CUET UG General Test — Geometry previous year questions with solutions.
Find the coordinates of centroid of $\triangle ABC$ if the mid point of BC is D(2, 4) and vertex A is (2, -3).
The sides of a triangle are in the ratio $\frac{1}{3} : \frac{1}{4} : \frac{1}{5}$. If the semi-perimeter of the triangle is 47 cm, then what is the length of the longest side?
The area of four walls of a rectangular hall having length 18 m and height 8 m is 448 m$^2$. What is the breadth of the hall (in m)?
64 solid iron spheres of radius r are melted to form a sphere of radius R. Find R : r.
Find the length of the arc of a circle with radius 5 cm, if its central angle is $70^\circ$.
64 small solid iron spheres of radius 'r' are melted to form a big sphere of radius R. If S and S' are surface areas of the small and the big sphere respectively, then find the ratio S' : S.
If $3\sin\theta - 4\cos\theta = 0$, then value of $\tan\theta\cdot\csc\theta$ is :
Radius of the base and height of a cone are 5 cm and 12 cm respectively. Find its slant height.
From the figure, find the values of $x$ and $y$. 
If $\sin 2\theta = \cos 40^\circ$, then the smallest positive value of $\theta$ is :
A sector as shown in the figure is assembled to form a cone. What is the base radius (in cm) of the cone so formed ? $\left(\pi = \frac{22}{7}\right)$
The curved surface area of a right circular cylinder of height 14 cm is 88 cm$^2$. The diameter of the base of the cylinder is $\left(\text{Use } \pi = \frac{22}{7}\right)$ :
From the figure, find $x$.
A rectangular room can be partitioned into two equal square rooms by a 7 meter long partition. What is the floor area of the rectangular room in $m^2$ ?
The circumference of a circular field is 396 m and that of the other circular field is 132 m. Find the area (in m$^2$) of the third circular field whose radius is the sum of the radii of the first two fields. Take $\pi = \frac{22}{7}$
A quadrilateral has vertices in the order $(0, -1)$, $(-2, 3)$, $(6, 7)$ and $(8, 3)$. The quadrilateral is a:
The volumes of 3 solid cubes made of metal are 125 cm$^3$, 64 cm$^3$ and 27 cm$^3$ respectively. After melting all the three cubes a solid cube is made. Find the edge of the new cube.
An angle is $\frac{3}{7}$ times its supplementary angles. Find the angle.
If $\sin\theta + \csc\theta = 2$, then what is the value of $\sin^2\theta + \csc^2\theta$?
The length of the side of an equilateral triangle is $4\sqrt{3}$ cm. Find its height.
If A (1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram ABCD, then find the values of x and y.
A rectangle has its longer side 2 cm greater than its shorter side. Its area is 80 $cm^2$. Find the perimeter of the rectangle (in cm).
In the figure, ABCDE and AEPQ are a regular pentagon and a square respectively. What is the measure of angle AQB ?
In a triangle ABC right angled at B, AB=8 unit and AC=10 unit. What is the value of $\sin^2\theta - \cos^2\theta$ where theta is angle ACB ?