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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 985 · 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 19 − 18 ÷ 10 × 3?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 2 − 3 × 17?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 8 × 8 + 18?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 4 − 2 × 16?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 18 ÷ 6 × 13?
  6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 7 − 10 ÷ 17?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 14 + 2 ÷ 13?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 2 × 4 ÷ 7?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 3 + 6 × 11?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 13 × 10 ÷ 5?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 12 ÷ 2 − 12?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 6 ÷ 9 + 2?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 3 ÷ 10 + 4?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 8 + 20 × 13?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 15 + 17 × 4?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 15 ÷ 9 + 18?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 6 − 9 + 18?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 8 − 14 ÷ 3?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 16 ÷ 20 + 13?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 3 ÷ 4 × 17?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 15 × 2 ÷ 2?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 13 − 12 × 6?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 14 ÷ 10 − 3?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 19 ÷ 7 − 12?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 6 − 6 × 3?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 5 + 7 − 7?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 15 ÷ 17 + 6?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 13 ÷ 19 − 3?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 20 × 3 ÷ 18?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 11 ÷ 3 × 3?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 9 − 3 + 8?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 4 + 14 ÷ 11?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 3 × 12 ÷ 19?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 6 ÷ 12 + 18?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 19 + 3 × 19?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 6 + 10 ÷ 6?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 8 × 7 − 11?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 9 − 18 ÷ 12?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 8 × 19 ÷ 20?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 19 − 7 + 13?

Answer key

  1. 196
  2. 16
  3. 24
  4. 4
  5. 115
  6. 173
  7. 249
  8. 37
  9. 12
  10. 265
  11. 6
  12. 16
  13. 8
  14. 157
  15. 32
  16. 157
  17. 39
  18. 43
  19. 264
  20. 12
  21. 0
  22. 0
  23. 175
  24. 81
  25. 5
  26. 25
  27. 251
  28. 244
  29. 36
  30. 4
  31. 29
  32. 49
  33. 9
  34. 24
  35. 56
  36. 38
  37. 80
  38. 159
  39. 113
  40. 6

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