Lesson 15: Practice Problems

Problem 1

  1. To find 40% of 75, Priya calculates . Does her calculation give the correct value for 40% of 75? Explain or show how you know.

  2. If represents a number, does always represent 40% of that number? Explain your reasoning.

Problem 2

Han spent 75 minutes practicing the piano over the weekend. For each question, explain or show your reasoning.

  1. Priya practiced the violin for 152% as much time as Han practiced the piano. How long did she practice?

  2. Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?

Problem 3

Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the park.

Problem 4

Order from greatest to least:

  1. 55% of 180

  2. 300% of 26

  3. 12% of 700

Problem 5 From Unit 3 Lesson 14

Complete each statement.

  1. 20% of 60 is

  2. 25% of is 6

  3. % of 100 is 14

  4. 50% of 90 is

  5. 10% of is 7

  6. 30% of 70 is

Problem 6 From Unit 3 Lesson 9

A shopper needs 24 sandwich rolls. The store sells identical rolls in 2 differently sized packages. They sell a six-pack for $5.28 and a four-pack for $3.40. Should the shopper buy 4 six-packs or 6 four-packs? Explain your reasoning.

Problem 7 From Unit 2 Lesson 15

On a field trip, there are 3 chaperones for every 20 students. There are 92 people on the trip. Answer these questions. If you get stuck, consider using a tape diagram.

  1. How many chaperones are there?

  2. How many children are there?