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Magic Square Puzzles with Answers

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

Answer key

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

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