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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 3 · 40 questions
TalentJR

The trick (Same total): Add up a row (or column) that has no gap: that is the magic total. Add the numbers you can see in the line with the gap. Missing number = magic total − that sum.

NameDateTime takenScore ___ / 40
  1. 1.Magic square (every row, column and diagonal has the same total): ? 10 3 | 4 6 8 | 9 2 7. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 9 23 13 | 19 15 11 | 17 7 ?. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 13 11 21 | ? 15 7 | 9 19 17. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 13 27 17 | 23 ? 15 | 21 11 25. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 24 14 ? | 10 18 26 | 20 22 12. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 13 23 9 | 11 15 19 | 21 7 ?. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 12 27 24 | 33 21 9 | ? 15 30. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 17 ? 9 | 7 15 23 | 21 11 13. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 4 18 8 | 14 10 6 | ? 2 16. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 17 15 25 | ? 19 11 | 13 23 21. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 20 23 8 | 5 17 29 | 26 11 ?. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 28 13 16 | ? 19 31 | 22 25 10. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 21 36 15 | 18 24 30 | ? 12 27. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 9 2 ? | 4 6 8 | 5 10 3. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 6 7 2 | 1 5 ? | 8 3 4. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 11 ? 15 | 21 17 13 | 19 9 23. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 14 16 6 | ? 12 20 | 18 8 10. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): ? 10 15 | 16 12 8 | 9 14 13. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 9 14 13 | 16 12 8 | ? 10 15. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): ? 7 17 | 19 11 3 | 5 15 13. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 4 18 8 | ? 10 6 | 12 2 16. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 23 8 29 | ? 20 14 | 11 32 17. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 10 31 16 | 25 19 13 | 22 ? 28. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 26 ? 14 | 5 17 29 | 20 23 8. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 7 28 13 | ? 16 10 | 19 4 25. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 6 20 10 | 16 12 8 | ? 4 18. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 12 10 ? | 22 14 6 | 8 18 16. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 10 24 14 | 20 16 12 | 18 8 ?. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 22 12 14 | 8 16 ? | 18 20 10. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 25 28 13 | 10 ? 34 | 31 16 19. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 13 8 15 | 14 12 10 | ? 16 11. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 18 ? 6 | 3 15 27 | 24 9 12. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 17 7 21 | 19 15 11 | ? 23 13. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 7 21 11 | ? 13 9 | 15 5 19. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 19 21 11 | ? 17 25 | 23 13 15. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 12 11 16 | 17 13 9 | ? 15 14. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 20 10 24 | 22 18 14 | 12 ? 16. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 21 36 15 | 18 24 30 | 33 12 ?. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 16 18 8 | 6 14 22 | 20 10 ?. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): ? 16 11 | 14 12 10 | 13 8 15. What is the missing number?

Answer key

  1. 5
  2. 21
  3. 23
  4. 19
  5. 16
  6. 17
  7. 18
  8. 19
  9. 12
  10. 27
  11. 14
  12. 7
  13. 33
  14. 7
  15. 9
  16. 25
  17. 4
  18. 11
  19. 11
  20. 9
  21. 14
  22. 26
  23. 7
  24. 11
  25. 22
  26. 14
  27. 20
  28. 22
  29. 24
  30. 22
  31. 9
  32. 21
  33. 9
  34. 17
  35. 9
  36. 10
  37. 26
  38. 27
  39. 12
  40. 9

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