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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 627 · 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 ÷ 20 × 4 + 15?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 13 × 20 − 8?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 2 − 5 ÷ 16?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 9 − 16 × 18?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 3 ÷ 16 + 11?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 10 × 13 − 13?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 4 + 2 × 3?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 16 + 2 × 4?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 10 × 18 ÷ 9?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 17 − 17 + 14 × 14?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 8 ÷ 19 × 4?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 15 − 6 + 19?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 10 − 9 ÷ 17?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 19 + 17 − 2?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 8 × 8 + 8?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 12 − 18 × 16?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 3 ÷ 6 + 8?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 8 + 2 × 13?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 6 × 2 ÷ 6?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 2 ÷ 9 × 9?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 10 × 3 + 2?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 − 13 × 3 ÷ 20?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 10 ÷ 4 + 2?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 2 + 16 ÷ 14?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 20 − 16 × 12?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 10 × 12 ÷ 10?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 2 ÷ 13 × 20?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 8 ÷ 10 − 10?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 12 × 3 ÷ 3?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 12 × 12 ÷ 11?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 2 ÷ 16 × 5?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 7 × 6 ÷ 7?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 2 − 3 ÷ 7?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 4 ÷ 9 + 20?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 5 − 20 + 20?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 15 + 3 ÷ 9?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 6 − 20 + 7?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 6 × 10 ÷ 5?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 12 ÷ 20 × 12?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 6 × 3 ÷ 13?

Answer key

  1. 129
  2. 21
  3. 22
  4. 142
  5. 37
  6. 171
  7. 6
  8. 124
  9. 171
  10. 0
  11. 47
  12. 11
  13. 32
  14. 23
  15. 136
  16. 26
  17. 59
  18. 1
  19. 34
  20. 6
  21. 6
  22. 18
  23. 32
  24. 37
  25. 4
  26. 72
  27. 17
  28. 73
  29. 12
  30. 31
  31. 46
  32. 14
  33. 9
  34. 181
  35. 7
  36. 62
  37. 127
  38. 65
  39. 248
  40. 16

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