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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 409 · 40 questions
TalentJR

How to think it through (Swap, then BODMAS): Rewrite the sum, swapping every sign for what it means. BODMAS: do × and ÷ first, from left to right. Then do + and −, from left to right.

NameDateTime takenScore ___ / 40
  1. 1.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 18 − 2 + 2?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 4 + 13 ÷ 18?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 19 + 18 ÷ 17?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 3 ÷ 15 − 9?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 3 − 15 + 2?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 10 ÷ 16 + 17?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 3 + 19 − 12?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 20 + 2 ÷ 9?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 6 ÷ 20 + 2?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 17 ÷ 18 × 16?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 13 × 14 + 12?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 16 ÷ 12 + 3?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 10 − 5 + 13?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 14 + 7 ÷ 14?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 5 − 2 × 2?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 15 − 14 ÷ 9?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 13 − 20 + 20?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 17 + 6 − 3?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 4 ÷ 14 − 15?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 4 × 2 ÷ 3?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 18 + 13 × 5?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 8 − 9 ÷ 19?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 11 − 4 + 5?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 4 ÷ 11 − 7?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 9 − 9 ÷ 8?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 10 − 2 ÷ 18?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 5 + 5 ÷ 7?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 15 − 6 + 17?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 12 − 12 × 12?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 7 ÷ 16 + 4?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 8 × 12 − 2?
  32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 12 × 11 ÷ 6?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 11 ÷ 3 − 6?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 16 − 9 × 18?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 13 + 6 ÷ 3?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 11 × 4 + 2?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 20 − 7 + 13?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 8 × 12 ÷ 17?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 5 + 9 ÷ 6?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 4 − 5 ÷ 5?

Answer key

  1. 343
  2. 69
  3. 208
  4. 134
  5. 53
  6. 148
  7. 32
  8. 18
  9. 9
  10. 299
  11. 28
  12. 32
  13. 7
  14. 7
  15. 61
  16. 110
  17. 22
  18. 11
  19. 21
  20. 26
  21. 13
  22. 173
  23. 46
  24. 87
  25. 11
  26. 42
  27. 11
  28. 91
  29. 140
  30. 60
  31. 0
  32. 235
  33. 11
  34. 128
  35. 179
  36. 145
  37. 136
  38. 11
  39. 57
  40. 10

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