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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 85 · 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 ÷ 10 − 2 × 5?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 10 ÷ 15 × 5?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 7 + 13 × 5?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 18 ÷ 15 × 14?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 14 × 13 ÷ 4?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 19 × 2 ÷ 7?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 14 − 7 × 14?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 10 × 2 − 4?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 11 + 9 × 5?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 ÷ 7 − 4?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 4 ÷ 20 × 4?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 8 × 5 + 5?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 17 − 15 × 12?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 6 ÷ 12 × 17?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 11 + 11 × 4 − 7?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 9 − 3 × 10?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 20 × 3 − 16?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 8 × 3 − 11?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 16 ÷ 15 + 7?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 17 − 3 ÷ 20?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 2 ÷ 10 − 5?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 15 × 3 + 5?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 10 − 9 + 10?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 16 × 2 − 20?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 13 × 18 + 6?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 18 + 7 − 4?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 18 + 18 ÷ 9?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 20 × 2 ÷ 18?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 5 × 18 ÷ 13?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 11 ÷ 11 × 5?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 16 + 11 × 7?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 19 × 10 ÷ 9?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 3 ÷ 12 × 18?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 6 + 7 − 19?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 2 ÷ 7 × 7?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 20 ÷ 19 − 11?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 2 × 12 + 9?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 6 × 4 + 18?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 14 + 10 ÷ 14?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 17 × 10 − 2?

Answer key

  1. 187
  2. 100
  3. 95
  4. 217
  5. 75
  6. 145
  7. 28
  8. 162
  9. 6
  10. 31
  11. 28
  12. 39
  13. 251
  14. 65
  15. 29
  16. 55
  17. 43
  18. 32
  19. 136
  20. 37
  21. 54
  22. 35
  23. 25
  24. 31
  25. 18
  26. 1
  27. 99
  28. 38
  29. 50
  30. 16
  31. 172
  32. 85
  33. 19
  34. 114
  35. 16
  36. 172
  37. 112
  38. 22
  39. 172
  40. 345

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