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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 42 · 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 15 10 | 9 13 ? | 16 11 12. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 5 4 9 | 10 6 2 | 3 ? 7. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 18 4 14 | 8 12 16 | ? 20 6. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 15 12 27 | ? 18 6 | 9 24 21. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 20 22 12 | ? 18 26 | 24 14 16. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 16 6 8 | 2 10 ? | 12 14 4. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): ? 12 17 | 18 14 10 | 11 16 15. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 7 17 ? | 21 13 5 | 11 9 19. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 9 10 5 | 4 8 12 | ? 6 7. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 5 4 9 | 10 6 2 | 3 8 ?. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 7 2 9 | 8 6 4 | 3 ? 5. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 8 3 ? | 9 7 5 | 4 11 6. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 8 6 ? | 18 10 2 | 4 14 12. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 10 24 14 | 20 16 ? | 18 8 22. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 32 17 20 | 11 23 35 | 26 ? 14. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 15 12 27 | 30 18 6 | 9 ? 21. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): ? 8 3 | 2 6 10 | 9 4 5. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 19 4 25 | 22 ? 10 | 7 28 13. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 13 15 5 | ? 11 19 | 17 7 9. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): ? 6 7 | 4 8 12 | 9 10 5. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 21 24 9 | 6 18 30 | 27 ? 15. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 22 12 ? | 8 16 24 | 18 20 10. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 9 16 11 | 14 12 10 | 13 ? 15. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): ? 26 23 | 32 20 8 | 17 14 29. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 12 7 8 | 5 9 13 | 10 ? 6. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 14 12 ? | 24 16 8 | 10 20 18. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 13 34 19 | 28 22 16 | ? 10 31. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 19 4 ? | 22 16 10 | 7 28 13. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 21 23 13 | 11 19 27 | 25 ? 17. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 16 14 24 | ? 18 10 | 12 22 20. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 20 ? 14 | 17 23 29 | 32 11 26. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 14 7 ? | 9 11 13 | 10 15 8. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 10 15 14 | 17 13 9 | 12 11 ?. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 13 ? 25 | 28 16 4 | 7 22 19. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 5 4 ? | 10 6 2 | 3 8 7. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 16 14 ? | 26 18 10 | 12 22 20. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 6 ? 8 | 11 9 7 | 10 5 12. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 10 8 ? | 20 12 4 | 6 16 14. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): ? 1 6 | 3 5 7 | 4 9 2. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 27 ? 33 | 30 24 18 | 15 36 21. What is the missing number?

Answer key

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

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