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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 561 · 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 13 × 19 ÷ 12 + 3?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 6 − 6 × 9?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 12 ÷ 4 + 4?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 19 + 3 − 3?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 6 − 19 ÷ 10?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 10 − 2 + 18?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 7 × 5 − 7?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 6 × 10 − 5?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 19 + 6 − 2?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 8 + 17 ÷ 20?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 13 + 15 ÷ 6?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 15 × 14 ÷ 9?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 16 − 16 + 19?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 6 × 2 − 14?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 16 − 12 × 3?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 5 − 6 ÷ 7?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 3 + 6 × 9?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 13 − 15 ÷ 2?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 6 ÷ 3 + 6?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 2 ÷ 20 × 10?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 8 + 15 × 5?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 8 ÷ 20 + 5?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 16 + 7 − 16?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 5 − 15 ÷ 7?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 11 ÷ 12 + 6?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 11 ÷ 10 − 5?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 13 × 10 ÷ 3?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 18 ÷ 13 + 10?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 11 − 13 ÷ 13?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 4 + 12 × 6?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 4 − 10 ÷ 20?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 7 − 4 × 2?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 8 × 5 ÷ 11?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 8 × 2 ÷ 18?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 17 − 17 × 13?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 4 ÷ 18 × 4?
  37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 3 × 4 − 13?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 18 + 8 − 6?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 17 × 19 − 3?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 7 × 11 ÷ 7?

Answer key

  1. 238
  2. 45
  3. 22
  4. 34
  5. 29
  6. 2
  7. 14
  8. 48
  9. 61
  10. 124
  11. 196
  12. 290
  13. 240
  14. 54
  15. 197
  16. 54
  17. 9
  18. 52
  19. 27
  20. 14
  21. 8
  22. 68
  23. 12
  24. 88
  25. 76
  26. 42
  27. 22
  28. 345
  29. 134
  30. 4
  31. 28
  32. 4
  33. 50
  34. 136
  35. 5
  36. 50
  37. 28
  38. 340
  39. 48
  40. 67

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