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Magic Square Puzzles with Answers

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

Answer key

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

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