Đề thi Olympic Tiếng Anh lớp 8 vòng 6 năm 2013 - 2014

The area of the shaded region is 78 square inches. All angles are right angles and all measurements are given in inches. What is the perimeter of the non-shaded small rectangle region?

How many different isosceles triangles have integer side lengths and perimeter 23?

What's the value of x in the equation above?

An athlete travels from point A directly to point B. If he runs 3/4 of the way, walks 1/9 of the way, and jogs the last 10 miles, what is the distance from point A to point B?

Segment RS is a diameter of a circle with center O. If T is a point on the circle such that angle TRS measures 50 degrees, find the measure of angle OTS.

Find the distance from the point (7, 9) to the line x - y = 0.

At which of the following x values does the curve y = (x - 1)2 - 4 cross the x axis?

How many different paths are there between A and B? Each path must travel arcs of the circle only in a clockwise direction. On the straight line segments, the path can go only from a smaller circle to a larger circle. No arc or line segment can be travelled more than once in the same path.

Joe had walked half way from home to school when he realized he was late. He ran the rest of the way to school. He ran 3 times as fast as he walked. Joe took 6 minutes to walk half way to school. How many minutes did it take Joe to get from home to school?

A farmer keeps three kinds of animals: cows, chickens and pigs. The quantities change from year to year. Last year, for instance, all but two of his animals were cows, all but two were chickens and all but two were pigs. How many different possibilities are there for the total number of animals he had on his farm last year?