For a list of eight positive integers, the mean, median, unique mode and range are 8. What is the greatest integer that could be in this set?

In how many ways can each of the digits 3, 5 and 7 be used exactly once to replace X, Y and Z to make the true inequality 0.XY < 0.Z?

Carrick is learning to read. During his first lesson, Carrick read 50 words, and during each lesson thereafter, he read 10 more words than he read during the lesson before. If Carrick had one reading lesson each day for 30 days, what is the total number of words he read in 30 lessons?

How many positive integers m are there such that the least common multiple of m and 150 is 300?

If a ▲ b = |a – b|, then what is the sum of all numbers x such that (3 ▲ x) ▲ 8 = 2?

If \(f\left(x\right)=3x-4\) and \(g\left(x\right)\) = x\(^2\) − 2x + 5, what is the value of \(g\)(−4) + \(f\)(10)?

The amount of water in a reservoir declines 10% each year. What is the minimum number of whole years it will take until less than half of the original amount of water remains?

The largest circular pizza ever made had a diameter of 122 feet 8 inches. To divide the pizza among 150 contest winners, the chef made straight cuts through the center of the pizza, all equal in length to its diameter. If all the slices had the same area, how many inches were there between slices, measured along the pizza’s circumference? Express your answer as a decimal to the nearest tenth.

Asanji and Allen are hired to paint the fence around a neighbor’s property. Working alone, Allen can paint the entire fence in 9 hours, and Asanji can paint the same fence, working alone, in 7 hours. Working together, how many minutes will it take them to paint two-thirds of the fence? Express your answer as a decimal to the nearest tenth.

On Oscar’s trip to school, he took 50 minutes to walk 2.7 miles. He walked at a constant speed for the first 40 minutes, then increased his speed by exactly 1 mi/h. How fast was Oscar walking for the first 40 minutes of his trip? Express your answer as a decimal to the nearest hundredth.

Laurie had 30 coins, all dimes and quarters, in a jar. Every morning for five days, she took out a quarter; then she replaced it with a dime when she got home from school. After the five days, Laurie had twice as many dimes as quarters. How many quarters were initially in Laurie’s jar?

A 32-foot by 15-foot by 8-foot hole is being dug in Winnie’s yard for a rectangular swimming pool. If the truck hauling away the dirt holds a maximum of 6 cubic yards, how many truckloads of dirt will be taken away? Express your answer as a whole number.

Tootie Frootie candy is cylindrical in shape and comes in two different sizes. One size is 1.25 inches long with a circumference of 2 inches, and the other is 3.25 inches long and has twice the volume of the first. What is the circumference of the larger size? Express your answer as a decimal to the nearest hundredth. 

Octavio bought a very unpredictable stock. Its value increased by 10% each day on Monday, Tuesday and Wednesday, was unchanged on Thursday, then dropped by 30% on Friday. Octavio mistakenly thought that the 30% loss was offset completely by the three 10% gains. By what percent did the stock in fact decrease for the week? Express your answer to the nearest hundredth

What is the area of a rhombus with side length 10 inches and diagonal lengths that differ by 4 inches?

Margo is currently twice as old as Joy was three decades ago, and Joy is currently three times as old as Margo was two decades ago. How old was Joy when Margo was born?

Billie is downloading a video game to her computer. When she checks at 11:15 a.m., her computer indicates that the download is 35% complete. When she checks again at 11:30 a.m., the download is 80% complete. Assuming the video game is downloaded at a constant rate, Billie should expect the download to be complete after an additional a minutes b seconds. If a and b are whole numbers and b < 60, what is the value of a × b? 

A car service charges $2.40 for the first quarter of a mile traveled and then charges $0.40 for each additional fifth of a mile. How many miles can a rider travel for $10? Express your answer as a decimal to the nearest hundredth.

Mrs. Lowe is buying lunch for her class of 25 students. A large pizza that serves three people costs $8, and a giant sub that serves four people costs $9. If pizzas and subs cannot be purchased in part, what is the least amount it will cost Mrs. Lowe to feed all the students in her class?

What common fraction is equal to the sum \(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+...+\dfrac{1}{512}\)?