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Magic Square Puzzles with Answers

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

Answer key

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

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