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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 171 · 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 9 × 17 + 10 ÷ 4?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 2 − 5 ÷ 17?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 14 − 10 + 8?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 17 + 16 − 4?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 12 ÷ 5 + 9?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 2 ÷ 7 − 8?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 4 + 19 × 6?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 17 × 9 ÷ 17?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 3 − 2 × 6?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 14 − 15 + 2?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 19 ÷ 19 − 3?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 14 + 2 × 14?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 11 − 17 ÷ 2?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 14 × 12 ÷ 11?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 4 − 8 + 3?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 14 × 11 + 17?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 4 ÷ 8 + 3?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 10 × 9 − 10?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 11 × 5 − 10?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 2 ÷ 2 + 20?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 20 + 18 × 9?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 8 ÷ 19 × 19?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 2 × 15 ÷ 7?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 20 + 9 ÷ 10?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 12 ÷ 5 − 2?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 8 ÷ 16 × 13?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 16 − 9 + 18?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 4 − 6 × 16?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 4 − 14 ÷ 10?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 2 − 6 ÷ 15?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 7 + 18 × 8?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 13 + 7 × 20?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 14 − 12 + 8?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 3 ÷ 2 + 9?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 3 + 5 − 15?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 17 × 18 ÷ 14?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 9 − 16 + 4?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 2 − 5 + 6?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 15 + 17 − 3?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 2 − 10 ÷ 20?

Answer key

  1. 175
  2. 42
  3. 86
  4. 70
  5. 104
  6. 33
  7. 82
  8. 162
  9. 18
  10. 293
  11. 155
  12. 82
  13. 213
  14. 195
  15. 32
  16. 50
  17. 40
  18. 82
  19. 57
  20. 0
  21. 1
  22. 96
  23. 9
  24. 281
  25. 11
  26. 123
  27. 151
  28. 2
  29. 50
  30. 18
  31. 124
  32. 91
  33. 31
  34. 6
  35. 12
  36. 237
  37. 142
  38. 29
  39. 103
  40. 218

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