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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 843 · 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 14 + 19 ÷ 15 − 3?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 9 ÷ 10 × 16?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 12 + 6 ÷ 2?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 9 − 8 ÷ 5?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 9 − 16 + 8?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 6 + 20 × 20?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 8 + 10 × 17?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 12 × 10 − 2?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 9 + 6 ÷ 6?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 3 − 16 ÷ 17?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 10 + 18 ÷ 14?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 19 × 16 − 4?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 9 + 9 ÷ 2 − 5?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 10 + 5 ÷ 15?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 6 − 13 ÷ 4?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 7 + 8 × 19?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 18 ÷ 3 + 5?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 4 − 20 ÷ 2?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 17 × 11 + 16?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 5 × 6 + 11?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 15 + 17 × 18?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 8 + 16 − 16?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 2 − 16 × 2?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 13 + 17 − 5?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 3 − 7 + 12?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 15 × 10 ÷ 12?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 20 ÷ 20 + 16?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 4 − 9 × 3?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 13 − 18 ÷ 17?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 3 + 5 ÷ 19?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 14 + 8 ÷ 9?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 13 − 13 ÷ 11?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 13 ÷ 10 + 13?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 6 × 7 ÷ 17?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 16 × 15 ÷ 7?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 18 ÷ 11 × 8?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 19 − 2 ÷ 2?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 4 ÷ 8 − 2?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 14 − 11 ÷ 10?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 20 ÷ 4 + 18?

Answer key

  1. 40
  2. 30
  3. 34
  4. 93
  5. 21
  6. 21
  7. 82
  8. 24
  9. 15
  10. 284
  11. 174
  12. 42
  13. 11
  14. 19
  15. 76
  16. 39
  17. 16
  18. 4
  19. 29
  20. 15
  21. 252
  22. 19
  23. 19
  24. 222
  25. 40
  26. 43
  27. 37
  28. 1
  29. 301
  30. 6
  31. 107
  32. 17
  33. 131
  34. 117
  35. 103
  36. 192
  37. 97
  38. 64
  39. 108
  40. 82

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