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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 586 · 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 19 ÷ 6 + 3 × 10?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 14 × 7 + 2?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 6 ÷ 4 − 15?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 10 × 11 ÷ 13?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 3 ÷ 20 × 12?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 4 − 16 × 8?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 6 × 3 + 11?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 7 + 20 − 20?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 2 ÷ 6 + 15?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 3 ÷ 10 − 20?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 12 + 3 ÷ 8?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 12 − 18 ÷ 13?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 3 ÷ 8 − 5?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 9 × 8 − 5?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 16 ÷ 4 × 19?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 4 ÷ 3 − 9?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 6 − 16 + 4?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 18 + 6 − 2?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 20 × 13 − 13?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 16 × 9 ÷ 20?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 18 ÷ 15 − 16?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 10 − 11 ÷ 18?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 6 ÷ 13 − 5?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 3 × 3 + 6?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 12 × 4 − 10?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 18 × 3 − 3?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 13 × 18 + 9?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 8 × 6 + 2?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 20 + 20 − 16?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 6 + 2 ÷ 6?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 14 ÷ 12 − 5?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 20 − 4 ÷ 12?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 12 − 12 × 15?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 15 + 20 ÷ 14?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 2 ÷ 12 × 2?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 19 + 2 ÷ 5?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 20 ÷ 5 + 15?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 10 − 2 + 9?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 15 ÷ 18 − 6?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 5 × 4 ÷ 18?

Answer key

  1. 121
  2. 13
  3. 29
  4. 22
  5. 35
  6. 0
  7. 58
  8. 60
  9. 92
  10. 203
  11. 77
  12. 242
  13. 49
  14. 14
  15. 287
  16. 31
  17. 33
  18. 29
  19. 341
  20. 309
  21. 230
  22. 196
  23. 71
  24. 1
  25. 234
  26. 17
  27. 30
  28. 21
  29. 396
  30. 14
  31. 273
  32. 352
  33. 32
  34. 129
  35. 14
  36. 36
  37. 76
  38. 13
  39. 16
  40. 1

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