Numbers and Quantity Review

Rational vs Irrational

100

The product of 4pi and 4/pi is best described as:

Rational or Irrational

Rational

200

Which of the following is Irrational:

3 x 4

(Square Root of 5)/3 x 1/3

5 x 1/2

(Square Root of 5)/3 x 1/3

300

The product of (square root of 4) and 1/4 is _________ because a ______ number and a rational number is ______________

Rational or Irrational

Rational

400

What is the product of 3/2pi and 4pi/5

_________

Rational or Irrational

6/5

Rational

500

The value _____ is irrational because the quotient of an irrational number and a nonzero rational number is always irrational. 

3/2

pi/3

pi/0

pi/3

Quantity

100

If 1 ounce of water weighs the same as 1.04 dry ounces, how much do 20 ounces of water weigh in dry ounces?

20.8

200

The owner of a carwash wants to figure out the average time it takes his employees to wash a single car. In 1 week, 56 cars are cleaned are cleaned by 4 different workers. Each employee works 5 hour shifts. 

Which unit is most appropriate to calculate this information?

number of hours per car washed

number of employees per car washed

number of cars washed per week

number of shifts worked by employees

Number of hours per car washed

300

Which unit could have the unit in^2?

^{length of the mailbox}

^{height of the post holding up the mailbox}

^{area of the mailbox door}

^{volume of the mailbox}

area of the mailbox door

400

The Countrywide building has a square base. It has 45 floors of offices, all of which have about the same number of windows. If there are 8 windows on 1 side of the 23rd floor, what is a reasonable estimate for the number of windows in the entire building?

1,440 windows

Numbers

100

Helena is a contractor building a 3-story house. What is the best estimate for the heightof the house, in feet, excluding any attic or roofing on the house?

3ft

18ft

30ft

48ft

30 ft

200

Sabina is trying to determine the surface area of a cube with side length 9 inches. Which units should she use to complete her answer, and why?

inches

square inches

cubic inches

inches to the sixth power

Square Inches

300

Which of these quantities best describes a city with large amounts of pollution?

A city with a:

large population

large number of buildings

large number of factories

large amount of water bodies

large number of factories

400

Which variables should someone consider when setting their rates for babysitting?

age of the children

color of the home

number of children

You make pick more than 1

age of children and number of children

500

For a holiday celebration, Andre's neighborhood is planning a fireworks show. Andre is trying to estimate the length of time the fireworks show will take. 

A firework is launched into the air before exploding. Which measurements is best used to estimate the height of the firework, in whole numbers, when it explodes?

mm

cm

m

km

meters

Reasoning

100

It takes Hector about 3 hours to weed his garden every week. If Hector's daughter Melissa helps him one week, which is the most reasonable estimate of the total time needed to weed the garden that week?

180 min

150 min

90 min

30 min

90 min

200

A bedroom measures 13.62 feet long and 11.5 feet wide. What is the most accurate measure of the area of the bedroom, in square feet?

156 ft²

156.6 ft²

156.63 ft²

156.633 ft²

156.63 ft²

300

What measure gives the most precise length of a guitar?

4.2 inches

42 inches

4.2 feet

42 feet

4.2 feet

400

The dimensions of a rectangle are 2.54cm x 3.64 cm. What represents the most accurate result for the area of the rectangle?

6cm²

7cm²

8cm²

9cm²

9 cm²

500

Jenny buys 3 t-shirts for $100 in a sale. To which decimal place does Jenny need to round in order to find the cost of 1 t-shirt?

thousandths

hundredths

tenths

ones

hundredths