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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 269 · 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 × 4 ÷ 8 + 14?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 13 ÷ 4 + 17?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 11 + 13 × 2?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 17 × 2 − 7?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 5 + 9 × 9?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 8 × 20 ÷ 12?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 6 ÷ 2 − 20?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 5 ÷ 5 − 7?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 ÷ 7 − 20?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 17 ÷ 19 − 17?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 6 ÷ 12 × 8?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 12 ÷ 20 + 8?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 ÷ 3 − 14?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 5 − 3 × 3?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 9 × 9 + 16?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 7 + 7 × 11?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 15 + 5 × 12?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 2 + 19 × 5?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 3 × 3 ÷ 9?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 3 × 17 + 18?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 5 ÷ 19 × 18?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 16 ÷ 19 + 10?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 19 − 5 ÷ 2?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 4 ÷ 9 − 2?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 7 + 16 × 2?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 13 + 4 − 2?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 20 × 7 + 13?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 12 × 18 − 2?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 7 − 2 × 10?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 5 + 2 − 2?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 4 − 12 × 3?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 10 ÷ 6 + 13?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 3 − 6 ÷ 13?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 7 ÷ 12 × 2?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 4 − 2 ÷ 20?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 16 + 9 − 12?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 2 + 15 × 10?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 7 × 15 + 18?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 3 × 10 − 18?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 12 − 17 ÷ 20?

Answer key

  1. 24
  2. 39
  3. 151
  4. 243
  5. 15
  6. 239
  7. 22
  8. 32
  9. 145
  10. 322
  11. 40
  12. 33
  13. 43
  14. 7
  15. 155
  16. 1
  17. 18
  18. 12
  19. 0
  20. 323
  21. 79
  22. 9
  23. 6
  24. 5
  25. 5
  26. 40
  27. 194
  28. 5
  29. 14
  30. 3
  31. 60
  32. 13
  33. 11
  34. 92
  35. 26
  36. 243
  37. 35
  38. 109
  39. 62
  40. 200

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