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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 381 · 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 16 × 14 − 3 ÷ 7?
  2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 16 − 3 + 18?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 3 + 18 × 6?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 4 × 18 − 6?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 2 ÷ 3 − 12?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 16 + 2 ÷ 18?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 18 ÷ 9 × 12?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 4 ÷ 15 × 8?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 3 × 3 ÷ 19?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 14 ÷ 13 × 11?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 18 × 4 + 16?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 19 × 13 + 16?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 12 − 2 + 19?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 17 × 6 − 5?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 3 × 9 − 4?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 7 + 10 ÷ 6?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 3 + 3 × 3?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 15 + 12 × 12?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 2 ÷ 6 × 14?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 4 + 4 ÷ 20?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 16 + 14 ÷ 7?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 20 − 5 ÷ 9?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 8 − 6 × 6?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 17 ÷ 4 × 17?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 5 × 6 ÷ 4?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 8 × 19 − 19?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 4 + 11 ÷ 11?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 16 + 8 − 2?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 9 + 15 − 9?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 4 − 18 × 2?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 13 + 13 ÷ 4?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 12 − 4 ÷ 4?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 ÷ 14 − 10?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 9 ÷ 6 − 7?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 7 ÷ 4 − 2?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 4 − 5 ÷ 17?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 15 − 3 × 4?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 9 ÷ 15 × 11?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 19 + 19 ÷ 12 − 2?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 3 ÷ 20 × 11?

Answer key

  1. 23
  2. 53
  3. 3
  4. 10
  5. 21
  6. 16
  7. 219
  8. 65
  9. 61
  10. 30
  11. 49
  12. 201
  13. 115
  14. 220
  15. 43
  16. 78
  17. 12
  18. 59
  19. 28
  20. 0
  21. 201
  22. 28
  23. 60
  24. 336
  25. 24
  26. 366
  27. 20
  28. 0
  29. 48
  30. 21
  31. 17
  32. 29
  33. 141
  34. 48
  35. 65
  36. 15
  37. 5
  38. 86
  39. 25
  40. 39

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