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Magic Square Puzzles with Answers

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

Answer key

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

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