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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 484 · 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 × 5 − 18 ÷ 5?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 15 − 10 × 15?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 3 − 7 × 15?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 16 − 9 ÷ 11?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 9 − 10 ÷ 15?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 ÷ 13 × 6?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 19 ÷ 7 + 8?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 3 − 6 × 9?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 14 + 20 − 7?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 17 − 18 ÷ 4?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 16 − 2 ÷ 18?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 3 + 12 − 10?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 4 − 19 ÷ 17?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 10 + 18 ÷ 16?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 3 ÷ 11 − 18?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 9 − 19 ÷ 10?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 7 ÷ 9 − 13?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 4 + 4 − 17?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 6 − 10 × 3?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 10 − 13 ÷ 12?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 3 − 14 ÷ 18?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 8 + 4 ÷ 7?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 10 − 11 ÷ 15?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 − 13 × 13?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 6 + 14 ÷ 2?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 2 ÷ 13 × 10?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 15 + 5 − 12?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 9 + 2 ÷ 14?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 14 × 14 − 9?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 16 + 10 − 12?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 18 ÷ 7 + 13?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 + 15 ÷ 19?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 ÷ 7 − 12?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 20 ÷ 6 + 11?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 5 + 14 × 2?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 9 ÷ 16 − 2?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 16 ÷ 10 × 19?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 6 × 6 ÷ 7?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 3 × 13 + 7?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 20 ÷ 18 − 2?

Answer key

  1. 100
  2. 265
  3. 20
  4. 143
  5. 82
  6. 110
  7. 134
  8. 51
  9. 44
  10. 252
  11. 25
  12. 11
  13. 328
  14. 177
  15. 2
  16. 184
  17. 117
  18. 20
  19. 60
  20. 151
  21. 14
  22. 35
  23. 7
  24. 104
  25. 102
  26. 21
  27. 45
  28. 11
  29. 25
  30. 44
  31. 124
  32. 5
  33. 85
  34. 111
  35. 23
  36. 134
  37. 233
  38. 24
  39. 99
  40. 149

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