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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 191 · 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 3 + 11 ÷ 3 × 3?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 2 × 8 ÷ 3?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 2 + 9 × 12?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 19 ÷ 17 × 17?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 × 2 − 9 + 7?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 20 ÷ 4 × 8?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 20 ÷ 8 + 4?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 20 − 4 + 20?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 4 + 10 ÷ 14?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 3 − 12 + 3?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 18 ÷ 14 + 3?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 16 − 10 ÷ 13?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 16 − 2 ÷ 4?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 10 − 18 × 16?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 8 ÷ 3 − 9?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 15 × 5 − 2?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 20 ÷ 11 − 20?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 11 − 2 + 16?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 19 ÷ 9 + 18?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 5 × 19 + 15?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 14 − 9 + 2?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 11 ÷ 3 − 10?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 15 + 3 × 3?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 9 − 16 ÷ 8?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 17 × 17 − 6?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 5 ÷ 16 × 6?
  27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 2 − 7 ÷ 14?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 9 ÷ 19 − 12?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 3 − 9 × 6?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 10 + 9 − 20?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 3 × 8 + 4?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 14 − 20 + 5?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 15 × 12 − 2?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 3 + 4 ÷ 9?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 14 + 2 ÷ 7?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 17 − 7 + 18?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 4 ÷ 16 − 20?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 8 − 2 ÷ 17?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 17 − 6 × 10?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 8 − 11 + 20?

Answer key

  1. 33
  2. 11
  3. 6
  4. 38
  5. 3
  6. 356
  7. 171
  8. 70
  9. 44
  10. 23
  11. 88
  12. 132
  13. 8
  14. 172
  15. 62
  16. 6
  17. 13
  18. 6
  19. 124
  20. 282
  21. 130
  22. 22
  23. 7
  24. 179
  25. 9
  26. 25
  27. 101
  28. 223
  29. 33
  30. 40
  31. 21
  32. 70
  33. 14
  34. 18
  35. 59
  36. 112
  37. 331
  38. 7
  39. 108
  40. 72

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