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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 193 · 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 − 12 + 3 × 2?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 5 + 2 ÷ 20?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 6 − 2 × 2?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 11 + 14 ÷ 9?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 18 − 2 × 18?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 18 ÷ 14 × 20?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 6 − 16 ÷ 15?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 16 ÷ 5 × 3?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 3 + 18 ÷ 3?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 7 − 17 + 7?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 8 ÷ 14 × 17?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 15 + 5 ÷ 11?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 4 ÷ 8 × 10?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 12 × 7 + 18?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 14 × 16 − 12?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 10 − 2 ÷ 19?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 2 ÷ 18 + 3?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 14 × 4 − 2?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 9 − 4 + 8?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 18 − 20 + 3?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 5 − 4 × 16?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 3 − 9 + 3?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 5 ÷ 4 + 17?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 15 − 3 × 14?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 17 + 12 ÷ 19?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 2 × 11 ÷ 12?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 2 × 2 + 12?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 5 × 2 + 6?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 17 × 20 ÷ 6?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 ÷ 19 × 9?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 20 ÷ 17 + 14?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 5 ÷ 17 − 4?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 7 × 4 + 4?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 6 ÷ 4 × 12?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 8 × 4 − 5?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 11 − 8 × 11?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 16 ÷ 18 − 9?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 3 − 8 ÷ 15?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 2 − 2 ÷ 7?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 16 − 14 ÷ 2?

Answer key

  1. 6
  2. 10
  3. 4
  4. 50
  5. 153
  6. 246
  7. 237
  8. 90
  9. 54
  10. 36
  11. 101
  12. 96
  13. 10
  14. 125
  15. 19
  16. 31
  17. 21
  18. 282
  19. 19
  20. 128
  21. 41
  22. 41
  23. 67
  24. 18
  25. 203
  26. 31
  27. 4
  28. 16
  29. 117
  30. 14
  31. 340
  32. 69
  33. 6
  34. 14
  35. 1
  36. 217
  37. 66
  38. 8
  39. 15
  40. 242

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