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Magic Square Puzzles with Answers

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

Answer key

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

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