Number Sense
A submarine is at a depth of -410 meters from sea level. It descends 1,640 meters.
What is the new depth, in meters, of the submarine?
NO CALCULATORS
-2050
Select a word or phrase for each blank box to complete the statement defining a proportional relationship.
A proportional relationship can be represented by the graph of a
point
line
that passes through
only the x- axis
only the y-axis
the origin
line
the origin
A catering company charges $8.25 for each boxed lunch ordered by a customer.
Create an equation to show the total amount, c, in dollars charged to the customer for b boxed lunches.
c=8.25b
A two-dimensional cross section is created by slicing a pyramid parallel to its base.
Which statement best describes the cross section?
A. the same shape as the base but a larger area
B. the same shape as the base but a smaller area
C. a different shape than the base and a larger area
D. a different shape than the base and a smaller area
B
Dan surveys 10 of the 24 students in his class about the number of people in their families. The results of Dan's survey are given.
3, 3, 4, 3, 6, 5, 7, 3, 4, 2
What is the mean?
4
Terri shops at a store where all items are on sale for 20% off. One of the items she wants to buy had an original price of $40.
Select a value to complete the statement that describes the sale price.
The sale price is equal to 40 times
0.20
0.80
20
80
0.80
Alice needs 2.25 yards of fabric. The store sells fabric in 3/4-yard bundles.
How many bundles does Alice need to buy?
3
Isaac performs at a fair. He earns $100 plus $3 for every ticket sold. He wants to earn more than $450. Which inequality can be used to find the number of tickets, t, that need to be sold for Isaac to earn more than $450?
A. 1/3t + 100 > 450
B. 1/3t + 450 > 100
C. 3t + 100 > 450
D. 3t + 450 > 100
C
The circumference of a circle is 50.24 centimeters. What is the radius, rounded to the nearest tenth of a centimeter, of the circle?
8
Keeley is trying to find the average weight of an apple in a crate of 50 apples. She picks 10 apples at random and records their weights, in ounces. The weights are given.
8, 9.2, 9, 8, 11.4, 12.1, 14, 15.6, 12.6, 8
Based on this sample, that is the mean weight, in ounces, of an apple in the crate? Round to the nearest tenth.
10.8
An expression is given.
-2 + 3 4/5 + (-2 1/8)
NO CALCULATORS
-13/40
Darcy pays $37.95 for a 25.3-kilometer taxi ride.
How much does Darcy pay, in dollars, per kilometer?
$1.50
Select the two expressions that are equivalent to
4(1/8x - 1) - 1/2(2/3x - 6)
A. 1/2x - 4 - 1/3x - 3
B. 1/2x - 4 - 1/3x +3
C. 1/6x - 7
D. 1/6x - 1
E. 1/6x + 5
B, D
Which expression represents the area of a circle with a radius of 7 units?
A. 7 * 2 * pi
B. 7 * 7 * pi
C. 7 * pi * pi
D. 3.5 * 3.5 * pi
B
Donte has a bag of pencils that have both a color and a pattern.
The colors are: red, orange, yellow, blue, green, purple.
The patterns are solid and striped.
What is the probability that Donte gets a purple pencil regardless of the pattern?
1/6
Jeremy places an order for 200 headsets from a supplier for his store. The cost of each headset is $44.50. Jeremy pays 25% of the total amount at the time of placing the order. He needs to pay the remaining amount at the time of delivery.
What amount does Jeremy need to pay at the time of deivery?
$6675
Kaya's family spends $105 to rent a boat for 7 days. The total cost, c, of the boat rental is proportional to the number of days, d, the family rents the boat.
Create an equation using c and d to represent the proportional relationship?
c=15d
Daisy and Eva have $115 total to spend at a park. It costs $7.50 each to get into the park, and $25 per hour to rent one jet ski.
What is the maximum amount of time Daisy and Eva can rent two jet skiis?
2
A container in the shape of a rectangular prism has a rectangular base that measures 7.4 inches by 9.1 inches. The volume of the prism is 370.37 cubic inches. What is the height?
5.5
What is the probability of rolling a blue or red side?
4/6
Marshall spends $5.50 at the grocery store and 4 times that amount at the bookstore. Now he has $7.75 left.
How much money did Marshall have before going to both stores?
A. $14.25
B. $22.00
C. $29.75
D. $35.25
D
At Olivia's Burger House, each burger costs the same price. Nate buys 5 burgers for $47.50. What is the ordered pair that represents the unit price for 1 burger?
(1, 9.50)
George has saved $264 but now needs $1800 for a down payment on a car. George works 32 hours every week and earns $16 per hour. He will deposit half of his weekly earnings into his bank account each week.
Complete the equation that George can use to find after how many weeks, w, he will have $1800 in his bank account.
_____ + _____w = 1800
264, 256
A builder designs a room. The scale of the drawing is 1 inch = 2 feet. The length of the room is 7.25 inches and the width is 4.75 inches. What is the area of the room?
137.75 square feet
Jeff is conducting a survey of students at his school to find out which candidate for school president they prefer. There are 100 sixth graders, 200 seventh graders and 100 eighth graders at his school.
Which sample of 60 students should Jeff take to get the best results?
A. 60 randomly selected students from his school
B. the first 60 students that enter the school on a Wednesday
C. 20 randomly selected students from the soccer team in each grade
D. 60 randomly selected students from the seventh and eighth grade
A