List of top Mathematics Questions

Draw a triangle of circum radius 3 centimetres and two of the angles 75° and 50°.
Draw a circle of radius 2.5 centimetres. Draw a triangle of two angles 70° and 50° with its sides touches the circle.
For what values of x, the polynomial x² - 12x + 32 becomes zero ?
Write the polynomial x² - 12x + 32 as the product of two first degree polynomials.
The base radius and height of a solid metal cylinder are 8 centimetres and 15 centimetres. By melting it and recasting, how many cones of base radius 6 centimetres and slant height 10 centimetres can be made ?
Is this an arithmetic sequence ? Why ?
Write the algebraic form of the arithmetic sequence got by adding 2 to each term of the above sequence.
Write the sequence of natural numbers which leaves a remainder 1 on division by 4.
Find two numbers with sum 4 and product 2.
Sum of first and 25th terms of an arithmetic sequence is 70.
(iii) Find the sum of first 25 terms of this sequence.
Sum of first and 25th terms of an arithmetic sequence is 70.
(ii) What is the 13th term of this sequence ?
7th term of an arithmetic sequence is 100 and 11th term is 140.
(i) What is fifteenth term of this sequence ?
A box contains four slips numbered 1, 3, 5, 7 and another box contains three slips numbered 2, 4, 6. If one slip is drawn from each box.
(i). What is the probability that the product of the numbers being a prime ?
Sum of first and 25th terms of an arithmetic sequence is 70.
(i) What is the sum of 4th and 22nd terms of this sequence ?
The sum of first 3 terms of an arithmetic sequence is 30 and the sum of first 7 terms is 140.
(iii) Write the first three terms of this sequence.
What is the probability that the product of the numbers is a multiple of 7 ?
What is the probability that it is a multiple of 5, which is less than 200 ?
The coordinates of two points of a line are (3, 1) and (5, 2).
Read the following statements.
(i) Slope of the line is 2
(ii) Slope of the line is (1)/(2)
(iii) (9, 4) is a point on this line
(iv) (4, 9) is a point on this line
Now choose the correct answer from those given below.
A person is asked to say a three digit number.
(i). What is the probability that all the three digits of this number are the same ?
Which of the following is the algebraic form of the arithmetic sequence 6, 10, 14, .... ?
Curved surface area of a cone is 60 square centimetres. What is the curved surface area of another cone with same radius but slant height is one third of this cone ?
In which of the arithmetic sequences given below, 37 is a term ?
Weight of 7 students are given below. What is the median score ?
44, 42, 40, 47, 41, 38, 45
Which of the following is a point on the y-axis ?
Consider the following three statements for the function $f : (0,\infty) \rightarrow \mathbb{R}$ defined by
\[ f(x) = \left| \log_e x \right| - |x - 1| : \]
(I) $f$ is differentiable at all $x>0$.
(II) $f$ is increasing in $(0,1)$.
(III) $f$ is decreasing in $(1,\infty)$.
Then,