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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 726 · 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 2 − 14 + 2 × 8?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 4 + 15 × 5?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 19 ÷ 9 × 20?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 4 ÷ 4 − 3?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 13 − 2 + 7?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 17 × 13 ÷ 10?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 3 − 3 + 2?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 5 + 5 − 2?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 6 ÷ 17 − 10?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 8 ÷ 12 × 4?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 6 + 8 × 7?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 20 × 6 ÷ 3?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 3 × 11 − 11?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 5 + 4 − 5?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 7 × 9 + 19?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 3 × 5 ÷ 12?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 2 − 16 + 13?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 5 − 2 × 2?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 10 − 17 + 19?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 10 ÷ 10 × 11?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 3 − 7 × 14?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 3 × 4 ÷ 8?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 16 − 9 × 12?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 14 ÷ 14 + 4?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 12 ÷ 2 − 3?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 9 ÷ 19 × 3?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 10 × 2 + 13?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 2 × 3 − 3?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 3 × 12 ÷ 19?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 10 × 20 − 5?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 8 × 4 ÷ 10?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 6 ÷ 8 × 4?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 18 + 14 − 7?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 4 × 6 − 12?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 2 ÷ 4 − 2?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 8 + 17 × 4?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 6 ÷ 19 + 6?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 5 + 11 − 11?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 15 × 5 + 5?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 6 − 18 × 2?

Answer key

  1. 22
  2. 3
  3. 163
  4. 9
  5. 7
  6. 224
  7. 10
  8. 18
  9. 170
  10. 88
  11. 60
  12. 317
  13. 5
  14. 7
  15. 182
  16. 23
  17. 25
  18. 3
  19. 157
  20. 81
  21. 21
  22. 33
  23. 20
  24. 49
  25. 8
  26. 65
  27. 72
  28. 4
  29. 52
  30. 54
  31. 10
  32. 60
  33. 56
  34. 14
  35. 10
  36. 147
  37. 22
  38. 85
  39. 25
  40. 125

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