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Magic Square Puzzles with Answers

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

Answer key

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

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