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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 850 · 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 + 8 − 5 ÷ 17?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 3 + 8 × 2?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 20 × 2 ÷ 5?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 13 ÷ 19 + 14?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 2 ÷ 5 × 2?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 19 × 13 ÷ 15?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 2 ÷ 20 + 8?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 3 ÷ 20 − 3?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 6 ÷ 2 + 10?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 10 ÷ 7 × 7?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 19 + 9 ÷ 4?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 19 + 20 ÷ 14?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 3 ÷ 14 × 4?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 11 + 2 × 4?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 16 × 20 ÷ 12?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 18 × 17 ÷ 12?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 17 − 20 × 2?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 6 ÷ 15 × 11?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 4 + 19 × 19?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 18 + 7 − 8?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 16 − 2 × 7?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 6 × 6 ÷ 5?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 6 × 4 ÷ 18?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 18 ÷ 15 + 15?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 17 + 6 ÷ 18?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 5 ÷ 13 + 15?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 18 + 6 ÷ 10?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 × 5 ÷ 12 − 2?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 12 ÷ 14 × 13?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 10 + 5 ÷ 11?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 19 ÷ 5 + 2?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 14 × 17 + 10?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 13 ÷ 5 − 2?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 6 − 16 × 13?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 20 × 14 + 11?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 4 × 18 + 14?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 4 − 8 × 6?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 7 + 9 × 5?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 11 + 20 − 17?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 20 − 20 + 8?

Answer key

  1. 68
  2. 32
  3. 14
  4. 135
  5. 6
  6. 184
  7. 165
  8. 37
  9. 40
  10. 110
  11. 23
  12. 382
  13. 38
  14. 73
  15. 296
  16. 149
  17. 344
  18. 110
  19. 68
  20. 343
  21. 143
  22. 77
  23. 36
  24. 324
  25. 148
  26. 78
  27. 9
  28. 25
  29. 143
  30. 11
  31. 326
  32. 4
  33. 88
  34. 35
  35. 151
  36. 72
  37. 44
  38. 24
  39. 19
  40. 312

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