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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 502 · 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 20 + 10 − 10 × 15?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 10 ÷ 13 − 17?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 9 ÷ 8 + 20?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 2 × 20 ÷ 3?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 9 − 3 × 14?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 18 ÷ 8 − 4?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 8 ÷ 14 + 2?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 19 + 16 − 8?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 8 − 9 + 11?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 18 − 14 + 11?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 3 ÷ 12 + 2?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 4 + 18 ÷ 12?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 11 + 11 − 3?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 4 + 10 × 6?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 2 ÷ 20 × 20?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 20 ÷ 4 + 17?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 8 + 13 × 7?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 7 × 14 + 14?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 5 − 6 ÷ 12?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 18 ÷ 4 + 8?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 17 ÷ 12 × 14?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 × 2 + 2?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 16 − 16 ÷ 6?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 8 − 10 × 2?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 7 − 7 × 20 ÷ 8?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 16 ÷ 13 × 5?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 17 ÷ 4 + 8?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 15 × 9 ÷ 8?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 9 ÷ 2 − 15?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 8 − 5 × 8?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 4 − 5 × 20?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 6 + 4 ÷ 10?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 6 − 18 ÷ 15?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 20 − 20 + 2?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 5 ÷ 17 + 4?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 8 × 3 ÷ 5?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 5 − 3 ÷ 13?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 20 ÷ 8 + 8?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 9 × 16 + 10?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 9 × 8 − 8?

Answer key

  1. 35
  2. 84
  3. 157
  4. 49
  5. 26
  6. 25
  7. 112
  8. 264
  9. 72
  10. 165
  11. 18
  12. 64
  13. 17
  14. 47
  15. 7
  16. 287
  17. 114
  18. 132
  19. 36
  20. 69
  21. 257
  22. 1
  23. 13
  24. 77
  25. 13
  26. 168
  27. 27
  28. 63
  29. 36
  30. 7
  31. 6
  32. 114
  33. 45
  34. 70
  35. 97
  36. 18
  37. 12
  38. 165
  39. 105
  40. 57

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