Ratios
Proportions
Scale Factor
Similar Polygons
Other Stuff
100

Simplified form of the following ratio: 2 lb: 24 lb.

What is 1:12.

100

The value of z in: z/4 = 15/12

What is z=5?

100

Two corresponding sides of similar triangles have the lengths of 24 cm and 60 cm. What would be the scale factor of these triangles?

What is 2:5?

100

Decide if the 2 triangles are similar. If they are, justify your answer and give the scale factor.  If they are not, state why. (Similar polygon figure for $100).

What is Yes? What is SAS.  What is 0.67?

100

Find the value of x. (figure other for $100).

What is 7.5?

200

The simplified form of the ratio 1600 m: 5 km

What is 8:25?

200

6/x = 72/84. Find x. 

What is 7?

200

Find the scale factor of EFGH to ABCD. (Scale factor for $200 image).

What is 2?

200

Decide if the 2 triangles are similar. If they are, give the scale factor as your answer. If they are not, state why. (similar polygon figure for $200)

What is not similar?  What is sides are not proportional?

200

Find the value of x. (figure other for $200).

What is 8.4?

300

The three measures of a triangle whose angles are in the extended ratio of 2:3:4

What are 40˚, 60˚, 80˚?

300

A model of a Sherman Tank has a scale of 1:16. The length of the actual tank is 584 cm. What is the length of the model?

What is 36.5 cm?

300

Find the scale factor for the two figures (scale factor for $300 image).

What is 2 or 1/2?

300

Find x (figure for similar polygons for $300).

What is 6?

300

Inches are in a mile.

What is 63,360?

400

The length of a rectangle whose perimeter is 480 feet and length to width ratio is 5:1

What is 200 ft.?

400

In November, 2005, the exchange rate of Canadian dollars to U.S. dollars was 1 to 0.85. A Canadian citizen paid $12.28 in U.S. dollars for lunch while visiting New York City. What was the price of the lunch in Canadian dollars?

What is $14.45?

400

Two pentagons are similar with a scale factor of 3/7 . The perimeter of the larger pentagon is 42 feet. What is the perimeter of the smaller pentagon? (Scale factor for $400 image).

What is 18 feet?

400

Triangle ABC ~ triangle DBE. List all pairs of congruent angles and write a proportion that relates the corresponding sides. (similar polygons for $400 figure).

What is angle A ~= D, B with B, C with E, AB/DB = AC/DE = BC/BE. 

400

1 kilometer = __________ milometers

What is 1,000,000?

500

The length of a rectangle whose area is 192 square feet and length to width ratio is 1:3

What is 8 feet?

500

You plan on purchasing a new $25,000 vehicle. Recently, a friend bought a $22,500 vehicle and paid an additional $1,575 in sales tax. Assuming the same sales tax rate applies, how much should you expect to pay in sales tax?

What is $1,750?

500

Find the perimeter P1. (Scale factor for $500 image).

What is 15 cm?

500

In table tennis, the table is a rectangle 9 feet long and 5 feet wide. A tennis court is a rectangle 78 feet long and 36 feet wide. Are the two surfaces similar? Explain.

No; the sides are not proportional.

500

You need to make 36 one-half cup bags of trail mix for a class trip. The recipe calls for peanuts, chocolate chips and raisins in the extended ratio of 5:1:4. How many cups of each item do you need?

9 cups of peanuts 1.8 cups of chocolate chips 7.2 cups of raisins

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