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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 82 · 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 14 − 2 × 2 ÷ 11?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 2 × 14 ÷ 5?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 16 ÷ 18 + 10?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 10 + 6 × 10?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 3 × 17 ÷ 17?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 15 − 12 + 17?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 17 − 13 ÷ 5?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 12 − 12 × 2?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 2 + 10 ÷ 17?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 15 − 17 + 3?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 2 ÷ 3 − 3?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 19 × 16 + 12?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 4 − 4 + 10?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 6 ÷ 13 + 14?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 2 ÷ 6 − 17?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 17 + 18 ÷ 3?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 2 ÷ 4 − 17?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 16 + 16 − 7?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 5 ÷ 5 + 4?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 16 − 17 × 19?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 12 × 3 ÷ 9?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 14 + 15 × 12?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 16 × 19 ÷ 18?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 7 + 10 × 6?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 12 × 7 ÷ 14?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 8 + 8 ÷ 6?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 5 + 5 × 8?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 16 × 15 ÷ 20?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 4 − 2 + 5?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 11 − 4 ÷ 6?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 17 + 15 ÷ 18?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 5 ÷ 18 × 19?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 9 + 6 − 2?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 3 × 5 ÷ 9?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 2 − 3 ÷ 19?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 16 + 12 × 12?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 ÷ 14 × 15?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 13 + 18 × 14?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 8 − 7 × 10?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 4 × 8 ÷ 9?

Answer key

  1. 37
  2. 12
  3. 285
  4. 5
  5. 9
  6. 203
  7. 66
  8. 87
  9. 4
  10. 88
  11. 29
  12. 327
  13. 30
  14. 29
  15. 118
  16. 70
  17. 17
  18. 24
  19. 96
  20. 256
  21. 14
  22. 212
  23. 335
  24. 129
  25. 91
  26. 25
  27. 23
  28. 27
  29. 11
  30. 53
  31. 247
  32. 69
  33. 15
  34. 58
  35. 16
  36. 28
  37. 99
  38. 239
  39. 54
  40. 74

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