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Magic Square Puzzles with Answers

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

Answer key

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

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