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Magic Square Puzzles with Answers

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

Answer key

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

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