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 17. One row has 6, 2, and ____. What is the missing number?
17 · 6 · 2 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 5, 6, and ____. What is the missing number?
24 · 5 · 6 · Magic square missing values
3. In a magic square, every row adds up to 23. One row has 12, 6, and ____. What is the missing number?
23 · 12 · 6 · Magic square missing values
4. In a magic square, every row adds up to 18. One row has 5, 5, and ____. What is the missing number?
18 · 5 · 5 · Magic square missing values
5. In a magic square, every row adds up to 44. One row has 17, 19, and ____. What is the missing number?
44 · 17 · 19 · Magic square missing values
6. In a magic square, every row adds up to 27. One row has 15, 4, and ____. What is the missing number?
27 · 15 · 4 · Magic square missing values
7. In a magic square, every row adds up to 39. One row has 20, 17, and ____. What is the missing number?
39 · 20 · 17 · Magic square missing values
8. In a magic square, every row adds up to 37. One row has 9, 20, and ____. What is the missing number?
37 · 9 · 20 · Magic square missing values
9. In a magic square, every row adds up to 35. One row has 3, 16, and ____. What is the missing number?
35 · 3 · 16 · Magic square missing values
10. In a magic square, every row adds up to 45. One row has 16, 15, and ____. What is the missing number?
45 · 16 · 15 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 20, 2, and ____. What is the missing number?
26 · 20 · 2 · Magic square missing values
12. In a magic square, every row adds up to 18. One row has 2, 10, and ____. What is the missing number?
18 · 2 · 10 · Magic square missing values

12 questions · Seed 104743 · 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 17. One row has 6, 2, and ____. What is the missing number?
9
Subtract 6 + 2 = 8 from 17: 17 − 8 = 9.
2. In a magic square, every row adds up to 24. One row has 5, 6, and ____. What is the missing number?
13
Subtract 5 + 6 = 11 from 24: 24 − 11 = 13.
3. In a magic square, every row adds up to 23. One row has 12, 6, and ____. What is the missing number?
5
Subtract 12 + 6 = 18 from 23: 23 − 18 = 5.
4. In a magic square, every row adds up to 18. One row has 5, 5, and ____. What is the missing number?
8
Subtract 5 + 5 = 10 from 18: 18 − 10 = 8.
5. In a magic square, every row adds up to 44. One row has 17, 19, and ____. What is the missing number?
8
Subtract 17 + 19 = 36 from 44: 44 − 36 = 8.
6. In a magic square, every row adds up to 27. One row has 15, 4, and ____. What is the missing number?
8
Subtract 15 + 4 = 19 from 27: 27 − 19 = 8.
7. In a magic square, every row adds up to 39. One row has 20, 17, and ____. What is the missing number?
2
Subtract 20 + 17 = 37 from 39: 39 − 37 = 2.
8. In a magic square, every row adds up to 37. One row has 9, 20, and ____. What is the missing number?
8
Subtract 9 + 20 = 29 from 37: 37 − 29 = 8.
9. In a magic square, every row adds up to 35. One row has 3, 16, and ____. What is the missing number?
16
Subtract 3 + 16 = 19 from 35: 35 − 19 = 16.
10. In a magic square, every row adds up to 45. One row has 16, 15, and ____. What is the missing number?
14
Subtract 16 + 15 = 31 from 45: 45 − 31 = 14.
11. In a magic square, every row adds up to 26. One row has 20, 2, and ____. What is the missing number?
4
Subtract 20 + 2 = 22 from 26: 26 − 22 = 4.
12. In a magic square, every row adds up to 18. One row has 2, 10, and ____. What is the missing number?
6
Subtract 2 + 10 = 12 from 18: 18 − 12 = 6.

12 questions · Seed 104743 · 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 17. One row has 6, 2, and ____. What is the missing number?
17 · 6 · 2 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 5, 6, and ____. What is the missing number?
24 · 5 · 6 · Magic square missing values
3. In a magic square, every row adds up to 23. One row has 12, 6, and ____. What is the missing number?
23 · 12 · 6 · Magic square missing values
4. In a magic square, every row adds up to 18. One row has 5, 5, and ____. What is the missing number?
18 · 5 · 5 · Magic square missing values
5. In a magic square, every row adds up to 44. One row has 17, 19, and ____. What is the missing number?
44 · 17 · 19 · Magic square missing values
6. In a magic square, every row adds up to 27. One row has 15, 4, and ____. What is the missing number?
27 · 15 · 4 · Magic square missing values
7. In a magic square, every row adds up to 39. One row has 20, 17, and ____. What is the missing number?
39 · 20 · 17 · Magic square missing values
8. In a magic square, every row adds up to 37. One row has 9, 20, and ____. What is the missing number?
37 · 9 · 20 · Magic square missing values
9. In a magic square, every row adds up to 35. One row has 3, 16, and ____. What is the missing number?
35 · 3 · 16 · Magic square missing values
10. In a magic square, every row adds up to 45. One row has 16, 15, and ____. What is the missing number?
45 · 16 · 15 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 20, 2, and ____. What is the missing number?
26 · 20 · 2 · Magic square missing values
12. In a magic square, every row adds up to 18. One row has 2, 10, and ____. What is the missing number?
18 · 2 · 10 · Magic square missing values

12 questions · Seed 104743 · 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 17. One row has 6, 2, and ____. What is the missing number?
9
Subtract 6 + 2 = 8 from 17: 17 − 8 = 9.
2. In a magic square, every row adds up to 24. One row has 5, 6, and ____. What is the missing number?
13
Subtract 5 + 6 = 11 from 24: 24 − 11 = 13.
3. In a magic square, every row adds up to 23. One row has 12, 6, and ____. What is the missing number?
5
Subtract 12 + 6 = 18 from 23: 23 − 18 = 5.
4. In a magic square, every row adds up to 18. One row has 5, 5, and ____. What is the missing number?
8
Subtract 5 + 5 = 10 from 18: 18 − 10 = 8.
5. In a magic square, every row adds up to 44. One row has 17, 19, and ____. What is the missing number?
8
Subtract 17 + 19 = 36 from 44: 44 − 36 = 8.
6. In a magic square, every row adds up to 27. One row has 15, 4, and ____. What is the missing number?
8
Subtract 15 + 4 = 19 from 27: 27 − 19 = 8.
7. In a magic square, every row adds up to 39. One row has 20, 17, and ____. What is the missing number?
2
Subtract 20 + 17 = 37 from 39: 39 − 37 = 2.
8. In a magic square, every row adds up to 37. One row has 9, 20, and ____. What is the missing number?
8
Subtract 9 + 20 = 29 from 37: 37 − 29 = 8.
9. In a magic square, every row adds up to 35. One row has 3, 16, and ____. What is the missing number?
16
Subtract 3 + 16 = 19 from 35: 35 − 19 = 16.
10. In a magic square, every row adds up to 45. One row has 16, 15, and ____. What is the missing number?
14
Subtract 16 + 15 = 31 from 45: 45 − 31 = 14.
11. In a magic square, every row adds up to 26. One row has 20, 2, and ____. What is the missing number?
4
Subtract 20 + 2 = 22 from 26: 26 − 22 = 4.
12. In a magic square, every row adds up to 18. One row has 2, 10, and ____. What is the missing number?
6
Subtract 2 + 10 = 12 from 18: 18 − 12 = 6.

12 questions · Seed 104743 · Age guidance, not curriculum certification