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Magic Square Puzzles with Answers

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

Answer key

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

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