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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 435 · 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 18 + 9 ÷ 4 × 11?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 10 ÷ 20 × 2?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 5 + 11 × 2?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 20 + 11 × 15?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 2 × 9 − 7?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 6 − 7 ÷ 9?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 9 ÷ 15 × 12?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 12 × 11 − 12?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 5 − 5 ÷ 9?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 4 ÷ 16 + 19?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 3 − 2 ÷ 20?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 12 ÷ 17 − 8?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 3 × 5 + 3?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 5 ÷ 20 − 4?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 12 − 6 × 10?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 14 − 14 ÷ 9?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 15 × 12 − 18?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 2 − 3 × 5?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 6 + 2 ÷ 14?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 16 × 14 ÷ 8?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 18 − 15 ÷ 11?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 19 ÷ 18 + 16?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 5 ÷ 9 + 15?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 11 + 19 − 4?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 7 + 13 × 7?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 6 + 2 ÷ 3?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 20 − 4 ÷ 15?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 10 ÷ 17 + 5?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 3 × 7 + 8?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 3 + 6 ÷ 20?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 16 − 20 ÷ 2?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 12 ÷ 2 + 12?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 20 × 20 − 16?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 15 + 18 − 3?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 2 ÷ 18 × 4?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 4 − 2 + 3?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 17 + 18 ÷ 19?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 19 − 13 + 5?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 18 − 20 × 20?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 7 ÷ 2 + 16?

Answer key

  1. 9
  2. 118
  3. 81
  4. 384
  5. 5
  6. 67
  7. 102
  8. 193
  9. 71
  10. 49
  11. 33
  12. 25
  13. 28
  14. 70
  15. 46
  16. 0
  17. 205
  18. 16
  19. 10
  20. 166
  21. 264
  22. 40
  23. 74
  24. 172
  25. 98
  26. 12
  27. 35
  28. 171
  29. 53
  30. 17
  31. 66
  32. 16
  33. 20
  34. 114
  35. 17
  36. 2
  37. 298
  38. 312
  39. 38
  40. 33

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