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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 415 · 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 × 9 − 19 ÷ 5?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 4 ÷ 15 + 2?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 7 × 10 + 9?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 3 × 5 − 11?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 15 ÷ 7 × 6?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 15 − 6 ÷ 14?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 4 ÷ 16 × 3?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 2 ÷ 16 × 16?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 18 − 17 + 17?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 18 − 5 × 14?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 10 − 2 + 13?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 15 ÷ 13 − 5?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 4 + 4 − 4?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 3 − 3 × 8?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 12 ÷ 16 + 2?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 18 − 3 × 11?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 4 × 10 − 5?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 7 × 16 + 17?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 7 × 11 ÷ 10?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 5 × 5 ÷ 2?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 20 ÷ 9 + 8?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 3 × 3 − 4?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 13 − 2 × 2?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 4 × 5 − 9?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 20 − 9 + 3?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 7 + 3 ÷ 2?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 2 + 6 − 4?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 20 + 12 × 16?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 7 + 18 × 7?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 6 + 6 − 12?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 10 ÷ 3 × 14?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 2 × 3 − 2?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 7 ÷ 4 × 19?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 16 × 16 + 17?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 3 ÷ 15 − 9?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 17 × 20 − 6?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 6 − 18 × 7?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 10 + 7 × 10?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 13 − 19 ÷ 4?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 18 × 9 ÷ 8?

Answer key

  1. 168
  2. 68
  3. 127
  4. 66
  5. 226
  6. 37
  7. 29
  8. 2
  9. 252
  10. 27
  11. 78
  12. 56
  13. 17
  14. 18
  15. 1
  16. 97
  17. 11
  18. 278
  19. 85
  20. 17
  21. 341
  22. 58
  23. 31
  24. 43
  25. 64
  26. 23
  27. 1
  28. 44
  29. 73
  30. 21
  31. 2
  32. 21
  33. 50
  34. 159
  35. 45
  36. 122
  37. 29
  38. 20
  39. 253
  40. 14

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