scales & circles numbers & operations proportions everything % unit rates & similar figs...
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Scales & Circles
Numbers & Operations Proportions Everything % Unit Rates &
Similar Figs
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QUESTION:
Draw the Rational Numbers Venn Diagram with the appropriate parts labeled.
Irrational NumberWhole NumbersIntegersNatural NumbersRational Numbers
QUESTION:
Monica’s school day is 6 ¾ hours long. She has seven classes that are ¾ hour long. How many hours is Monica not in class while she is at school?
ANSWER:
1 ½ hours
QUESTION:
Michael hikes at a rate of 2 miles per hour. If he hikes for 6 1/3 hours, how many miles will he hike?
ANSWER:
12 2/3 miles
QUESTION:
It took Jeremy 1 minute and 20 seconds to complete one test problem. How long will it take him to complete 6 problems?
ANSWER:
8 minutes
QUESTION:
Jasmine works as an inspector at the Computer Factory. Over the past year she has noticed that 3 out of 20 computers she inspects are flawed. If Jasmine inspects 80 computers in a day, how many of them can she expect to be flawed?
ANSWER:
12 Computers
QUESTION:
During baseball season last year, Jason made 2 hits for every 5 times that he was at bat. If Jason is at bat 20 times during the first 3 games of this season, about how many hits would you expect him to get?
ANSWER:
8 hits
QUESTION:
The fuel for a chainsaw is a mix of oil and gasoline. The label says to mix 5 ounces of oil with 15 gallons of gasoline. How much oil would you use if you had 45 gallons of gasoline?
ANSWER:
15 ounces
QUESTION:
A van can travel 100 miles on 4 gallons of gas. How many gallons will it need to travel 180 miles?
ANSWER:
7.2 gallons or 7 1/5 gallons
QUESTION:
There were a pair of jeans originally $65. The store was having a 10% sale off all items in the store. How much are the jeans now?
ANSWER:
$ 58.50
QUESTION:
A jewelry supply shop buys silver chains from a manufacturer for c dollars each, and then sells the chains at a 40% markup. Write an expression for the retail price of a silver chain.
ANSWER:
C X 40% = Mark UpC + Mark Up = New price
QUESTION:
A hat’s price rose from $9.99 to $12.99. What was the percent of change rounded to the nearest percent?
ANSWER:
30%
QUESTION:
In 1986 the average price of a gallon of gasoline was $0.93. In 2007 the average price of a gallon of gasoline was $2.77. Find the percent of change.
ANSWER:
197.8% or 198% ( if rounded)
QUESTION:
If you ride your bike 30 kilometers in 2 hours, what is your speed per hour?
ANSWER:
15 km/h
QUESTION:
If you can type 1080 words in 40 minutes, then how many words per minute can you type?
ANSWER:
27 words/min
QUESTION:
A sign post 8 feet tall casts a shadow 6 feet long. A nearby building casts a shadow 51 feet long. How tall is the building?
ANSWER:
68 feet
QUESTION:
There is a window and a wall that are similar in size and shape. The wall measures 15ft by 12 feet. Find the measurement of the height of the window if the length measures 5 ft.
ANSWER:
4 feet
QUESTION:
If you have a pair of similar triangles and one’s base is 19 cm and the height is 38 cm, how tall is the triangle with a base of 8 cm?
ANSWER:
16 cm
QUESTION:
A patio has measurements of 21 cm by 12 cm. Using a scale of 2cm : 1 ft, what is the perimeter of the actual patio in feet?
ANSWER:
33 feet
QUESTION:
How would you write the equation for a circle with a circumference of 24 cm when solving for the diameter?
ANSWER:
D= 24/3.14(Pi)
QUESTION:
The distances between two cities is 325 miles. If the scale on a map reads 1 in : 50 miles, what is the distance between the two cities on the map?
ANSWER:
6.5 inches or 6 ½ inches
QUESTION:
Write the equation to solve for the radius of a circle with a circumference of 36.5 cm.
ANSWER:
R = 36.5/3.14(2)