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 23. One row has 5, 15, and ____. What is the missing number?
23 · 5 · 15 · Magic square missing values
2. 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
3. In a magic square, every row adds up to 34. One row has 5, 15, and ____. What is the missing number?
34 · 5 · 15 · Magic square missing values
4. In a magic square, every row adds up to 36. One row has 13, 12, and ____. What is the missing number?
36 · 13 · 12 · Magic square missing values
5. In a magic square, every row adds up to 37. One row has 13, 17, and ____. What is the missing number?
37 · 13 · 17 · Magic square missing values
6. In a magic square, every row adds up to 34. One row has 12, 10, and ____. What is the missing number?
34 · 12 · 10 · Magic square missing values
7. In a magic square, every row adds up to 25. One row has 11, 9, and ____. What is the missing number?
25 · 11 · 9 · Magic square missing values
8. In a magic square, every row adds up to 24. One row has 5, 7, and ____. What is the missing number?
24 · 5 · 7 · Magic square missing values
9. In a magic square, every row adds up to 29. One row has 15, 11, and ____. What is the missing number?
29 · 15 · 11 · Magic square missing values
10. In a magic square, every row adds up to 18. One row has 2, 8, and ____. What is the missing number?
18 · 2 · 8 · Magic square missing values
11. In a magic square, every row adds up to 16. One row has 7, 2, and ____. What is the missing number?
16 · 7 · 2 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 6, 18, and ____. What is the missing number?
39 · 6 · 18 · Magic square missing values

12 questions · Seed 104748 · 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 23. One row has 5, 15, and ____. What is the missing number?
3
Subtract 5 + 15 = 20 from 23: 23 − 20 = 3.
2. 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.
3. In a magic square, every row adds up to 34. One row has 5, 15, and ____. What is the missing number?
14
Subtract 5 + 15 = 20 from 34: 34 − 20 = 14.
4. In a magic square, every row adds up to 36. One row has 13, 12, and ____. What is the missing number?
11
Subtract 13 + 12 = 25 from 36: 36 − 25 = 11.
5. In a magic square, every row adds up to 37. One row has 13, 17, and ____. What is the missing number?
7
Subtract 13 + 17 = 30 from 37: 37 − 30 = 7.
6. In a magic square, every row adds up to 34. One row has 12, 10, and ____. What is the missing number?
12
Subtract 12 + 10 = 22 from 34: 34 − 22 = 12.
7. In a magic square, every row adds up to 25. One row has 11, 9, and ____. What is the missing number?
5
Subtract 11 + 9 = 20 from 25: 25 − 20 = 5.
8. In a magic square, every row adds up to 24. One row has 5, 7, and ____. What is the missing number?
12
Subtract 5 + 7 = 12 from 24: 24 − 12 = 12.
9. In a magic square, every row adds up to 29. One row has 15, 11, and ____. What is the missing number?
3
Subtract 15 + 11 = 26 from 29: 29 − 26 = 3.
10. In a magic square, every row adds up to 18. One row has 2, 8, and ____. What is the missing number?
8
Subtract 2 + 8 = 10 from 18: 18 − 10 = 8.
11. In a magic square, every row adds up to 16. One row has 7, 2, and ____. What is the missing number?
7
Subtract 7 + 2 = 9 from 16: 16 − 9 = 7.
12. In a magic square, every row adds up to 39. One row has 6, 18, and ____. What is the missing number?
15
Subtract 6 + 18 = 24 from 39: 39 − 24 = 15.

12 questions · Seed 104748 · 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 23. One row has 5, 15, and ____. What is the missing number?
23 · 5 · 15 · Magic square missing values
2. 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
3. In a magic square, every row adds up to 34. One row has 5, 15, and ____. What is the missing number?
34 · 5 · 15 · Magic square missing values
4. In a magic square, every row adds up to 36. One row has 13, 12, and ____. What is the missing number?
36 · 13 · 12 · Magic square missing values
5. In a magic square, every row adds up to 37. One row has 13, 17, and ____. What is the missing number?
37 · 13 · 17 · Magic square missing values
6. In a magic square, every row adds up to 34. One row has 12, 10, and ____. What is the missing number?
34 · 12 · 10 · Magic square missing values
7. In a magic square, every row adds up to 25. One row has 11, 9, and ____. What is the missing number?
25 · 11 · 9 · Magic square missing values
8. In a magic square, every row adds up to 24. One row has 5, 7, and ____. What is the missing number?
24 · 5 · 7 · Magic square missing values
9. In a magic square, every row adds up to 29. One row has 15, 11, and ____. What is the missing number?
29 · 15 · 11 · Magic square missing values
10. In a magic square, every row adds up to 18. One row has 2, 8, and ____. What is the missing number?
18 · 2 · 8 · Magic square missing values
11. In a magic square, every row adds up to 16. One row has 7, 2, and ____. What is the missing number?
16 · 7 · 2 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 6, 18, and ____. What is the missing number?
39 · 6 · 18 · Magic square missing values

12 questions · Seed 104748 · 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 23. One row has 5, 15, and ____. What is the missing number?
3
Subtract 5 + 15 = 20 from 23: 23 − 20 = 3.
2. 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.
3. In a magic square, every row adds up to 34. One row has 5, 15, and ____. What is the missing number?
14
Subtract 5 + 15 = 20 from 34: 34 − 20 = 14.
4. In a magic square, every row adds up to 36. One row has 13, 12, and ____. What is the missing number?
11
Subtract 13 + 12 = 25 from 36: 36 − 25 = 11.
5. In a magic square, every row adds up to 37. One row has 13, 17, and ____. What is the missing number?
7
Subtract 13 + 17 = 30 from 37: 37 − 30 = 7.
6. In a magic square, every row adds up to 34. One row has 12, 10, and ____. What is the missing number?
12
Subtract 12 + 10 = 22 from 34: 34 − 22 = 12.
7. In a magic square, every row adds up to 25. One row has 11, 9, and ____. What is the missing number?
5
Subtract 11 + 9 = 20 from 25: 25 − 20 = 5.
8. In a magic square, every row adds up to 24. One row has 5, 7, and ____. What is the missing number?
12
Subtract 5 + 7 = 12 from 24: 24 − 12 = 12.
9. In a magic square, every row adds up to 29. One row has 15, 11, and ____. What is the missing number?
3
Subtract 15 + 11 = 26 from 29: 29 − 26 = 3.
10. In a magic square, every row adds up to 18. One row has 2, 8, and ____. What is the missing number?
8
Subtract 2 + 8 = 10 from 18: 18 − 10 = 8.
11. In a magic square, every row adds up to 16. One row has 7, 2, and ____. What is the missing number?
7
Subtract 7 + 2 = 9 from 16: 16 − 9 = 7.
12. In a magic square, every row adds up to 39. One row has 6, 18, and ____. What is the missing number?
15
Subtract 6 + 18 = 24 from 39: 39 − 24 = 15.

12 questions · Seed 104748 · Age guidance, not curriculum certification