Question 1

?

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Question 2

Ahn chooses a two-digit integer, subtracts it from 200, and doubles the result. What is the largest number Ahn can get?

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Question 3

Which of the following numbers is the largest?

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Question 4

Julie is preparing a speech for her class. Her speech must last between one-half hour and three-quarters of an hour. The ideal rate of speech is 150 words per minute. If Julie speaks at the ideal rate, which of the following number of words would be an appropriate length for her speech?

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Question 5

There are many two-digit multiples of 7, but only two of the multiples have a digit sum of 10. The sum of these two multiples of 7 is

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Question 6

In the number the value of the place occupied by the digit 9 is how many times as great as the value of the place occupied by the digit 3?

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Question 7

The area of the smallest square that will contain a circle of radius 4 is

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Question 8

Walter gets up at 6:30 a.m., catches the school bus at 7:30 a.m., has 6 classes that last 50 minutes each, has 30 minutes for lunch, and has 2 hours additional time at school. He takes the bus home and arrives at 4:00 p.m. How many minutes has he spent on the bus?

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Question 9

Three students, with different names, line up single file. What is the probability that they are in alphabetical order from front-to-back?

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Question 10

What fraction of this square region is shaded? Stripes are equal in width, and the figure is drawn to scale.

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Question 11

Let mean the number of whole number divisors of . For example, because 3 has two divisors, 1 and 3. Find the value of

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Question 12

Find

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Question 13

Three bags of jelly beans contain 26, 28, and 30 beans. The ratios of yellow beans to all beans in each of these bags are , , and , respectively. All three bags of candy are dumped into one bowl. Which of the following is closest to the ratio of yellow jelly beans to all beans in the bowl?

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Question 14

There is a set of five positive integers whose average (mean) is 5, whose median is 5, and whose only mode is 8. What is the difference between the largest and smallest integers in the set?

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Question 15

Each side of the large square in the figure is trisected (divided into three equal parts). The corners of an inscribed square are at these trisection points, as shown. The ratio of the area of the inscribed square to the area of the large square is

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Question 16

Penni Precisely buys $100 worth of stock in each of three companies: Alabama Almonds, Boston Beans, and California Cauliflower. After one year, AA was up 20%, BB was down 25%, and CC was unchanged. For the second year, AA was down 20% from the previous year, BB was up 25% from the previous year, and CC was unchanged. If A, B, and C are the final values of the stock, then

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Question 17

A cube has eight vertices (corners) and twelve edges. A segment, such as , which joins two vertices not joined by an edge is called a diagonal. Segment is also a diagonal. How many diagonals does a cube have?

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Question 18

At the grocery store last week, small boxes of facial tissue were priced at 4 boxes for $5. This week they are on sale at 5 boxes for $4. The percent decrease in the price per box during the sale was closest to

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Question 19

If the product

, what is the sum of and ?

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Question 20

A pair of 8-sided dice have sides numbered 1 through 8. Each side has the same probability (chance) of landing face up. The probability that the product of the two numbers that land face-up exceeds 36 is

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Question 21

Each corner cube is removed from this

cube. The surface area of the remaining figure is

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Question 22

A two-inch cube of silver weighs 3 pounds and is worth $200. How much is a three-inch cube of silver worth?

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Question 23

I There are positive integers that have these properties: the sum of the squares of their digits is 50, and each digit is larger than the one to its left. The product of the digits of the largest integer with both properties is

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Question 24

Diameter is divided at in the ratio . The two semicircles, and , divide the circular region into an upper (shaded) region and a lower region. The ratio of the area of the upper region to that of the lower region is

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Question 25

All of the even numbers from 2 to 98 inclusive, excluding those ending in 0, are multiplied together. What is the rightmost digit (the units digit) of the product?

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Answer Keys

Question 1: C
Question 2: D
Question 3: B
Question 4: E
Question 5: A
Question 6: C
Question 7: D
Question 8: B
Question 9: C
Question 10: C
Question 11: A
Question 12: D
Question 13: A
Question 14: D
Question 15: B
Question 16: E
Question 17: E
Question 18: B
Question 19: D
Question 20: A
Question 21: D
Question 22: E
Question 23: C
Question 24: C
Question 25: D