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 36. One row has 6, 13, and ____. What is the missing number?
36 · 6 · 13 · Magic square missing values
2. In a magic square, every row adds up to 33. One row has 17, 6, and ____. What is the missing number?
33 · 17 · 6 · Magic square missing values
3. In a magic square, every row adds up to 42. One row has 18, 15, and ____. What is the missing number?
42 · 18 · 15 · Magic square missing values
4. In a magic square, every row adds up to 40. One row has 16, 8, and ____. What is the missing number?
40 · 16 · 8 · Magic square missing values
5. In a magic square, every row adds up to 15. One row has 5, 7, and ____. What is the missing number?
15 · 5 · 7 · Magic square missing values
6. In a magic square, every row adds up to 27. One row has 9, 10, and ____. What is the missing number?
27 · 9 · 10 · Magic square missing values
7. In a magic square, every row adds up to 14. One row has 3, 3, and ____. What is the missing number?
14 · 3 · 3 · Magic square missing values
8. In a magic square, every row adds up to 24. One row has 13, 4, and ____. What is the missing number?
24 · 13 · 4 · Magic square missing values
9. In a magic square, every row adds up to 43. One row has 12, 11, and ____. What is the missing number?
43 · 12 · 11 · Magic square missing values
10. In a magic square, every row adds up to 40. One row has 17, 8, and ____. What is the missing number?
40 · 17 · 8 · Magic square missing values
11. In a magic square, every row adds up to 44. One row has 18, 9, and ____. What is the missing number?
44 · 18 · 9 · Magic square missing values
12. In a magic square, every row adds up to 40. One row has 10, 12, and ____. What is the missing number?
40 · 10 · 12 · Magic square missing values

12 questions · Seed 46 · 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 36. One row has 6, 13, and ____. What is the missing number?
17
Subtract 6 + 13 = 19 from 36: 36 − 19 = 17.
2. In a magic square, every row adds up to 33. One row has 17, 6, and ____. What is the missing number?
10
Subtract 17 + 6 = 23 from 33: 33 − 23 = 10.
3. In a magic square, every row adds up to 42. One row has 18, 15, and ____. What is the missing number?
9
Subtract 18 + 15 = 33 from 42: 42 − 33 = 9.
4. In a magic square, every row adds up to 40. One row has 16, 8, and ____. What is the missing number?
16
Subtract 16 + 8 = 24 from 40: 40 − 24 = 16.
5. In a magic square, every row adds up to 15. One row has 5, 7, and ____. What is the missing number?
3
Subtract 5 + 7 = 12 from 15: 15 − 12 = 3.
6. In a magic square, every row adds up to 27. One row has 9, 10, and ____. What is the missing number?
8
Subtract 9 + 10 = 19 from 27: 27 − 19 = 8.
7. In a magic square, every row adds up to 14. One row has 3, 3, and ____. What is the missing number?
8
Subtract 3 + 3 = 6 from 14: 14 − 6 = 8.
8. In a magic square, every row adds up to 24. One row has 13, 4, and ____. What is the missing number?
7
Subtract 13 + 4 = 17 from 24: 24 − 17 = 7.
9. In a magic square, every row adds up to 43. One row has 12, 11, and ____. What is the missing number?
20
Subtract 12 + 11 = 23 from 43: 43 − 23 = 20.
10. In a magic square, every row adds up to 40. One row has 17, 8, and ____. What is the missing number?
15
Subtract 17 + 8 = 25 from 40: 40 − 25 = 15.
11. In a magic square, every row adds up to 44. One row has 18, 9, and ____. What is the missing number?
17
Subtract 18 + 9 = 27 from 44: 44 − 27 = 17.
12. In a magic square, every row adds up to 40. One row has 10, 12, and ____. What is the missing number?
18
Subtract 10 + 12 = 22 from 40: 40 − 22 = 18.

12 questions · Seed 46 · 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 36. One row has 6, 13, and ____. What is the missing number?
36 · 6 · 13 · Magic square missing values
2. In a magic square, every row adds up to 33. One row has 17, 6, and ____. What is the missing number?
33 · 17 · 6 · Magic square missing values
3. In a magic square, every row adds up to 42. One row has 18, 15, and ____. What is the missing number?
42 · 18 · 15 · Magic square missing values
4. In a magic square, every row adds up to 40. One row has 16, 8, and ____. What is the missing number?
40 · 16 · 8 · Magic square missing values
5. In a magic square, every row adds up to 15. One row has 5, 7, and ____. What is the missing number?
15 · 5 · 7 · Magic square missing values
6. In a magic square, every row adds up to 27. One row has 9, 10, and ____. What is the missing number?
27 · 9 · 10 · Magic square missing values
7. In a magic square, every row adds up to 14. One row has 3, 3, and ____. What is the missing number?
14 · 3 · 3 · Magic square missing values
8. In a magic square, every row adds up to 24. One row has 13, 4, and ____. What is the missing number?
24 · 13 · 4 · Magic square missing values
9. In a magic square, every row adds up to 43. One row has 12, 11, and ____. What is the missing number?
43 · 12 · 11 · Magic square missing values
10. In a magic square, every row adds up to 40. One row has 17, 8, and ____. What is the missing number?
40 · 17 · 8 · Magic square missing values
11. In a magic square, every row adds up to 44. One row has 18, 9, and ____. What is the missing number?
44 · 18 · 9 · Magic square missing values
12. In a magic square, every row adds up to 40. One row has 10, 12, and ____. What is the missing number?
40 · 10 · 12 · Magic square missing values

12 questions · Seed 46 · 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 36. One row has 6, 13, and ____. What is the missing number?
17
Subtract 6 + 13 = 19 from 36: 36 − 19 = 17.
2. In a magic square, every row adds up to 33. One row has 17, 6, and ____. What is the missing number?
10
Subtract 17 + 6 = 23 from 33: 33 − 23 = 10.
3. In a magic square, every row adds up to 42. One row has 18, 15, and ____. What is the missing number?
9
Subtract 18 + 15 = 33 from 42: 42 − 33 = 9.
4. In a magic square, every row adds up to 40. One row has 16, 8, and ____. What is the missing number?
16
Subtract 16 + 8 = 24 from 40: 40 − 24 = 16.
5. In a magic square, every row adds up to 15. One row has 5, 7, and ____. What is the missing number?
3
Subtract 5 + 7 = 12 from 15: 15 − 12 = 3.
6. In a magic square, every row adds up to 27. One row has 9, 10, and ____. What is the missing number?
8
Subtract 9 + 10 = 19 from 27: 27 − 19 = 8.
7. In a magic square, every row adds up to 14. One row has 3, 3, and ____. What is the missing number?
8
Subtract 3 + 3 = 6 from 14: 14 − 6 = 8.
8. In a magic square, every row adds up to 24. One row has 13, 4, and ____. What is the missing number?
7
Subtract 13 + 4 = 17 from 24: 24 − 17 = 7.
9. In a magic square, every row adds up to 43. One row has 12, 11, and ____. What is the missing number?
20
Subtract 12 + 11 = 23 from 43: 43 − 23 = 20.
10. In a magic square, every row adds up to 40. One row has 17, 8, and ____. What is the missing number?
15
Subtract 17 + 8 = 25 from 40: 40 − 25 = 15.
11. In a magic square, every row adds up to 44. One row has 18, 9, and ____. What is the missing number?
17
Subtract 18 + 9 = 27 from 44: 44 − 27 = 17.
12. In a magic square, every row adds up to 40. One row has 10, 12, and ____. What is the missing number?
18
Subtract 10 + 12 = 22 from 40: 40 − 22 = 18.

12 questions · Seed 46 · Age guidance, not curriculum certification