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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 299 · 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 11 ÷ 15 × 3 − 3?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 5 − 20 × 6?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 19 × 19 − 11?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 2 × 6 + 2?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 2 ÷ 13 + 16?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 9 ÷ 2 × 2?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 6 + 13 × 10?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 18 × 10 − 14?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 2 ÷ 11 − 20?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 15 + 4 × 3?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 4 × 12 ÷ 16?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 2 ÷ 13 − 13?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 11 × 4 ÷ 7?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 8 − 5 ÷ 7?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 14 + 2 − 9?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 7 × 18 ÷ 6?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 7 × 5 + 9?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 9 − 20 + 9?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 4 ÷ 12 × 3?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 18 − 6 ÷ 20?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 7 − 12 + 13?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 3 + 9 ÷ 4?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 19 ÷ 20 − 18?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 15 × 2 ÷ 13?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 18 ÷ 10 × 2?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 7 + 7 ÷ 11?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 20 − 17 ÷ 12?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 8 − 9 + 8?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 9 × 10 ÷ 9?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 3 − 3 + 12 × 2?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 9 + 17 × 2?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 4 ÷ 20 × 12?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 18 + 20 ÷ 9?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 4 ÷ 19 × 4?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 8 − 10 ÷ 6?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 9 × 3 ÷ 5?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 2 × 10 − 12?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 6 + 3 ÷ 18?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 3 − 12 × 17?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 20 ÷ 8 + 4?

Answer key

  1. 166
  2. 113
  3. 29
  4. 13
  5. 35
  6. 143
  7. 29
  8. 202
  9. 223
  10. 269
  11. 68
  12. 15
  13. 74
  14. 126
  15. 15
  16. 40
  17. 136
  18. 24
  19. 29
  20. 328
  21. 83
  22. 29
  23. 347
  24. 71
  25. 62
  26. 53
  27. 189
  28. 28
  29. 109
  30. 10
  31. 164
  32. 112
  33. 362
  34. 95
  35. 10
  36. 5
  37. 5
  38. 9
  39. 1
  40. 29

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