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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 106 · 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 8 + 3 − 8 × 2?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 2 − 2 + 2 × 3?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 2 + 14 × 9?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 6 × 15 ÷ 16?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 15 − 7 + 11?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 14 × 6 ÷ 8?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 16 − 17 + 4?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 7 × 15 ÷ 4?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 10 + 8 − 8?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 20 + 2 − 3?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 16 × 16 ÷ 2?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 2 − 12 + 11?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 4 × 18 + 3?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 3 − 4 ÷ 9?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 2 + 10 − 10?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 6 × 17 − 16?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 8 − 5 ÷ 20?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 14 + 9 ÷ 8?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 6 − 6 × 19?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 7 + 6 ÷ 15?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 5 × 4 ÷ 15?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 2 − 10 × 4?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 6 × 17 ÷ 11?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 13 ÷ 11 × 20?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 2 − 8 + 3?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 10 ÷ 16 × 18?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 2 ÷ 9 × 5?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 18 × 18 ÷ 18?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 11 ÷ 8 × 3?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 8 ÷ 2 × 10?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 8 − 18 + 19?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 9 − 18 × 3?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 11 × 2 + 19?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 15 − 2 + 15?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 3 ÷ 20 × 11?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 11 + 18 − 17?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 4 ÷ 6 − 14?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 17 ÷ 12 × 12?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 15 − 6 + 13?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 14 ÷ 8 × 20?

Answer key

  1. 5
  2. 5
  3. 23
  4. 247
  5. 67
  6. 138
  7. 79
  8. 115
  9. 9
  10. 33
  11. 14
  12. 37
  13. 27
  14. 50
  15. 7
  16. 273
  17. 41
  18. 209
  19. 0
  20. 107
  21. 9
  22. 4
  23. 78
  24. 269
  25. 13
  26. 158
  27. 22
  28. 27
  29. 126
  30. 16
  31. 111
  32. 73
  33. 37
  34. 29
  35. 39
  36. 87
  37. 2
  38. 203
  39. 37
  40. 240

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