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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 210 · 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 + 11 × 4 ÷ 20?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 20 ÷ 4 − 15?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 13 + 6 − 2?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 9 − 5 × 19?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 10 − 20 + 4?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 4 × 12 − 4?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 10 × 17 − 8?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 14 − 15 + 5?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 20 + 12 ÷ 18?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 8 + 7 × 6?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 11 + 19 ÷ 3?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 6 − 3 ÷ 14?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 3 ÷ 20 + 3?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 16 ÷ 5 + 7?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 4 − 13 + 14?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 19 ÷ 4 × 12?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 16 − 7 ÷ 2?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 2 − 14 ÷ 8?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 17 × 12 − 4?
  20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 8 ÷ 12 × 3?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 10 × 2 + 2?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 18 − 8 + 2?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 2 ÷ 10 − 2?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 20 + 5 × 3?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 4 × 5 ÷ 8?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 7 − 7 + 4?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 8 − 18 ÷ 13?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 4 − 11 × 2?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 19 − 10 ÷ 16?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 11 + 8 − 19?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 18 × 16 ÷ 15?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 3 ÷ 5 + 6?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 11 ÷ 18 × 11?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 15 − 12 ÷ 20?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 20 × 16 ÷ 10?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 17 ÷ 7 + 8?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 7 ÷ 10 + 17?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 10 × 2 − 9?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 6 − 3 + 3?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 4 + 8 ÷ 11?

Answer key

  1. 214
  2. 44
  3. 52
  4. 34
  5. 15
  6. 11
  7. 181
  8. 222
  9. 240
  10. 65
  11. 219
  12. 0
  13. 76
  14. 30
  15. 184
  16. 369
  17. 16
  18. 92
  19. 207
  20. 110
  21. 9
  22. 74
  23. 21
  24. 33
  25. 31
  26. 1
  27. 21
  28. 11
  29. 181
  30. 33
  31. 240
  32. 29
  33. 205
  34. 235
  35. 155
  36. 116
  37. 71
  38. 9
  39. 10
  40. 26

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