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Magic Square Puzzles with Answers

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

Answer key

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

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