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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 152 · 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 16 + 2 ÷ 6 × 3?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 12 − 4 × 3?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 7 + 10 ÷ 6?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 12 + 18 − 18?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 6 ÷ 19 − 13?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 17 + 19 − 19?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 8 × 15 + 4?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 9 + 3 ÷ 18?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 4 ÷ 6 − 3?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 11 × 16 + 4?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 15 ÷ 20 − 4?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 × 12 − 8?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 19 + 14 × 14?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 10 × 13 ÷ 14?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 3 − 8 ÷ 5?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 3 ÷ 20 × 14?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 6 ÷ 2 − 8?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 15 ÷ 14 × 13?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 9 ÷ 2 − 7?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 19 × 18 ÷ 5?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 6 × 11 ÷ 4?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 15 + 5 − 17?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 6 ÷ 4 + 7?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 3 + 19 × 19?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 6 × 2 ÷ 5?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 6 + 10 − 10?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 3 × 18 + 3?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 10 × 18 − 9?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 17 + 15 × 5?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 11 − 7 + 18?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 13 + 13 × 3 − 19?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 13 + 2 − 3?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 6 + 6 ÷ 16?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 6 ÷ 12 × 12?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 12 × 16 + 4?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 17 × 12 − 6?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 9 ÷ 18 × 11?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 5 + 15 − 3?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 6 − 2 ÷ 8?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 18 ÷ 15 + 20?

Answer key

  1. 29
  2. 8
  3. 38
  4. 17
  5. 259
  6. 2
  7. 62
  8. 13
  9. 20
  10. 25
  11. 85
  12. 103
  13. 170
  14. 189
  15. 27
  16. 106
  17. 10
  18. 241
  19. 22
  20. 158
  21. 127
  22. 66
  23. 27
  24. 13
  25. 51
  26. 20
  27. 36
  28. 1
  29. 270
  30. 127
  31. 17
  32. 18
  33. 32
  34. 72
  35. 28
  36. 342
  37. 160
  38. 55
  39. 4
  40. 256

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