Ratios
Simplify the following ratio:
8 : 24
1 : 3
Avi can walk 2 miles in 40 min.
What is the amount of time it will take him to walk 4 miles?
80 minutes
Find the unit rates for the following problems (calls per 1 hour):
27 calls in 9 hours
3 calls per hour
287 divided by 100 = (please write the decimal form)
2.87
True or false: 20% of 512 = 1/4 of 512
FALSE
Kaleb has 2 pencils and 5 pens in his bag. What is the ratio of pens to total writing utensils?
5:7
5 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 of gravel
If 10 bags of Hot Cheetos cost $3.50, then how much does 1 bag cost?
$0.35
What is 9/75 written in simplest form?
3/25
45 is 25% of what number
180
True or False?
If there are 14 red Skittles, 15 green Skittles, and 21 purple Skittles, the ratio of green to total is 3:10.
TRUE
15:50 simplifies to 3:10 (divide by 5)
Michael's Fresh Eggs transports its eggs in crates. It takes 2 trucks to carry 80 crates.
What is the number of crates that 5 trucks can carry?
200 crates
Ian hikes 2.25 miles in 1⁄2 an hour. If he hikes for 7 hours, how far will he have gone
31.5 miles
The statement 0.35 x 400 could be used to find ________% of 400.
35%
Maureen earned 22 out of 25 points on her last maths test. What percent of 25 points is 22 points?
88%
In the name "Our Lady of the Southern Cross College", what is the simplified ratio of vowels to consonants?
12 : 20 simplifies to 3 : 5
Which is the better buy?
36 books for $250 or 30 books for $209?
36 books for $250
Find the TWO unit rates (dollars per calculator AND calculator per dollar):
5 calculators for $105
21 dollars per calculator AND .05 calculators per dollar.
What percentage is 36 kg of 90 kg?
40%
A computer is on sale for 20% off. If the original price is $600, what is the sale price of the computer?
$480
There are 75 mice in a cage. The ratio of pink mice to white mice is 2:3. How many white mice are in the cage?
45 white mice
Nectarines are sold for $5 per kilogram when they are in season.
Calculate how many kilograms of nectarines can be purchased for $10.50.
2.1 kg of nectarines
Convert the following rates to the units shown in the brackets.
$50/L (cents/mL)
5 cents/mL
Riddle:
1) I am a whole number percent less than 100.
2) In decimal form, my tenths place digit is a 7.
3) In simplified fraction form, my denominator is a 4.
What percent am I?
75%
One apple costs the farmer 22 cents to produce ready for sale. The farmer sells the apple with a price increase of 75% to the retailer, and the retailer sells it to the customer with a price increase of 175%.
Calculate the cost of the apple for the customer rounded up to the nearest cent.
$1.06