Rithvik's Blog 11+

A triangle has two angles measuring 65 degrees and 35 degrees. What is the measure of the third angle in the triangle?

  In a circle with radius 10 cm, two chords AB and CD intersect at point E inside the circle. The distances from E to the points A, B, C, and D are 8 cm, 6 cm, 9 cm, and 7 cm respectively. Calculate the area of the quadrilateral ABDC.

The exterior angles of a regular polygon are given by (3x - 10) degrees and the interior angles are given by (4x + 5) degrees. Determine the number of sides of the polygon.

A triangle has side lengths of 8 cm, 12 cm, and 15 cm. Determine whether the triangle is a right triangle or not

 A cylindrical water tank has a radius of 5 meters and a height of 12 meters. If the tank is filled to 80% of its capacity, calculate the volume of water in the tank, in cubic meters. Give your answer in terms of pi.

A right-angled triangle has one side with a length of 5 units and another side with a length of 12 units. Calculate the length of the hypotenuse of the triangle.

A cylindrical tank has a diameter of 12 meters and a height of 8 meters. The tank is filled with water up to a height of 6 meters. Calculate the volume of water in the tank, in cubic meters, correct to the nearest whole number. (Use π ≈ 3.14)

 One angle of an isosceles triangle is 80°. What are the other angles?  There are two possible solutions to this question. Answer 1: ______°    ______° Answer 2: ______°    ______°

 Find the missing angles a˚ and b˚:

 Find the value of χ in the diagram below

1a) Find angle x and y in the following diagram? b) Next, Find Angle b in the diagram below    Here is the backwards 'z' I was talking about in 1b)

The area of this regular Hexagon is 48 m². What is the shaded triangle's area? Answer: This is the picture of what I meant in the comment:

 

Triangles XY Z and PQR are drawn on a square grid. What fraction of the area of triangle XY Z is the area of triangle PQR? Give your answer in simplest form.

This regular pentagon has a square inside with it's vertices touching the midpoints of the pentagon. Find the value of the missing angle.

What is the volume of this cone with a height of 5 and a radius of 3. A cone