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:

List all the categories 0 is in.

ANSWER:

Whole, Integer, Rational, Real

QUESTION: True/False

All negative numbers are integers

ANSWER:

False

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:

What percent of 126 is 22?

ANSWER:

17.5% or 17 29/63%

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)

QUESTION:

On a map, the distance between Greenville and Fairview is 7 ¼ inches. If the map uses a scale of ½ inch : 40 miles, what is the actual distance between the cities?

ANSWER:

580 miles