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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 817 · 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 + 15 − 2 ÷ 14?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 5 − 5 ÷ 18?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 4 ÷ 5 + 5?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 6 × 6 ÷ 4?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 2 ÷ 10 + 17?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 18 − 20 × 18?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 17 − 16 + 5?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 20 + 10 × 11?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 3 + 5 ÷ 8?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 2 ÷ 9 − 18?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 14 − 4 × 13?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 3 ÷ 15 − 3?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 8 − 6 ÷ 20?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 10 ÷ 8 + 6?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 14 − 9 + 7?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 9 ÷ 18 × 4?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 10 ÷ 11 + 5?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 6 + 6 − 12?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 13 ÷ 6 + 12?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 2 + 10 ÷ 15?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 17 ÷ 9 × 11?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 20 × 10 − 2?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 11 ÷ 2 + 15?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 4 − 4 ÷ 13?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 15 ÷ 13 × 3?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 3 + 9 ÷ 2?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 9 + 14 × 18?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 14 ÷ 6 × 11?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 5 × 17 − 15?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 18 − 2 ÷ 20?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 19 − 3 ÷ 14?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 11 − 4 × 14?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 4 − 4 × 3?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 15 ÷ 7 + 11?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 15 − 5 × 4?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 16 − 10 + 6?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 3 + 9 − 11?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 11 + 15 − 4?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 14 − 13 + 20?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 6 ÷ 8 − 19?

Answer key

  1. 63
  2. 100
  3. 40
  4. 5
  5. 175
  6. 0
  7. 282
  8. 205
  9. 17
  10. 12
  11. 83
  12. 38
  13. 40
  14. 44
  15. 125
  16. 103
  17. 47
  18. 3
  19. 68
  20. 2
  21. 304
  22. 13
  23. 20
  24. 55
  25. 145
  26. 44
  27. 10
  28. 173
  29. 13
  30. 88
  31. 25
  32. 100
  33. 3
  34. 99
  35. 56
  36. 47
  37. 23
  38. 143
  39. 181
  40. 47

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