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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 551 · 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 15 × 8 ÷ 5 − 10?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 12 + 13 − 2?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 3 ÷ 7 + 8?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 16 ÷ 10 − 5?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 5 + 8 − 10?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 14 × 2 + 11?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 17 × 16 ÷ 13?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 14 − 4 ÷ 3?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 20 × 20 ÷ 12?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 16 ÷ 5 × 3?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 19 × 9 ÷ 2?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 18 − 8 × 16?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 13 + 19 × 19?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 7 ÷ 14 + 14?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 4 + 13 ÷ 6?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 20 − 16 × 3?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 14 − 2 + 2?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 19 ÷ 12 × 5?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 3 − 10 + 20?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 5 + 5 − 9 × 10?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 2 × 5 ÷ 2?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 17 − 12 × 13?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 17 × 16 + 11?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 20 + 14 − 14?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 6 ÷ 8 × 13?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 2 ÷ 10 − 13?
  27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 17 − 9 ÷ 4?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 6 − 11 ÷ 7?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 ÷ 13 − 14?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 4 × 4 ÷ 10?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 6 × 4 ÷ 20?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 11 × 4 + 4?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 + 3 ÷ 4?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 2 ÷ 10 − 13?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 2 + 16 − 4?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 17 × 7 ÷ 14?
  37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 19 − 9 ÷ 8?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 2 ÷ 9 × 3?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 12 − 2 + 12?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 6 ÷ 4 + 2?

Answer key

  1. 57
  2. 87
  3. 4
  4. 39
  5. 6
  6. 79
  7. 82
  8. 57
  9. 17
  10. 286
  11. 14
  12. 52
  13. 16
  14. 22
  15. 13
  16. 18
  17. 19
  18. 164
  19. 14
  20. 19
  21. 3
  22. 203
  23. 277
  24. 33
  25. 41
  26. 144
  27. 35
  28. 75
  29. 40
  30. 6
  31. 14
  32. 67
  33. 13
  34. 11
  35. 21
  36. 98
  37. 324
  38. 24
  39. 1
  40. 98

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