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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 124 · 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 10 − 4 + 3 ÷ 3?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 2 ÷ 3 × 11?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 18 × 3 + 13?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 20 + 4 ÷ 2?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 16 ÷ 3 × 14?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 7 × 8 − 17?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 4 − 13 × 4?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 10 ÷ 3 × 20?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 7 × 14 ÷ 15?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 18 − 3 × 6?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 5 ÷ 5 × 18?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 12 × 18 + 18?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 10 − 4 + 10?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 3 ÷ 13 − 3?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 15 ÷ 2 + 7?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 18 − 9 ÷ 8?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 7 × 8 − 8?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 16 × 8 ÷ 12?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 2 − 9 + 12?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 6 ÷ 10 × 3?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 14 × 3 ÷ 14?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 5 + 16 ÷ 10?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 4 ÷ 6 − 15?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 15 ÷ 8 − 19?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 3 × 17 + 7?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 9 × 4 ÷ 14?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 4 − 17 + 17?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 13 + 12 × 20?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 4 + 10 − 18?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 4 × 6 + 2?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 20 × 8 + 17?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 13 × 19 + 6?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 4 − 2 + 7?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 3 + 5 × 5?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 11 × 16 + 20?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 5 × 16 ÷ 3?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 16 − 4 ÷ 12?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 3 − 20 ÷ 4?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 17 + 17 − 12 × 12?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 20 − 2 ÷ 16?

Answer key

  1. 5
  2. 5
  3. 65
  4. 92
  5. 91
  6. 142
  7. 22
  8. 197
  9. 34
  10. 2
  11. 78
  12. 35
  13. 15
  14. 44
  15. 205
  16. 163
  17. 98
  18. 38
  19. 11
  20. 19
  21. 101
  22. 29
  23. 90
  24. 153
  25. 55
  26. 82
  27. 19
  28. 140
  29. 38
  30. 24
  31. 351
  32. 7
  33. 34
  34. 13
  35. 317
  36. 22
  37. 0
  38. 55
  39. 24
  40. 114

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