SNAP Geometry Practice Questions With Solutions

If two tangents inclined at an angle $60^\circ$ are drawn to a circle of radius 3 cm, then length of each tangent is equal to

In the adjoining figure, ABCD is a cyclic quadrilateral. If AB is a diameter, BC = CD and $\angle ABD = 40^\circ$, find the measure of $\angle DBC$.

In the triangle ABC, MN is parallel to AB. Area of trapezium ABNM is twice the area of triangle CMN. What is ratio of CM : AM ?

If ABCD is a square and BCE is an equilateral triangle, what is the measure of the angle DEC?

Two people were walking in opposite directions. Both of them walked 6 miles forward then took right and walked 8 miles. How far is each from starting positions?

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

Three parallel lines are cut by two transversals as shown in the given figure. If AB = 2 cm, BC = 4 cm and DE = 1.5 cm, then the length of EF is:

One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints are in turn joined to form still another triangle. This process continues indefinitely. Find the sum of the perimeters of all the triangles.

A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius of the sphere. What is the ratio of the height and radius of the cone so formed?

If C1 and C2 are the circumferences of the outer and inner circles respectively. What is C1 : C2?
(I) The two circles are concentric.
(II) The area of the ring is $\frac{2}{3}$ the area of greater circle.