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 28. One row has 10, 14, and ____. What is the missing number?
28 · 10 · 14 · Magic square missing values
2. In a magic square, every row adds up to 32. One row has 7, 19, and ____. What is the missing number?
32 · 7 · 19 · Magic square missing values
3. In a magic square, every row adds up to 35. One row has 11, 18, and ____. What is the missing number?
35 · 11 · 18 · Magic square missing values
4. In a magic square, every row adds up to 36. One row has 8, 8, and ____. What is the missing number?
36 · 8 · 8 · Magic square missing values
5. In a magic square, every row adds up to 36. One row has 19, 10, and ____. What is the missing number?
36 · 19 · 10 · Magic square missing values
6. In a magic square, every row adds up to 29. One row has 7, 15, and ____. What is the missing number?
29 · 7 · 15 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 9, 15, and ____. What is the missing number?
29 · 9 · 15 · Magic square missing values
8. In a magic square, every row adds up to 29. One row has 8, 12, and ____. What is the missing number?
29 · 8 · 12 · Magic square missing values
9. In a magic square, every row adds up to 40. One row has 19, 10, and ____. What is the missing number?
40 · 19 · 10 · Magic square missing values
10. In a magic square, every row adds up to 33. One row has 8, 13, and ____. What is the missing number?
33 · 8 · 13 · Magic square missing values
11. In a magic square, every row adds up to 23. One row has 13, 6, and ____. What is the missing number?
23 · 13 · 6 · Magic square missing values
12. In a magic square, every row adds up to 25. One row has 3, 2, and ____. What is the missing number?
25 · 3 · 2 · Magic square missing values

12 questions · Seed 75 · 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 28. One row has 10, 14, and ____. What is the missing number?
4
Subtract 10 + 14 = 24 from 28: 28 − 24 = 4.
2. In a magic square, every row adds up to 32. One row has 7, 19, and ____. What is the missing number?
6
Subtract 7 + 19 = 26 from 32: 32 − 26 = 6.
3. In a magic square, every row adds up to 35. One row has 11, 18, and ____. What is the missing number?
6
Subtract 11 + 18 = 29 from 35: 35 − 29 = 6.
4. In a magic square, every row adds up to 36. One row has 8, 8, and ____. What is the missing number?
20
Subtract 8 + 8 = 16 from 36: 36 − 16 = 20.
5. In a magic square, every row adds up to 36. One row has 19, 10, and ____. What is the missing number?
7
Subtract 19 + 10 = 29 from 36: 36 − 29 = 7.
6. In a magic square, every row adds up to 29. One row has 7, 15, and ____. What is the missing number?
7
Subtract 7 + 15 = 22 from 29: 29 − 22 = 7.
7. In a magic square, every row adds up to 29. One row has 9, 15, and ____. What is the missing number?
5
Subtract 9 + 15 = 24 from 29: 29 − 24 = 5.
8. In a magic square, every row adds up to 29. One row has 8, 12, and ____. What is the missing number?
9
Subtract 8 + 12 = 20 from 29: 29 − 20 = 9.
9. In a magic square, every row adds up to 40. One row has 19, 10, and ____. What is the missing number?
11
Subtract 19 + 10 = 29 from 40: 40 − 29 = 11.
10. In a magic square, every row adds up to 33. One row has 8, 13, and ____. What is the missing number?
12
Subtract 8 + 13 = 21 from 33: 33 − 21 = 12.
11. In a magic square, every row adds up to 23. One row has 13, 6, and ____. What is the missing number?
4
Subtract 13 + 6 = 19 from 23: 23 − 19 = 4.
12. In a magic square, every row adds up to 25. One row has 3, 2, and ____. What is the missing number?
20
Subtract 3 + 2 = 5 from 25: 25 − 5 = 20.

12 questions · Seed 75 · 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 28. One row has 10, 14, and ____. What is the missing number?
28 · 10 · 14 · Magic square missing values
2. In a magic square, every row adds up to 32. One row has 7, 19, and ____. What is the missing number?
32 · 7 · 19 · Magic square missing values
3. In a magic square, every row adds up to 35. One row has 11, 18, and ____. What is the missing number?
35 · 11 · 18 · Magic square missing values
4. In a magic square, every row adds up to 36. One row has 8, 8, and ____. What is the missing number?
36 · 8 · 8 · Magic square missing values
5. In a magic square, every row adds up to 36. One row has 19, 10, and ____. What is the missing number?
36 · 19 · 10 · Magic square missing values
6. In a magic square, every row adds up to 29. One row has 7, 15, and ____. What is the missing number?
29 · 7 · 15 · Magic square missing values
7. In a magic square, every row adds up to 29. One row has 9, 15, and ____. What is the missing number?
29 · 9 · 15 · Magic square missing values
8. In a magic square, every row adds up to 29. One row has 8, 12, and ____. What is the missing number?
29 · 8 · 12 · Magic square missing values
9. In a magic square, every row adds up to 40. One row has 19, 10, and ____. What is the missing number?
40 · 19 · 10 · Magic square missing values
10. In a magic square, every row adds up to 33. One row has 8, 13, and ____. What is the missing number?
33 · 8 · 13 · Magic square missing values
11. In a magic square, every row adds up to 23. One row has 13, 6, and ____. What is the missing number?
23 · 13 · 6 · Magic square missing values
12. In a magic square, every row adds up to 25. One row has 3, 2, and ____. What is the missing number?
25 · 3 · 2 · Magic square missing values

12 questions · Seed 75 · 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 28. One row has 10, 14, and ____. What is the missing number?
4
Subtract 10 + 14 = 24 from 28: 28 − 24 = 4.
2. In a magic square, every row adds up to 32. One row has 7, 19, and ____. What is the missing number?
6
Subtract 7 + 19 = 26 from 32: 32 − 26 = 6.
3. In a magic square, every row adds up to 35. One row has 11, 18, and ____. What is the missing number?
6
Subtract 11 + 18 = 29 from 35: 35 − 29 = 6.
4. In a magic square, every row adds up to 36. One row has 8, 8, and ____. What is the missing number?
20
Subtract 8 + 8 = 16 from 36: 36 − 16 = 20.
5. In a magic square, every row adds up to 36. One row has 19, 10, and ____. What is the missing number?
7
Subtract 19 + 10 = 29 from 36: 36 − 29 = 7.
6. In a magic square, every row adds up to 29. One row has 7, 15, and ____. What is the missing number?
7
Subtract 7 + 15 = 22 from 29: 29 − 22 = 7.
7. In a magic square, every row adds up to 29. One row has 9, 15, and ____. What is the missing number?
5
Subtract 9 + 15 = 24 from 29: 29 − 24 = 5.
8. In a magic square, every row adds up to 29. One row has 8, 12, and ____. What is the missing number?
9
Subtract 8 + 12 = 20 from 29: 29 − 20 = 9.
9. In a magic square, every row adds up to 40. One row has 19, 10, and ____. What is the missing number?
11
Subtract 19 + 10 = 29 from 40: 40 − 29 = 11.
10. In a magic square, every row adds up to 33. One row has 8, 13, and ____. What is the missing number?
12
Subtract 8 + 13 = 21 from 33: 33 − 21 = 12.
11. In a magic square, every row adds up to 23. One row has 13, 6, and ____. What is the missing number?
4
Subtract 13 + 6 = 19 from 23: 23 − 19 = 4.
12. In a magic square, every row adds up to 25. One row has 3, 2, and ____. What is the missing number?
20
Subtract 3 + 2 = 5 from 25: 25 − 5 = 20.

12 questions · Seed 75 · Age guidance, not curriculum certification