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Magic Square Puzzles with Answers

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

Answer key

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

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