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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 469 · 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 11 × 13 ÷ 12 − 6?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 4 ÷ 20 − 5?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 20 × 5 ÷ 3?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 20 − 6 + 6?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 3 + 12 ÷ 12?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 18 ÷ 14 × 8?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 3 − 20 ÷ 3?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 12 ÷ 19 × 12?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 20 × 9 ÷ 15?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 13 × 16 − 16?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 5 + 5 ÷ 6?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 5 + 5 − 5?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 14 × 13 + 18?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 3 − 19 × 18?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 9 ÷ 18 − 19?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 9 − 18 + 19?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 15 × 20 − 4?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 2 − 10 ÷ 5?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 18 − 9 + 8?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 7 ÷ 20 × 5?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 15 + 8 ÷ 3?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 3 + 4 − 2?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 14 + 3 × 7?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 12 + 2 ÷ 5?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 18 × 17 ÷ 15?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 2 ÷ 13 × 18?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 2 × 14 + 8?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 18 × 3 + 7?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 8 × 4 ÷ 18?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 7 × 12 ÷ 11?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 2 − 14 ÷ 14?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 8 ÷ 10 + 9?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 16 − 20 + 20?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 15 × 7 ÷ 4?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 4 ÷ 9 × 10?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 9 + 9 − 5?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 11 + 16 − 8?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 8 + 11 × 10?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 14 − 5 × 5?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 14 − 2 × 2?

Answer key

  1. 22
  2. 6
  3. 18
  4. 380
  5. 6
  6. 282
  7. 19
  8. 31
  9. 54
  10. 16
  11. 36
  12. 30
  13. 235
  14. 31
  15. 347
  16. 349
  17. 12
  18. 5
  19. 28
  20. 37
  21. 2
  22. 14
  23. 102
  24. 11
  25. 106
  26. 15
  27. 8
  28. 51
  29. 81
  30. 113
  31. 4
  32. 88
  33. 393
  34. 32
  35. 77
  36. 12
  37. 35
  38. 94
  39. 78
  40. 0

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