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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 734 · 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 8 × 7 ÷ 2 + 7?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 2 ÷ 11 + 13?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 16 × 12 − 10?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 5 ÷ 2 − 2?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 9 ÷ 16 + 4?
  6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 14 × 6 + 6?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 7 + 17 × 18?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 10 × 14 − 17?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 10 × 10 ÷ 20?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 14 × 2 ÷ 6?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 19 ÷ 4 × 2?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 7 + 20 ÷ 9?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 14 ÷ 6 − 3?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 16 ÷ 16 × 2?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 11 + 15 × 5?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 11 − 7 ÷ 19?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 17 × 7 + 2?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 4 + 2 − 20?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 5 ÷ 19 + 13?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 9 ÷ 6 + 19?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 18 × 4 − 18?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 13 − 5 ÷ 5?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 9 + 3 − 7 ÷ 11?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 13 × 19 ÷ 2?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 2 × 13 + 5?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 9 ÷ 16 − 12?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 6 ÷ 4 + 11?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 3 ÷ 18 × 16?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 7 ÷ 16 − 4?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 9 × 6 ÷ 6?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 18 − 6 × 14?
  32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 18 + 9 − 20?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 2 + 18 × 5?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 19 − 9 × 4?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 6 − 16 × 9?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 20 ÷ 2 × 18?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 19 × 20 ÷ 16?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 8 + 11 × 18?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 16 × 4 ÷ 9?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 9 ÷ 5 − 6?

Answer key

  1. 1
  2. 7
  3. 34
  4. 1
  5. 44
  6. 55
  7. 103
  8. 231
  9. 200
  10. 38
  11. 264
  12. 139
  13. 14
  14. 2
  15. 163
  16. 139
  17. 73
  18. 53
  19. 86
  20. 108
  21. 90
  22. 65
  23. 32
  24. 108
  25. 13
  26. 192
  27. 53
  28. 28
  29. 68
  30. 63
  31. 15
  32. 46
  33. 41
  34. 170
  35. 79
  36. 364
  37. 365
  38. 71
  39. 59
  40. 19

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