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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 777 · 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 + 9 − 9 ÷ 20?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 14 ÷ 10 + 11?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 19 − 8 × 4?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 5 − 2 + 9?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 9 ÷ 13 + 3?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 20 ÷ 12 − 3?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 6 + 15 × 2?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 4 ÷ 9 × 3?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 7 × 7 + 20?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 10 × 3 ÷ 15?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 2 ÷ 9 + 10?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 2 ÷ 13 × 7?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 12 + 2 ÷ 7?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 17 × 19 − 6?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 19 × 4 ÷ 14?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 3 ÷ 7 − 16?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 18 + 6 − 4?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 6 − 12 + 4?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 20 × 10 ÷ 6?
  20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 16 × 17 − 9?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 12 − 14 × 13?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 16 ÷ 14 + 8?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 13 ÷ 2 × 2?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 8 − 8 ÷ 11?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 11 − 11 × 3 + 16?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 15 × 9 + 3?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 6 + 6 ÷ 15?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 12 × 4 ÷ 14?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 17 × 17 ÷ 3?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 20 − 10 ÷ 15?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 5 × 3 − 12?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 20 × 2 − 2?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 18 + 6 ÷ 11?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 12 + 19 × 10?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 20 + 5 ÷ 5?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 4 + 5 × 2?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 3 ÷ 2 × 13?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 14 − 2 ÷ 10?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 7 − 8 × 11?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 18 ÷ 19 + 11?

Answer key

  1. 79
  2. 251
  3. 287
  4. 19
  5. 37
  6. 23
  7. 4
  8. 39
  9. 92
  10. 47
  11. 5
  12. 34
  13. 0
  14. 23
  15. 67
  16. 63
  17. 12
  18. 29
  19. 64
  20. 264
  21. 205
  22. 103
  23. 39
  24. 24
  25. 49
  26. 171
  27. 29
  28. 44
  29. 139
  30. 150
  31. 44
  32. 259
  33. 347
  34. 171
  35. 18
  36. 29
  37. 7
  38. 73
  39. 62
  40. 134

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