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 39. One row has 14, 13, and ____. What is the missing number?
39 · 14 · 13 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 7, 4, and ____. What is the missing number?
24 · 7 · 4 · Magic square missing values
3. In a magic square, every row adds up to 32. One row has 6, 19, and ____. What is the missing number?
32 · 6 · 19 · Magic square missing values
4. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
24 · 6 · 12 · Magic square missing values
5. In a magic square, every row adds up to 11. One row has 4, 5, and ____. What is the missing number?
11 · 4 · 5 · Magic square missing values
6. In a magic square, every row adds up to 34. One row has 17, 14, and ____. What is the missing number?
34 · 17 · 14 · Magic square missing values
7. In a magic square, every row adds up to 13. One row has 2, 4, and ____. What is the missing number?
13 · 2 · 4 · Magic square missing values
8. In a magic square, every row adds up to 29. One row has 2, 15, and ____. What is the missing number?
29 · 2 · 15 · Magic square missing values
9. In a magic square, every row adds up to 35. One row has 16, 8, and ____. What is the missing number?
35 · 16 · 8 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 4, 16, and ____. What is the missing number?
34 · 4 · 16 · Magic square missing values
11. In a magic square, every row adds up to 49. One row has 17, 15, and ____. What is the missing number?
49 · 17 · 15 · Magic square missing values
12. In a magic square, every row adds up to 20. One row has 4, 14, and ____. What is the missing number?
20 · 4 · 14 · Magic square missing values

12 questions · Seed 62 · 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 39. One row has 14, 13, and ____. What is the missing number?
12
Subtract 14 + 13 = 27 from 39: 39 − 27 = 12.
2. In a magic square, every row adds up to 24. One row has 7, 4, and ____. What is the missing number?
13
Subtract 7 + 4 = 11 from 24: 24 − 11 = 13.
3. In a magic square, every row adds up to 32. One row has 6, 19, and ____. What is the missing number?
7
Subtract 6 + 19 = 25 from 32: 32 − 25 = 7.
4. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
6
Subtract 6 + 12 = 18 from 24: 24 − 18 = 6.
5. In a magic square, every row adds up to 11. One row has 4, 5, and ____. What is the missing number?
2
Subtract 4 + 5 = 9 from 11: 11 − 9 = 2.
6. In a magic square, every row adds up to 34. One row has 17, 14, and ____. What is the missing number?
3
Subtract 17 + 14 = 31 from 34: 34 − 31 = 3.
7. In a magic square, every row adds up to 13. One row has 2, 4, and ____. What is the missing number?
7
Subtract 2 + 4 = 6 from 13: 13 − 6 = 7.
8. In a magic square, every row adds up to 29. One row has 2, 15, and ____. What is the missing number?
12
Subtract 2 + 15 = 17 from 29: 29 − 17 = 12.
9. In a magic square, every row adds up to 35. One row has 16, 8, and ____. What is the missing number?
11
Subtract 16 + 8 = 24 from 35: 35 − 24 = 11.
10. In a magic square, every row adds up to 34. One row has 4, 16, and ____. What is the missing number?
14
Subtract 4 + 16 = 20 from 34: 34 − 20 = 14.
11. In a magic square, every row adds up to 49. One row has 17, 15, and ____. What is the missing number?
17
Subtract 17 + 15 = 32 from 49: 49 − 32 = 17.
12. In a magic square, every row adds up to 20. One row has 4, 14, and ____. What is the missing number?
2
Subtract 4 + 14 = 18 from 20: 20 − 18 = 2.

12 questions · Seed 62 · 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 39. One row has 14, 13, and ____. What is the missing number?
39 · 14 · 13 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 7, 4, and ____. What is the missing number?
24 · 7 · 4 · Magic square missing values
3. In a magic square, every row adds up to 32. One row has 6, 19, and ____. What is the missing number?
32 · 6 · 19 · Magic square missing values
4. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
24 · 6 · 12 · Magic square missing values
5. In a magic square, every row adds up to 11. One row has 4, 5, and ____. What is the missing number?
11 · 4 · 5 · Magic square missing values
6. In a magic square, every row adds up to 34. One row has 17, 14, and ____. What is the missing number?
34 · 17 · 14 · Magic square missing values
7. In a magic square, every row adds up to 13. One row has 2, 4, and ____. What is the missing number?
13 · 2 · 4 · Magic square missing values
8. In a magic square, every row adds up to 29. One row has 2, 15, and ____. What is the missing number?
29 · 2 · 15 · Magic square missing values
9. In a magic square, every row adds up to 35. One row has 16, 8, and ____. What is the missing number?
35 · 16 · 8 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 4, 16, and ____. What is the missing number?
34 · 4 · 16 · Magic square missing values
11. In a magic square, every row adds up to 49. One row has 17, 15, and ____. What is the missing number?
49 · 17 · 15 · Magic square missing values
12. In a magic square, every row adds up to 20. One row has 4, 14, and ____. What is the missing number?
20 · 4 · 14 · Magic square missing values

12 questions · Seed 62 · 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 39. One row has 14, 13, and ____. What is the missing number?
12
Subtract 14 + 13 = 27 from 39: 39 − 27 = 12.
2. In a magic square, every row adds up to 24. One row has 7, 4, and ____. What is the missing number?
13
Subtract 7 + 4 = 11 from 24: 24 − 11 = 13.
3. In a magic square, every row adds up to 32. One row has 6, 19, and ____. What is the missing number?
7
Subtract 6 + 19 = 25 from 32: 32 − 25 = 7.
4. In a magic square, every row adds up to 24. One row has 6, 12, and ____. What is the missing number?
6
Subtract 6 + 12 = 18 from 24: 24 − 18 = 6.
5. In a magic square, every row adds up to 11. One row has 4, 5, and ____. What is the missing number?
2
Subtract 4 + 5 = 9 from 11: 11 − 9 = 2.
6. In a magic square, every row adds up to 34. One row has 17, 14, and ____. What is the missing number?
3
Subtract 17 + 14 = 31 from 34: 34 − 31 = 3.
7. In a magic square, every row adds up to 13. One row has 2, 4, and ____. What is the missing number?
7
Subtract 2 + 4 = 6 from 13: 13 − 6 = 7.
8. In a magic square, every row adds up to 29. One row has 2, 15, and ____. What is the missing number?
12
Subtract 2 + 15 = 17 from 29: 29 − 17 = 12.
9. In a magic square, every row adds up to 35. One row has 16, 8, and ____. What is the missing number?
11
Subtract 16 + 8 = 24 from 35: 35 − 24 = 11.
10. In a magic square, every row adds up to 34. One row has 4, 16, and ____. What is the missing number?
14
Subtract 4 + 16 = 20 from 34: 34 − 20 = 14.
11. In a magic square, every row adds up to 49. One row has 17, 15, and ____. What is the missing number?
17
Subtract 17 + 15 = 32 from 49: 49 − 32 = 17.
12. In a magic square, every row adds up to 20. One row has 4, 14, and ____. What is the missing number?
2
Subtract 4 + 14 = 18 from 20: 20 − 18 = 2.

12 questions · Seed 62 · Age guidance, not curriculum certification