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Magic Square Puzzles with Answers

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

Answer key

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

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