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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 688 · 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 + 19 × 12 ÷ 6?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 3 − 4 ÷ 11?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 15 − 19 × 8?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 5 − 5 ÷ 8?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 12 + 4 − 8?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 10 ÷ 11 × 13?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 18 − 3 × 4?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 5 ÷ 17 × 10?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 12 ÷ 3 × 19?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 5 + 6 × 18?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 9 − 3 × 2?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 15 × 7 ÷ 15?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 12 ÷ 19 − 16?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 14 × 17 − 18?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 5 × 16 ÷ 5?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 8 − 6 ÷ 3?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 8 − 16 + 2?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 8 + 8 × 5?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 18 − 6 ÷ 15?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 8 ÷ 16 × 14?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 12 + 9 ÷ 5?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 3 ÷ 19 + 6?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 10 − 5 + 4?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 7 ÷ 19 − 17?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 4 − 4 ÷ 5?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 9 ÷ 16 − 14?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 18 ÷ 20 × 6?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 15 ÷ 9 × 8?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 3 ÷ 5 − 8?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 10 ÷ 19 × 19?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 20 − 18 + 20?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 8 ÷ 2 − 7?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 7 ÷ 4 × 19?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 16 × 4 − 6?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 16 − 19 + 4?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 12 + 11 − 19?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 16 − 5 × 7?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 2 + 18 ÷ 15?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 14 ÷ 5 + 7?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 6 ÷ 20 × 20?

Answer key

  1. 68
  2. 8
  3. 221
  4. 2
  5. 44
  6. 152
  7. 40
  8. 48
  9. 232
  10. 92
  11. 14
  12. 83
  13. 312
  14. 29
  15. 13
  16. 25
  17. 142
  18. 19
  19. 243
  20. 162
  21. 164
  22. 59
  23. 26
  24. 322
  25. 4
  26. 34
  27. 94
  28. 136
  29. 46
  30. 101
  31. 351
  32. 9
  33. 11
  34. 34
  35. 306
  36. 164
  37. 39
  38. 26
  39. 26
  40. 24

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