IMO Level 2- Mathematics Olympiad (SOF) Class 9: Questions 36 - 40 of 109

Question

Among six friends L, M, N, P, Q and S, each having a different height, N is taller than Q and P but shorter than M. P is taller than only Q while S is shorter than only L. Which of the following pairs represents the tallest and the shortest respectively among the five friends?

Question

PS and QT are the medians of and . If cm, find the value of RU.

Question

OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If , find the area of the rectangle.

Question

If ‘ means ‘A is added to means ‘A is multiplied by means ‘A is divided by means ‘B is subtracted from A’; then number of boys (B) in a class is equal to one-fourth of three times the number of girls (G) in the class can be represented as________.

Question

Fill in the blanks.

A circle is the collection of all points in a plane which are P from a fixed point in the plane. The fixed point is called Q of the circle and fixed distance is called R of the circle. A circle divides the plane on which it lies into S parts.