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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 149 · 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 19 + 13 × 20 ÷ 14?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 9 × 4 − 5?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 15 × 16 ÷ 6?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 4 ÷ 6 × 3?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 6 − 7 ÷ 10?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 2 + 16 × 16?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 5 ÷ 10 + 10?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 6 + 14 − 20?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 5 ÷ 18 − 2?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 20 ÷ 11 × 19?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 5 − 19 ÷ 16?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 2 + 7 × 7?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 8 × 4 − 3?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 2 ÷ 17 − 10?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 5 + 5 − 17?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 3 × 20 − 5?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 2 × 2 − 12?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 9 − 11 × 19?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 5 ÷ 9 × 4?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 6 − 15 ÷ 9?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 7 ÷ 5 − 6?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 9 + 15 × 15?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 16 × 14 + 2?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 18 × 2 ÷ 20?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 7 + 6 × 4?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 10 ÷ 19 + 13?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 4 ÷ 10 − 3?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 3 ÷ 17 − 10?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 7 + 2 ÷ 8?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 4 ÷ 20 + 10?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 4 + 9 − 18?
  32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 7 × 18 + 18?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 16 + 8 × 13?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 2 × 16 − 4?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 6 × 2 ÷ 6?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 7 ÷ 11 × 6?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 14 ÷ 6 + 15?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 7 × 5 + 5?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 16 × 16 + 11?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 14 + 20 − 3?

Answer key

  1. 241
  2. 181
  3. 160
  4. 9
  5. 24
  6. 21
  7. 114
  8. 62
  9. 91
  10. 348
  11. 6
  12. 28
  13. 11
  14. 180
  15. 20
  16. 4
  17. 21
  18. 109
  19. 95
  20. 6
  21. 15
  22. 125
  23. 73
  24. 39
  25. 53
  26. 179
  27. 45
  28. 181
  29. 7
  30. 216
  31. 77
  32. 55
  33. 11
  34. 26
  35. 112
  36. 40
  37. 89
  38. 27
  39. 293
  40. 17

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