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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 94 · 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 17 ÷ 12 + 9 × 5?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 4 − 13 ÷ 15?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 16 × 18 + 3?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 4 × 2 + 3?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 12 ÷ 7 − 13?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 15 + 19 × 5?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 9 − 8 × 9?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 10 ÷ 7 × 6?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 2 ÷ 16 + 6?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 20 + 6 ÷ 7?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 18 ÷ 10 − 7?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 14 − 12 ÷ 14?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 8 × 13 − 10?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 2 − 8 ÷ 18?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 15 − 6 × 5?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 15 × 17 + 15?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 6 − 19 ÷ 19?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 11 ÷ 7 + 17?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 4 + 2 × 10?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 7 ÷ 15 − 3?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 4 − 2 × 20?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 16 ÷ 16 − 16?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 11 × 10 + 2?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 10 − 8 + 2?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 2 − 13 × 19?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 9 + 5 − 19?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 6 × 14 ÷ 3?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 19 − 4 × 11?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 7 ÷ 12 × 3?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 20 − 8 × 17?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 18 + 12 × 5?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 5 − 19 ÷ 3?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 10 + 8 × 7?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 11 − 2 ÷ 15?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 8 × 16 ÷ 6?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 7 − 4 × 7?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 13 − 3 × 18?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 13 × 5 ÷ 5?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 6 ÷ 15 × 14?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 3 × 15 ÷ 13?

Answer key

  1. 200
  2. 53
  3. 27
  4. 11
  5. 85
  6. 121
  7. 18
  8. 21
  9. 45
  10. 128
  11. 60
  12. 168
  13. 142
  14. 10
  15. 11
  16. 242
  17. 370
  18. 69
  19. 18
  20. 86
  21. 38
  22. 257
  23. 11
  24. 136
  25. 97
  26. 95
  27. 29
  28. 316
  29. 6
  30. 23
  31. 47
  32. 61
  33. 83
  34. 37
  35. 6
  36. 12
  37. 24
  38. 21
  39. 41
  40. 23

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