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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 875 · 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 ÷ 9 + 10 − 5?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 8 + 12 × 6?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 18 + 5 − 6?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 20 − 12 ÷ 10?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 4 × 13 + 14?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 13 × 7 + 19?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 16 + 4 × 5?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 20 − 2 ÷ 12?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 2 × 18 − 18?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 2 ÷ 5 − 3?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 6 − 4 × 5?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 9 ÷ 11 × 2?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 3 ÷ 9 − 3?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 5 + 8 × 14?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 10 − 13 × 11?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 17 × 5 ÷ 4?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 13 × 10 + 10?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 12 + 2 ÷ 20?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 10 × 4 − 3?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 4 ÷ 10 − 2?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 2 + 3 × 2?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 13 ÷ 18 − 9?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 8 ÷ 7 − 2?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 16 ÷ 3 × 6?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 19 ÷ 2 − 20?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 18 ÷ 6 + 10?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 2 + 10 × 19?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 8 × 2 ÷ 3?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 17 × 8 + 20?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 18 × 4 + 8?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 19 − 13 ÷ 3?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 8 + 4 − 13?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 15 ÷ 3 + 4?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 8 ÷ 5 + 13?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 3 × 5 − 16?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 14 + 9 × 14?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 6 ÷ 20 − 12?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 4 − 14 ÷ 17?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 5 ÷ 15 + 4?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 17 × 17 − 7?

Answer key

  1. 124
  2. 54
  3. 1
  4. 103
  5. 2
  6. 7
  7. 67
  8. 42
  9. 11
  10. 3
  11. 7
  12. 117
  13. 32
  14. 56
  15. 37
  16. 324
  17. 92
  18. 133
  19. 4
  20. 11
  21. 3
  22. 106
  23. 43
  24. 157
  25. 246
  26. 106
  27. 71
  28. 22
  29. 14
  30. 27
  31. 16
  32. 29
  33. 57
  34. 77
  35. 89
  36. 42
  37. 248
  38. 248
  39. 61
  40. 21

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