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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 536 · 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 7 − 7 ÷ 15 × 8?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 6 ÷ 18 × 4?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 6 − 2 ÷ 20?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 8 + 4 − 8?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 20 ÷ 6 + 13?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 4 ÷ 19 × 19?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 4 − 3 ÷ 2?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 4 ÷ 18 − 13?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 2 × 20 ÷ 3?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 7 ÷ 2 − 2?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 19 ÷ 10 × 4?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 17 − 17 × 19?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 9 − 11 × 7?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 6 ÷ 16 × 5?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 7 − 14 ÷ 9?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 11 − 19 + 19?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 17 ÷ 16 − 2?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 17 − 4 + 4?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 2 + 9 ÷ 16?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 2 ÷ 15 − 3?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 17 × 20 ÷ 9?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 14 × 12 ÷ 11?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 16 ÷ 3 × 12?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 18 − 9 + 19?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 19 ÷ 5 + 12?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 8 × 4 + 15?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 9 + 3 × 3?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 16 × 4 − 13?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 ÷ 12 + 11?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 8 + 6 − 5?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 20 + 2 − 17?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 17 ÷ 2 + 10?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 11 ÷ 10 + 17?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 7 ÷ 19 × 14?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 7 ÷ 7 + 4?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 4 × 9 − 10?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 10 ÷ 13 − 13?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 7 ÷ 17 × 13?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 10 ÷ 5 × 5?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 5 − 3 ÷ 11?

Answer key

  1. 8
  2. 17
  3. 48
  4. 16
  5. 193
  6. 8
  7. 17
  8. 250
  9. 7
  10. 16
  11. 197
  12. 1
  13. 96
  14. 37
  15. 139
  16. 365
  17. 31
  18. 2
  19. 5
  20. 50
  21. 26
  22. 0
  23. 215
  24. 160
  25. 316
  26. 45
  27. 45
  28. 33
  29. 13
  30. 135
  31. 185
  32. 77
  33. 109
  34. 9
  35. 32
  36. 104
  37. 175
  38. 112
  39. 16
  40. 15

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