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Magic Square Puzzles with Answers

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

Answer key

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

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