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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 305 · 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 9 × 20 − 6 ÷ 20?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 3 + 2 ÷ 2?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 19 + 11 − 3?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 16 + 10 − 3?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 4 − 9 ÷ 14?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 2 ÷ 17 × 16?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 19 ÷ 14 − 2?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 3 − 9 + 20?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 20 ÷ 18 + 5?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 14 + 14 × 8?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 2 × 6 + 17?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 11 − 20 ÷ 20?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 12 ÷ 5 − 17?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 16 ÷ 5 + 2?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 15 ÷ 17 + 5?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 16 − 13 + 11?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 3 − 3 ÷ 8 × 19?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 8 × 16 + 4?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 2 − 14 ÷ 8?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 3 ÷ 10 − 5?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 8 × 8 + 7?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 6 × 8 ÷ 19?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 16 ÷ 4 + 18?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 16 − 4 ÷ 15?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 3 ÷ 12 − 10?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 13 − 13 × 2?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 2 − 2 + 15?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 9 ÷ 11 − 7?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 3 × 2 ÷ 4?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 18 ÷ 8 + 11?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 16 + 2 ÷ 17?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 8 ÷ 12 − 2?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 3 + 10 ÷ 10?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 13 − 17 + 7?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 20 ÷ 2 + 2?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 2 + 3 ÷ 8?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 11 ÷ 12 − 6?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 4 + 9 − 17?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 5 ÷ 20 − 7?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 7 + 7 ÷ 2 − 16?

Answer key

  1. 109
  2. 10
  3. 49
  4. 2
  5. 127
  6. 31
  7. 221
  8. 1
  9. 375
  10. 205
  11. 23
  12. 391
  13. 92
  14. 5
  15. 70
  16. 208
  17. 12
  18. 28
  19. 122
  20. 23
  21. 105
  22. 131
  23. 290
  24. 49
  25. 133
  26. 7
  27. 33
  28. 76
  29. 34
  30. 145
  31. 1
  32. 59
  33. 30
  34. 49
  35. 80
  36. 15
  37. 20
  38. 20
  39. 82
  40. 18

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