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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 315 · 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 11 ÷ 16 + 4 × 9?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 4 − 5 + 17?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 15 ÷ 5 − 3?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 6 + 6 ÷ 18?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 12 × 5 − 5?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 3 + 5 × 15?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 19 + 4 × 19?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 9 + 2 − 8?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 18 × 9 ÷ 4?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 11 ÷ 2 + 9?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 19 − 5 × 9?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 18 − 2 + 2?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 4 + 5 − 8?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 12 + 14 × 2?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 10 ÷ 12 − 12?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 2 ÷ 7 − 16?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 5 ÷ 8 × 8?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 8 + 2 × 7?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 5 − 5 ÷ 15?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 10 − 15 + 13?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 16 + 15 × 20?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 4 ÷ 15 × 15?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 15 ÷ 12 − 3?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 7 ÷ 15 + 3?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 × 15 − 8?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 20 × 18 ÷ 2?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 6 + 6 ÷ 15?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 20 + 12 − 20?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 11 + 11 − 18?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 5 − 12 + 18?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 8 + 4 − 5?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 5 + 9 × 2?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 6 × 10 ÷ 2?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 16 + 12 × 10?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 19 − 8 × 9?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 19 × 12 − 18?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 5 − 5 + 10?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 19 + 3 × 5?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 3 + 2 ÷ 2?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 10 + 10 − 17?

Answer key

  1. 16
  2. 14
  3. 5
  4. 1
  5. 3
  6. 18
  7. 338
  8. 71
  9. 311
  10. 114
  11. 88
  12. 43
  13. 20
  14. 24
  15. 27
  16. 19
  17. 10
  18. 23
  19. 10
  20. 205
  21. 230
  22. 13
  23. 18
  24. 16
  25. 124
  26. 184
  27. 18
  28. 8
  29. 22
  30. 60
  31. 23
  32. 8
  33. 26
  34. 254
  35. 148
  36. 214
  37. 21
  38. 90
  39. 1
  40. 26

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