Coordinate Geometry – Important Questions Find a relation between x and y such that the point (x , y) is equidistant from the points (7, 1) and (3, 5). Find the distance between the following pairs of points : (2, 3), (4, 1) (-6, 2), (-4, -3) (7, 6), (2, 1) (4, -3), (2, -8) […]
Statistics – Previous Years Questions The mean and median of a distribution are 14 and 15 respectively. The value of mode is 16 17 18 13 [1 Mark] [CBSE 2020] 2. Find the mode of the following distribution: [2 Marks] [CBSE 2020] Classes: 0-20 20-40 40-60 60-80 80-100 Frequency: 10 8 12 16 4 3. […]
Probability – Important Questions A box contains 90 discs, numbered from 1 to 90. If 1 disc is drawn at random from the box, the probability that it bears a prime number less than 23, is : 7/90 10/90 4/45 9/89 What is the sum of the probabilities of all the elementary events of an […]
Probability – Previous Years Questions If two different dice are rolled together, the probability of getting an even number on both dice is 1/36 1/2 1/6 1/4 [CBSE 2014] [1 Mark] A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is 2/3 1/6 1/3 […]
Surface Areas And Volumes – Previous Years Questions A spherical metal ball of radius 8 cm is melted to make 8 smaller identical balls. The radius of each new ball is __________cm. [CBSE 2020] [1 Mark] Find the perimeter of a protector if its diameter is 21 cm. (Use π = 22/7) [CBSE 2017] [2 […]
Area Related To Circles – Previous Years Questions In the given figure, O is the centre of a circle such that diameter AB = 13 cm and AC = 12 cm. BC is joined. Find the area of the shaded region. (Take π = 3.14) [CBSE 2016] [3 Marks] In the given figure, find the […]
Circles Important Questions How many tangents can a circle have? In two concentric circles, a chord of the larger circle touches the smaller circle. If the length of this chord is 8 cm and the diameter of the smaller circle is 6 cm, then find the diameter of the larger circle. Draw a circle and […]
Constructions – Important Questions Construct a triangle similar to a given triangle ABC with its sides equal to 3/4 of the corresponding sides of the triangle ABC (i.e., of scale factor 3/4). Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the two parts. Draw a […]
Constructions – Previous Years Questions Draw a circle of radius 5 cm. Construct a pair of tangents to it so that they are inclined at 60°. Measure the lengths of the two tangents. [CBSE 2017] [3 Marks] Construct a triangle with sides 5 cm, 6 cm and 7 cm. Now construct another triangle whose sides […]
Circles – Previous Years Questions In the given figure PQ is a tangent at a point C to a circle with centre O. If AB is a diameter and ∠CAB = 30°. Find ∠PCA. [CBSE 2016] [1 Mark] Two concentric circles of radii a and b (a > b) are given. Find the length of […]