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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 309 · 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 10 − 11 + 10 ÷ 2?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 6 − 20 ÷ 6?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 4 × 11 ÷ 18?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 18 − 2 × 4?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 16 − 4 ÷ 17?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 18 × 2 − 4?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 20 − 18 + 2?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 14 + 20 × 5?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 7 × 11 ÷ 4?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 12 × 10 − 2?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 12 × 5 − 17?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 14 + 7 × 15?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 17 × 6 + 2?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 10 × 8 ÷ 16?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 × 12 − 10?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 6 + 2 ÷ 15?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 14 + 5 × 18?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 × 3 − 12 ÷ 5?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 12 ÷ 2 × 7?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 4 ÷ 17 + 9?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 12 − 4 × 4?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 16 ÷ 6 − 2?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 5 − 15 × 11?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 6 + 18 × 19?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 16 × 2 ÷ 6?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 17 − 9 + 6?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 16 × 3 − 19?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 8 ÷ 3 − 5?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 3 × 3 ÷ 7?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 16 ÷ 19 + 8?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 9 ÷ 5 × 13?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 13 + 12 − 3?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 19 + 2 ÷ 20?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 9 − 4 + 3?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 16 ÷ 11 × 3?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 3 − 5 ÷ 3?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 15 + 8 × 14?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 8 ÷ 12 + 10?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 18 ÷ 4 × 11?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 20 ÷ 12 + 7?

Answer key

  1. 13
  2. 125
  3. 206
  4. 95
  5. 58
  6. 7
  7. 96
  8. 139
  9. 91
  10. 41
  11. 65
  12. 9
  13. 2
  14. 62
  15. 122
  16. 33
  17. 167
  18. 61
  19. 127
  20. 69
  21. 40
  22. 68
  23. 15
  24. 91
  25. 212
  26. 241
  27. 44
  28. 154
  29. 43
  30. 300
  31. 170
  32. 126
  33. 398
  34. 42
  35. 14
  36. 22
  37. 109
  38. 154
  39. 115
  40. 245

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