CAT Geometry & Mensuration — practice questions
59 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CAT Geometry & Mensuration in the app →Find the area of a square whose side is $7$ cm.A rectangle has area $48$ cm² and breadth $6$ cm. Find its length.Find the area of an equilateral triangle whose side is $6$ cm.A circle has area $154$ cm². Find its circumference (take $\pi = \dfrac{22}{7}$).In a right-angled triangle the hypotenuse is $13$ cm and one of the legs is $5$ cm. Find the area of the trianIn triangle ABC, let D, E and F be the midpoints of BC, CA and AB. What is the ratio of the area of triangle DA right triangle has legs 6 and 8. The length of the hypotenuse is:A cube's side doubles. By what factor does its VOLUME grow?The area of a circle of radius 7 cm (using π = 22/7) is:A cylindrical water tank has radius 7 m and height 5 m. Its volume (using π = 22/7) is:A cone has radius 3 and height 4. Its slant height is:The sum of the interior angles of a hexagon is:Three rope pieces have lengths 4, 6 and 11 metres. Can they form a triangle?In a 30-60-90 right triangle, the side opposite the 30° angle has length 5. The side opposite the 60° angle haA triangle has sides 5, 12 and 13. The radius of its inscribed circle (inradius) is:For a closed plane figure, the distance around its boundary is the:A rectangular park is 30 m long and 20 m wide. The length of fence around it is:The land occupied by that 30 m by 20 m park is:If one bag of cement covers 4 square metres, the bags needed equal the path area divided by:A quadrilateral with only one pair of parallel opposite sides is a:The area of a trapezium is half the height times the:Nazma's trapezium plot, split into a rectangle of 240 and a triangle of 60 square metres, has area:A general quadrilateral can be split into two triangles by drawing one:The area of a quadrilateral equals half the diagonal times the:A quadrilateral has diagonal 5.5 cm and offsets 2.5 cm and 1.5 cm. Its area is:The area of a rhombus is half the product of its:A rhombus has diagonals 10 cm and 8.2 cm. Its area is:A trapezium field of area 480 square metres has height 15 m and one parallel side 20 m. The other side is:A rhombus of area 240 square cm has one diagonal 16 cm. The other diagonal is:A regular hexagon of side 5 cm, split into two congruent trapeziums of 32 square cm each, has area:Ridhima found the same hexagon area as a rectangle of 40 plus two triangles of 12 each, which totals:The circumference of a circle is found with the expression:A flooring tile shaped like a parallelogram has base 24 cm and height 10 cm. Its area is:A pentagon can be divided into three parts by constructing:Splitting a polygon into triangles to find its area is called:The area of a trapezium whose parallel sides are 1 m and 1.2 m with height 0.8 m is:A trapezium of area 34 square cm has one parallel side 10 cm and height 4 cm. The other side is:The distance between two points in a plane is worked out using which theorem?Since distance can never be negative, the distance formula takes:The distance between the points (4, 6) and (6, 8) is:The distance between the points (2, 3) and (4, 1) is:The distance between the points (0, 0) and (36, 15) is:The distance of the point (6, 4) from the point (minus 5, minus 3) comes to:The distance of any point P from the origin uses which coordinates?The points (3, 2), (minus 2, minus 3) and (2, 3) form which kind of triangle?The points (1, 7), (4, 2), (minus 1, minus 1) and (minus 4, 4) are the vertices of a:Ashima, Bharti and Camella sit at (3, 1), (6, 4) and (8, 6). Are they in a line?The relation satisfied by every point equidistant from (7, 1) and (3, 5) is:The graph of that relation is the:The point on the y-axis equidistant from (6, 5) and (minus 4, 3) is:The formula giving the point dividing a segment in a given ratio is the:The point dividing the join of (4, minus 3) and (8, 5) in the ratio 3 to 1 is:A midpoint divides a line segment in which ratio?Because of that, the midpoint of the join of two points is found by:The area of the triangle with vertices (1, minus 1), (minus 4, 6) and (minus 3, minus 5) is:The area of the triangle with vertices (5, 2), (4, 7) and (7, minus 4) is:When the area formula gives a negative value for a triangle, you should:If three points give an area of zero, what does that show?The points (1, 5), (2, 3) and (minus 2, minus 11) are examined to check whether they are: