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Symbol Substitution Worksheet

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

Answer key

  1. 17
  2. 106
  3. 24
  4. 63
  5. 87
  6. 15
  7. 246
  8. 266
  9. 6
  10. 1
  11. 44
  12. 9
  13. 141
  14. 190
  15. 9
  16. 97
  17. 311
  18. 7
  19. 5
  20. 32
  21. 139
  22. 41
  23. 167
  24. 5
  25. 69
  26. 139
  27. 89
  28. 8
  29. 67
  30. 14
  31. 235
  32. 11
  33. 77
  34. 3
  35. 23
  36. 49
  37. 8
  38. 54
  39. 111
  40. 59

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