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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 116 · 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 5 × 14 + 18 ÷ 4?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 17 ÷ 2 + 4?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 2 × 10 ÷ 11?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 14 − 9 × 9?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 11 − 11 × 15 ÷ 14?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 15 ÷ 14 × 15?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 7 − 18 × 14?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 4 − 15 × 18?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 5 × 7 ÷ 5?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 19 − 16 + 4?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 13 + 18 × 2?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 17 × 17 ÷ 4?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 11 − 7 × 16?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 6 − 15 + 6?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 2 + 19 − 11?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 11 − 7 + 7?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 14 ÷ 16 + 8?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 13 ÷ 11 × 11?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 8 ÷ 8 − 4?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 20 − 18 ÷ 19?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 5 × 15 − 3?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 20 − 15 × 15?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 15 ÷ 3 × 8?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 14 ÷ 15 + 5?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 2 × 20 − 5?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 3 × 6 + 5?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 13 × 15 + 3?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 × 8 ÷ 2?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 7 ÷ 7 × 7?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 18 ÷ 19 + 2?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 16 × 4 − 5?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 16 − 2 × 4?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 7 ÷ 20 + 10?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 17 ÷ 2 + 8?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 8 × 8 − 3?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 6 ÷ 12 × 14?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 10 × 10 ÷ 10?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 10 − 12 ÷ 17?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 3 − 16 ÷ 2?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 4 ÷ 2 − 20?

Answer key

  1. 253
  2. 287
  3. 9
  4. 141
  5. 0
  6. 46
  7. 81
  8. 12
  9. 33
  10. 47
  11. 250
  12. 16
  13. 13
  14. 96
  15. 8
  16. 25
  17. 31
  18. 28
  19. 66
  20. 29
  21. 20
  22. 26
  23. 95
  24. 122
  25. 21
  26. 34
  27. 25
  28. 14
  29. 27
  30. 178
  31. 145
  32. 9
  33. 45
  34. 38
  35. 18
  36. 94
  37. 26
  38. 7
  39. 52
  40. 20

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