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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 313 · 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 ÷ 15 × 5 − 13?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 12 ÷ 2 + 11?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 2 ÷ 8 − 4?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 3 + 6 ÷ 19?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 4 + 4 − 2?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 3 × 4 + 2?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 13 − 4 × 20?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 6 ÷ 3 − 6?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 6 × 9 + 4?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 10 − 17 ÷ 14?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 4 + 10 ÷ 2?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 20 ÷ 20 − 8?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 18 − 13 + 10?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 3 − 3 × 12 ÷ 4?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 8 + 15 ÷ 17?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 9 + 9 × 2?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 11 ÷ 8 + 8?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 6 + 6 ÷ 15?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 10 × 2 ÷ 7?
  20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 8 − 9 × 5?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 15 × 3 ÷ 4?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 16 ÷ 12 + 4?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 4 ÷ 17 × 14?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 12 × 17 − 7?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 16 ÷ 19 × 10?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 4 − 11 × 6?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 4 ÷ 6 × 11?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 3 + 11 ÷ 4?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 17 − 17 × 19 + 15?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 8 ÷ 12 + 5?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 19 ÷ 17 + 10?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 9 ÷ 9 + 9?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 2 ÷ 18 − 15?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 14 × 18 + 20?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 14 × 20 − 5?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 4 ÷ 12 + 13?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 12 × 7 ÷ 17?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 11 + 11 × 13?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 12 − 12 + 2?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 3 ÷ 15 × 7?

Answer key

  1. 54
  2. 171
  3. 41
  4. 7
  5. 16
  6. 17
  7. 50
  8. 93
  9. 8
  10. 240
  11. 3
  12. 228
  13. 3
  14. 49
  15. 74
  16. 15
  17. 56
  18. 25
  19. 32
  20. 20
  21. 0
  22. 206
  23. 73
  24. 62
  25. 279
  26. 61
  27. 69
  28. 41
  29. 286
  30. 56
  31. 322
  32. 74
  33. 280
  34. 365
  35. 16
  36. 160
  37. 110
  38. 125
  39. 30
  40. 62

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