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 34. One row has 7, 7, and ____. What is the missing number?
34 · 7 · 7 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 5, 16, and ____. What is the missing number?
34 · 5 · 16 · Magic square missing values
3. In a magic square, every row adds up to 38. One row has 17, 13, and ____. What is the missing number?
38 · 17 · 13 · Magic square missing values
4. In a magic square, every row adds up to 58. One row has 18, 20, and ____. What is the missing number?
58 · 18 · 20 · Magic square missing values
5. In a magic square, every row adds up to 34. One row has 20, 8, and ____. What is the missing number?
34 · 20 · 8 · Magic square missing values
6. In a magic square, every row adds up to 35. One row has 12, 9, and ____. What is the missing number?
35 · 12 · 9 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 11, 5, and ____. What is the missing number?
29 · 11 · 5 · Magic square missing values
8. In a magic square, every row adds up to 45. One row has 20, 9, and ____. What is the missing number?
45 · 20 · 9 · Magic square missing values
9. In a magic square, every row adds up to 33. One row has 12, 2, and ____. What is the missing number?
33 · 12 · 2 · Magic square missing values
10. In a magic square, every row adds up to 40. One row has 17, 19, and ____. What is the missing number?
40 · 17 · 19 · Magic square missing values
11. In a magic square, every row adds up to 47. One row has 15, 19, and ____. What is the missing number?
47 · 15 · 19 · Magic square missing values
12. In a magic square, every row adds up to 23. One row has 6, 4, and ____. What is the missing number?
23 · 6 · 4 · Magic square missing values

12 questions · Seed 63 · 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 34. One row has 7, 7, and ____. What is the missing number?
20
Subtract 7 + 7 = 14 from 34: 34 − 14 = 20.
2. In a magic square, every row adds up to 34. One row has 5, 16, and ____. What is the missing number?
13
Subtract 5 + 16 = 21 from 34: 34 − 21 = 13.
3. In a magic square, every row adds up to 38. One row has 17, 13, and ____. What is the missing number?
8
Subtract 17 + 13 = 30 from 38: 38 − 30 = 8.
4. In a magic square, every row adds up to 58. One row has 18, 20, and ____. What is the missing number?
20
Subtract 18 + 20 = 38 from 58: 58 − 38 = 20.
5. In a magic square, every row adds up to 34. One row has 20, 8, and ____. What is the missing number?
6
Subtract 20 + 8 = 28 from 34: 34 − 28 = 6.
6. In a magic square, every row adds up to 35. One row has 12, 9, and ____. What is the missing number?
14
Subtract 12 + 9 = 21 from 35: 35 − 21 = 14.
7. In a magic square, every row adds up to 29. One row has 11, 5, and ____. What is the missing number?
13
Subtract 11 + 5 = 16 from 29: 29 − 16 = 13.
8. In a magic square, every row adds up to 45. One row has 20, 9, and ____. What is the missing number?
16
Subtract 20 + 9 = 29 from 45: 45 − 29 = 16.
9. In a magic square, every row adds up to 33. One row has 12, 2, and ____. What is the missing number?
19
Subtract 12 + 2 = 14 from 33: 33 − 14 = 19.
10. In a magic square, every row adds up to 40. One row has 17, 19, and ____. What is the missing number?
4
Subtract 17 + 19 = 36 from 40: 40 − 36 = 4.
11. In a magic square, every row adds up to 47. One row has 15, 19, and ____. What is the missing number?
13
Subtract 15 + 19 = 34 from 47: 47 − 34 = 13.
12. In a magic square, every row adds up to 23. One row has 6, 4, and ____. What is the missing number?
13
Subtract 6 + 4 = 10 from 23: 23 − 10 = 13.

12 questions · Seed 63 · 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 34. One row has 7, 7, and ____. What is the missing number?
34 · 7 · 7 · Magic square missing values
2. In a magic square, every row adds up to 34. One row has 5, 16, and ____. What is the missing number?
34 · 5 · 16 · Magic square missing values
3. In a magic square, every row adds up to 38. One row has 17, 13, and ____. What is the missing number?
38 · 17 · 13 · Magic square missing values
4. In a magic square, every row adds up to 58. One row has 18, 20, and ____. What is the missing number?
58 · 18 · 20 · Magic square missing values
5. In a magic square, every row adds up to 34. One row has 20, 8, and ____. What is the missing number?
34 · 20 · 8 · Magic square missing values
6. In a magic square, every row adds up to 35. One row has 12, 9, and ____. What is the missing number?
35 · 12 · 9 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 11, 5, and ____. What is the missing number?
29 · 11 · 5 · Magic square missing values
8. In a magic square, every row adds up to 45. One row has 20, 9, and ____. What is the missing number?
45 · 20 · 9 · Magic square missing values
9. In a magic square, every row adds up to 33. One row has 12, 2, and ____. What is the missing number?
33 · 12 · 2 · Magic square missing values
10. In a magic square, every row adds up to 40. One row has 17, 19, and ____. What is the missing number?
40 · 17 · 19 · Magic square missing values
11. In a magic square, every row adds up to 47. One row has 15, 19, and ____. What is the missing number?
47 · 15 · 19 · Magic square missing values
12. In a magic square, every row adds up to 23. One row has 6, 4, and ____. What is the missing number?
23 · 6 · 4 · Magic square missing values

12 questions · Seed 63 · 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 34. One row has 7, 7, and ____. What is the missing number?
20
Subtract 7 + 7 = 14 from 34: 34 − 14 = 20.
2. In a magic square, every row adds up to 34. One row has 5, 16, and ____. What is the missing number?
13
Subtract 5 + 16 = 21 from 34: 34 − 21 = 13.
3. In a magic square, every row adds up to 38. One row has 17, 13, and ____. What is the missing number?
8
Subtract 17 + 13 = 30 from 38: 38 − 30 = 8.
4. In a magic square, every row adds up to 58. One row has 18, 20, and ____. What is the missing number?
20
Subtract 18 + 20 = 38 from 58: 58 − 38 = 20.
5. In a magic square, every row adds up to 34. One row has 20, 8, and ____. What is the missing number?
6
Subtract 20 + 8 = 28 from 34: 34 − 28 = 6.
6. In a magic square, every row adds up to 35. One row has 12, 9, and ____. What is the missing number?
14
Subtract 12 + 9 = 21 from 35: 35 − 21 = 14.
7. In a magic square, every row adds up to 29. One row has 11, 5, and ____. What is the missing number?
13
Subtract 11 + 5 = 16 from 29: 29 − 16 = 13.
8. In a magic square, every row adds up to 45. One row has 20, 9, and ____. What is the missing number?
16
Subtract 20 + 9 = 29 from 45: 45 − 29 = 16.
9. In a magic square, every row adds up to 33. One row has 12, 2, and ____. What is the missing number?
19
Subtract 12 + 2 = 14 from 33: 33 − 14 = 19.
10. In a magic square, every row adds up to 40. One row has 17, 19, and ____. What is the missing number?
4
Subtract 17 + 19 = 36 from 40: 40 − 36 = 4.
11. In a magic square, every row adds up to 47. One row has 15, 19, and ____. What is the missing number?
13
Subtract 15 + 19 = 34 from 47: 47 − 34 = 13.
12. In a magic square, every row adds up to 23. One row has 6, 4, and ____. What is the missing number?
13
Subtract 6 + 4 = 10 from 23: 23 − 10 = 13.

12 questions · Seed 63 · Age guidance, not curriculum certification