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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 91 · 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 20 ÷ 4 × 2 − 19?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 20 + 17 − 12?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 12 − 2 + 5?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 6 ÷ 18 − 14?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 5 + 12 − 6?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 17 − 17 × 8?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 8 × 11 ÷ 7?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 17 × 17 ÷ 18?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 19 − 16 ÷ 2?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 6 ÷ 4 + 14?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 5 ÷ 4 + 6?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 6 − 2 ÷ 3?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 14 × 6 − 6?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 15 × 14 − 10?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 8 × 2 − 16?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 16 + 2 − 9?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 15 × 18 − 15?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 12 + 2 − 14?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 10 × 3 + 14?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 2 × 18 ÷ 18?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 9 ÷ 11 + 20?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 2 + 2 − 19 × 15?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 5 ÷ 3 × 6?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 6 − 16 ÷ 19?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 5 ÷ 2 + 9?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 3 − 5 ÷ 4?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 2 ÷ 13 × 7?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 3 × 20 + 4?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 14 × 2 − 8?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 9 ÷ 13 × 10?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 2 − 10 + 17?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 7 + 14 × 2?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 6 + 3 × 12?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 9 ÷ 18 × 2?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 2 − 15 ÷ 8?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 12 − 6 ÷ 20?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 20 × 5 ÷ 17?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 4 + 2 − 3?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 14 × 18 + 5?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 12 + 16 × 2?

Answer key

  1. 54
  2. 35
  3. 23
  4. 92
  5. 1
  6. 286
  7. 108
  8. 341
  9. 20
  10. 63
  11. 24
  12. 6
  13. 3
  14. 134
  15. 42
  16. 81
  17. 192
  18. 98
  19. 189
  20. 40
  21. 227
  22. 4
  23. 98
  24. 51
  25. 6
  26. 58
  27. 16
  28. 9
  29. 258
  30. 39
  31. 177
  32. 98
  33. 22
  34. 72
  35. 35
  36. 0
  37. 82
  38. 25
  39. 82
  40. 103

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