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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 426 · 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 + 20 ÷ 13 × 8?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 20 × 8 + 2?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 3 − 2 ÷ 5?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 7 × 10 ÷ 11?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 9 ÷ 8 + 15?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 6 + 5 − 2?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 10 ÷ 12 − 13?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 4 × 3 ÷ 16?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 7 + 7 − 11 × 10?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 12 + 2 − 20?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 9 ÷ 20 − 10?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 17 × 11 ÷ 10?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 15 − 11 ÷ 3?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 6 ÷ 20 + 10?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 15 − 4 + 5?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 4 − 4 × 15?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 18 ÷ 2 × 2?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 16 × 12 ÷ 14?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 5 ÷ 5 − 5?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 7 × 5 ÷ 9?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 17 − 18 × 2?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 5 × 17 ÷ 15?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 6 − 6 ÷ 18?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 8 + 11 ÷ 6?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 12 ÷ 15 × 3?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 4 ÷ 2 − 10?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 18 − 14 × 6?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 6 ÷ 16 + 6?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 15 × 18 + 6?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 17 ÷ 4 − 2?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 13 × 13 ÷ 2?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 17 + 4 − 3?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 × 4 − 8?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 10 − 15 × 12?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 5 ÷ 9 + 7?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 18 ÷ 15 + 4?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 15 ÷ 12 + 7?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 3 − 6 + 18?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 7 ÷ 12 + 17?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 3 × 2 + 4?

Answer key

  1. 205
  2. 28
  3. 11
  4. 92
  5. 137
  6. 105
  7. 148
  8. 37
  9. 1
  10. 126
  11. 35
  12. 35
  13. 20
  14. 7
  15. 26
  16. 1
  17. 270
  18. 226
  19. 23
  20. 101
  21. 356
  22. 62
  23. 90
  24. 139
  25. 19
  26. 19
  27. 116
  28. 100
  29. 26
  30. 21
  31. 180
  32. 10
  33. 7
  34. 142
  35. 47
  36. 44
  37. 193
  38. 48
  39. 213
  40. 8

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