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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 126 · 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 × 6 ÷ 4 − 6?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 8 − 10 + 2?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 20 ÷ 6 − 10?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 16 ÷ 17 + 2?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 15 − 3 + 9?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 18 + 2 × 17?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 10 ÷ 19 + 9?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 2 + 7 × 11?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 2 − 6 + 6?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 13 + 4 ÷ 16?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 5 + 20 × 2?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 18 × 4 ÷ 5?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 9 − 10 + 4?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 7 ÷ 9 × 7?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 2 − 7 ÷ 14?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 15 × 15 + 5?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 3 − 14 ÷ 12?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 13 − 10 × 10?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 17 + 20 × 12?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 10 × 10 − 19?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 4 − 12 + 4?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 20 − 12 + 2?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 14 + 11 − 11?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 16 + 14 × 13?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 14 − 2 × 4?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 × 7 − 12 ÷ 5?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 17 + 10 ÷ 10?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 14 × 8 ÷ 20?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 17 ÷ 12 × 13?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 5 × 16 ÷ 5?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 7 × 13 + 19?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 9 − 6 ÷ 3?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 3 × 19 − 5?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 2 − 3 ÷ 4?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 5 + 18 × 18?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 7 − 17 + 2?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 13 + 12 ÷ 7?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 19 − 6 ÷ 12?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 18 × 13 − 15?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 3 − 16 × 20?

Answer key

  1. 9
  2. 88
  3. 57
  4. 155
  5. 20
  6. 179
  7. 199
  8. 22
  9. 6
  10. 45
  11. 7
  12. 17
  13. 93
  14. 82
  15. 20
  16. 14
  17. 185
  18. 170
  19. 332
  20. 30
  21. 11
  22. 126
  23. 224
  24. 79
  25. 8
  26. 8
  27. 51
  28. 156
  29. 101
  30. 74
  31. 99
  32. 21
  33. 105
  34. 29
  35. 74
  36. 50
  37. 162
  38. 241
  39. 197
  40. 44

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