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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 689 · 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 18 + 6 ÷ 5 × 15?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 15 ÷ 5 × 9?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 3 + 2 × 10?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 15 × 16 − 4?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 9 − 5 + 11?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 10 − 6 ÷ 7?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 11 + 5 × 14?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 5 ÷ 4 + 11?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 2 × 5 + 5?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 12 + 4 × 10?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 3 ÷ 18 × 20?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 9 − 15 ÷ 11?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 8 × 8 − 8?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 7 − 2 ÷ 7?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 20 × 10 ÷ 12?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 4 + 14 ÷ 9?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 5 ÷ 3 × 19?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 4 + 19 × 19?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 11 − 18 ÷ 19?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 12 + 2 ÷ 9?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 15 + 6 − 16?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 19 × 19 ÷ 7?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 3 ÷ 10 − 18?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 14 + 11 ÷ 13?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 13 ÷ 3 + 3?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 18 × 3 ÷ 9?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 7 − 9 + 5?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 7 × 11 ÷ 19?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 3 − 13 + 19?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 16 − 2 ÷ 4?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 8 ÷ 12 × 2?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 8 − 17 + 17?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 2 ÷ 7 × 15?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 6 ÷ 15 × 15?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 6 ÷ 18 + 2?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 18 + 15 × 4?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 14 × 15 ÷ 18?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 10 − 14 + 2?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 2 × 9 ÷ 9?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 16 ÷ 11 − 3?

Answer key

  1. 13
  2. 251
  3. 3
  4. 15
  5. 61
  6. 69
  7. 97
  8. 11
  9. 16
  10. 34
  11. 44
  12. 67
  13. 14
  14. 6
  15. 238
  16. 64
  17. 31
  18. 4
  19. 199
  20. 7
  21. 100
  22. 24
  23. 184
  24. 282
  25. 13
  26. 24
  27. 57
  28. 71
  29. 27
  30. 19
  31. 74
  32. 134
  33. 4
  34. 12
  35. 112
  36. 22
  37. 213
  38. 62
  39. 30
  40. 36

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