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.
2/5
What is the missing number in the proportion? 5/8 = n/48
n=30
What is the Pythagorean Theorem?
a2 + b2 =c2
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?
300 km
What is a ratio?
The comparison of two amounts
Ari can walk 2 miles in 40 min. How long will it take him to walk 5 miles?
100 min.
Five shovels of sand are mixed with 4 shovels of gravel to make cement. How many shovels of gravel are needed for 45 shovels of sand?
36 shovels
A triangle has 2 legs with lengths of 6 cm and 8 cm. What is the length of the hypotenuse?
10 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.
25 ft
What is a proportion?
When two ratios are set equal
Paul used 6 black tiles and 12 white tiles for a pattern. What is the ratio of black tiles to all tiles? Simplify your answer.
1:3
Thirty buses can carry 1500 people. How many people can be carried by 5 buses?
250 people
A triangle has a leg with a length of 5 in and a hypotenuse with a length of 13 in. What is the length of the other leg?
12 in.
In a picture, a snake measures 4 in. long. The scale is 1 in. = 2 ft. Find the actual length of the snake.
8 ft
What are the three ways to write a ratio?
As a fraction (1/2), with a colon (1:2), or in words (1 to 2)
The equation "t = 6.2h" gives the time in hours, "t", that a candle will burn if the candle has a height in inches of "h." How long will it take for a 4 inch candle to burn?
24.8 hrs
Ivy's Fresh Eggs transports its eggs in crates. It takes 2 trucks to carry 80 crates. What is the number of crates 8 trucks can carry?
320 crates
A triangle has a leg with length of 14 yd and a hypotenuse with length of 15 yd. What is the length of the other leg?
√29 yd
Two towns are 20 miles apart. On a map with the scale 1 inch = 40 miles, how many inches apart are the towns?
1/2 in
What is the square root symbol called? √
A radical!
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
What is the missing number in the proportion: 6/8 = n/20
n=15
A triangle has two legs with lengths of 7 cm and 24 cm. What is the length of the hypotenuse?
25 cm
On Fiona's map, the distance from her office to her house measures 3.5 in. The map scale is 1 in. = 16 mi. If Fiona drives back and forth, how many total miles will her round trip be?
112 miles
Besides simplifying each fraction, what else can you do to check and see if two ratios are proportional?
Check the "cross products"