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Magic Square Puzzles with Answers

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

Answer key

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

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