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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 43 · 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 4 + 5 ÷ 6 × 3?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 5 + 7 ÷ 8?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 7 + 2 − 14?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 18 ÷ 16 − 18?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 15 × 5 + 2?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 2 + 2 × 8?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 9 ÷ 15 + 2?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 10 − 2 + 12?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 7 − 3 + 4?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 13 − 7 + 2?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 7 × 17 − 19?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 17 × 5 ÷ 11?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 4 × 4 ÷ 10?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 11 × 9 ÷ 11?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 19 − 15 ÷ 10?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 14 ÷ 11 + 14?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 2 × 12 ÷ 7?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 15 − 2 ÷ 6?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 9 − 9 ÷ 9?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 3 − 10 + 9?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 9 ÷ 11 + 5?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 10 × 15 + 6?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 2 + 18 ÷ 17?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 19 ÷ 7 × 9?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 3 − 6 + 10?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 6 × 15 ÷ 4?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 12 − 16 + 4?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 7 × 12 ÷ 16?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 4 − 5 × 20?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 3 − 8 + 7?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 11 ÷ 5 − 16?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 17 − 7 × 10?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 6 ÷ 11 − 4?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 16 × 7 ÷ 12?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 17 + 16 × 2?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 8 + 11 ÷ 4?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 13 + 15 × 3?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 2 + 12 × 3?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 4 ÷ 18 × 12?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 2 ÷ 15 − 16?

Answer key

  1. 23
  2. 36
  3. 12
  4. 146
  5. 4
  6. 25
  7. 136
  8. 13
  9. 25
  10. 93
  11. 331
  12. 57
  13. 20
  14. 53
  15. 385
  16. 156
  17. 29
  18. 13
  19. 23
  20. 90
  21. 141
  22. 4
  23. 37
  24. 59
  25. 64
  26. 67
  27. 190
  28. 115
  29. 17
  30. 58
  31. 77
  32. 218
  33. 55
  34. 85
  35. 18
  36. 88
  37. 20
  38. 99
  39. 58
  40. 240

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