Geometry and Ratios in Word Problems

Mr. Richards reviews grade 6 unit 2 lesson 16 practice problems, covering topics such as tape diagrams, coin ratios, horse race distances, book costs, and geometry involving polyhedrons and triangles. The lesson emphasizes problem-solving using ratios, calculations, and geometric reasoning.

What does the tape diagram with a 3:2 ratio and a total of 30 units represent?

• 3 parts sugar and 2 parts salt

• 3 parts blue paint and 2 parts green paint

• 3 parts red paint and 2 parts blue paint

• 3 parts water and 2 parts oil

If there are 500 coins in total, how many nickels are there in the piggy bank?

• 150

• 120

• 100

• 80

How much is the total value of the quarters in the piggy bank?

• $60

• $100

• $75

• $90

After 5 seconds, how much farther will Horse A have traveled compared to Horse B?

• 20 feet

• 25 feet

• 10 feet

• 15 feet

If Andre paid $13 for 3 books, how much did Diego pay for 12 books at the same rate?

• $39

• $78

• $52

• $65

What type of polyhedron is formed from the given net?

• Square Pyramid

• Triangular Prism

• Triangular Pyramid

• Rectangular Prism

What is the area of triangle A if its base is 2 and height is 3?

• 2

• 3

• 5

• 4

What is the area of triangle B with a base of 3 and height of 5?

• 10

• 6

• 9

• 7.5

What is the area of triangle C with a base of 5 and height of 2?

• 7

• 4

• 5

• 6

What is the final area of the blue triangle after subtracting the smaller triangles from the rectangle?

• 8.5 square units

• 10 square units

• 9 square units

• 9.5 square units