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 37. One row has 18, 16, and ____. What is the missing number?
37 · 18 · 16 · Magic square missing values
2. In a magic square, every row adds up to 33. One row has 8, 7, and ____. What is the missing number?
33 · 8 · 7 · Magic square missing values
3. In a magic square, every row adds up to 26. One row has 14, 4, and ____. What is the missing number?
26 · 14 · 4 · Magic square missing values
4. In a magic square, every row adds up to 33. One row has 7, 8, and ____. What is the missing number?
33 · 7 · 8 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 14, 7, and ____. What is the missing number?
30 · 14 · 7 · Magic square missing values
6. In a magic square, every row adds up to 17. One row has 12, 2, and ____. What is the missing number?
17 · 12 · 2 · Magic square missing values
7. 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
8. In a magic square, every row adds up to 23. One row has 10, 9, and ____. What is the missing number?
23 · 10 · 9 · Magic square missing values
9. In a magic square, every row adds up to 35. One row has 16, 17, and ____. What is the missing number?
35 · 16 · 17 · Magic square missing values
10. In a magic square, every row adds up to 14. One row has 8, 3, and ____. What is the missing number?
14 · 8 · 3 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 15, 4, and ____. What is the missing number?
26 · 15 · 4 · Magic square missing values
12. In a magic square, every row adds up to 41. One row has 13, 17, and ____. What is the missing number?
41 · 13 · 17 · Magic square missing values

12 questions · Seed 104733 · 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 37. One row has 18, 16, and ____. What is the missing number?
3
Subtract 18 + 16 = 34 from 37: 37 − 34 = 3.
2. In a magic square, every row adds up to 33. One row has 8, 7, and ____. What is the missing number?
18
Subtract 8 + 7 = 15 from 33: 33 − 15 = 18.
3. In a magic square, every row adds up to 26. One row has 14, 4, and ____. What is the missing number?
8
Subtract 14 + 4 = 18 from 26: 26 − 18 = 8.
4. In a magic square, every row adds up to 33. One row has 7, 8, and ____. What is the missing number?
18
Subtract 7 + 8 = 15 from 33: 33 − 15 = 18.
5. In a magic square, every row adds up to 30. One row has 14, 7, and ____. What is the missing number?
9
Subtract 14 + 7 = 21 from 30: 30 − 21 = 9.
6. In a magic square, every row adds up to 17. One row has 12, 2, and ____. What is the missing number?
3
Subtract 12 + 2 = 14 from 17: 17 − 14 = 3.
7. 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.
8. In a magic square, every row adds up to 23. One row has 10, 9, and ____. What is the missing number?
4
Subtract 10 + 9 = 19 from 23: 23 − 19 = 4.
9. In a magic square, every row adds up to 35. One row has 16, 17, and ____. What is the missing number?
2
Subtract 16 + 17 = 33 from 35: 35 − 33 = 2.
10. In a magic square, every row adds up to 14. One row has 8, 3, and ____. What is the missing number?
3
Subtract 8 + 3 = 11 from 14: 14 − 11 = 3.
11. In a magic square, every row adds up to 26. One row has 15, 4, and ____. What is the missing number?
7
Subtract 15 + 4 = 19 from 26: 26 − 19 = 7.
12. In a magic square, every row adds up to 41. One row has 13, 17, and ____. What is the missing number?
11
Subtract 13 + 17 = 30 from 41: 41 − 30 = 11.

12 questions · Seed 104733 · 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 37. One row has 18, 16, and ____. What is the missing number?
37 · 18 · 16 · Magic square missing values
2. In a magic square, every row adds up to 33. One row has 8, 7, and ____. What is the missing number?
33 · 8 · 7 · Magic square missing values
3. In a magic square, every row adds up to 26. One row has 14, 4, and ____. What is the missing number?
26 · 14 · 4 · Magic square missing values
4. In a magic square, every row adds up to 33. One row has 7, 8, and ____. What is the missing number?
33 · 7 · 8 · Magic square missing values
5. In a magic square, every row adds up to 30. One row has 14, 7, and ____. What is the missing number?
30 · 14 · 7 · Magic square missing values
6. In a magic square, every row adds up to 17. One row has 12, 2, and ____. What is the missing number?
17 · 12 · 2 · Magic square missing values
7. 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
8. In a magic square, every row adds up to 23. One row has 10, 9, and ____. What is the missing number?
23 · 10 · 9 · Magic square missing values
9. In a magic square, every row adds up to 35. One row has 16, 17, and ____. What is the missing number?
35 · 16 · 17 · Magic square missing values
10. In a magic square, every row adds up to 14. One row has 8, 3, and ____. What is the missing number?
14 · 8 · 3 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 15, 4, and ____. What is the missing number?
26 · 15 · 4 · Magic square missing values
12. In a magic square, every row adds up to 41. One row has 13, 17, and ____. What is the missing number?
41 · 13 · 17 · Magic square missing values

12 questions · Seed 104733 · 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 37. One row has 18, 16, and ____. What is the missing number?
3
Subtract 18 + 16 = 34 from 37: 37 − 34 = 3.
2. In a magic square, every row adds up to 33. One row has 8, 7, and ____. What is the missing number?
18
Subtract 8 + 7 = 15 from 33: 33 − 15 = 18.
3. In a magic square, every row adds up to 26. One row has 14, 4, and ____. What is the missing number?
8
Subtract 14 + 4 = 18 from 26: 26 − 18 = 8.
4. In a magic square, every row adds up to 33. One row has 7, 8, and ____. What is the missing number?
18
Subtract 7 + 8 = 15 from 33: 33 − 15 = 18.
5. In a magic square, every row adds up to 30. One row has 14, 7, and ____. What is the missing number?
9
Subtract 14 + 7 = 21 from 30: 30 − 21 = 9.
6. In a magic square, every row adds up to 17. One row has 12, 2, and ____. What is the missing number?
3
Subtract 12 + 2 = 14 from 17: 17 − 14 = 3.
7. 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.
8. In a magic square, every row adds up to 23. One row has 10, 9, and ____. What is the missing number?
4
Subtract 10 + 9 = 19 from 23: 23 − 19 = 4.
9. In a magic square, every row adds up to 35. One row has 16, 17, and ____. What is the missing number?
2
Subtract 16 + 17 = 33 from 35: 35 − 33 = 2.
10. In a magic square, every row adds up to 14. One row has 8, 3, and ____. What is the missing number?
3
Subtract 8 + 3 = 11 from 14: 14 − 11 = 3.
11. In a magic square, every row adds up to 26. One row has 15, 4, and ____. What is the missing number?
7
Subtract 15 + 4 = 19 from 26: 26 − 19 = 7.
12. In a magic square, every row adds up to 41. One row has 13, 17, and ____. What is the missing number?
11
Subtract 13 + 17 = 30 from 41: 41 − 30 = 11.

12 questions · Seed 104733 · Age guidance, not curriculum certification