geometry
Square ABCD has a side length of 10. Circle P is inscribed in square ABCD. What is the area of circle P?
25pi
What is the area of triangle with a height of 10 and a base of 4?
20
In a student’s backpack there are pencils, erasers, notebooks, and rulers in a ratio of 12:9:5:1. The total number of the items in the backpack is 81. If 12 students have identical backpacks, how many total erasers do they have?
324
When Wallace has the flu, he goes through tissues at a rate of 6 tissues per sneeze. At this rate, how many tissues will be needed if Wallace sneezes a total of 315 times?
1890
Did you do your HW?
if more than half of you did, the entire group gets points
Triangle ABC is equilateral. Square P (not shown) has an area that is twice the perimeter of triangle ABC. What is the perimeter of Square P?
24
If a triangle has an angle measure of 60°, then the other two angles must add up to
120°
1 Star Burst = 64.6 Rainbow Coins 1 Star Burst = 3.4 Invisibility Cloaks 7. A new video game allows players to pick up Star Bursts and exchange them for Rainbow Coins and Invisibility Cloaks. Using this conversion, how many Rainbow Coins are equivalent to 1 Invisibility Cloaks?
19
George has to pay for his cell phone bill every
month. The monthly cost is a fixed charge of $40
plus $.50 for every 10 text messages that are sent
or received. On a particular month, George sent
and received a total of 500 text messages. How
much did George have to pay for his phone bill
that particular month (in dollars)?
65
Trevor can complete 1 page of math problems without a calculator in 3.25 hours. He can complete the same page of math problems in 45 minutes if he uses a calculator. Working at this constant rate, how much longer will it take him, in minutes, to complete 6 pages of math problems without a calculator as opposed to using one?
900
A circle is drawn with an area of 81π. If Jean drew a second circle with a radius half the length of the original circle, what would be the circumference of the second circle?
9pi
A right triangle has an angle measure of 27°. What is the measure of the other two angles?
90, 63
Delilah must read 1,200 pages in her biology textbook to study for the midterm. It took her 25 minutes to read the first 30 pages. At this rate, how many additional hours will it take her to finish studying?
16 1/4
Benny, a cake decorator, frosts cakes at a rate of 15 in 30 minutes, working at a constant rate. Benny’s employee Linda can frost cakes at a rate of 4 in 20 minutes. What is the total number of cakes the two of them can frost in two hours?
84
At an All-You-Can-Eat buffet, there are a total of 168 chicken wings available. If a customer wants to eat all of the chicken wings but only has a total of 1 hour to spend at the buffet, what is the slowest speed, in wings per minute, at which he can eat and still finish all of the wings in time?
2.8 wings/minute
Rectangular prism X has a volume of 15 cm3 . Rectangular prism Y has a length twice that of X and width three times that of X. What is the volume of prism Y?
90 cm^3
A triangle has a base of 2, a height of 6, and a perimeter of 18. What is the difference between the area and perimeter of the triangle?
12
When Jada went to visit the planet Tremulon, she exchanged her US dollars for the local currency, Klieons. She exchanged 504 US dollars and received 1,204 Klieons. If she wanted to receive a total of 7,826 Klieons, how many more US dollars would Jada have to exchange?
$2,772.00
A painter is painting a circular table with a diameter of 8 feet. The painter has 3 cans of paint, each consisting of 24 ounces. If 1 ounce of paint can cover half of a square foot of the table, how many more cans of paint will the painter need to purchase in order to finish the project? (Use the approximation for π.)
2
Draw a number line below to show the solution
to the inequality - 1/4< x/8< 1/2?
correct number line should show -2<x<4
A 10-sided polygon has 3 sides each of length x inches, and 4 sides each of length 3x inches. The remaining 3 sides are 3 inches, 7 inches, and 10 inches. If the perimeter of the polygon is 110 inches, what is the value of x?
Triangle X has a height of 20 and a base of 12. If triangle Y and X have equal areas and the height of triangle Y is half that of triangle X, what is the measure of the base of triangle Y?
24
1 dollar = 13 dinglebops
1 dollar = .25 blamfs
Serafina has 182 dinglebops and 24 blamfs. If
she exchanges her dinglebops and blamfs for
dollars, how many dollars would she have?
(Assume there are no exchange fees)
$110
A car travels at a speed of 2,808 inches per minute. The radius of each tire on the car is 3 feet. Approximately how many revolutions does one of these tires make in 2 minutes? (Use the approximation for π.)
25
Notes: Need to convert 2808 inches into feet. 2808 inches = 234 ft. A revolution travels the distance of the circumference
61. The sum of two consecutive integers is -5. If 4
is subtracted from the smaller integer and 2 is
added to the larger integer, what is the quotient
when the larger of the two resulting numbers is
divided by the smaller number?
0