Time Changes

Due to timekeeping confusion on the American railroads in the mid-19th century, a system of standard time zones was proposed. In 1918 the Standard Zone Time and Daylight Saving Time were established in the Standard Time Act. Later, the Uniform Time Act of 1966 was passed promoting the adoption of uniform time within the standard time zones. The map below shows six of the U.S. time zones.

Ghost of a Chance

The letters of the words GHOST, GHOUL, TRICK, TREAT and CANDY were written on 25 index cards, one letter per card. If the cards are shuffled and one card is selected at random, what is the probability that the card contains one of the letters in the word GHOST? Express your answer as a common fraction.

Three Little Piggy Banks

When Lucas dumped the coins out of his piggy bank, he noticed that there were only nickels and dimes, and the number of nickels was twice the number of dimes. If there were 50 nickels, what was the total value of the coins Lucas dumped out of his piggy bank?

Autumn Leaves

The Wilsons traveled to Shenandoah National Park to view the fall foliage at its peak. The driving time from their home to the park was 2 hours. For the first third of the time they spent driving to the park, the Wilsons were in traffic and averaged 42 mi/h. During the second third of the two hours, they traveled at an average speed of 66 mi/h. For the final third of their trip, the Wilsons traveled on local mountain roads and drove an average of 30 mi/h. What is the total distance the Wilsons traveled to get to the park from their home?

A Tasty Treat

Isabella went to the local ice cream shop with her three children, Christopher, Nina and Maria. Isabella and the kids each ordered a sundae with two scoops of ice cream and various toppings. A sundae with two scoops of ice cream costs $2.99, but the final cost of each sundae varies based on the number of toppings added. If the average cost, including sales tax, of the sundaes Isabella and her children ordered was $3.73, what was the total cost for all four sundaes?

School Days

Mrs. Marble refers to the three students named Ashley in her 3rd period gym class as Ashley G., Ashley E. and Ashley V. Mrs. Marble needs to divide the class to make 6 teams of 5 players for the dodge ball tournament. Each student has been assigned a number from 1 to 30. Mrs. Marble has placed 30 cards, each containing a number from 1 to 30, in a bowl. She will randomly select groups of 5 cards, without replacement to make the teams. What is the probability that all three Ashleys will be on the same team? Express your answer as a common fraction.

Back to School Shopping

Bethany is going back to school shopping. She needs to buy notebooks and notices that two stores are running back to school sales. Store A sells notebooks for 48 cents each and is having a 25% off sale. Store B sells notebooks for 40 cents each and is having a 20% off sale. If she wants to get the best deal, which store should she go to, and how much cheaper are the notebooks at this store?

Let's Use Logic

The following are answer choices to a multiple choice question. If only one of the answers is correct, which letter choice must be the correct answer?

Some Math with JULY

When the letters of the alphabet are assigned their integer values (A = 1, B = 2, C = 3, …, Z = 26), the word-product for JULY is the product of the letter-values for each of the letters in JULY.  When the square root of JULY’s word-product is put into its simplest radical form of ab, where b has no perfect-square factors greater than 1, what is the value of b?

Vacation Planning Math

Dawn is planning a vacation. The dates of her vacation are September 18 through September 24, which will require her to take five 8-hour vacation days off from work. She accrues three-and-a-third vacation hours each payday, and her paydays are always the 15th and last days of each calendar month.  At the end of the day on July 15, Dawn’s total accrued vacation hours reached exactly 32 hours. If Dawn takes five vacation days in September, but uses no other vacation time, how many total vacation hours will she have at the end of the day on October 15?