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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 401 · 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 7 + 2 − 2 ÷ 19?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 17 + 10 × 2?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 17 + 2 − 2?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 4 − 8 + 7?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 10 − 13 × 19?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 18 ÷ 7 × 6?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 16 + 9 × 5?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 12 ÷ 15 × 2?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 18 + 8 × 5?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 2 ÷ 6 − 7?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 16 − 8 × 2?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 13 ÷ 4 × 16?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 6 ÷ 4 × 10?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 12 × 7 ÷ 4?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 20 ÷ 12 × 10?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 15 + 16 ÷ 17?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 2 × 2 ÷ 2?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 5 − 18 + 15?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 7 ÷ 3 + 17?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 9 ÷ 3 × 10?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 15 − 19 ÷ 2?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 5 × 14 − 18?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 12 − 8 ÷ 18?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 2 − 2 × 17 ÷ 6?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 18 ÷ 17 + 7?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 12 − 12 × 6?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 11 − 10 + 4?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 9 − 7 + 15?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 10 + 10 × 10?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 18 − 2 ÷ 2?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 4 + 14 × 15?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 14 − 2 + 7?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 4 ÷ 5 − 17?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 2 + 15 × 5?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 4 − 9 ÷ 14?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 7 + 3 ÷ 3?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 5 × 6 ÷ 11?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 3 ÷ 7 + 14?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 8 × 9 + 9?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 9 + 15 − 17?

Answer key

  1. 22
  2. 175
  3. 25
  4. 33
  5. 131
  6. 289
  7. 108
  8. 169
  9. 152
  10. 23
  11. 5
  12. 183
  13. 66
  14. 117
  15. 278
  16. 225
  17. 7
  18. 277
  19. 24
  20. 20
  21. 35
  22. 266
  23. 151
  24. 12
  25. 304
  26. 37
  27. 41
  28. 101
  29. 14
  30. 88
  31. 73
  32. 7
  33. 92
  34. 3
  35. 132
  36. 2
  37. 55
  38. 17
  39. 10
  40. 38

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