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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 61 · 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 4 − 11 + 4 × 19?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 3 + 5 ÷ 8?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 20 ÷ 7 + 20?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 19 ÷ 18 + 5?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 2 ÷ 16 + 16?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 11 × 5 ÷ 15?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 15 × 2 ÷ 17?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 7 + 2 − 7?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 15 + 4 ÷ 6?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 12 + 3 × 10?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 14 × 9 − 9?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 15 × 18 ÷ 7?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 × 2 − 17 + 6?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 6 × 18 + 6?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 2 ÷ 12 × 4?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 14 + 16 × 4?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 10 + 18 ÷ 5?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 4 × 2 − 13?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 4 + 12 × 5?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 5 − 4 + 4?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 7 × 4 − 14?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 7 ÷ 11 × 8?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 16 ÷ 10 − 5?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 15 × 8 ÷ 6?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 × 11 − 5?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 7 − 10 × 10?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 2 + 5 − 8?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 4 − 2 ÷ 6?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 4 − 12 + 12?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 16 + 19 × 2?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 15 − 3 ÷ 10?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 4 ÷ 18 + 14?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 9 − 3 × 5?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 × 5 ÷ 9?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 2 − 14 ÷ 3?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 11 × 20 + 20?
  37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 9 − 6 × 6?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 6 − 18 + 12?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 13 − 4 ÷ 5?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 2 − 2 + 11?

Answer key

  1. 30
  2. 9
  3. 125
  4. 340
  5. 2
  6. 65
  7. 90
  8. 47
  9. 72
  10. 58
  11. 20
  12. 266
  13. 107
  14. 10
  15. 19
  16. 21
  17. 177
  18. 29
  19. 59
  20. 9
  21. 73
  22. 71
  23. 270
  24. 53
  25. 62
  26. 22
  27. 17
  28. 23
  29. 15
  30. 316
  31. 52
  32. 58
  33. 23
  34. 14
  35. 43
  36. 56
  37. 19
  38. 222
  39. 26
  40. 25

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