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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 129 · 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 4 ÷ 4 × 5 − 15?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 4 ÷ 10 − 10?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 15 ÷ 3 + 9?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 20 × 5 − 12?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 9 ÷ 11 × 5?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 7 × 7 − 16?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 2 − 6 ÷ 13?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 4 ÷ 12 − 7?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 5 × 16 ÷ 3?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 20 − 4 ÷ 20?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 20 × 4 + 3?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 15 + 18 × 6?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 9 ÷ 19 × 3?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 11 × 3 + 3?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 6 − 6 × 19?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 14 − 5 × 2?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 3 − 7 × 4?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 16 × 4 − 9?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 7 ÷ 14 + 2?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 7 ÷ 13 + 20?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 14 − 16 ÷ 4?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 15 + 15 ÷ 14?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 6 × 17 ÷ 16?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 2 − 3 × 8?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 3 + 3 − 5?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 20 + 5 × 17?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 9 × 2 ÷ 17?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 6 ÷ 10 + 5?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 10 × 10 ÷ 3?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 18 × 7 ÷ 13?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 5 × 5 − 5?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 9 ÷ 20 − 20?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 9 − 3 × 2?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 6 × 8 + 2?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 13 ÷ 18 + 12?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 4 × 14 ÷ 18?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 8 − 15 + 7?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 3 − 3 × 12?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 6 + 11 × 4?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 15 × 2 + 14?

Answer key

  1. 75
  2. 44
  3. 8
  4. 66
  5. 101
  6. 35
  7. 3
  8. 95
  9. 2
  10. 45
  11. 37
  12. 24
  13. 119
  14. 16
  15. 24
  16. 44
  17. 9
  18. 37
  19. 36
  20. 257
  21. 236
  22. 25
  23. 113
  24. 13
  25. 7
  26. 52
  27. 33
  28. 29
  29. 4
  30. 354
  31. 5
  32. 89
  33. 7
  34. 30
  35. 110
  36. 64
  37. 123
  38. 1
  39. 72
  40. 46

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