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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 924 · 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 10 ÷ 6 + 5 − 13?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 7 ÷ 7 − 17?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 3 − 8 + 9?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 9 − 18 ÷ 13?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 12 ÷ 2 × 20?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 9 ÷ 18 − 13?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 14 + 18 × 10?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 8 × 18 + 18?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 8 + 10 − 14?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 11 + 12 × 6?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 14 ÷ 15 − 19?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 3 ÷ 4 − 18?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 2 − 8 + 4?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 9 + 18 − 4?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 10 × 15 ÷ 16?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 11 × 20 ÷ 8?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 17 + 17 × 10?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 10 − 6 + 9?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 4 ÷ 17 × 13?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 18 − 3 × 20?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 8 + 8 ÷ 18?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 12 ÷ 18 × 5?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 2 + 9 ÷ 2?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 16 − 15 + 19?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 5 + 6 − 10?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 6 × 13 ÷ 8?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 6 ÷ 17 − 18?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 4 + 15 × 15?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 13 − 8 ÷ 18?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 14 − 7 × 15?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 4 − 6 + 9?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 6 ÷ 2 − 6?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 14 ÷ 5 + 8?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 6 × 8 ÷ 2?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 3 ÷ 14 × 6?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 9 − 2 × 14?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 19 ÷ 4 × 9?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 4 × 3 − 19?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 11 + 2 ÷ 5?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 13 + 16 × 4?

Answer key

  1. 25
  2. 31
  3. 25
  4. 167
  5. 90
  6. 227
  7. 4
  8. 16
  9. 20
  10. 17
  11. 172
  12. 18
  13. 19
  14. 12
  15. 189
  16. 54
  17. 9
  18. 58
  19. 68
  20. 94
  21. 20
  22. 143
  23. 20
  24. 281
  25. 7
  26. 119
  27. 306
  28. 59
  29. 138
  30. 22
  31. 17
  32. 15
  33. 109
  34. 108
  35. 2
  36. 41
  37. 157
  38. 96
  39. 27
  40. 16

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