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 17. One row has 2, 9, and ____. What is the missing number?
17 · 2 · 9 · Magic square missing values
2. In a magic square, every row adds up to 27. One row has 6, 9, and ____. What is the missing number?
27 · 6 · 9 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 5, 4, and ____. What is the missing number?
24 · 5 · 4 · Magic square missing values
4. In a magic square, every row adds up to 14. One row has 5, 6, and ____. What is the missing number?
14 · 5 · 6 · Magic square missing values
5. In a magic square, every row adds up to 37. One row has 18, 3, and ____. What is the missing number?
37 · 18 · 3 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 15, 16, and ____. What is the missing number?
38 · 15 · 16 · Magic square missing values
7. In a magic square, every row adds up to 16. One row has 4, 7, and ____. What is the missing number?
16 · 4 · 7 · Magic square missing values
8. In a magic square, every row adds up to 36. One row has 20, 4, and ____. What is the missing number?
36 · 20 · 4 · Magic square missing values
9. In a magic square, every row adds up to 27. One row has 10, 11, and ____. What is the missing number?
27 · 10 · 11 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 7, 15, and ____. What is the missing number?
34 · 7 · 15 · Magic square missing values
11. In a magic square, every row adds up to 44. One row has 16, 19, and ____. What is the missing number?
44 · 16 · 19 · Magic square missing values
12. In a magic square, every row adds up to 28. One row has 5, 13, and ____. What is the missing number?
28 · 5 · 13 · Magic square missing values

12 questions · Seed 70 · 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 17. One row has 2, 9, and ____. What is the missing number?
6
Subtract 2 + 9 = 11 from 17: 17 − 11 = 6.
2. In a magic square, every row adds up to 27. One row has 6, 9, and ____. What is the missing number?
12
Subtract 6 + 9 = 15 from 27: 27 − 15 = 12.
3. In a magic square, every row adds up to 24. One row has 5, 4, and ____. What is the missing number?
15
Subtract 5 + 4 = 9 from 24: 24 − 9 = 15.
4. In a magic square, every row adds up to 14. One row has 5, 6, and ____. What is the missing number?
3
Subtract 5 + 6 = 11 from 14: 14 − 11 = 3.
5. In a magic square, every row adds up to 37. One row has 18, 3, and ____. What is the missing number?
16
Subtract 18 + 3 = 21 from 37: 37 − 21 = 16.
6. In a magic square, every row adds up to 38. One row has 15, 16, and ____. What is the missing number?
7
Subtract 15 + 16 = 31 from 38: 38 − 31 = 7.
7. In a magic square, every row adds up to 16. One row has 4, 7, and ____. What is the missing number?
5
Subtract 4 + 7 = 11 from 16: 16 − 11 = 5.
8. In a magic square, every row adds up to 36. One row has 20, 4, and ____. What is the missing number?
12
Subtract 20 + 4 = 24 from 36: 36 − 24 = 12.
9. In a magic square, every row adds up to 27. One row has 10, 11, and ____. What is the missing number?
6
Subtract 10 + 11 = 21 from 27: 27 − 21 = 6.
10. In a magic square, every row adds up to 34. One row has 7, 15, and ____. What is the missing number?
12
Subtract 7 + 15 = 22 from 34: 34 − 22 = 12.
11. In a magic square, every row adds up to 44. One row has 16, 19, and ____. What is the missing number?
9
Subtract 16 + 19 = 35 from 44: 44 − 35 = 9.
12. In a magic square, every row adds up to 28. One row has 5, 13, and ____. What is the missing number?
10
Subtract 5 + 13 = 18 from 28: 28 − 18 = 10.

12 questions · Seed 70 · 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 17. One row has 2, 9, and ____. What is the missing number?
17 · 2 · 9 · Magic square missing values
2. In a magic square, every row adds up to 27. One row has 6, 9, and ____. What is the missing number?
27 · 6 · 9 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 5, 4, and ____. What is the missing number?
24 · 5 · 4 · Magic square missing values
4. In a magic square, every row adds up to 14. One row has 5, 6, and ____. What is the missing number?
14 · 5 · 6 · Magic square missing values
5. In a magic square, every row adds up to 37. One row has 18, 3, and ____. What is the missing number?
37 · 18 · 3 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 15, 16, and ____. What is the missing number?
38 · 15 · 16 · Magic square missing values
7. In a magic square, every row adds up to 16. One row has 4, 7, and ____. What is the missing number?
16 · 4 · 7 · Magic square missing values
8. In a magic square, every row adds up to 36. One row has 20, 4, and ____. What is the missing number?
36 · 20 · 4 · Magic square missing values
9. In a magic square, every row adds up to 27. One row has 10, 11, and ____. What is the missing number?
27 · 10 · 11 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 7, 15, and ____. What is the missing number?
34 · 7 · 15 · Magic square missing values
11. In a magic square, every row adds up to 44. One row has 16, 19, and ____. What is the missing number?
44 · 16 · 19 · Magic square missing values
12. In a magic square, every row adds up to 28. One row has 5, 13, and ____. What is the missing number?
28 · 5 · 13 · Magic square missing values

12 questions · Seed 70 · 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 17. One row has 2, 9, and ____. What is the missing number?
6
Subtract 2 + 9 = 11 from 17: 17 − 11 = 6.
2. In a magic square, every row adds up to 27. One row has 6, 9, and ____. What is the missing number?
12
Subtract 6 + 9 = 15 from 27: 27 − 15 = 12.
3. In a magic square, every row adds up to 24. One row has 5, 4, and ____. What is the missing number?
15
Subtract 5 + 4 = 9 from 24: 24 − 9 = 15.
4. In a magic square, every row adds up to 14. One row has 5, 6, and ____. What is the missing number?
3
Subtract 5 + 6 = 11 from 14: 14 − 11 = 3.
5. In a magic square, every row adds up to 37. One row has 18, 3, and ____. What is the missing number?
16
Subtract 18 + 3 = 21 from 37: 37 − 21 = 16.
6. In a magic square, every row adds up to 38. One row has 15, 16, and ____. What is the missing number?
7
Subtract 15 + 16 = 31 from 38: 38 − 31 = 7.
7. In a magic square, every row adds up to 16. One row has 4, 7, and ____. What is the missing number?
5
Subtract 4 + 7 = 11 from 16: 16 − 11 = 5.
8. In a magic square, every row adds up to 36. One row has 20, 4, and ____. What is the missing number?
12
Subtract 20 + 4 = 24 from 36: 36 − 24 = 12.
9. In a magic square, every row adds up to 27. One row has 10, 11, and ____. What is the missing number?
6
Subtract 10 + 11 = 21 from 27: 27 − 21 = 6.
10. In a magic square, every row adds up to 34. One row has 7, 15, and ____. What is the missing number?
12
Subtract 7 + 15 = 22 from 34: 34 − 22 = 12.
11. In a magic square, every row adds up to 44. One row has 16, 19, and ____. What is the missing number?
9
Subtract 16 + 19 = 35 from 44: 44 − 35 = 9.
12. In a magic square, every row adds up to 28. One row has 5, 13, and ____. What is the missing number?
10
Subtract 5 + 13 = 18 from 28: 28 − 18 = 10.

12 questions · Seed 70 · Age guidance, not curriculum certification