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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 178 · 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 13 + 7 ÷ 20 − 19?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 4 + 17 × 17?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 19 − 19 ÷ 16 × 4?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 4 ÷ 2 × 11?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 12 × 3 + 16?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 8 ÷ 2 + 2?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 2 − 16 + 16?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 16 ÷ 10 + 17?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 7 − 12 ÷ 6?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 19 + 8 × 7?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 9 × 8 + 8?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 13 ÷ 7 − 8?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 6 ÷ 9 + 3?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 17 × 11 ÷ 20?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 18 ÷ 7 × 4?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 + 4 ÷ 2?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 3 × 6 − 2?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 6 − 3 × 20?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 4 − 3 ÷ 10?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 12 × 8 ÷ 15?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 18 ÷ 7 + 4?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 4 + 4 ÷ 13?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 5 ÷ 10 + 16?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 17 + 4 − 15?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 7 ÷ 20 + 19?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 20 ÷ 10 + 19?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 18 ÷ 14 − 8?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 4 × 2 + 12?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 14 − 20 + 4?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 13 − 7 + 17?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 11 − 3 × 5?
  32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 16 − 4 × 15?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 14 × 16 + 11?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 4 ÷ 18 + 18?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 3 ÷ 15 + 4?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 6 + 2 − 19?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 17 − 6 × 8?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 2 ÷ 3 − 6?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 18 ÷ 17 × 10?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 6 ÷ 3 × 14?

Answer key

  1. 90
  2. 16
  3. 13
  4. 5
  5. 52
  6. 18
  7. 260
  8. 156
  9. 84
  10. 189
  11. 152
  12. 63
  13. 51
  14. 213
  15. 57
  16. 1
  17. 12
  18. 4
  19. 6
  20. 21
  21. 10
  22. 0
  23. 53
  24. 66
  25. 130
  26. 191
  27. 100
  28. 7
  29. 85
  30. 90
  31. 60
  32. 53
  33. 61
  34. 10
  35. 59
  36. 69
  37. 100
  38. 17
  39. 227
  40. 55

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