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Magic Square Puzzles with Answers

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

Answer key

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

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