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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 886 · 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 5 × 15 ÷ 5 + 4?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 19 × 10 − 6?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 2 ÷ 7 − 12?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 18 × 8 − 2?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 20 + 14 − 7?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 17 ÷ 7 × 11?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 19 ÷ 10 + 9?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 9 ÷ 16 + 5?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 7 ÷ 15 × 12?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 4 + 14 × 6?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 7 ÷ 19 + 17?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 16 × 15 + 16?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 5 − 2 ÷ 13?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 19 − 16 × 8?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 17 + 6 × 2?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 12 ÷ 4 − 13?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 12 ÷ 10 + 5?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 7 × 10 ÷ 9?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 7 ÷ 18 + 3?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 20 − 16 + 4?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 20 + 15 − 3?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 9 ÷ 19 + 14?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 6 + 11 ÷ 14?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 4 − 5 + 3?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 20 ÷ 14 × 7?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 4 + 16 − 20?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 3 ÷ 12 − 3?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 3 ÷ 14 − 10?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 10 + 15 − 3?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 14 ÷ 8 + 4?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 6 − 16 ÷ 20?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 20 − 18 ÷ 10?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 17 × 10 − 13?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 15 + 3 − 14?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 18 ÷ 13 − 3?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 9 + 14 − 9?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 20 ÷ 7 × 6?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 17 − 10 × 14?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 12 ÷ 5 − 16?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 16 + 17 × 2?

Answer key

  1. 0
  2. 44
  3. 96
  4. 25
  5. 60
  6. 242
  7. 198
  8. 80
  9. 94
  10. 76
  11. 129
  12. 233
  13. 12
  14. 44
  15. 251
  16. 55
  17. 1
  18. 64
  19. 55
  20. 332
  21. 95
  22. 24
  23. 70
  24. 42
  25. 127
  26. 36
  27. 6
  28. 26
  29. 15
  30. 116
  31. 323
  32. 171
  33. 326
  34. 206
  35. 34
  36. 17
  37. 281
  38. 3
  39. 84
  40. 144

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