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If a polyhedron has 9 faces and 9 vertices. Find the number of edges in polyhedron and also draw the corresponding polyhedron. [3 MARKS]

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.

Question 1(b)
Find the following product:
(- 1) $\times$ 225

Find the radii of circles whose areas are

(1) 1.386 cm²

(2) 15,400 sq. cm

Which of the following should be the FOURTH sentence after rearrangement?

In a game of football, if a player kicks the ball into opponent's goal post then he scores a goal. If he passes the ball to any of his team mates and that particular team mate scores a goal after that, the player is said to have assisted the goal. Suppose you are the captain of a football team and you have to select a striker for your team. Here you have line graphs which give the goals and assists of two players in past 5 months. Which player will you select for your team? (Assume matches played by both the players had same level of competition)

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The solution of equation 5(p +1) + 4 = 34 is

In a school, $\frac{5}{8}$ of the students are boys. If there are 240 girls, find the number of boys in the school.

Some
pictures (a) to (c) are given below. Tell which of them show:

(i)
(ii)
(iii)

(a)

(b)

(c)

The sum of two integers is always

Match the following numbers with their reciprocals:

If A = {set of integers between -3 and 5}, then set A written in Rooster form is

What is the method to take the square root of a number????

Match the following products of fractions:

Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of:

The number of students liking football to the number of students liking tennis.

If a and b are in the ratio then how are they represented symbolically?

Question 6: Consider the following figure of line $\overleftrightarrow{MN}$. Say whether the following statement is true or false in the context of the given figure:







(a) M, O, N are points on a line segment $\overline{MN}$.

A light year is the distance that light can travel in one year.
$1$ light year $=9,460,000,000,000km.$
(a) Express one light year in scientific notation.
(b) The average distance between Earth and Sun is $1.496\times {10}^{8}km.$ Is the distance between earth and Sun greater than, less than or equal to one light year?

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In triangle $ABC$, $2\angle A=3\angle B=6\angle C$. Calculate $\angle A,\angle B$ and $\angle C$.

Express 140 as product of its prime factors.

If $n$ is a natural number, the difference between the squares of $n+1$ and $n$ is ___.

2 multiplied by itself ten times, when written in the exponential form is .

Which of the following correctly represents the 450 as the product of its prime power.

Identify he property used in

(m + n) + p = m + (n + p)

A decimal number is of the form 3b.0276, where b represents a digit. The decimal is then written in the form of the simplest fraction. The prime factorisation of the denominator of the fraction is 2² × 5⁴ × 7^x, where x is a non-negative integer.

What is the value of x?

Question 100

State whether the statement is True or False.

$a÷b=b÷a$

One of the angles of a pair of co-interior angles is ${130}^{\circ }$. The other angle is ______.

Which of the following are a pair of linear equations in two variables?

Question 85

The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.

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