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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 953 · 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 × 3 ÷ 19 − 4?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 12 − 18 × 6?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 13 + 3 ÷ 5?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 9 + 14 × 2?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 2 − 17 ÷ 17?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 20 − 17 + 17?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 4 − 10 + 5?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 9 + 12 × 2?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 14 ÷ 9 + 13?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 18 ÷ 8 × 16?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 2 − 10 ÷ 11?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 16 ÷ 17 × 11?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 13 × 19 ÷ 14?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 17 × 11 ÷ 2?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 7 ÷ 9 + 6?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 4 × 18 − 2?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 18 − 7 + 7?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 7 − 16 + 16?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 19 − 19 × 19?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 13 × 10 ÷ 17?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 6 ÷ 16 + 8?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 4 ÷ 5 − 12?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 15 × 18 − 15?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 4 × 4 ÷ 6?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 12 × 7 + 11?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 18 + 19 ÷ 10?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 2 ÷ 2 − 2?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 3 + 4 ÷ 13?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 9 × 7 ÷ 4?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 15 ÷ 8 + 16?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 18 ÷ 4 + 18?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 17 − 2 × 9?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 11 × 14 + 2?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 19 − 17 + 8?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 18 × 8 ÷ 5?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 4 + 5 − 17?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 5 × 12 − 12?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 20 ÷ 20 × 2?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 2 − 2 + 20?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 19 − 19 × 4?

Answer key

  1. 76
  2. 6
  3. 54
  4. 127
  5. 31
  6. 27
  7. 10
  8. 121
  9. 125
  10. 62
  11. 19
  12. 198
  13. 57
  14. 281
  15. 64
  16. 21
  17. 45
  18. 99
  19. 23
  20. 169
  21. 129
  22. 83
  23. 192
  24. 78
  25. 69
  26. 339
  27. 17
  28. 57
  29. 30
  30. 129
  31. 17
  32. 43
  33. 136
  34. 370
  35. 57
  36. 13
  37. 3
  38. 22
  39. 41
  40. 2

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