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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 760 · 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 6 − 15 × 2 ÷ 12?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 14 ÷ 15 + 4?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 20 + 12 − 9?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 6 − 6 + 11?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 6 + 20 ÷ 20?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 2 × 12 ÷ 14?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 3 + 2 ÷ 6?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 4 × 3 ÷ 16?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 13 − 13 × 9?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 2 × 2 − 6?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 6 × 16 − 5?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 5 + 6 ÷ 16?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 14 × 7 ÷ 13?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 4 × 4 ÷ 13?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 20 ÷ 16 + 11?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 9 ÷ 15 + 19?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 7 × 4 ÷ 2?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 8 ÷ 16 + 18?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 14 − 14 × 13?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 11 ÷ 17 − 2?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 + 12 ÷ 5?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 19 − 12 + 3?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 13 − 20 + 10?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 20 + 20 ÷ 3?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 16 ÷ 19 × 6?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 4 − 6 + 11?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 3 × 13 + 11?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 11 + 5 × 9?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 14 ÷ 6 − 15?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 16 ÷ 14 + 2?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 15 + 5 ÷ 6?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 20 ÷ 16 × 15?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 18 × 3 − 15?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 16 ÷ 4 − 14?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 ÷ 17 × 15?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 9 − 10 + 10?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 12 ÷ 20 × 10?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 16 × 4 − 5?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 18 ÷ 13 − 9?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 11 × 11 ÷ 4?

Answer key

  1. 80
  2. 61
  3. 357
  4. 66
  5. 20
  6. 0
  7. 15
  8. 77
  9. 28
  10. 20
  11. 93
  12. 90
  13. 134
  14. 14
  15. 345
  16. 122
  17. 4
  18. 285
  19. 16
  20. 29
  21. 17
  22. 93
  23. 263
  24. 15
  25. 19
  26. 1
  27. 4
  28. 20
  29. 83
  30. 12
  31. 3
  32. 81
  33. 36
  34. 330
  35. 7
  36. 97
  37. 74
  38. 1
  39. 30
  40. 81

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