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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 473 · 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 15 + 8 − 10 × 6?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 20 + 15 − 13?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 18 ÷ 6 + 8?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 12 ÷ 14 − 2?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 6 ÷ 12 × 2?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 6 + 17 ÷ 5?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 11 − 10 ÷ 14?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 16 × 9 + 9?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 9 − 10 + 11?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 5 + 5 ÷ 4?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 15 + 11 × 11?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 6 − 18 × 7?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 8 − 6 + 14?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 2 × 9 + 9?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 14 − 20 + 5?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 18 ÷ 15 − 5?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 13 ÷ 4 − 18?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 13 + 13 − 10 × 20?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 9 − 9 × 18?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 17 + 11 − 12?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 2 + 6 ÷ 11?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 17 × 13 ÷ 5?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 19 ÷ 11 × 7?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 7 ÷ 19 × 2?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 11 − 13 ÷ 13?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 17 − 2 + 15?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 9 − 3 ÷ 14?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 11 ÷ 19 + 5?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 15 ÷ 20 + 11?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 15 ÷ 12 × 10?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 12 ÷ 12 × 10?
  32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 12 − 2 × 15?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 × 8 ÷ 11?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 8 × 20 + 7?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 7 × 14 + 10?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 2 × 16 + 4?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 18 + 3 × 9?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 2 − 17 + 19?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 8 ÷ 8 − 4?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 6 + 11 ÷ 9?

Answer key

  1. 6
  2. 25
  3. 232
  4. 48
  5. 22
  6. 54
  7. 138
  8. 239
  9. 83
  10. 12
  11. 194
  12. 117
  13. 88
  14. 5
  15. 2
  16. 67
  17. 68
  18. 30
  19. 37
  20. 273
  21. 14
  22. 65
  23. 212
  24. 109
  25. 99
  26. 140
  27. 19
  28. 36
  29. 307
  30. 302
  31. 178
  32. 29
  33. 0
  34. 165
  35. 135
  36. 15
  37. 39
  38. 325
  39. 42
  40. 67

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