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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 434 · 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 10 ÷ 16 + 13 × 8?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 14 + 8 ÷ 17?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 18 − 13 ÷ 8?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 5 − 16 + 2?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 20 + 5 × 20?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 18 − 12 ÷ 3?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 13 ÷ 20 × 16?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 9 ÷ 12 − 12?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 5 × 5 − 13?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 8 − 2 + 2?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 15 ÷ 15 + 3?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 6 ÷ 17 × 12?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 12 × 3 − 18?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 13 ÷ 11 × 13?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 3 − 2 × 8?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 16 + 14 − 2?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 2 ÷ 9 − 14?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 10 − 6 × 18?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 4 − 7 ÷ 3?
  20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 20 × 16 − 15?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 14 + 7 × 20?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 8 − 13 + 11?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 15 − 9 + 3?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 8 × 13 ÷ 16?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 15 − 7 + 17?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 18 × 20 + 5?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 12 − 6 + 12?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 4 ÷ 8 + 6?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 16 × 15 ÷ 3?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 18 + 7 ÷ 4?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 7 × 8 ÷ 20?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 18 ÷ 5 × 19?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 5 ÷ 3 + 6?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 20 ÷ 6 × 10?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 13 − 13 × 5 ÷ 4?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 12 ÷ 5 − 11?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 10 × 4 − 4?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 4 − 17 ÷ 9?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 20 − 9 + 6?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 16 × 18 − 3?

Answer key

  1. 155
  2. 103
  3. 100
  4. 89
  5. 44
  6. 15
  7. 82
  8. 139
  9. 19
  10. 10
  11. 233
  12. 119
  13. 60
  14. 19
  15. 17
  16. 4
  17. 95
  18. 23
  19. 21
  20. 79
  21. 2
  22. 107
  23. 47
  24. 220
  25. 65
  26. 284
  27. 13
  28. 45
  29. 228
  30. 267
  31. 89
  32. 374
  33. 13
  34. 264
  35. 2
  36. 210
  37. 101
  38. 154
  39. 32
  40. 0

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