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 40. One row has 18, 9, and ____. What is the missing number?
40 · 18 · 9 · Magic square missing values
2. In a magic square, every row adds up to 47. One row has 18, 11, and ____. What is the missing number?
47 · 18 · 11 · Magic square missing values
3. In a magic square, every row adds up to 36. One row has 14, 16, and ____. What is the missing number?
36 · 14 · 16 · Magic square missing values
4. In a magic square, every row adds up to 37. One row has 10, 10, and ____. What is the missing number?
37 · 10 · 10 · Magic square missing values
5. In a magic square, every row adds up to 18. One row has 3, 13, and ____. What is the missing number?
18 · 3 · 13 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 12, 6, and ____. What is the missing number?
38 · 12 · 6 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 2, 19, and ____. What is the missing number?
29 · 2 · 19 · Magic square missing values
8. In a magic square, every row adds up to 25. One row has 5, 6, and ____. What is the missing number?
25 · 5 · 6 · Magic square missing values
9. In a magic square, every row adds up to 23. One row has 11, 4, and ____. What is the missing number?
23 · 11 · 4 · Magic square missing values
10. In a magic square, every row adds up to 27. One row has 6, 12, and ____. What is the missing number?
27 · 6 · 12 · Magic square missing values
11. In a magic square, every row adds up to 27. One row has 14, 5, and ____. What is the missing number?
27 · 14 · 5 · Magic square missing values
12. In a magic square, every row adds up to 27. One row has 8, 2, and ____. What is the missing number?
27 · 8 · 2 · Magic square missing values

12 questions · Seed 72 · 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 40. One row has 18, 9, and ____. What is the missing number?
13
Subtract 18 + 9 = 27 from 40: 40 − 27 = 13.
2. In a magic square, every row adds up to 47. One row has 18, 11, and ____. What is the missing number?
18
Subtract 18 + 11 = 29 from 47: 47 − 29 = 18.
3. In a magic square, every row adds up to 36. One row has 14, 16, and ____. What is the missing number?
6
Subtract 14 + 16 = 30 from 36: 36 − 30 = 6.
4. In a magic square, every row adds up to 37. One row has 10, 10, and ____. What is the missing number?
17
Subtract 10 + 10 = 20 from 37: 37 − 20 = 17.
5. In a magic square, every row adds up to 18. One row has 3, 13, and ____. What is the missing number?
2
Subtract 3 + 13 = 16 from 18: 18 − 16 = 2.
6. In a magic square, every row adds up to 38. One row has 12, 6, and ____. What is the missing number?
20
Subtract 12 + 6 = 18 from 38: 38 − 18 = 20.
7. In a magic square, every row adds up to 29. One row has 2, 19, and ____. What is the missing number?
8
Subtract 2 + 19 = 21 from 29: 29 − 21 = 8.
8. In a magic square, every row adds up to 25. One row has 5, 6, and ____. What is the missing number?
14
Subtract 5 + 6 = 11 from 25: 25 − 11 = 14.
9. In a magic square, every row adds up to 23. One row has 11, 4, and ____. What is the missing number?
8
Subtract 11 + 4 = 15 from 23: 23 − 15 = 8.
10. In a magic square, every row adds up to 27. One row has 6, 12, and ____. What is the missing number?
9
Subtract 6 + 12 = 18 from 27: 27 − 18 = 9.
11. In a magic square, every row adds up to 27. One row has 14, 5, and ____. What is the missing number?
8
Subtract 14 + 5 = 19 from 27: 27 − 19 = 8.
12. In a magic square, every row adds up to 27. One row has 8, 2, and ____. What is the missing number?
17
Subtract 8 + 2 = 10 from 27: 27 − 10 = 17.

12 questions · Seed 72 · 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 40. One row has 18, 9, and ____. What is the missing number?
40 · 18 · 9 · Magic square missing values
2. In a magic square, every row adds up to 47. One row has 18, 11, and ____. What is the missing number?
47 · 18 · 11 · Magic square missing values
3. In a magic square, every row adds up to 36. One row has 14, 16, and ____. What is the missing number?
36 · 14 · 16 · Magic square missing values
4. In a magic square, every row adds up to 37. One row has 10, 10, and ____. What is the missing number?
37 · 10 · 10 · Magic square missing values
5. In a magic square, every row adds up to 18. One row has 3, 13, and ____. What is the missing number?
18 · 3 · 13 · Magic square missing values
6. In a magic square, every row adds up to 38. One row has 12, 6, and ____. What is the missing number?
38 · 12 · 6 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 2, 19, and ____. What is the missing number?
29 · 2 · 19 · Magic square missing values
8. In a magic square, every row adds up to 25. One row has 5, 6, and ____. What is the missing number?
25 · 5 · 6 · Magic square missing values
9. In a magic square, every row adds up to 23. One row has 11, 4, and ____. What is the missing number?
23 · 11 · 4 · Magic square missing values
10. In a magic square, every row adds up to 27. One row has 6, 12, and ____. What is the missing number?
27 · 6 · 12 · Magic square missing values
11. In a magic square, every row adds up to 27. One row has 14, 5, and ____. What is the missing number?
27 · 14 · 5 · Magic square missing values
12. In a magic square, every row adds up to 27. One row has 8, 2, and ____. What is the missing number?
27 · 8 · 2 · Magic square missing values

12 questions · Seed 72 · 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 40. One row has 18, 9, and ____. What is the missing number?
13
Subtract 18 + 9 = 27 from 40: 40 − 27 = 13.
2. In a magic square, every row adds up to 47. One row has 18, 11, and ____. What is the missing number?
18
Subtract 18 + 11 = 29 from 47: 47 − 29 = 18.
3. In a magic square, every row adds up to 36. One row has 14, 16, and ____. What is the missing number?
6
Subtract 14 + 16 = 30 from 36: 36 − 30 = 6.
4. In a magic square, every row adds up to 37. One row has 10, 10, and ____. What is the missing number?
17
Subtract 10 + 10 = 20 from 37: 37 − 20 = 17.
5. In a magic square, every row adds up to 18. One row has 3, 13, and ____. What is the missing number?
2
Subtract 3 + 13 = 16 from 18: 18 − 16 = 2.
6. In a magic square, every row adds up to 38. One row has 12, 6, and ____. What is the missing number?
20
Subtract 12 + 6 = 18 from 38: 38 − 18 = 20.
7. In a magic square, every row adds up to 29. One row has 2, 19, and ____. What is the missing number?
8
Subtract 2 + 19 = 21 from 29: 29 − 21 = 8.
8. In a magic square, every row adds up to 25. One row has 5, 6, and ____. What is the missing number?
14
Subtract 5 + 6 = 11 from 25: 25 − 11 = 14.
9. In a magic square, every row adds up to 23. One row has 11, 4, and ____. What is the missing number?
8
Subtract 11 + 4 = 15 from 23: 23 − 15 = 8.
10. In a magic square, every row adds up to 27. One row has 6, 12, and ____. What is the missing number?
9
Subtract 6 + 12 = 18 from 27: 27 − 18 = 9.
11. In a magic square, every row adds up to 27. One row has 14, 5, and ____. What is the missing number?
8
Subtract 14 + 5 = 19 from 27: 27 − 19 = 8.
12. In a magic square, every row adds up to 27. One row has 8, 2, and ____. What is the missing number?
17
Subtract 8 + 2 = 10 from 27: 27 − 10 = 17.

12 questions · Seed 72 · Age guidance, not curriculum certification