Alexia designed a logo 2 inches wide and 1.5 inches tall to be used on her school’s notebooks. The school wants the logo on the notebook to be 8 inches wide. How tall, in inches, will it be if it is enlarged proportionately?
A square of area 6 square units is split into rectangles of areas 3, 2 and 1 square units, as shown. What is the ratio of the length of the longer side of the gray rectangle to the length of the shorter side of the gray rectangle? Express your answer as a common fraction. 2 1 3
BoatWorks built 3 canoes in January of this year and then each subsequent calendar month they built twice the number of canoes they had built the previous month. How many total canoes were built by BoatWorks by the end of March of this year?
Bob can run 1 mile in the same time that Gill can run of a mile. Cindy can run of a mile in the same time that Gill can run 1 mile. If each person runs at those rates, how many miles will Cindy run in the time it takes Bob to complete an 8-mile run? 5 6 3 4
The Norman H.S. math club has twice as many male members as female members. Twenty percent of the male members and 30% of the female members participated in a math contest. What fraction of those members participating in the math contest were female? Express your answer as a common fraction.
When Julian spends his weekly allowance at the bookstore, his father lets him buy a book whose regular price is double his allowance. However, he gets a 10% discount on the price of the book. What fraction of the final purchase price is Julian’s weekly allowance? Express your answer as a common fraction.
Each term of a sequence, after the first term, is inversely proportional to the term preceding it, and the constant of proportionality stays the same. If the first term is 2 and the second term is 5, what is the 12th term?
Math City has eight streets, all of which are straight. No street is parallel to another street. One police officer is stationed at each intersection. What is the greatest number of police officers needed?
Paint is to be mixed so that the ratio of red paint to white paint is 3 to 2. If Ben wants to make 30 cans of the mixture and all cans hold the same volume of paint, how many cans of red paint will he need?
Kyle’s birthday party in 2007 cost d dollars per person and p people attended. In 2008, the cost per person doubled and the number of people attending the party also doubled. What is the ratio of the total cost of the party in 2007 to the total cost of the party in 2008? Express your answer as a common fraction.
An integer is randomly selected from the integers 0 through 99, inclusive. What is the probability that the integer is in the range 10 through 20, inclusive? Express your answer as a common fraction.