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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 459 · 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 17 − 17 ÷ 20 + 8?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 3 × 16 + 2?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 4 ÷ 6 + 6?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 17 + 8 ÷ 11?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 16 + 3 × 3?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 8 − 2 ÷ 11?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 14 ÷ 4 + 3?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 11 ÷ 3 + 8?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 16 − 16 × 3?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 3 + 3 ÷ 6?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 × 3 ÷ 17 + 14?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 12 + 12 ÷ 16?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 7 − 19 + 12?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 2 ÷ 3 × 20?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 15 − 5 × 20?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 17 ÷ 13 − 20?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 16 + 11 × 11?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 4 ÷ 2 + 2?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 8 − 16 × 8?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 5 + 12 − 15?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 9 × 5 + 5?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 14 × 18 ÷ 18?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 7 × 9 ÷ 3?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 18 ÷ 12 + 3?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 19 − 19 ÷ 19?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 4 + 5 ÷ 11?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 8 × 4 ÷ 16?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 7 + 10 ÷ 8?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 20 ÷ 3 + 6?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 4 − 4 × 7?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 11 ÷ 17 + 20?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 16 ÷ 11 + 17?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 11 ÷ 11 + 11?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 14 × 19 + 13?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 4 ÷ 8 − 4?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 13 + 3 × 3?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 3 × 2 − 18?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 2 − 4 + 2?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 3 ÷ 14 × 2?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 9 ÷ 4 × 12?

Answer key

  1. 301
  2. 18
  3. 45
  4. 292
  5. 67
  6. 11
  7. 71
  8. 28
  9. 9
  10. 5
  11. 37
  12. 133
  13. 230
  14. 27
  15. 29
  16. 257
  17. 36
  18. 21
  19. 24
  20. 23
  21. 14
  22. 315
  23. 127
  24. 104
  25. 2
  26. 25
  27. 44
  28. 103
  29. 72
  30. 5
  31. 151
  32. 191
  33. 128
  34. 1
  35. 38
  36. 103
  37. 18
  38. 6
  39. 27
  40. 11

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