12.
10. In a magic square, every row adds up to 27. One row has 14, 9, and ____. What is the missing number?
4
Subtract 14 + 9 = 23 from 27: 27 − 23 = 4.
11. In a magic square, every row adds up to 42. One row has 15, 17, and ____. What is the missing number?
10
Subtract 15 + 17 = 32 from 42: 42 − 32 = 10.
12. In a magic square, every row adds up to 37. One row has 14, 18, and ____. What is the missing number?
5
Subtract 14 + 18 = 32 from 37: 37 − 32 = 5.

12 questions · Seed 84 · Age guidance, not curriculum certification