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 23. One row has 5, 16, and ____. What is the missing number?
23 · 5 · 16 · Magic square missing values
2. In a magic square, every row adds up to 19. One row has 7, 4, and ____. What is the missing number?
19 · 7 · 4 · Magic square missing values
3. In a magic square, every row adds up to 40. One row has 18, 8, and ____. What is the missing number?
40 · 18 · 8 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 8, 3, and ____. What is the missing number?
31 · 8 · 3 · Magic square missing values
5. In a magic square, every row adds up to 45. One row has 15, 20, and ____. What is the missing number?
45 · 15 · 20 · Magic square missing values
6. In a magic square, every row adds up to 29. One row has 14, 2, and ____. What is the missing number?
29 · 14 · 2 · Magic square missing values
7. In a magic square, every row adds up to 28. One row has 16, 2, and ____. What is the missing number?
28 · 16 · 2 · Magic square missing values
8. In a magic square, every row adds up to 28. One row has 6, 12, and ____. What is the missing number?
28 · 6 · 12 · Magic square missing values
9. In a magic square, every row adds up to 56. One row has 20, 20, and ____. What is the missing number?
56 · 20 · 20 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 12, 18, and ____. What is the missing number?
34 · 12 · 18 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 12, 9, and ____. What is the missing number?
26 · 12 · 9 · Magic square missing values
12. In a magic square, every row adds up to 34. One row has 5, 13, and ____. What is the missing number?
34 · 5 · 13 · Magic square missing values

12 questions · Seed 104741 · 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 23. One row has 5, 16, and ____. What is the missing number?
2
Subtract 5 + 16 = 21 from 23: 23 − 21 = 2.
2. In a magic square, every row adds up to 19. One row has 7, 4, and ____. What is the missing number?
8
Subtract 7 + 4 = 11 from 19: 19 − 11 = 8.
3. In a magic square, every row adds up to 40. One row has 18, 8, and ____. What is the missing number?
14
Subtract 18 + 8 = 26 from 40: 40 − 26 = 14.
4. In a magic square, every row adds up to 31. One row has 8, 3, and ____. What is the missing number?
20
Subtract 8 + 3 = 11 from 31: 31 − 11 = 20.
5. In a magic square, every row adds up to 45. One row has 15, 20, and ____. What is the missing number?
10
Subtract 15 + 20 = 35 from 45: 45 − 35 = 10.
6. In a magic square, every row adds up to 29. One row has 14, 2, and ____. What is the missing number?
13
Subtract 14 + 2 = 16 from 29: 29 − 16 = 13.
7. In a magic square, every row adds up to 28. One row has 16, 2, and ____. What is the missing number?
10
Subtract 16 + 2 = 18 from 28: 28 − 18 = 10.
8. In a magic square, every row adds up to 28. One row has 6, 12, and ____. What is the missing number?
10
Subtract 6 + 12 = 18 from 28: 28 − 18 = 10.
9. In a magic square, every row adds up to 56. One row has 20, 20, and ____. What is the missing number?
16
Subtract 20 + 20 = 40 from 56: 56 − 40 = 16.
10. In a magic square, every row adds up to 34. One row has 12, 18, and ____. What is the missing number?
4
Subtract 12 + 18 = 30 from 34: 34 − 30 = 4.
11. In a magic square, every row adds up to 26. One row has 12, 9, and ____. What is the missing number?
5
Subtract 12 + 9 = 21 from 26: 26 − 21 = 5.
12. In a magic square, every row adds up to 34. One row has 5, 13, and ____. What is the missing number?
16
Subtract 5 + 13 = 18 from 34: 34 − 18 = 16.

12 questions · Seed 104741 · 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 23. One row has 5, 16, and ____. What is the missing number?
23 · 5 · 16 · Magic square missing values
2. In a magic square, every row adds up to 19. One row has 7, 4, and ____. What is the missing number?
19 · 7 · 4 · Magic square missing values
3. In a magic square, every row adds up to 40. One row has 18, 8, and ____. What is the missing number?
40 · 18 · 8 · Magic square missing values
4. In a magic square, every row adds up to 31. One row has 8, 3, and ____. What is the missing number?
31 · 8 · 3 · Magic square missing values
5. In a magic square, every row adds up to 45. One row has 15, 20, and ____. What is the missing number?
45 · 15 · 20 · Magic square missing values
6. In a magic square, every row adds up to 29. One row has 14, 2, and ____. What is the missing number?
29 · 14 · 2 · Magic square missing values
7. In a magic square, every row adds up to 28. One row has 16, 2, and ____. What is the missing number?
28 · 16 · 2 · Magic square missing values
8. In a magic square, every row adds up to 28. One row has 6, 12, and ____. What is the missing number?
28 · 6 · 12 · Magic square missing values
9. In a magic square, every row adds up to 56. One row has 20, 20, and ____. What is the missing number?
56 · 20 · 20 · Magic square missing values
10. In a magic square, every row adds up to 34. One row has 12, 18, and ____. What is the missing number?
34 · 12 · 18 · Magic square missing values
11. In a magic square, every row adds up to 26. One row has 12, 9, and ____. What is the missing number?
26 · 12 · 9 · Magic square missing values
12. In a magic square, every row adds up to 34. One row has 5, 13, and ____. What is the missing number?
34 · 5 · 13 · Magic square missing values

12 questions · Seed 104741 · 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 23. One row has 5, 16, and ____. What is the missing number?
2
Subtract 5 + 16 = 21 from 23: 23 − 21 = 2.
2. In a magic square, every row adds up to 19. One row has 7, 4, and ____. What is the missing number?
8
Subtract 7 + 4 = 11 from 19: 19 − 11 = 8.
3. In a magic square, every row adds up to 40. One row has 18, 8, and ____. What is the missing number?
14
Subtract 18 + 8 = 26 from 40: 40 − 26 = 14.
4. In a magic square, every row adds up to 31. One row has 8, 3, and ____. What is the missing number?
20
Subtract 8 + 3 = 11 from 31: 31 − 11 = 20.
5. In a magic square, every row adds up to 45. One row has 15, 20, and ____. What is the missing number?
10
Subtract 15 + 20 = 35 from 45: 45 − 35 = 10.
6. In a magic square, every row adds up to 29. One row has 14, 2, and ____. What is the missing number?
13
Subtract 14 + 2 = 16 from 29: 29 − 16 = 13.
7. In a magic square, every row adds up to 28. One row has 16, 2, and ____. What is the missing number?
10
Subtract 16 + 2 = 18 from 28: 28 − 18 = 10.
8. In a magic square, every row adds up to 28. One row has 6, 12, and ____. What is the missing number?
10
Subtract 6 + 12 = 18 from 28: 28 − 18 = 10.
9. In a magic square, every row adds up to 56. One row has 20, 20, and ____. What is the missing number?
16
Subtract 20 + 20 = 40 from 56: 56 − 40 = 16.
10. In a magic square, every row adds up to 34. One row has 12, 18, and ____. What is the missing number?
4
Subtract 12 + 18 = 30 from 34: 34 − 30 = 4.
11. In a magic square, every row adds up to 26. One row has 12, 9, and ____. What is the missing number?
5
Subtract 12 + 9 = 21 from 26: 26 − 21 = 5.
12. In a magic square, every row adds up to 34. One row has 5, 13, and ____. What is the missing number?
16
Subtract 5 + 13 = 18 from 34: 34 − 18 = 16.

12 questions · Seed 104741 · Age guidance, not curriculum certification