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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 859 · 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 − 4 + 11 ÷ 18?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 3 × 14 + 7?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 4 − 10 + 20?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 20 × 11 + 11?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 17 ÷ 19 × 4?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 20 − 16 ÷ 16?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 4 − 4 + 4?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 17 + 6 ÷ 2?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 20 − 10 × 12?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 14 ÷ 19 − 6?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 11 − 16 ÷ 10?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 14 ÷ 18 − 19?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 10 ÷ 6 × 12?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 15 × 12 + 15?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 6 − 14 × 6?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 5 × 12 − 3?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 10 − 2 ÷ 15?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 15 ÷ 2 × 7?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 15 + 9 − 5?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 10 + 10 × 2?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 10 + 19 ÷ 8?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 8 × 5 − 9?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 13 ÷ 9 × 10?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 20 × 5 ÷ 7?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 5 × 9 − 16?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 2 ÷ 17 − 10?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 9 ÷ 11 × 8?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 20 + 4 − 20?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 15 × 3 + 11?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 11 ÷ 10 × 6?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 7 × 10 − 14?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 7 × 7 − 18?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 20 − 5 × 20?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 9 − 14 + 7?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 12 − 18 ÷ 15?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 3 − 4 + 2?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 14 ÷ 3 × 15?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 4 − 2 × 10?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 9 + 15 − 5?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 2 × 2 − 2?

Answer key

  1. 15
  2. 11
  3. 11
  4. 104
  5. 83
  6. 249
  7. 18
  8. 11
  9. 338
  10. 103
  11. 159
  12. 332
  13. 46
  14. 168
  15. 86
  16. 86
  17. 25
  18. 190
  19. 296
  20. 17
  21. 18
  22. 57
  23. 248
  24. 4
  25. 77
  26. 172
  27. 102
  28. 10
  29. 71
  30. 18
  31. 53
  32. 134
  33. 34
  34. 20
  35. 264
  36. 10
  37. 45
  38. 28
  39. 44
  40. 12

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