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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 161 · 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 12 × 8 − 16 + 16?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 4 − 11 ÷ 6?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 18 + 3 − 17?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 6 + 3 ÷ 9?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 6 × 19 ÷ 2?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 6 − 6 + 3?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 13 − 11 ÷ 14?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 9 − 3 × 7?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 12 + 19 × 2?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 2 − 14 ÷ 18?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 8 × 5 + 14?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 7 × 18 + 12?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 7 ÷ 19 × 4?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 20 + 2 − 13?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 9 + 2 ÷ 2?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 18 × 16 + 4?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 7 + 8 × 2?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 17 ÷ 9 + 11?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 3 ÷ 9 × 10?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 16 − 5 × 5?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 6 × 3 + 4?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 10 ÷ 12 − 6?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 7 × 4 − 20?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 18 × 7 + 7?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 4 × 5 + 11?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 7 × 4 ÷ 14?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 12 ÷ 6 × 6?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 16 × 16 − 14?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 15 + 3 ÷ 20?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 12 + 15 − 10?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 16 − 7 ÷ 5?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 11 × 4 − 5?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 2 × 14 ÷ 10?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 2 − 7 × 6?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 10 × 5 + 12?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 12 ÷ 12 + 4?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 3 ÷ 11 − 14?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 4 − 12 + 14?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 3 + 7 ÷ 13?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 15 × 11 ÷ 16?

Answer key

  1. 5
  2. 78
  3. 68
  4. 25
  5. 77
  6. 32
  7. 75
  8. 20
  9. 231
  10. 262
  11. 80
  12. 228
  13. 106
  14. 146
  15. 52
  16. 48
  17. 16
  18. 85
  19. 28
  20. 20
  21. 10
  22. 11
  23. 93
  24. 50
  25. 67
  26. 102
  27. 86
  28. 30
  29. 122
  30. 43
  31. 290
  32. 16
  33. 12
  34. 41
  35. 62
  36. 41
  37. 1
  38. 53
  39. 10
  40. 170

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