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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 883 · 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 6 ÷ 5 × 3 + 15?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 8 + 2 − 16?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 2 − 5 × 2?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 16 × 16 + 8?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 3 + 5 × 4?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 13 × 15 + 17?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 16 ÷ 11 × 17?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 4 × 7 − 4?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 5 + 18 ÷ 7?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 17 ÷ 18 − 9?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 8 × 14 + 14?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 5 × 6 ÷ 2?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 15 − 4 + 3?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 6 − 3 × 10?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 18 ÷ 6 − 2?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 12 × 3 + 13?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 6 − 18 × 13?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 18 × 15 − 15?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 5 + 8 − 6?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 13 × 20 ÷ 2?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 9 ÷ 20 + 19?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 3 × 12 ÷ 17?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 10 + 2 ÷ 5?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 15 − 6 ÷ 7?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 18 ÷ 16 + 2?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 12 × 3 − 17?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 9 × 6 + 2?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 7 ÷ 11 × 6?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 15 − 5 + 9?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 9 ÷ 9 − 6?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 8 × 17 − 20?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 7 + 4 ÷ 4?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 12 × 2 − 9?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 3 × 14 − 3?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 3 × 19 + 3?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 15 + 8 ÷ 2?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 6 − 12 ÷ 11?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 2 − 20 ÷ 16?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 17 × 2 − 19?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 17 ÷ 5 × 19?

Answer key

  1. 18
  2. 84
  3. 6
  4. 33
  5. 7
  6. 24
  7. 230
  8. 1
  9. 95
  10. 202
  11. 19
  12. 21
  13. 30
  14. 48
  15. 28
  16. 45
  17. 31
  18. 343
  19. 63
  20. 151
  21. 82
  22. 18
  23. 95
  24. 43
  25. 1
  26. 33
  27. 30
  28. 96
  29. 4
  30. 48
  31. 341
  32. 32
  33. 10
  34. 42
  35. 19
  36. 2
  37. 1
  38. 43
  39. 155
  40. 303

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