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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 283 · 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 20 − 18 × 18 ÷ 11?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 6 − 3 + 5?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 18 − 2 + 2?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 6 + 16 ÷ 12?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 9 + 2 − 13?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 17 − 17 × 7?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 20 ÷ 16 × 15?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 11 − 13 × 13?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 14 ÷ 6 × 6?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 7 ÷ 15 − 5?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 19 + 16 − 12?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 20 − 2 × 16?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 6 − 10 × 15?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 20 ÷ 14 + 6?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 2 + 6 ÷ 14?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 7 × 14 + 20?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 20 × 2 ÷ 10?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 17 + 14 ÷ 9?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 8 − 7 + 13?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 5 ÷ 5 × 14?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 16 × 13 ÷ 9?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 20 + 18 − 3?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 10 ÷ 3 − 10?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 6 × 14 − 7?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 × 3 + 8 − 17?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 3 + 6 − 3?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 3 + 12 − 2?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 17 × 10 + 2?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 13 + 3 ÷ 14?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 10 ÷ 7 × 18?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 3 + 12 × 12?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 2 × 16 − 10?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 7 − 11 ÷ 3?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 11 − 13 ÷ 19?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 2 × 8 + 2?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 17 − 2 × 18?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 11 × 7 + 15?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 19 × 2 − 15?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 6 − 20 × 3?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 11 × 3 ÷ 2?

Answer key

  1. 31
  2. 29
  3. 48
  4. 92
  5. 7
  6. 20
  7. 59
  8. 8
  9. 33
  10. 88
  11. 281
  12. 136
  13. 18
  14. 78
  15. 10
  16. 282
  17. 4
  18. 26
  19. 146
  20. 49
  21. 236
  22. 334
  23. 27
  24. 20
  25. 10
  26. 15
  27. 21
  28. 294
  29. 40
  30. 101
  31. 72
  32. 165
  33. 31
  34. 242
  35. 0
  36. 324
  37. 190
  38. 108
  39. 95
  40. 98

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