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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 564 · 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 18 + 8 − 12 × 12?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 11 × 3 − 3?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 20 − 20 + 12?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 20 + 12 − 16?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 14 × 20 ÷ 3?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 5 + 18 ÷ 2?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 15 × 14 − 17?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 10 − 2 ÷ 3?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 12 + 3 ÷ 15?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 7 ÷ 3 + 2?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 6 × 11 + 2?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 9 − 9 × 2?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 14 − 14 + 14?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 7 ÷ 20 × 20?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 15 × 6 − 2?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 20 × 13 − 10?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 10 + 2 ÷ 4?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 15 × 8 ÷ 16?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 19 × 2 ÷ 12?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 × 5 + 15 − 19?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 2 + 5 − 2?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 7 + 19 × 7?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 11 ÷ 18 − 13?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 × 5 ÷ 13 − 8?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 8 − 2 ÷ 12?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 17 − 11 ÷ 17?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 5 × 2 ÷ 4?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 20 × 20 ÷ 10?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 2 ÷ 4 + 4?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 16 + 12 ÷ 13?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 3 × 18 ÷ 19?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 11 + 4 × 12?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 12 ÷ 10 − 3?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 12 × 4 − 18?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 6 × 19 ÷ 17?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 18 ÷ 3 + 2?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 5 ÷ 7 + 9?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 9 − 2 ÷ 13?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 8 × 15 ÷ 13?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 10 ÷ 5 × 19?

Answer key

  1. 24
  2. 69
  3. 393
  4. 22
  5. 52
  6. 38
  7. 230
  8. 13
  9. 2
  10. 11
  11. 25
  12. 98
  13. 16
  14. 140
  15. 6
  16. 122
  17. 7
  18. 203
  19. 104
  20. 5
  21. 22
  22. 26
  23. 231
  24. 105
  25. 14
  26. 173
  27. 52
  28. 310
  29. 21
  30. 241
  31. 345
  32. 140
  33. 21
  34. 15
  35. 80
  36. 21
  37. 48
  38. 160
  39. 38
  40. 114

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