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 13. One row has 3, 3, and ____. What is the missing number?
13 · 3 · 3 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 10, 6, and ____. What is the missing number?
24 · 10 · 6 · Magic square missing values
3. In a magic square, every row adds up to 42. One row has 15, 14, and ____. What is the missing number?
42 · 15 · 14 · Magic square missing values
4. In a magic square, every row adds up to 35. One row has 2, 19, and ____. What is the missing number?
35 · 2 · 19 · Magic square missing values
5. In a magic square, every row adds up to 12. One row has 7, 3, and ____. What is the missing number?
12 · 7 · 3 · Magic square missing values
6. In a magic square, every row adds up to 14. One row has 5, 4, and ____. What is the missing number?
14 · 5 · 4 · Magic square missing values
7. In a magic square, every row adds up to 26. One row has 17, 6, and ____. What is the missing number?
26 · 17 · 6 · Magic square missing values
8. In a magic square, every row adds up to 31. One row has 3, 17, and ____. What is the missing number?
31 · 3 · 17 · Magic square missing values
9. In a magic square, every row adds up to 39. One row has 13, 17, and ____. What is the missing number?
39 · 13 · 17 · Magic square missing values
10. In a magic square, every row adds up to 37. One row has 7, 11, and ____. What is the missing number?
37 · 7 · 11 · Magic square missing values
11. In a magic square, every row adds up to 29. One row has 11, 14, and ____. What is the missing number?
29 · 11 · 14 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 16, 7, and ____. What is the missing number?
39 · 16 · 7 · Magic square missing values

12 questions · Seed 104750 · 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 13. One row has 3, 3, and ____. What is the missing number?
7
Subtract 3 + 3 = 6 from 13: 13 − 6 = 7.
2. In a magic square, every row adds up to 24. One row has 10, 6, and ____. What is the missing number?
8
Subtract 10 + 6 = 16 from 24: 24 − 16 = 8.
3. In a magic square, every row adds up to 42. One row has 15, 14, and ____. What is the missing number?
13
Subtract 15 + 14 = 29 from 42: 42 − 29 = 13.
4. In a magic square, every row adds up to 35. One row has 2, 19, and ____. What is the missing number?
14
Subtract 2 + 19 = 21 from 35: 35 − 21 = 14.
5. In a magic square, every row adds up to 12. One row has 7, 3, and ____. What is the missing number?
2
Subtract 7 + 3 = 10 from 12: 12 − 10 = 2.
6. In a magic square, every row adds up to 14. One row has 5, 4, and ____. What is the missing number?
5
Subtract 5 + 4 = 9 from 14: 14 − 9 = 5.
7. In a magic square, every row adds up to 26. One row has 17, 6, and ____. What is the missing number?
3
Subtract 17 + 6 = 23 from 26: 26 − 23 = 3.
8. In a magic square, every row adds up to 31. One row has 3, 17, and ____. What is the missing number?
11
Subtract 3 + 17 = 20 from 31: 31 − 20 = 11.
9. In a magic square, every row adds up to 39. One row has 13, 17, and ____. What is the missing number?
9
Subtract 13 + 17 = 30 from 39: 39 − 30 = 9.
10. In a magic square, every row adds up to 37. One row has 7, 11, and ____. What is the missing number?
19
Subtract 7 + 11 = 18 from 37: 37 − 18 = 19.
11. In a magic square, every row adds up to 29. One row has 11, 14, and ____. What is the missing number?
4
Subtract 11 + 14 = 25 from 29: 29 − 25 = 4.
12. In a magic square, every row adds up to 39. One row has 16, 7, and ____. What is the missing number?
16
Subtract 16 + 7 = 23 from 39: 39 − 23 = 16.

12 questions · Seed 104750 · 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 13. One row has 3, 3, and ____. What is the missing number?
13 · 3 · 3 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 10, 6, and ____. What is the missing number?
24 · 10 · 6 · Magic square missing values
3. In a magic square, every row adds up to 42. One row has 15, 14, and ____. What is the missing number?
42 · 15 · 14 · Magic square missing values
4. In a magic square, every row adds up to 35. One row has 2, 19, and ____. What is the missing number?
35 · 2 · 19 · Magic square missing values
5. In a magic square, every row adds up to 12. One row has 7, 3, and ____. What is the missing number?
12 · 7 · 3 · Magic square missing values
6. In a magic square, every row adds up to 14. One row has 5, 4, and ____. What is the missing number?
14 · 5 · 4 · Magic square missing values
7. In a magic square, every row adds up to 26. One row has 17, 6, and ____. What is the missing number?
26 · 17 · 6 · Magic square missing values
8. In a magic square, every row adds up to 31. One row has 3, 17, and ____. What is the missing number?
31 · 3 · 17 · Magic square missing values
9. In a magic square, every row adds up to 39. One row has 13, 17, and ____. What is the missing number?
39 · 13 · 17 · Magic square missing values
10. In a magic square, every row adds up to 37. One row has 7, 11, and ____. What is the missing number?
37 · 7 · 11 · Magic square missing values
11. In a magic square, every row adds up to 29. One row has 11, 14, and ____. What is the missing number?
29 · 11 · 14 · Magic square missing values
12. In a magic square, every row adds up to 39. One row has 16, 7, and ____. What is the missing number?
39 · 16 · 7 · Magic square missing values

12 questions · Seed 104750 · 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 13. One row has 3, 3, and ____. What is the missing number?
7
Subtract 3 + 3 = 6 from 13: 13 − 6 = 7.
2. In a magic square, every row adds up to 24. One row has 10, 6, and ____. What is the missing number?
8
Subtract 10 + 6 = 16 from 24: 24 − 16 = 8.
3. In a magic square, every row adds up to 42. One row has 15, 14, and ____. What is the missing number?
13
Subtract 15 + 14 = 29 from 42: 42 − 29 = 13.
4. In a magic square, every row adds up to 35. One row has 2, 19, and ____. What is the missing number?
14
Subtract 2 + 19 = 21 from 35: 35 − 21 = 14.
5. In a magic square, every row adds up to 12. One row has 7, 3, and ____. What is the missing number?
2
Subtract 7 + 3 = 10 from 12: 12 − 10 = 2.
6. In a magic square, every row adds up to 14. One row has 5, 4, and ____. What is the missing number?
5
Subtract 5 + 4 = 9 from 14: 14 − 9 = 5.
7. In a magic square, every row adds up to 26. One row has 17, 6, and ____. What is the missing number?
3
Subtract 17 + 6 = 23 from 26: 26 − 23 = 3.
8. In a magic square, every row adds up to 31. One row has 3, 17, and ____. What is the missing number?
11
Subtract 3 + 17 = 20 from 31: 31 − 20 = 11.
9. In a magic square, every row adds up to 39. One row has 13, 17, and ____. What is the missing number?
9
Subtract 13 + 17 = 30 from 39: 39 − 30 = 9.
10. In a magic square, every row adds up to 37. One row has 7, 11, and ____. What is the missing number?
19
Subtract 7 + 11 = 18 from 37: 37 − 18 = 19.
11. In a magic square, every row adds up to 29. One row has 11, 14, and ____. What is the missing number?
4
Subtract 11 + 14 = 25 from 29: 29 − 25 = 4.
12. In a magic square, every row adds up to 39. One row has 16, 7, and ____. What is the missing number?
16
Subtract 16 + 7 = 23 from 39: 39 − 23 = 16.

12 questions · Seed 104750 · Age guidance, not curriculum certification