Lesson 1: Practice Problems

Problem 1

In a fruit basket there are 9 bananas, 4 apples, and 3 plums.

  1. The ratio of bananas to apples is : .

  2. The ratio of plums to apples is to .

  3. For every apples, there are plums.

  4. For every 3 bananas there is one .

Problem 2

Complete the sentences to describe this picture.

4 cats and 3 dogs.

  1. The ratio of dogs to cats is : .

  2. For every dogs, there are cats.

Problem 3

Write two different sentences that use ratios to describe the number of eyes and legs in this picture.

"A hippopotamus with 2 eyes and 4 legs and a giant turtle with 2 eyes and 4 legs."

Problem 4 From Unit 1 Lesson 17

Choose an appropriate unit of measurement for each quantity.

  • cm

  • cm²

  • cm³

  1. area of a rectangle

  2. volume of a prism

  3. side of a square

  4. area of a square

  5. volume of a cube

Problem 5 From Unit 1 Lesson 16

Find the volume and surface area of each prism.

  1. Prism A: 3 cm by 3 cm by 3 cm

    A cube whose length, width, and height are each 3 centimeters.

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  2. Prism B: 5 cm by 5 cm by 1 cm

    A rectangular prism that measures 5 cm by 5 cm by 1 cm

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  3. Compare the volumes of the prisms and then their surface areas. Does the prism with the greater volume also have the greater surface area?

Problem 6 From Unit 1 Lesson 13

Which figure is a triangular prism? Select all that apply.

  1. Shape that has a square flat bottom and 2 triangular sides connected by rectangular sides.
  2. Shape that has a hexagon flat bottom, a hexagon flat top, and five flat rectangular sides.
  3. Shape that has a triangle flat bottom, a triangle flat top, and three rectangular sides.
  4. ShShape that has a rectangle flat bottom and two sides shaped like a triangle connected by rectangular sides.
  5. Shape that has a rectangle flat bottom and four triangle sides that connect at a top point.