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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 425 · 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 18 ÷ 10 − 6 × 3?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 6 − 15 ÷ 3?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 20 ÷ 17 × 11?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 6 − 5 ÷ 12?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 16 × 15 ÷ 7?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 12 ÷ 15 × 3?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 16 + 10 − 5?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 13 + 17 × 14?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 7 × 3 + 14?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 15 + 5 × 10?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 12 ÷ 10 + 20?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 8 ÷ 3 + 3?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 20 + 16 × 2?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 17 + 15 ÷ 15?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 2 ÷ 17 × 5?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 3 − 3 × 17 ÷ 17?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 6 − 3 × 6?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 2 ÷ 18 − 12?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 15 ÷ 5 + 2?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 7 × 9 ÷ 19?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 10 + 2 − 7?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 3 − 4 + 6?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 5 × 10 − 2?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 18 − 11 + 20?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 15 × 4 ÷ 20?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 13 − 8 ÷ 9?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 11 × 8 ÷ 5?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 18 ÷ 14 − 17?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 19 − 8 + 8?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 6 + 2 × 2?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 7 × 7 − 11?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 8 + 17 − 7?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 17 + 3 − 20?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 20 + 2 − 5?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 9 ÷ 17 × 3?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 14 + 7 × 6?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 12 ÷ 5 + 6?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 19 × 12 + 6?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 6 + 4 ÷ 3?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 15 ÷ 2 × 18?

Answer key

  1. 38
  2. 48
  3. 335
  4. 1
  5. 56
  6. 240
  7. 318
  8. 205
  9. 54
  10. 19
  11. 18
  12. 25
  13. 172
  14. 260
  15. 28
  16. 290
  17. 13
  18. 234
  19. 228
  20. 46
  21. 13
  22. 10
  23. 70
  24. 204
  25. 119
  26. 129
  27. 96
  28. 231
  29. 190
  30. 16
  31. 16
  32. 46
  33. 85
  34. 12
  35. 155
  36. 265
  37. 71
  38. 22
  39. 41
  40. 104

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