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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 395 · 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 8 ÷ 18 − 6 × 2?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 20 ÷ 16 − 2?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 11 ÷ 9 − 3?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 16 − 16 ÷ 5?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 19 × 3 − 5?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 3 ÷ 4 × 10?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 14 + 3 × 14?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 12 − 11 × 11?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 18 × 18 + 2?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 2 + 18 − 12?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 6 ÷ 18 + 8?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 ÷ 17 + 9?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 14 × 2 − 4?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 2 ÷ 2 − 14?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 4 ÷ 6 × 12?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 4 × 7 ÷ 9?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 9 + 3 ÷ 15?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 14 × 2 − 17?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 16 + 4 − 3?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 7 + 11 × 13?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 16 − 16 × 8?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 18 − 2 ÷ 4?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 13 × 17 + 7?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 2 ÷ 6 − 2?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 17 + 2 × 19?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 9 × 3 + 5?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 20 − 12 ÷ 18?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 4 ÷ 18 + 9?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 14 ÷ 6 × 18?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 14 − 9 + 5?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 11 − 14 + 14?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 5 × 12 ÷ 15?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 16 ÷ 18 − 6?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 4 − 10 × 13?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 14 + 10 × 11?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 12 ÷ 14 × 2?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 9 ÷ 7 − 17?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 6 + 19 ÷ 18?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 12 × 2 + 13?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 7 ÷ 15 − 9?

Answer key

  1. 9
  2. 108
  3. 104
  4. 8
  5. 119
  6. 60
  7. 56
  8. 8
  9. 15
  10. 7
  11. 104
  12. 127
  13. 130
  14. 31
  15. 82
  16. 64
  17. 23
  18. 73
  19. 14
  20. 23
  21. 162
  22. 122
  23. 88
  24. 35
  25. 35
  26. 2
  27. 226
  28. 20
  29. 110
  30. 136
  31. 158
  32. 97
  33. 109
  34. 21
  35. 225
  36. 23
  37. 118
  38. 35
  39. 73
  40. 99

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