Ratios/Rates
In a drawing, there are three circles, four stars, and three triangles. What is the ratio of stars to the total number of shapes? Simplify your answer.
What is 2/5?
What is the missing number in the proportion? 5/8 = n/48
What is n=30?
It is the missing word in the definition: Similar figures have corresponding angles that are ____________ and corresponding sides that are ___________.
Similar figures have corresponding angles that are _congruent and corresponding sides that are proportional.
The scale factor for a map is 1 cm. = 200 km. On the map, Boston is 1.5 cm. from New York. How far is Boston from New York?
What is 300 km.?
What is 35% of 500?
175
Ari can walk 2 miles in 40 min. What is Ari's unit rate of miles per minute? Give answer in decimal form.
0.05 miles per minute
Ten shovels of sand are mixed with 6 shovels of gravel to make cement. How many shovels of gravel are needed for 160 shovels of sand?
96
Two rectangles are similar. The length of the rectangle A is 18 cm. and the width is 6 cm. The length of the rectangle B is 12 cm. Find the width of the smaller rectangle.
What is 4 cm.?
Jeff drew a model of an airplane with a wing of 5 in. He used a scale of 1 inch: 5 feet. Find the actual length of the wing.
What is 25 ft.?
Willis Middle School has a total of 350 students. 40% of the students ride a school bus home. How many students ride a school bus home?
140
Paul jumped rope 150 times in 3 minutes. What is his unit rate of jumps per minute?
50 jumps per minute
Thirty buses can carry 1500 people. How many people can be carried by 5 buses?
250
A 4-ft. tall mailbox casts a 2-ft. long shadow. If the shadow of a nearby tree is 16 ft. long, find the height of the tree.
What is 32 ft.?
In a picture, a snake measures 4 in. long. The scale is 1 in. = 2.8 ft. Find the actual length of the snake.
What is 11.2 ft.?
If 24 girls out of 80 girls play basketball, what percent plays basketball?
30%
Jolee bought 5 lbs of apples for $6.50. What is the unit price of the apples?
$1.30 per pound
Ivy's Fresh Eggs transports its eggs in crates. It takes 2 trucks to carry 80 crates. What is the number of crates 15 trucks can carry?
600
Triangle ABC is similar to Triangle DEF. If angle A and angle D are both 78 degrees and angle B is 46 degrees, what is the angle measure of angle E?
46 degrees
Two towns are 20 miles apart. On a map with the scale 1 inch = 40 miles, how many inches apart are the towns?
What is 1/2 in.?
Four students from Ms. Gomez's class brought a lunch today. If Ms. Gomez has 25 students, what percent did NOT bring their lunch?
84%
The equation "d = 55t" gives the distance in miles, "d", that a car can travel in "t" hours. How long will it take to go 247.5 miles?
4.5 hrs.
24 soccer balls can fit into 6 bags evenly. How many bags will it take to store 400 soccer balls?
100
Two rectangles are similar. The smaller rectangle has a length of 8 cm. and a width of 6 cm. The larger rectangle has a width of 9 cm. and a length of ______cm.
12 cm
Jackie went shopping and found a shirt that was on sale for 20% off. The discount came out to $4 off the price of the shirt. What was the original price of the shirt?
$20