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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 62 · 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): 16 ? 10 | 13 19 25 | 28 7 22. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 23 13 15 | 9 17 ? | 19 21 11. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 11 ? 9 | 6 8 10 | 7 12 5. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): ? 11 6 | 5 9 13 | 12 7 8. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 8 ? 6 | 7 9 11 | 12 5 10. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): ? 15 30 | 33 21 9 | 12 27 24. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 17 15 25 | 27 19 11 | 13 23 ?. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 20 5 26 | 23 17 11 | 8 ? 14. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 11 16 9 | 10 12 14 | 15 8 ?. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): ? 10 25 | 16 22 28 | 19 34 13. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 16 14 24 | 26 18 ? | 12 22 20. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 12 27 24 | ? 21 9 | 18 15 30. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 5 12 7 | 10 8 6 | 9 ? 11. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 9 4 11 | 10 8 6 | ? 12 7. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 9 8 ? | 14 10 6 | 7 12 11. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 21 18 ? | 36 24 12 | 15 30 27. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 20 6 16 | ? 14 18 | 12 22 8. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 26 29 ? | 11 23 35 | 32 17 20. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 9 7 17 | 19 11 3 | 5 ? 13. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): ? 5 26 | 23 17 11 | 8 29 14. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): ? 13 28 | 31 19 7 | 10 25 22. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 2 9 4 | 7 5 3 | 6 ? 8. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 8 23 20 | ? 17 5 | 14 11 26. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 15 5 19 | 17 13 ? | 7 21 11. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): ? 9 10 | 7 11 15 | 12 13 8. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 25 4 19 | 10 16 ? | 13 28 7. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 13 ? 17 | 18 14 10 | 11 16 15. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 28 7 22 | 13 19 25 | 16 31 ?. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 8 6 16 | ? 10 2 | 4 14 12. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 4 9 8 | 11 7 3 | 6 5 ?. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 9 ? 17 | 23 15 7 | 13 11 21. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 20 10 24 | 22 18 14 | ? 26 16. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 5 10 3 | 4 6 ? | 9 2 7. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): ? 3 17 | 15 11 7 | 5 19 9. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 26 5 20 | 11 17 23 | 14 ? 8. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): ? 15 25 | 27 19 11 | 13 23 21. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): ? 24 9 | 6 18 30 | 27 12 15. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 18 15 30 | 33 21 ? | 12 27 24. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 9 4 11 | 10 8 ? | 5 12 7. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 8 3 4 | 1 5 9 | 6 7 ?. What is the missing number?

Answer key

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

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