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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 913 · 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 10 + 19 ÷ 15 − 3?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 15 × 2 − 18?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 18 ÷ 6 − 19?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 4 × 17 ÷ 17?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 2 × 18 ÷ 10?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 16 − 6 ÷ 2?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 6 × 20 ÷ 9?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 10 ÷ 11 + 10?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 5 × 17 ÷ 15?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 7 + 9 ÷ 9?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 12 + 9 × 9?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 15 × 3 + 8?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 7 + 3 ÷ 5?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 3 − 20 × 18?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 7 ÷ 2 × 11?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 15 ÷ 6 × 5?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 6 − 20 × 18?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 6 − 8 × 2?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 6 − 2 × 12?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 3 − 19 + 18?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 2 ÷ 10 × 7?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 7 − 2 + 16?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 15 × 2 ÷ 12?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 9 + 6 ÷ 10?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 11 − 20 ÷ 7?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 8 × 7 − 12?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 2 × 9 − 3?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 2 × 13 + 6?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 17 − 20 + 16?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 6 + 16 − 14?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 10 ÷ 6 + 3?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 11 − 10 × 7?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 9 − 9 ÷ 19?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 7 − 3 × 7?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 9 − 15 + 18?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 18 − 11 × 6?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 19 + 2 ÷ 5?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 9 + 7 × 11?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 17 × 16 ÷ 10?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 4 + 3 × 5?

Answer key

  1. 36
  2. 123
  3. 102
  4. 293
  5. 14
  6. 2
  7. 185
  8. 111
  9. 93
  10. 59
  11. 16
  12. 37
  13. 16
  14. 20
  15. 12
  16. 271
  17. 110
  18. 4
  19. 15
  20. 51
  21. 20
  22. 5
  23. 24
  24. 14
  25. 144
  26. 85
  27. 8
  28. 27
  29. 344
  30. 106
  31. 18
  32. 102
  33. 28
  34. 26
  35. 279
  36. 59
  37. 345
  38. 25
  39. 193
  40. 21

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