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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 266 · 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 16 × 19 + 19 ÷ 16?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 10 − 5 × 6?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 5 ÷ 12 × 5?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 3 × 18 − 18?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 2 × 10 ÷ 3?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 11 − 3 ÷ 12?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 18 + 3 × 6?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 9 + 6 ÷ 9?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 + 10 ÷ 8?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 13 + 13 × 8 − 18?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 11 × 11 − 8?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 4 ÷ 16 − 20?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 19 × 18 ÷ 2?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 2 ÷ 6 × 10?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 5 − 5 ÷ 2 × 4?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 18 ÷ 14 + 6?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 2 ÷ 5 + 8?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 × 5 + 18 ÷ 12?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 19 − 3 ÷ 10?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 14 + 5 × 13?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 14 − 14 × 16?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 15 + 7 − 3?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 2 − 4 ÷ 14?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 10 − 12 ÷ 4?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 13 ÷ 2 + 11?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 5 + 18 ÷ 15?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 4 × 13 + 7?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 16 × 10 + 10?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 14 × 13 − 8?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 2 ÷ 3 − 14?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 20 − 20 + 4?
  32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 2 + 4 ÷ 11?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 6 + 12 × 16?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 7 − 17 ÷ 13?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 15 − 6 ÷ 17?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 3 ÷ 6 − 8?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 8 × 4 + 8?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 5 ÷ 4 − 4?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 13 − 8 × 3?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 14 + 3 × 3?

Answer key

  1. 361
  2. 44
  3. 19
  4. 25
  5. 27
  6. 34
  7. 48
  8. 59
  9. 78
  10. 145
  11. 14
  12. 6
  13. 33
  14. 16
  15. 6
  16. 314
  17. 14
  18. 6
  19. 105
  20. 92
  21. 22
  22. 116
  23. 69
  24. 41
  25. 27
  26. 7
  27. 54
  28. 207
  29. 51
  30. 56
  31. 102
  32. 13
  33. 63
  34. 223
  35. 139
  36. 9
  37. 32
  38. 3
  39. 103
  40. 251

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