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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 286 · 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 5 × 5 − 20 + 10?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 12 + 5 ÷ 4?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 13 ÷ 9 + 14?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 19 − 14 + 2?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 2 × 4 ÷ 16?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 14 ÷ 9 + 14?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 2 + 18 − 12?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 7 ÷ 16 − 16?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 9 × 9 + 9?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 6 ÷ 10 + 12?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 5 ÷ 15 − 6?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 16 + 20 − 5?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 20 + 5 − 4?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 6 − 16 + 3?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 9 × 14 ÷ 5?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 5 + 20 − 5?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 12 − 8 × 16?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 3 × 18 ÷ 19?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 2 ÷ 2 + 2?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 7 + 14 ÷ 8?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 3 × 20 − 5?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 8 − 4 ÷ 15?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 17 × 5 ÷ 5?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 3 × 3 + 20?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 12 × 3 + 17?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 18 − 18 ÷ 8?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 3 × 16 ÷ 5?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 9 − 2 ÷ 19?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 6 + 12 − 4?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 11 + 5 ÷ 4?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 14 × 19 ÷ 3?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 14 ÷ 11 × 11?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 3 × 16 ÷ 4?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 13 + 6 ÷ 5?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 6 ÷ 15 + 9?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 2 × 2 − 20?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 2 ÷ 3 + 5?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 16 − 4 ÷ 16?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 12 × 12 ÷ 9?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 7 − 3 × 20?

Answer key

  1. 11
  2. 63
  3. 138
  4. 159
  5. 14
  6. 123
  7. 15
  8. 7
  9. 85
  10. 124
  11. 99
  12. 69
  13. 25
  14. 50
  15. 153
  16. 25
  17. 28
  18. 55
  19. 8
  20. 113
  21. 18
  22. 20
  23. 51
  24. 37
  25. 5
  26. 20
  27. 82
  28. 26
  29. 16
  30. 62
  31. 44
  32. 25
  33. 81
  34. 86
  35. 147
  36. 46
  37. 3
  38. 60
  39. 29
  40. 1

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