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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 90 · 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 17 + 13 × 13 ÷ 16?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 19 − 10 × 16?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 14 ÷ 14 − 7?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 3 × 5 ÷ 18?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 7 − 8 + 19?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 11 × 15 ÷ 8?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 6 − 19 × 17?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 4 − 11 × 18?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 16 × 4 ÷ 5?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 16 − 16 ÷ 2?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 14 + 20 − 17?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 3 − 11 ÷ 3?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 15 − 17 × 14?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 16 ÷ 9 − 16?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 5 + 5 × 2 − 14?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 20 × 16 − 2?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 15 × 3 ÷ 3?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 3 × 19 ÷ 4?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 11 × 12 + 2?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 10 × 15 − 3?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 18 ÷ 4 − 9?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 5 − 7 ÷ 5?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 3 ÷ 11 − 6?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 15 ÷ 9 × 15?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 16 − 10 × 13?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 3 × 6 + 3?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 18 + 15 ÷ 20?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 18 × 13 − 13?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 8 + 3 ÷ 18?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 12 − 2 × 2?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 6 ÷ 12 + 9?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 9 × 13 ÷ 20?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 12 × 19 + 4?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 18 + 3 × 13?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 7 ÷ 14 × 2?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 14 × 2 ÷ 17?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 8 + 17 ÷ 18?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 18 ÷ 2 × 5?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 19 × 15 + 12?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 11 × 5 ÷ 16?

Answer key

  1. 1
  2. 181
  3. 101
  4. 27
  5. 24
  6. 62
  7. 55
  8. 30
  9. 209
  10. 15
  11. 123
  12. 23
  13. 255
  14. 7
  15. 29
  16. 272
  17. 17
  18. 30
  19. 149
  20. 185
  21. 15
  22. 9
  23. 79
  24. 130
  25. 153
  26. 12
  27. 255
  28. 168
  29. 5
  30. 70
  31. 68
  32. 20
  33. 71
  34. 5
  35. 98
  36. 237
  37. 25
  38. 219
  39. 178
  40. 165

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