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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 188 · 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 ÷ 19 − 14 × 9?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 9 − 2 × 11?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 3 × 3 − 19?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 12 − 4 × 8?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 18 ÷ 3 + 10?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 19 × 7 − 10?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 20 + 8 ÷ 15?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 12 ÷ 12 × 15?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 4 × 11 + 11?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 19 ÷ 5 + 14?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 17 − 18 ÷ 17?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 13 ÷ 20 × 4?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 18 + 4 ÷ 3?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 18 × 5 ÷ 2?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 3 + 19 × 8?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 7 ÷ 3 × 4?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 11 ÷ 2 × 15?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 4 ÷ 20 − 18?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 5 × 14 + 14?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 10 × 4 ÷ 2?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 6 − 17 × 2?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 5 ÷ 10 + 11?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 20 ÷ 3 + 9?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 2 ÷ 17 + 2?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 4 + 12 − 12?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 18 + 5 × 18?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 9 − 13 ÷ 12?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 12 − 6 ÷ 3?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 14 + 7 × 18?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 20 × 2 ÷ 6?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 2 − 18 ÷ 15?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 11 ÷ 11 + 13?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 14 + 7 − 20?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 16 − 2 ÷ 6?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 19 + 2 ÷ 16?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 12 ÷ 6 + 12?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 2 ÷ 18 × 11?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 10 + 2 × 5?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 10 + 16 − 14?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 13 × 7 − 4?

Answer key

  1. 119
  2. 29
  3. 26
  4. 13
  5. 245
  6. 57
  7. 149
  8. 138
  9. 10
  10. 85
  11. 188
  12. 94
  13. 305
  14. 123
  15. 106
  16. 22
  17. 101
  18. 30
  19. 26
  20. 52
  21. 54
  22. 24
  23. 54
  24. 51
  25. 7
  26. 121
  27. 108
  28. 17
  29. 30
  30. 176
  31. 33
  32. 119
  33. 49
  34. 18
  35. 4
  36. 70
  37. 5
  38. 17
  39. 46
  40. 17

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