ReasoningAges 7-9

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 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 47. One row has 18, 12, and ____. What is the missing number?
47 · 18 · 12 · Magic square missing values
2. In a magic square, every row adds up to 37. One row has 17, 6, and ____. What is the missing number?
37 · 17 · 6 · Magic square missing values
3. In a magic square, every row adds up to 28. One row has 11, 13, and ____. What is the missing number?
28 · 11 · 13 · Magic square missing values
4. In a magic square, every row adds up to 46. One row has 20, 15, and ____. What is the missing number?
46 · 20 · 15 · Magic square missing values
5. In a magic square, every row adds up to 24. One row has 9, 9, and ____. What is the missing number?
24 · 9 · 9 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 13, 11, and ____. What is the missing number?
30 · 13 · 11 · Magic square missing values
7. In a magic square, every row adds up to 32. One row has 8, 12, and ____. What is the missing number?
32 · 8 · 12 · Magic square missing values
8. In a magic square, every row adds up to 34. One row has 5, 13, and ____. What is the missing number?
34 · 5 · 13 · Magic square missing values
9. In a magic square, every row adds up to 17. One row has 5, 4, and ____. What is the missing number?
17 · 5 · 4 · Magic square missing values
10. In a magic square, every row adds up to 24. One row has 8, 8, and ____. What is the missing number?
24 · 8 · 8 · Magic square missing values
11. In a magic square, every row adds up to 38. One row has 8, 14, and ____. What is the missing number?
38 · 8 · 14 · Magic square missing values
12. In a magic square, every row adds up to 29. One row has 8, 3, and ____. What is the missing number?
29 · 8 · 3 · Magic square missing values

12 questions · Seed 104749 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 47. One row has 18, 12, and ____. What is the missing number?
17
Subtract 18 + 12 = 30 from 47: 47 − 30 = 17.
2. In a magic square, every row adds up to 37. One row has 17, 6, and ____. What is the missing number?
14
Subtract 17 + 6 = 23 from 37: 37 − 23 = 14.
3. In a magic square, every row adds up to 28. One row has 11, 13, and ____. What is the missing number?
4
Subtract 11 + 13 = 24 from 28: 28 − 24 = 4.
4. In a magic square, every row adds up to 46. One row has 20, 15, and ____. What is the missing number?
11
Subtract 20 + 15 = 35 from 46: 46 − 35 = 11.
5. In a magic square, every row adds up to 24. One row has 9, 9, and ____. What is the missing number?
6
Subtract 9 + 9 = 18 from 24: 24 − 18 = 6.
6. In a magic square, every row adds up to 30. One row has 13, 11, and ____. What is the missing number?
6
Subtract 13 + 11 = 24 from 30: 30 − 24 = 6.
7. In a magic square, every row adds up to 32. One row has 8, 12, and ____. What is the missing number?
12
Subtract 8 + 12 = 20 from 32: 32 − 20 = 12.
8. In a magic square, every row adds up to 34. One row has 5, 13, and ____. What is the missing number?
16
Subtract 5 + 13 = 18 from 34: 34 − 18 = 16.
9. In a magic square, every row adds up to 17. One row has 5, 4, and ____. What is the missing number?
8
Subtract 5 + 4 = 9 from 17: 17 − 9 = 8.
10. In a magic square, every row adds up to 24. One row has 8, 8, and ____. What is the missing number?
8
Subtract 8 + 8 = 16 from 24: 24 − 16 = 8.
11. In a magic square, every row adds up to 38. One row has 8, 14, and ____. What is the missing number?
16
Subtract 8 + 14 = 22 from 38: 38 − 22 = 16.
12. In a magic square, every row adds up to 29. One row has 8, 3, and ____. What is the missing number?
18
Subtract 8 + 3 = 11 from 29: 29 − 11 = 18.

12 questions · Seed 104749 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 47. One row has 18, 12, and ____. What is the missing number?
47 · 18 · 12 · Magic square missing values
2. In a magic square, every row adds up to 37. One row has 17, 6, and ____. What is the missing number?
37 · 17 · 6 · Magic square missing values
3. In a magic square, every row adds up to 28. One row has 11, 13, and ____. What is the missing number?
28 · 11 · 13 · Magic square missing values
4. In a magic square, every row adds up to 46. One row has 20, 15, and ____. What is the missing number?
46 · 20 · 15 · Magic square missing values
5. In a magic square, every row adds up to 24. One row has 9, 9, and ____. What is the missing number?
24 · 9 · 9 · Magic square missing values
6. In a magic square, every row adds up to 30. One row has 13, 11, and ____. What is the missing number?
30 · 13 · 11 · Magic square missing values
7. In a magic square, every row adds up to 32. One row has 8, 12, and ____. What is the missing number?
32 · 8 · 12 · Magic square missing values
8. In a magic square, every row adds up to 34. One row has 5, 13, and ____. What is the missing number?
34 · 5 · 13 · Magic square missing values
9. In a magic square, every row adds up to 17. One row has 5, 4, and ____. What is the missing number?
17 · 5 · 4 · Magic square missing values
10. In a magic square, every row adds up to 24. One row has 8, 8, and ____. What is the missing number?
24 · 8 · 8 · Magic square missing values
11. In a magic square, every row adds up to 38. One row has 8, 14, and ____. What is the missing number?
38 · 8 · 14 · Magic square missing values
12. In a magic square, every row adds up to 29. One row has 8, 3, and ____. What is the missing number?
29 · 8 · 3 · Magic square missing values

12 questions · Seed 104749 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 47. One row has 18, 12, and ____. What is the missing number?
17
Subtract 18 + 12 = 30 from 47: 47 − 30 = 17.
2. In a magic square, every row adds up to 37. One row has 17, 6, and ____. What is the missing number?
14
Subtract 17 + 6 = 23 from 37: 37 − 23 = 14.
3. In a magic square, every row adds up to 28. One row has 11, 13, and ____. What is the missing number?
4
Subtract 11 + 13 = 24 from 28: 28 − 24 = 4.
4. In a magic square, every row adds up to 46. One row has 20, 15, and ____. What is the missing number?
11
Subtract 20 + 15 = 35 from 46: 46 − 35 = 11.
5. In a magic square, every row adds up to 24. One row has 9, 9, and ____. What is the missing number?
6
Subtract 9 + 9 = 18 from 24: 24 − 18 = 6.
6. In a magic square, every row adds up to 30. One row has 13, 11, and ____. What is the missing number?
6
Subtract 13 + 11 = 24 from 30: 30 − 24 = 6.
7. In a magic square, every row adds up to 32. One row has 8, 12, and ____. What is the missing number?
12
Subtract 8 + 12 = 20 from 32: 32 − 20 = 12.
8. In a magic square, every row adds up to 34. One row has 5, 13, and ____. What is the missing number?
16
Subtract 5 + 13 = 18 from 34: 34 − 18 = 16.
9. In a magic square, every row adds up to 17. One row has 5, 4, and ____. What is the missing number?
8
Subtract 5 + 4 = 9 from 17: 17 − 9 = 8.
10. In a magic square, every row adds up to 24. One row has 8, 8, and ____. What is the missing number?
8
Subtract 8 + 8 = 16 from 24: 24 − 16 = 8.
11. In a magic square, every row adds up to 38. One row has 8, 14, and ____. What is the missing number?
16
Subtract 8 + 14 = 22 from 38: 38 − 22 = 16.
12. In a magic square, every row adds up to 29. One row has 8, 3, and ____. What is the missing number?
18
Subtract 8 + 3 = 11 from 29: 29 − 11 = 18.

12 questions · Seed 104749 · Age guidance, not curriculum certification