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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 159 · 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 2 + 2 × 3 ÷ 16?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 19 × 7 ÷ 11?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 3 × 2 + 2?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 11 − 20 + 16?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 14 × 11 ÷ 13?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 2 ÷ 14 + 16?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 14 + 8 × 8?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 10 ÷ 2 + 7?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 20 + 10 ÷ 3?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 11 ÷ 5 − 5?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 7 ÷ 5 + 17?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 11 + 2 − 6?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 4 + 17 − 4?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 13 ÷ 15 − 17?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 4 ÷ 8 − 13?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 15 × 18 + 6?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 6 × 15 ÷ 3?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 15 − 4 + 3?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 4 ÷ 13 × 18?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 10 + 8 ÷ 5?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 5 − 5 + 2?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 10 − 5 × 7?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 2 − 10 + 19?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 16 ÷ 12 − 16?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 18 + 7 − 18?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 10 − 2 + 11?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 16 − 4 ÷ 16?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 9 + 9 − 7?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 2 ÷ 12 + 8?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 2 − 5 ÷ 20?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 13 − 12 ÷ 15?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 12 + 6 − 3?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 20 ÷ 11 + 2?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 7 − 18 × 2?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 3 ÷ 17 × 17?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 14 − 12 + 6?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 9 − 3 + 8?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 19 + 15 × 2?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 2 × 6 ÷ 7?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 17 − 2 + 17?

Answer key

  1. 14
  2. 384
  3. 3
  4. 211
  5. 68
  6. 6
  7. 28
  8. 23
  9. 18
  10. 4
  11. 38
  12. 19
  13. 1
  14. 261
  15. 104
  16. 177
  17. 114
  18. 5
  19. 33
  20. 3
  21. 17
  22. 23
  23. 199
  24. 187
  25. 0
  26. 14
  27. 22
  28. 9
  29. 14
  30. 105
  31. 179
  32. 27
  33. 309
  34. 51
  35. 5
  36. 48
  37. 11
  38. 288
  39. 3
  40. 13

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