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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 185 · 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 16 × 20 − 3 ÷ 2?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 9 − 19 × 15?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 20 + 15 − 15?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 19 − 7 ÷ 4?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 12 × 4 ÷ 12?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 14 + 11 × 10?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 6 + 20 × 18?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 12 × 4 − 18?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 14 × 7 + 9?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 7 + 3 ÷ 19?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 14 × 10 ÷ 15?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 9 − 3 + 6?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 4 ÷ 13 + 11?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 10 − 2 + 17?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 15 + 3 ÷ 17?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 5 − 17 × 16?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 6 ÷ 10 + 15?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 × 11 + 14 − 16?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 13 × 9 ÷ 13?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 13 + 4 ÷ 6?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 5 × 12 ÷ 5?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 10 + 15 ÷ 9?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 2 + 12 ÷ 7?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 6 − 2 + 2?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 16 × 16 ÷ 9?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 20 − 3 + 3?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 5 ÷ 2 − 6?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 18 + 13 ÷ 15?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 9 × 4 + 15?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 10 ÷ 12 + 20?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 2 − 9 + 3?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 3 − 6 + 6?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 4 − 7 + 5?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 19 × 9 ÷ 6?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 17 − 20 ÷ 10?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 17 ÷ 13 − 10?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 13 ÷ 20 × 18?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 5 − 3 ÷ 16?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 12 ÷ 5 × 11?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 15 − 5 + 12?

Answer key

  1. 74
  2. 148
  3. 19
  4. 23
  5. 57
  6. 153
  7. 2
  8. 78
  9. 26
  10. 156
  11. 117
  12. 22
  13. 48
  14. 30
  15. 19
  16. 80
  17. 19
  18. 3
  19. 74
  20. 19
  21. 93
  22. 44
  23. 13
  24. 10
  25. 27
  26. 37
  27. 11
  28. 38
  29. 55
  30. 52
  31. 32
  32. 31
  33. 32
  34. 42
  35. 338
  36. 116
  37. 248
  38. 10
  39. 30
  40. 70

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