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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 865 · 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 6 ÷ 18 × 20 − 14?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 14 ÷ 16 × 7?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 13 − 5 × 7?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 2 + 3 × 11?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 8 ÷ 5 + 19?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 8 + 14 ÷ 19?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 2 ÷ 17 × 16?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 6 × 2 − 19?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 6 − 18 × 13?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 20 × 2 + 2?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 20 × 5 − 12?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 8 × 15 ÷ 8?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 11 × 16 ÷ 14?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 19 × 9 ÷ 5?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 4 + 7 − 19?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 5 × 4 ÷ 5?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 2 + 12 × 12?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 8 ÷ 8 + 8?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 10 ÷ 16 − 13?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 2 × 2 ÷ 17?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 18 − 4 ÷ 15?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 5 + 16 ÷ 7?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 4 ÷ 17 + 17?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 11 × 16 + 16?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 18 + 9 − 10?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 5 ÷ 13 × 7?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 12 + 6 ÷ 2?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 2 + 17 − 14?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 7 + 8 − 2?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 20 − 6 ÷ 5?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 9 + 17 ÷ 6?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 9 × 13 ÷ 9?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 19 ÷ 20 − 9?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 4 + 8 ÷ 8?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 9 ÷ 6 × 14?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 7 × 2 − 7?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 5 ÷ 20 − 5?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 12 × 7 ÷ 6?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 8 + 7 − 14?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 12 + 19 − 3?

Answer key

  1. 102
  2. 44
  3. 60
  4. 4
  5. 26
  6. 141
  7. 29
  8. 29
  9. 115
  10. 48
  11. 50
  12. 41
  13. 156
  14. 137
  15. 33
  16. 33
  17. 4
  18. 23
  19. 57
  20. 44
  21. 51
  22. 6
  23. 9
  24. 262
  25. 22
  26. 14
  27. 5
  28. 16
  29. 10
  30. 17
  31. 163
  32. 128
  33. 169
  34. 8
  35. 82
  36. 8
  37. 97
  38. 43
  39. 15
  40. 93

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