Integrated Math 1
Monday’s RAP #2
Name ___________________________
This worksheet is due on Monday, September 24th. Show your work or explain how you got your answers!
Check your understanding and skill with ratios and proportions by solving the following problems.
1.
It took Janice 6 hours to fly from Baltimore to San Francisco, a distance of 2,464 miles.
a) What speed was she traveling?
b) How much time will it take her to fly from Chicago to San Francisco which is 1,863 miles away is the
plane travels at the same speed?
2. Tony pays $1.98 for 2 pounds of apples at the grocery store. How much will 5 pounds of apples cost?
3. The price of a pizza depends on the area of the pizza. The shape of both pizzas is circular.
a) What is the area of a 6-inch diameter pizza?
b) What is the area of a 12-inch diameter pizza?
c) If a 6-inch-diameter pizza costs $4.50 how much will a 12-inch-diameter pizza cost if the cost is based
on the area of the pizza?
4. A company that does market research for radio stations found that 50 people out of a sample of 400 people
listened to radio station WXKR. If 600 people had been contacted, how many would you expect to listen to
WXKR?
5. A rectangular tank contains a volume of 252 mL of water when filled to a height of 12 cm.
If the tank is filled to a height of 18 cm, how much water will it contain?
6. The Super-size box of cereal contains 14 ounces for $3.85
The Large-size box contains 9.5 ounces for $2.59?
a) What is the price per ounce for the Super-size box?
b) What is the price per ounce for the Large box?
c) Which is the better buy (cheaper price per ounce) on cereal?
7. Compute each of the following problems relating to fractions. Show all calculations and give all answers as
reduced fractions.
a.
2 10
 
5 12
b.
8 1
 
3 4
c.
7 2
 
10 8
d.
4 2
 
5 3
8. Solve each of the following problems. Show calculations.
a. 30 is 15% of what number?
b. What percentage of 90 is 150
c. 22% of 40 is what number?