Six cocker spaniels have a total weight of 192 pounds. Five golden retrievers have an average weight of 71 pounds. What is the average weight of all 11 dogs? Express your answer as a decimal to the nearest tenth.
How many different assortments of pennies, nickels, dimes and quarters can Ashley’s coin holder contain if it has 15 coins total?
Carla selects 5 fruit-flavored candies from a bowl containing 6 apple, 5 banana and 4 cherry candies. How many possible combinations of candies can Carla select?
Lynn has 3 cats and a row of 4 cat beds. Each cat bed can hold one or two cats, and each cat is in a bed. Listing the number of cats in each bed from left to right, how many unique sequences are there?
Sadako has a 6-inch by 8-inch rectangle of paper. She folds it in half from left to right, and then in half from top to bottom, so that the folds are on the top and left of the resulting rectangle, as shown in steps 1 and 2. Then she cuts the paper along a straight diagonal line from the bottom right corner to the top left corner, as shown in step 3. When she unfolds the paper, how many separate pieces are there?
Let $a↑b=a^2+b^2$, what is the value of $[(3↑1)↑2]-[(3↑(1↑2)]$?
A triangle has vertices $A(-1,2)$, $B(5,8)$ and $C(-1,-7)$. Point $D(x,y)$ is on side $BC$, and the area of triangle $ACD$ is half the area of triangle $ABC$. What is the value of $x+y$?
A pair of six-sided dice are rolled. What is the probability that the product of the numbers shown is a multiple of 3? Express your answer as a common fraction.
How many more quadrilaterals than triangles are in the figure shown?
What is the value of the expression $\dfrac{22^2-17^2}{20^2-19^2}$?
The graph of the line $y=6x-5$ intersects the graph of the parabola $y=x^2$ at two points $(x,y)$. What is the distance between those two points? Express your answer in simplest radical form.
A set of double-six dominoes consists of 28 dominoes. Each domino has two ends, with 0 to 6 dots on each end and every possible combination occurring on exactly one domino. For example, there is exactly one of the domino shown, which has 3 dots on one side and one dot on the other. How many total dots are there on all 28 dominoes?
Micah is at a donut shop and wants to choose his own dozen. There are ample glazed, chocolate and jelly donuts. If Micah wants at least two jelly donuts, how many different combinations of donuts can Micah use to create a box of a dozen donuts?
For a school project, Yun records the weather at his house every day for a 20-day period in September. On what percent of the days did it rain? Express your answer to the nearest percent.
Michelle charges \$45 per hour for tutoring. She is saving up to buy a \$14,000 car. How many full hours must she tutor to earn enough money to purchase the car?
A certain burger chain sells, on average, 75 burgers every second. How many burgers are sold each hour? Express your answer in scientific notation to two significant figures.
A specialty candy is packaged in a box holding only 1 candy, in a box holding 5 candies or in a box holding 16 candies. The company receives an order for 238 candies. What is the least number of boxes needed to exactly fill this order?
At Bruno’s shipping warehouse, any item weighing 5 pounds or less costs \$3.50 to ship. For items over 5 pounds, the item costs \$3.50 plus \$1.25 for each additional pound. If Rachel paid \$14.75 to ship a package, how many pounds did it weigh?
The bar graph shows the quiz scores received by the students in Ms. Novak’s Civics class. What was the mean quiz score? Express your answer as a decimal to the nearest hundredth.
The sum of four positive integers is 7. What is the least possible sum of their reciprocals? Express your answer as a mixed number.
The great pyramid of Giza is a pyramid with a square base that is 230 meters on each side, and it is 145 meters tall. It is built mostly of limestone that has a density of 2900 $kg/m^3$. Assume that the entire pyramid is solid. What is the pyramid’s mass, in kilograms? Express your answer in scientific notation to three significant digits.
The three-digit number ABC is 675 more than the three-digit number DEF. If the letters A through F represent distinct positive digits other than 6, 7 or 5, what is the value of ABC?
Roy juggles three balls—one red, one orange and one yellow. He starts by throwing the yellow ball into the air while the red ball is in his left hand and the orange ball is in his right hand. Every second, the yellow ball takes the place of the red ball, the red ball takes the place of the orange ball, and the orange ball takes the place of the yellow ball. How many seconds after starting will he take the red ball in his right hand for the fifth time?
A duck quacks every 3 minutes, a cow moos every 7 minutes, and a horse neighs every 12 minutes. At noon, the animals all sound off together. What is the next time that all three sound off together again?
There are 30 balls, each a different color, and 30 boxes in the same 30 colors. One ball is placed in each box. How many ways can the balls be placed so that exactly 3 of the balls do not match the color of the box they are in?
Nine fair coins are flipped. What is the probability that the total number of coins that land heads up is a multiple of 3? Express your answer as a common fraction.
A certain cube has volume $n\ ft^3$ and surface area $n\ in^2$. If the integer $n$ is written in the form $n=2^b\cdot 3^b$ for integers $a$ and $b$, what is the value of $a+b$?
How many rectangles of any size appear in the figure shown?
In the figure shown, lines AB and CD are parallel, line AB passes B through the center of circle O, AB = 12 cm, and the distance between lines AB and CD is 3 cm. What is the area of the shaded region? Express your answer as a decimal to the nearest tenth.
The numbers 1 through 10 are marked with points on the number line as shown. Two distinct points are chosen at random from these points. What is the expected value of the distance between the two points? Express your answer as a decimal to the nearest tenth.
Madison creates a batch of orange paint by mixing 1 pint of red paint with 1.5 quarts of yellow paint. How many more gallons of yellow paint does she need to add to the mixture to produce a 2-gallon batch of orange paint? Express your answer as a common fraction.
Convex quadrilateral ABCD has AB = 4, BC = 5, AC = 5, AD = 3 and CD = 4. What is the area of quadrilateral ABCD? Express your answer as a decimal to the nearest tenth.
At the end of Day 1, Larry has \$40 and Moe has \$9. Every day, Larry spends \$1.50 while Moe saves \$1.50. What is the first day Moe will end with more money than Larry?
A positive number $n$is $25\%$ of $\dfrac{6}{5}$ of its square. What is the value of $n$? Express your answer as a decimal to the nearest tenth.
