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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 198 · 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 18 − 6 ÷ 5 × 17?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 5 ÷ 7 − 16?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 5 ÷ 20 − 11?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 11 − 4 ÷ 3?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 14 × 2 + 5?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 3 − 5 ÷ 15?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 2 + 2 × 17?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 16 × 4 − 5?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 3 − 20 × 7?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 3 × 4 − 11?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 16 − 18 + 9?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 6 + 7 × 4?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 7 × 10 ÷ 20?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 7 × 2 − 5?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 6 ÷ 20 + 17?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 4 + 14 − 8?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 6 ÷ 8 + 3?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 18 + 3 × 16?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 12 + 12 × 4?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 16 × 2 ÷ 19?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 7 ÷ 10 × 13?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 9 + 13 × 6?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 19 × 18 + 19?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 14 ÷ 4 + 4?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 6 − 3 × 7?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 20 + 19 ÷ 14?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 9 × 6 − 6?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 6 − 20 + 11?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 17 − 8 × 12?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 9 × 10 + 5?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 4 − 2 ÷ 20?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 14 × 8 ÷ 6?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 3 × 6 ÷ 3?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 12 − 12 × 15?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 3 ÷ 14 + 4?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 19 ÷ 20 − 4?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 15 ÷ 6 + 11?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 8 ÷ 20 − 5?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 16 − 16 ÷ 13?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 11 ÷ 11 − 12?

Answer key

  1. 31
  2. 115
  3. 217
  4. 34
  5. 11
  6. 18
  7. 23
  8. 4
  9. 10
  10. 16
  11. 121
  12. 57
  13. 136
  14. 68
  15. 121
  16. 10
  17. 13
  18. 98
  19. 154
  20. 191
  21. 53
  22. 119
  23. 56
  24. 19
  25. 14
  26. 135
  27. 9
  28. 63
  29. 183
  30. 56
  31. 20
  32. 114
  33. 45
  34. 19
  35. 68
  36. 233
  37. 93
  38. 76
  39. 4
  40. 125

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