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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 365 · 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 ÷ 6 × 10 + 2?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 5 ÷ 8 × 13?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 16 − 8 + 5?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 6 − 8 ÷ 6?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 17 × 16 + 6?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 12 × 15 ÷ 6?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 18 + 16 × 16?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 3 + 16 ÷ 18?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 6 − 5 × 4?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 9 × 10 + 9?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 16 + 15 − 5?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 4 × 2 + 18?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 19 × 6 + 9?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 6 − 11 × 7?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 3 − 11 + 3?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 12 + 6 − 3?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 2 ÷ 18 + 8?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 8 − 6 + 4?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 4 ÷ 18 × 6?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 12 + 5 × 3?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 11 ÷ 10 × 14?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 12 ÷ 6 × 7?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 5 − 20 ÷ 12?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 9 × 20 − 4?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 13 + 7 ÷ 3?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 20 + 10 × 2?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 9 × 7 ÷ 5?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 17 ÷ 7 × 11?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 2 × 2 + 16?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 6 ÷ 5 × 9?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 3 − 19 × 17?
  32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 2 − 9 ÷ 7?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 2 ÷ 7 × 6?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 18 + 6 ÷ 18?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 14 × 7 ÷ 20?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 8 + 20 ÷ 5?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 8 − 2 × 20?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 2 − 15 ÷ 16?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 15 − 5 × 5?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 19 ÷ 8 + 18?

Answer key

  1. 109
  2. 45
  3. 127
  4. 22
  5. 180
  6. 207
  7. 288
  8. 5
  9. 14
  10. 100
  11. 17
  12. 4
  13. 29
  14. 68
  15. 59
  16. 1
  17. 39
  18. 47
  19. 27
  20. 9
  21. 62
  22. 37
  23. 73
  24. 103
  25. 102
  26. 352
  27. 83
  28. 114
  29. 0
  30. 38
  31. 8
  32. 25
  33. 24
  34. 21
  35. 1
  36. 3
  37. 30
  38. 1
  39. 76
  40. 199

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