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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 141 · 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 4 × 5 − 9 ÷ 16?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 14 − 13 × 14?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 3 + 3 ÷ 3?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 6 ÷ 2 × 12?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 17 ÷ 12 + 4?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 5 ÷ 20 + 3?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 15 ÷ 8 × 13?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 9 + 3 × 6?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 × 2 ÷ 7 + 2?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 12 − 4 × 3?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 10 ÷ 4 + 3?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 14 × 3 − 3?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 15 − 15 ÷ 9?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 12 ÷ 16 + 20?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 17 × 2 ÷ 5?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 20 − 20 ÷ 17?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 14 − 7 ÷ 20?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 20 − 19 + 4?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 19 ÷ 9 + 3?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 3 − 16 × 12?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 17 + 17 ÷ 5?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 14 − 15 + 13?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 5 + 16 − 4?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 9 + 3 − 16?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 16 + 4 ÷ 19?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 18 − 19 × 5?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 3 + 9 ÷ 2?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 14 ÷ 9 + 18?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 15 × 6 + 3?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 18 + 20 × 9?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 2 − 2 × 17?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 2 ÷ 16 + 18?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 2 × 5 ÷ 12?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 18 − 5 + 11?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 12 ÷ 2 + 12?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 10 − 6 × 16?
  37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 4 + 13 − 14?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 9 + 3 × 19?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 6 × 6 − 12?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 15 + 11 × 18?

Answer key

  1. 143
  2. 31
  3. 22
  4. 13
  5. 58
  6. 37
  7. 160
  8. 165
  9. 7
  10. 20
  11. 47
  12. 251
  13. 21
  14. 185
  15. 2
  16. 329
  17. 183
  18. 114
  19. 27
  20. 13
  21. 8
  22. 193
  23. 53
  24. 61
  25. 81
  26. 339
  27. 37
  28. 128
  29. 4
  30. 18
  31. 29
  32. 6
  33. 13
  34. 61
  35. 50
  36. 190
  37. 66
  38. 19
  39. 73
  40. 217

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