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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 308 · 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 − 2 + 8 × 10?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 17 × 13 ÷ 6?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 12 × 18 − 6?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 18 − 2 × 18?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 19 × 2 − 7?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 5 − 5 × 11?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 11 + 6 − 3?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 4 ÷ 3 × 17?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 4 ÷ 8 × 15?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 10 × 12 + 4?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 14 ÷ 7 × 4?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 6 ÷ 5 + 14?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 12 + 14 ÷ 3?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 20 − 11 + 13?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 4 × 6 + 2?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 14 − 7 ÷ 12?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 16 + 6 × 18?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 16 − 6 × 19?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 2 × 3 + 14?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 4 + 4 − 18?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 2 + 15 − 15?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 2 × 11 ÷ 5?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 3 × 13 − 10?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 4 + 5 ÷ 6?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 17 + 18 × 3?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 16 − 13 + 2?
  27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 14 + 13 − 17?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 20 − 10 × 6?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 20 × 5 ÷ 11?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 20 − 5 × 5?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 16 − 4 ÷ 14?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 3 − 3 + 11?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 15 ÷ 13 + 17?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 6 + 12 − 6?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 8 × 4 − 15?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 9 + 2 − 3?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 14 + 18 − 9?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 2 ÷ 6 × 4?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 5 ÷ 11 × 11?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 13 − 6 × 10?

Answer key

  1. 13
  2. 109
  3. 26
  4. 36
  5. 16
  6. 14
  7. 129
  8. 58
  9. 21
  10. 1
  11. 87
  12. 75
  13. 121
  14. 221
  15. 23
  16. 23
  17. 93
  18. 51
  19. 1
  20. 30
  21. 20
  22. 24
  23. 146
  24. 3
  25. 26
  26. 211
  27. 60
  28. 304
  29. 134
  30. 240
  31. 50
  32. 16
  33. 180
  34. 16
  35. 22
  36. 24
  37. 38
  38. 30
  39. 1
  40. 61

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