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 58. One row has 18, 20, and ____. What is the missing number?
58 · 18 · 20 · Magic square missing values
2. In a magic square, every row adds up to 27. One row has 12, 8, and ____. What is the missing number?
27 · 12 · 8 · Magic square missing values
3. In a magic square, every row adds up to 26. One row has 3, 10, and ____. What is the missing number?
26 · 3 · 10 · Magic square missing values
4. In a magic square, every row adds up to 22. One row has 2, 8, and ____. What is the missing number?
22 · 2 · 8 · Magic square missing values
5. In a magic square, every row adds up to 28. One row has 19, 2, and ____. What is the missing number?
28 · 19 · 2 · Magic square missing values
6. In a magic square, every row adds up to 32. One row has 6, 11, and ____. What is the missing number?
32 · 6 · 11 · Magic square missing values
7. In a magic square, every row adds up to 39. One row has 10, 11, and ____. What is the missing number?
39 · 10 · 11 · Magic square missing values
8. In a magic square, every row adds up to 36. One row has 14, 3, and ____. What is the missing number?
36 · 14 · 3 · Magic square missing values
9. In a magic square, every row adds up to 25. One row has 3, 8, and ____. What is the missing number?
25 · 3 · 8 · Magic square missing values
10. In a magic square, every row adds up to 17. One row has 2, 2, and ____. What is the missing number?
17 · 2 · 2 · Magic square missing values
11. In a magic square, every row adds up to 40. One row has 10, 15, and ____. What is the missing number?
40 · 10 · 15 · Magic square missing values
12. In a magic square, every row adds up to 37. One row has 17, 4, and ____. What is the missing number?
37 · 17 · 4 · Magic square missing values

12 questions · Seed 58 · 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 58. One row has 18, 20, and ____. What is the missing number?
20
Subtract 18 + 20 = 38 from 58: 58 − 38 = 20.
2. In a magic square, every row adds up to 27. One row has 12, 8, and ____. What is the missing number?
7
Subtract 12 + 8 = 20 from 27: 27 − 20 = 7.
3. In a magic square, every row adds up to 26. One row has 3, 10, and ____. What is the missing number?
13
Subtract 3 + 10 = 13 from 26: 26 − 13 = 13.
4. In a magic square, every row adds up to 22. One row has 2, 8, and ____. What is the missing number?
12
Subtract 2 + 8 = 10 from 22: 22 − 10 = 12.
5. In a magic square, every row adds up to 28. One row has 19, 2, and ____. What is the missing number?
7
Subtract 19 + 2 = 21 from 28: 28 − 21 = 7.
6. In a magic square, every row adds up to 32. One row has 6, 11, and ____. What is the missing number?
15
Subtract 6 + 11 = 17 from 32: 32 − 17 = 15.
7. In a magic square, every row adds up to 39. One row has 10, 11, and ____. What is the missing number?
18
Subtract 10 + 11 = 21 from 39: 39 − 21 = 18.
8. In a magic square, every row adds up to 36. One row has 14, 3, and ____. What is the missing number?
19
Subtract 14 + 3 = 17 from 36: 36 − 17 = 19.
9. In a magic square, every row adds up to 25. One row has 3, 8, and ____. What is the missing number?
14
Subtract 3 + 8 = 11 from 25: 25 − 11 = 14.
10. In a magic square, every row adds up to 17. One row has 2, 2, and ____. What is the missing number?
13
Subtract 2 + 2 = 4 from 17: 17 − 4 = 13.
11. In a magic square, every row adds up to 40. One row has 10, 15, and ____. What is the missing number?
15
Subtract 10 + 15 = 25 from 40: 40 − 25 = 15.
12. In a magic square, every row adds up to 37. One row has 17, 4, and ____. What is the missing number?
16
Subtract 17 + 4 = 21 from 37: 37 − 21 = 16.

12 questions · Seed 58 · 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 58. One row has 18, 20, and ____. What is the missing number?
58 · 18 · 20 · Magic square missing values
2. In a magic square, every row adds up to 27. One row has 12, 8, and ____. What is the missing number?
27 · 12 · 8 · Magic square missing values
3. In a magic square, every row adds up to 26. One row has 3, 10, and ____. What is the missing number?
26 · 3 · 10 · Magic square missing values
4. In a magic square, every row adds up to 22. One row has 2, 8, and ____. What is the missing number?
22 · 2 · 8 · Magic square missing values
5. In a magic square, every row adds up to 28. One row has 19, 2, and ____. What is the missing number?
28 · 19 · 2 · Magic square missing values
6. In a magic square, every row adds up to 32. One row has 6, 11, and ____. What is the missing number?
32 · 6 · 11 · Magic square missing values
7. In a magic square, every row adds up to 39. One row has 10, 11, and ____. What is the missing number?
39 · 10 · 11 · Magic square missing values
8. In a magic square, every row adds up to 36. One row has 14, 3, and ____. What is the missing number?
36 · 14 · 3 · Magic square missing values
9. In a magic square, every row adds up to 25. One row has 3, 8, and ____. What is the missing number?
25 · 3 · 8 · Magic square missing values
10. In a magic square, every row adds up to 17. One row has 2, 2, and ____. What is the missing number?
17 · 2 · 2 · Magic square missing values
11. In a magic square, every row adds up to 40. One row has 10, 15, and ____. What is the missing number?
40 · 10 · 15 · Magic square missing values
12. In a magic square, every row adds up to 37. One row has 17, 4, and ____. What is the missing number?
37 · 17 · 4 · Magic square missing values

12 questions · Seed 58 · 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 58. One row has 18, 20, and ____. What is the missing number?
20
Subtract 18 + 20 = 38 from 58: 58 − 38 = 20.
2. In a magic square, every row adds up to 27. One row has 12, 8, and ____. What is the missing number?
7
Subtract 12 + 8 = 20 from 27: 27 − 20 = 7.
3. In a magic square, every row adds up to 26. One row has 3, 10, and ____. What is the missing number?
13
Subtract 3 + 10 = 13 from 26: 26 − 13 = 13.
4. In a magic square, every row adds up to 22. One row has 2, 8, and ____. What is the missing number?
12
Subtract 2 + 8 = 10 from 22: 22 − 10 = 12.
5. In a magic square, every row adds up to 28. One row has 19, 2, and ____. What is the missing number?
7
Subtract 19 + 2 = 21 from 28: 28 − 21 = 7.
6. In a magic square, every row adds up to 32. One row has 6, 11, and ____. What is the missing number?
15
Subtract 6 + 11 = 17 from 32: 32 − 17 = 15.
7. In a magic square, every row adds up to 39. One row has 10, 11, and ____. What is the missing number?
18
Subtract 10 + 11 = 21 from 39: 39 − 21 = 18.
8. In a magic square, every row adds up to 36. One row has 14, 3, and ____. What is the missing number?
19
Subtract 14 + 3 = 17 from 36: 36 − 17 = 19.
9. In a magic square, every row adds up to 25. One row has 3, 8, and ____. What is the missing number?
14
Subtract 3 + 8 = 11 from 25: 25 − 11 = 14.
10. In a magic square, every row adds up to 17. One row has 2, 2, and ____. What is the missing number?
13
Subtract 2 + 2 = 4 from 17: 17 − 4 = 13.
11. In a magic square, every row adds up to 40. One row has 10, 15, and ____. What is the missing number?
15
Subtract 10 + 15 = 25 from 40: 40 − 25 = 15.
12. In a magic square, every row adds up to 37. One row has 17, 4, and ____. What is the missing number?
16
Subtract 17 + 4 = 21 from 37: 37 − 21 = 16.

12 questions · Seed 58 · Age guidance, not curriculum certification