Neil took a total of 32 quizzes over the course of 4 weeks. After attending 5 weeks of school this quarter, how many quizzes will Neil have taken in total? Solve using unit rates.

Neil took 32 quizzes in 4 weeks, so his rate is 32 quizzes / 4 weeks = <<32/4=8>>8 quizzes per week.

Therefore, in 5 weeks, Neil will have taken 8 quizzes/week * 5 weeks = <<8*5=40>>40 quizzes. Answer: \boxed{40}.