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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 694 · 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 2 + 3 ÷ 3 × 14?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 10 + 5 × 9?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 7 + 3 ÷ 15?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 17 × 17 ÷ 20?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 9 × 8 ÷ 7?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 8 − 2 ÷ 6?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 10 ÷ 13 + 15?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 17 − 3 ÷ 12?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 13 + 13 − 4?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 15 ÷ 11 × 19?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 10 + 5 ÷ 5?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 4 − 3 ÷ 15?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 2 − 5 ÷ 6?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 3 − 16 + 3?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 18 + 9 − 17?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 4 + 10 ÷ 12?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 19 − 2 + 17?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 3 ÷ 11 − 10?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 7 ÷ 8 + 10?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 18 + 14 ÷ 17?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 9 × 16 − 2?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 5 × 5 − 15?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 5 × 5 ÷ 7?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 5 × 19 ÷ 19?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 16 + 8 ÷ 8?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 17 − 17 × 4?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 × 12 − 3?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 13 × 4 − 2?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 5 + 5 − 5 ÷ 3?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 3 ÷ 3 × 16?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 4 − 4 ÷ 13?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 4 + 13 ÷ 5?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 − 15 ÷ 3?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 8 + 9 ÷ 2?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 17 × 11 − 13?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 7 × 20 ÷ 2?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 2 × 12 ÷ 19?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 3 + 3 × 4 − 18?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 3 − 11 + 20?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 14 ÷ 12 − 16?

Answer key

  1. 7
  2. 26
  3. 17
  4. 35
  5. 71
  6. 74
  7. 118
  8. 63
  9. 9
  10. 293
  11. 50
  12. 22
  13. 24
  14. 67
  15. 38
  16. 18
  17. 21
  18. 114
  19. 65
  20. 255
  21. 3
  22. 29
  23. 82
  24. 55
  25. 160
  26. 16
  27. 40
  28. 24
  29. 2
  30. 64
  31. 3
  32. 70
  33. 57
  34. 81
  35. 274
  36. 108
  37. 242
  38. 73
  39. 6
  40. 256

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