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Magic Square Puzzles with Answers

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

Answer key

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

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