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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 45 · 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 17 − 14 × 14 + 2?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 5 + 5 − 17?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 3 − 5 ÷ 19?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 10 − 3 × 6?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 5 × 8 − 8?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 18 × 8 ÷ 4?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 ÷ 19 × 18?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 3 + 18 × 18?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 12 − 4 × 16?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 14 − 2 + 14?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 7 − 16 + 18?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 2 + 18 × 8?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 3 ÷ 4 × 6?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 4 ÷ 15 × 9?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 16 + 19 ÷ 10?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 8 × 3 + 2?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 5 × 14 ÷ 19?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 9 + 3 − 20?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 7 + 6 × 18?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 2 ÷ 20 − 2?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 4 × 14 ÷ 5?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 2 − 10 ÷ 18?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 18 ÷ 18 + 2?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 20 × 20 − 3?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 12 ÷ 19 − 19?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 9 ÷ 10 × 20?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 × 2 ÷ 11?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 12 − 2 + 19?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 15 × 4 − 9?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 6 + 6 − 9?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 19 ÷ 11 + 17?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 15 − 15 × 13?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 15 ÷ 3 + 4?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 12 ÷ 3 − 2?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 17 × 3 ÷ 8?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 10 ÷ 14 − 10?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 4 + 12 − 4?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 13 ÷ 19 − 15?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 18 ÷ 3 × 18?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 13 + 5 ÷ 19?

Answer key

  1. 245
  2. 25
  3. 7
  4. 14
  5. 85
  6. 24
  7. 39
  8. 5
  9. 49
  10. 14
  11. 296
  12. 37
  13. 15
  14. 22
  15. 305
  16. 17
  17. 70
  18. 9
  19. 40
  20. 55
  21. 7
  22. 3
  23. 16
  24. 12
  25. 145
  26. 77
  27. 19
  28. 0
  29. 41
  30. 24
  31. 205
  32. 62
  33. 119
  34. 3
  35. 26
  36. 143
  37. 17
  38. 277
  39. 47
  40. 54

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