Sample Contests

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[1] Express the following sum as a simple fraction in lowest terms:

1 × 2

2 × 3

3 × 4

4 × 5

5 × 6

Please give your answer:

[2] There were a certain number of people meeting in a room at the very beginning. During the meeting process,

of the people left the meeting and 45 new people joining the meeting. The number of people in the meeting at the end is

of the number at the very beginning. How many people left the meeting during the process?

[3] 6 copies of a book cost less than $7. However, 7 copies of the same book cost more than $8. At least how many cents would a single copy of the book cost?

Please give your answer:

[4] Two cars are driving towards each other from place A and place B, both at a constant speed. They started out at the same time. When they met for the first time, the meeting place was 73.99 miles from place A. Both cars were immediately drove back when they reached place B and place A. When they met for the 2nd time, the distance between the meeting place and place A was 49% of the distance between place A and place B. Find the distance between place A and place B (in miles).

Please give your answer:

[5] Eric wants to rent a car for a round trip with a total of 130 miles. There are four plans available as below. Which is the best choice for Eric?

Please select your answer:

A) Plan A charges $61.00 with an additional charge of 15 cents per mile.

B) Plan D charges $70.00 with an additional charge of 10 cents per mile.

C) Plan C charges $90.00 with no mileage fee.

D) Plan B charges $51.00 with an additional charge of 20 cents per mile.

[6] A spinner shown in the diagram has 7 equal sections. The probability of the pointer falling into each section is the same (Assume the pointer will never fall on a line between two sections). What is the probability that the pointer falls on an even number?
Best GT Prep

[7] In the triangle ABC, BD bisects ∠ABC. What is the sum of u + v in degrees if ∠BAC = 46°, and ∠BDC = 71°. Note the diagram might not be drawn to scale and all the units are in degrees(°).
Best GT Prep

[8] How many whole numbers are there between 10 and 970 that have a 5 or 9 in their ones digit?

Please give your answer:

[9] One loaf of bread and 7 rolls cost $4.05. At the same prices, two loaves of bread and 6 rolls cost $4.50. How much does a roll of bread cost in dollars?

Please give your answer:

[10] Jennifer went to a store and spent half of her money plus $9 more. She went to a second store and spent half of her remaining money plus $9 more. She then had $9 left. How many dollars did she have when she went to the first store?

Please give your answer: