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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 219 · 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 − 6 ÷ 16 × 2?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 17 × 4 ÷ 11?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 19 ÷ 8 + 6?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 8 ÷ 3 + 4?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 20 × 11 ÷ 6?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 17 + 13 ÷ 8?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 9 × 10 ÷ 17?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 10 + 9 − 9?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 15 − 19 ÷ 9?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 2 + 4 ÷ 14?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 20 ÷ 5 + 4?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 11 + 18 × 3?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 19 × 19 − 13?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 4 × 9 − 9?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 6 + 2 ÷ 7?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 17 − 20 ÷ 4?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 2 + 4 ÷ 5?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 3 + 3 ÷ 16?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 15 × 9 − 3?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 4 + 8 × 12?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 17 − 13 + 17?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 14 + 4 − 14?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 20 × 5 − 6?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 6 × 3 + 3?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 6 + 2 − 14?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 11 − 7 ÷ 17?
  27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 12 − 5 ÷ 2?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 11 × 11 − 6?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 4 ÷ 2 × 4?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 2 − 8 ÷ 14?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 20 ÷ 4 × 2?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 15 − 9 ÷ 16?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 18 − 18 ÷ 14?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 12 + 4 × 3?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 18 ÷ 3 + 19?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 14 ÷ 6 + 3?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 9 ÷ 7 − 18?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 3 − 14 ÷ 16?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 3 ÷ 5 × 8?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 19 + 2 × 15?

Answer key

  1. 28
  2. 31
  3. 150
  4. 3
  5. 115
  6. 217
  7. 119
  8. 20
  9. 278
  10. 13
  11. 12
  12. 215
  13. 15
  14. 11
  15. 8
  16. 340
  17. 7
  18. 22
  19. 6
  20. 17
  21. 214
  22. 9
  23. 18
  24. 2
  25. 54
  26. 114
  27. 4
  28. 25
  29. 0
  30. 4
  31. 59
  32. 123
  33. 3
  34. 60
  35. 344
  36. 88
  37. 127
  38. 230
  39. 20
  40. 23

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