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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 895 · 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 15 ÷ 4 + 5 − 10?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 2 ÷ 15 − 14?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 9 − 2 ÷ 10?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 18 × 16 ÷ 8?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 13 ÷ 15 × 13?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 5 + 8 − 2?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 × 5 − 16?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 18 + 20 − 3?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 8 + 15 × 13?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 × 19 − 10?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 4 ÷ 4 × 15?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 16 + 2 × 3?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 18 − 10 ÷ 5?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 6 + 18 − 12?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 16 + 16 − 8?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 13 ÷ 10 − 20?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 5 ÷ 10 × 9?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 12 ÷ 4 − 3?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 4 − 10 × 5?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 3 − 18 × 2?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 2 ÷ 14 − 18?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 11 × 12 ÷ 7?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 7 + 7 − 8?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 12 ÷ 20 × 8?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 7 ÷ 16 + 2?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 19 − 11 × 14?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 17 ÷ 5 − 15?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 6 ÷ 8 × 14?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 3 + 10 − 15?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 8 × 3 ÷ 19?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 14 + 14 × 15?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 6 × 13 ÷ 12?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 14 + 2 ÷ 4?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 2 ÷ 12 − 15?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 15 + 5 × 9?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 12 − 3 + 14?
  37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 12 ÷ 9 − 6?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 16 + 16 × 11?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 10 + 2 ÷ 7?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 19 × 8 ÷ 14?

Answer key

  1. 17
  2. 216
  3. 6
  4. 44
  5. 119
  6. 56
  7. 84
  8. 132
  9. 22
  10. 192
  11. 16
  12. 45
  13. 49
  14. 5
  15. 11
  16. 189
  17. 91
  18. 5
  19. 13
  20. 22
  21. 130
  22. 214
  23. 21
  24. 156
  25. 147
  26. 33
  27. 61
  28. 48
  29. 7
  30. 40
  31. 85
  32. 19
  33. 170
  34. 6
  35. 24
  36. 35
  37. 21
  38. 14
  39. 16
  40. 317

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