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 30. One row has 5, 13, and ____. What is the missing number?
30 · 5 · 13 · Magic square missing values
2. In a magic square, every row adds up to 44. One row has 18, 12, and ____. What is the missing number?
44 · 18 · 12 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 4, 15, and ____. What is the missing number?
24 · 4 · 15 · Magic square missing values
4. In a magic square, every row adds up to 43. One row has 18, 5, and ____. What is the missing number?
43 · 18 · 5 · Magic square missing values
5. In a magic square, every row adds up to 40. One row has 16, 11, and ____. What is the missing number?
40 · 16 · 11 · Magic square missing values
6. In a magic square, every row adds up to 32. One row has 15, 13, and ____. What is the missing number?
32 · 15 · 13 · Magic square missing values
7. In a magic square, every row adds up to 38. One row has 14, 18, and ____. What is the missing number?
38 · 14 · 18 · Magic square missing values
8. In a magic square, every row adds up to 33. One row has 8, 7, and ____. What is the missing number?
33 · 8 · 7 · Magic square missing values
9. In a magic square, every row adds up to 30. One row has 15, 6, and ____. What is the missing number?
30 · 15 · 6 · Magic square missing values
10. In a magic square, every row adds up to 30. One row has 15, 10, and ____. What is the missing number?
30 · 15 · 10 · Magic square missing values
11. In a magic square, every row adds up to 25. One row has 9, 12, and ____. What is the missing number?
25 · 9 · 12 · Magic square missing values
12. In a magic square, every row adds up to 20. One row has 2, 4, and ____. What is the missing number?
20 · 2 · 4 · Magic square missing values

12 questions · Seed 42 · 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 30. One row has 5, 13, and ____. What is the missing number?
12
Subtract 5 + 13 = 18 from 30: 30 − 18 = 12.
2. In a magic square, every row adds up to 44. One row has 18, 12, and ____. What is the missing number?
14
Subtract 18 + 12 = 30 from 44: 44 − 30 = 14.
3. In a magic square, every row adds up to 24. One row has 4, 15, and ____. What is the missing number?
5
Subtract 4 + 15 = 19 from 24: 24 − 19 = 5.
4. In a magic square, every row adds up to 43. One row has 18, 5, and ____. What is the missing number?
20
Subtract 18 + 5 = 23 from 43: 43 − 23 = 20.
5. In a magic square, every row adds up to 40. One row has 16, 11, and ____. What is the missing number?
13
Subtract 16 + 11 = 27 from 40: 40 − 27 = 13.
6. In a magic square, every row adds up to 32. One row has 15, 13, and ____. What is the missing number?
4
Subtract 15 + 13 = 28 from 32: 32 − 28 = 4.
7. In a magic square, every row adds up to 38. One row has 14, 18, and ____. What is the missing number?
6
Subtract 14 + 18 = 32 from 38: 38 − 32 = 6.
8. In a magic square, every row adds up to 33. One row has 8, 7, and ____. What is the missing number?
18
Subtract 8 + 7 = 15 from 33: 33 − 15 = 18.
9. In a magic square, every row adds up to 30. One row has 15, 6, and ____. What is the missing number?
9
Subtract 15 + 6 = 21 from 30: 30 − 21 = 9.
10. In a magic square, every row adds up to 30. One row has 15, 10, and ____. What is the missing number?
5
Subtract 15 + 10 = 25 from 30: 30 − 25 = 5.
11. In a magic square, every row adds up to 25. One row has 9, 12, and ____. What is the missing number?
4
Subtract 9 + 12 = 21 from 25: 25 − 21 = 4.
12. In a magic square, every row adds up to 20. One row has 2, 4, and ____. What is the missing number?
14
Subtract 2 + 4 = 6 from 20: 20 − 6 = 14.

12 questions · Seed 42 · 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 30. One row has 5, 13, and ____. What is the missing number?
30 · 5 · 13 · Magic square missing values
2. In a magic square, every row adds up to 44. One row has 18, 12, and ____. What is the missing number?
44 · 18 · 12 · Magic square missing values
3. In a magic square, every row adds up to 24. One row has 4, 15, and ____. What is the missing number?
24 · 4 · 15 · Magic square missing values
4. In a magic square, every row adds up to 43. One row has 18, 5, and ____. What is the missing number?
43 · 18 · 5 · Magic square missing values
5. In a magic square, every row adds up to 40. One row has 16, 11, and ____. What is the missing number?
40 · 16 · 11 · Magic square missing values
6. In a magic square, every row adds up to 32. One row has 15, 13, and ____. What is the missing number?
32 · 15 · 13 · Magic square missing values
7. In a magic square, every row adds up to 38. One row has 14, 18, and ____. What is the missing number?
38 · 14 · 18 · Magic square missing values
8. In a magic square, every row adds up to 33. One row has 8, 7, and ____. What is the missing number?
33 · 8 · 7 · Magic square missing values
9. In a magic square, every row adds up to 30. One row has 15, 6, and ____. What is the missing number?
30 · 15 · 6 · Magic square missing values
10. In a magic square, every row adds up to 30. One row has 15, 10, and ____. What is the missing number?
30 · 15 · 10 · Magic square missing values
11. In a magic square, every row adds up to 25. One row has 9, 12, and ____. What is the missing number?
25 · 9 · 12 · Magic square missing values
12. In a magic square, every row adds up to 20. One row has 2, 4, and ____. What is the missing number?
20 · 2 · 4 · Magic square missing values

12 questions · Seed 42 · 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 30. One row has 5, 13, and ____. What is the missing number?
12
Subtract 5 + 13 = 18 from 30: 30 − 18 = 12.
2. In a magic square, every row adds up to 44. One row has 18, 12, and ____. What is the missing number?
14
Subtract 18 + 12 = 30 from 44: 44 − 30 = 14.
3. In a magic square, every row adds up to 24. One row has 4, 15, and ____. What is the missing number?
5
Subtract 4 + 15 = 19 from 24: 24 − 19 = 5.
4. In a magic square, every row adds up to 43. One row has 18, 5, and ____. What is the missing number?
20
Subtract 18 + 5 = 23 from 43: 43 − 23 = 20.
5. In a magic square, every row adds up to 40. One row has 16, 11, and ____. What is the missing number?
13
Subtract 16 + 11 = 27 from 40: 40 − 27 = 13.
6. In a magic square, every row adds up to 32. One row has 15, 13, and ____. What is the missing number?
4
Subtract 15 + 13 = 28 from 32: 32 − 28 = 4.
7. In a magic square, every row adds up to 38. One row has 14, 18, and ____. What is the missing number?
6
Subtract 14 + 18 = 32 from 38: 38 − 32 = 6.
8. In a magic square, every row adds up to 33. One row has 8, 7, and ____. What is the missing number?
18
Subtract 8 + 7 = 15 from 33: 33 − 15 = 18.
9. In a magic square, every row adds up to 30. One row has 15, 6, and ____. What is the missing number?
9
Subtract 15 + 6 = 21 from 30: 30 − 21 = 9.
10. In a magic square, every row adds up to 30. One row has 15, 10, and ____. What is the missing number?
5
Subtract 15 + 10 = 25 from 30: 30 − 25 = 5.
11. In a magic square, every row adds up to 25. One row has 9, 12, and ____. What is the missing number?
4
Subtract 9 + 12 = 21 from 25: 25 − 21 = 4.
12. In a magic square, every row adds up to 20. One row has 2, 4, and ____. What is the missing number?
14
Subtract 2 + 4 = 6 from 20: 20 − 6 = 14.

12 questions · Seed 42 · Age guidance, not curriculum certification