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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 265 · 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 20 × 6 + 8 ÷ 18?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 4 + 4 − 9?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 9 ÷ 2 + 11?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 2 × 2 − 19?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 11 − 11 ÷ 2?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 12 ÷ 17 × 5?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 4 + 4 ÷ 17?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 6 + 2 − 16?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 19 − 2 ÷ 6?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 17 + 8 − 17?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 13 + 13 − 5 ÷ 20?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 10 ÷ 8 + 16?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 4 ÷ 19 × 5?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 10 × 15 + 5?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 17 × 14 − 11?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 11 − 10 ÷ 9?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 6 ÷ 18 − 5?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 6 − 18 ÷ 17?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 17 + 7 ÷ 19?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 6 − 2 ÷ 3?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 6 × 2 + 2?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 13 − 14 × 4?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 18 + 18 ÷ 7?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 10 ÷ 2 × 15?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 12 × 6 − 2?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 19 × 2 + 9?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 15 + 3 × 4?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 16 ÷ 14 × 4?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 8 ÷ 7 − 12?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 10 − 9 + 9?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 17 + 5 ÷ 2?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 11 ÷ 10 × 20?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 9 × 19 − 11?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 2 ÷ 5 + 2?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 12 × 6 ÷ 19?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 10 × 14 − 18?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 2 × 5 − 5?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 17 × 20 ÷ 6?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 16 × 4 − 11?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 2 ÷ 8 × 7?

Answer key

  1. 50
  2. 29
  3. 33
  4. 35
  5. 13
  6. 60
  7. 21
  8. 8
  9. 70
  10. 128
  11. 25
  12. 16
  13. 80
  14. 53
  15. 286
  16. 92
  17. 101
  18. 310
  19. 46
  20. 8
  21. 1
  22. 17
  23. 324
  24. 1
  25. 3
  26. 9
  27. 151
  28. 228
  29. 87
  30. 86
  31. 25
  32. 164
  33. 55
  34. 18
  35. 229
  36. 251
  37. 29
  38. 286
  39. 247
  40. 35

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