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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 504 · 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 17 ÷ 2 − 6 × 4?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 15 ÷ 12 + 3?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 3 × 9 + 18?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 18 + 18 − 12?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 5 + 3 − 4?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 17 + 17 × 9 − 18?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 2 − 12 + 17?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 11 ÷ 9 + 2?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 13 ÷ 5 − 6?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 10 − 10 × 15?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 17 ÷ 16 + 15?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 2 ÷ 19 × 7?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 2 − 13 ÷ 14?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 15 + 17 × 3?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 5 + 20 × 18?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 6 − 10 ÷ 2?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 14 ÷ 12 + 18?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 5 ÷ 2 × 10?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 10 − 15 × 15?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 11 − 5 ÷ 4?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 3 ÷ 3 × 13?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 18 ÷ 8 + 3?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 18 × 8 ÷ 7?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 11 × 2 + 17?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 2 + 9 ÷ 4?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 5 × 12 − 4?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 7 × 2 − 15?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 19 − 9 + 16?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 9 ÷ 6 × 3?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 11 + 15 ÷ 6?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 12 ÷ 20 − 10?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 2 − 11 × 7?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 18 − 17 ÷ 18?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 18 ÷ 8 × 2?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 4 ÷ 4 − 6?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 4 ÷ 12 × 11?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 13 ÷ 13 + 10?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 7 + 6 ÷ 10?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 20 ÷ 4 + 13?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 2 × 2 + 7?

Answer key

  1. 36
  2. 99
  3. 6
  4. 2
  5. 8
  6. 163
  7. 15
  8. 8
  9. 19
  10. 17
  11. 272
  12. 45
  13. 33
  14. 14
  15. 20
  16. 73
  17. 220
  18. 68
  19. 31
  20. 55
  21. 43
  22. 12
  23. 45
  24. 27
  25. 32
  26. 22
  27. 85
  28. 139
  29. 110
  30. 46
  31. 22
  32. 7
  33. 306
  34. 222
  35. 66
  36. 81
  37. 170
  38. 34
  39. 49
  40. 0

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