Rates and Ratios
A teacher bought museum tickets for 20 students. The total cost of the tickets was $80. What was the cost per student?
What is $4 per student?
Name the two ways to solve a proportion.
Equivalent fractions, using algebra (clearing the denominator), cross-products
Given triangle ABC is similar and congruent to triangle DEF, what is the measure of angle F?
angle A =38, angle B = 82, angle C = 60
What is 60?
A map has a scale of 1 in:12 miles. If the distance between two towns on a map is 6 inches, what is the actual distance between the two towns?
What is 72 miles?
Suppose you randomly choose a letter in the alphabet from A to M. What are the odds in favor of choosing a vowel?
What is 3:10?
An insect is traveling at a rate of 40 cm per minute. About how many inches per minute does it travel? (round your answer to the nearest whole number)
What is about 16 inches?
Solve the proportion 69/300 = 46/y.
"36 over 300 equals 46 over y"
What is 200?
Two rectangles are similar. What is the ratio of the lengths of the corresponding sides of MNPQ to STWV? rectangle 1: Side QP=18, side NP=6 rectangle 2: side VW=9, side TW=3
What is 2?
Write the scale 1 ft: 15 yds without units.
What is 1:45?
At baseball practice, you made a hit 5 times out of 20 times at bat. Using experimental probability, predict the number of times you would make a hit out of 60 times at bat.
What is 15?
If you can buy 5 pounds of pasta for $8, how many pounds of pasta can you buy for $20?
What is 12.5 pounds?
What is the solution of the proportion
21/56 = 9/x+10
"21 over 56 equals 9 over the quantity x plus 10"
What is 40/3?
A 40-foot tree casts a 12-foot long shadow. At the same time of day, how long of a shadow does a nearby 15-foot tree cast?
What is 4.5 ft?
A map has a scale of 2 cm: 5.5 km. If the distance between two towns on a map is 7 cm, what is the actual distance between the two towns?
What is 19.25 kilometers?
You bought a packet of 80 seeds and 16 of the seeds did not germinate. Predict the number of seeds out of 120 that would germinate using experimental probability.
What is 96?
The water level in a tank is falling at a rate of 3.5 meters per minute. What is this rate in feet per hour? Round your answer to the nearest whole number
What is about 689 ft/h?
Lions sleep 5 out of every 6 hours. Write and solve a proportion to find how many hours per day lions sleep.
What is 5/6 = s/24, 20 hours?
Given triangle JKL is similar to triangle PRS, find the length of side JL. triangle 1: side KL=15, side JL=x triangle 2: side RS=10, side PS=8
What is 12?
Write the scale without units. 1 in: 20 ft.
What is 1:240?
You are buying a new calculator. You can choose model A, model B or model C and you have your choice of the following colors: black, gray, blue or red. Make a tree diagram to show how many different calculators there are to choose from. How many options do you have? If you choose a calculator at random, what is the probability that it is red?
12 different options with a 1/4 probability of choosing red.
There are 125 people on a ferry boat. Of those, 40 are children. Write the ratio of children to adults as a decimal. Round to the nearest hundredth if necessary.
What is 0.47?
A mixture contains 18 ounces of white paint and 25 ounces of blue paint. To achieve the same color, how many ounces of white paint should be mixed with 40 ounces of blue paint?
What is 28.8 ounces?
Given trapezoid CDEF is similar and congruent to trapezoid LHJK, what is the measure of angle j? trapezoid CDEF: angle c:121, angle D: 124, angle E: 56, angle F: 59
What is 56?
In a scale drawing, a wall is 8 cm long. The actual wall is 20 meters long. Find the scale drawing without units.
What is 1:250?
Two players roll a number cube. Player 1 scores a point if the number cube shows a number that is a factor of 12, and player 2 scores a point if the number cube shows a number less than 5. Determine whether the game is fair.