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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 250 · 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 × 6 + 12 − 12?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 15 − 14 ÷ 19?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 16 − 15 × 12?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 16 + 20 − 2?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 6 ÷ 5 × 4?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 12 ÷ 6 + 3?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 16 + 3 − 6?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 3 − 5 ÷ 8?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 13 ÷ 10 + 16?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 6 − 11 ÷ 10?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 10 ÷ 3 × 2?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 5 + 13 − 5?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 19 + 6 ÷ 17?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 9 ÷ 7 + 6?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 3 × 14 − 18?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 14 + 17 ÷ 12?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 7 + 15 ÷ 2?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 6 × 11 + 12?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 16 − 3 + 7?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 6 ÷ 18 + 4?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 11 − 20 ÷ 11?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 14 + 18 × 6?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 2 ÷ 5 − 17?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 4 + 2 ÷ 5?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 17 ÷ 12 + 4?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 2 − 14 × 5?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 17 ÷ 11 × 7?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 5 ÷ 15 × 15?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 16 + 2 ÷ 8?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 6 − 16 × 12?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 4 ÷ 17 + 15?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 3 + 5 × 7?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 15 − 9 + 19?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 7 ÷ 11 × 15?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 10 ÷ 14 + 10?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 10 ÷ 13 × 3?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 3 + 15 × 3?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 9 − 16 ÷ 7?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 11 ÷ 2 − 19?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 17 × 4 ÷ 2?

Answer key

  1. 21
  2. 270
  3. 31
  4. 15
  5. 2
  6. 147
  7. 11
  8. 44
  9. 157
  10. 49
  11. 141
  12. 19
  13. 101
  14. 38
  15. 61
  16. 228
  17. 111
  18. 17
  19. 300
  20. 115
  21. 216
  22. 58
  23. 85
  24. 3
  25. 67
  26. 33
  27. 81
  28. 10
  29. 80
  30. 118
  31. 67
  32. 8
  33. 129
  34. 122
  35. 31
  36. 30
  37. 55
  38. 25
  39. 17
  40. 287

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