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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 288 · 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 ÷ 5 × 12 − 9?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 12 + 4 × 6?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 17 ÷ 15 × 3?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 8 × 4 − 15?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 6 ÷ 7 − 2?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 6 + 12 × 6?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 7 × 12 − 12?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 5 ÷ 19 − 19?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 3 × 13 − 13?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 3 × 8 − 17?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 6 − 5 ÷ 9?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 3 ÷ 6 − 20?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 14 × 2 − 10?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 6 + 7 × 2?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 11 − 5 × 4?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 19 ÷ 9 + 18?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 10 − 14 + 2?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 5 × 5 ÷ 11?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 7 − 2 + 14?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 10 − 4 ÷ 11?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 4 × 8 − 2?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 20 ÷ 20 + 10?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 13 ÷ 2 + 14?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 12 ÷ 19 × 13?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 3 ÷ 17 + 4?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 11 + 20 ÷ 12?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 18 ÷ 18 × 3?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 6 − 2 ÷ 19?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 16 × 4 ÷ 3?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 11 + 12 × 9?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 10 × 10 ÷ 3?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 6 − 18 + 16?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 10 − 16 ÷ 4?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 18 ÷ 14 + 2?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 2 + 2 ÷ 15?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 15 × 8 ÷ 4?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 11 − 19 ÷ 7?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 18 + 3 − 2?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 7 − 11 ÷ 16?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 11 − 13 ÷ 20?

Answer key

  1. 110
  2. 3
  3. 266
  4. 55
  5. 27
  6. 6
  7. 13
  8. 95
  9. 11
  10. 141
  11. 15
  12. 122
  13. 80
  14. 39
  15. 64
  16. 157
  17. 156
  18. 1
  19. 7
  20. 38
  21. 10
  22. 25
  23. 21
  24. 114
  25. 18
  26. 213
  27. 29
  28. 22
  29. 41
  30. 217
  31. 187
  32. 99
  33. 42
  34. 257
  35. 4
  36. 71
  37. 139
  38. 18
  39. 37
  40. 31

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