Question 1 :
If a straight line falling on two straight lines makes the interior angles on the same side of it, whose sum is $120^{\circ}$, then the two straight lines, if produced indefinitely, meet on the side on which the sum of angles is:

Question 3 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1bcf59b460d7261f4b7.JPG' /> Refer to the above image. Students of a school staged a rally for cleanliness campaign. They walked through the lanes in two groups. One group walked through the lanes AB, BC and CA; while the other through AC, CD and DA. Then they cleaned the area enclosed within their lanes. If AB = 9 m, BC = 40 m, CD = 15 m, DA = 28 m and $\angle B = 90^{\circ}$, Find the total area cleaned by the students.

Question 4 :
A triangular park ABC has sides 120m, 80m and 50m. A gardener Dhania has to put a fence all around it and also plant grass inside. find the cost of fencing it with barbed wire at the rate of Rs 20 per metre leaving a space 3m wide for a gate on one side.

Question 5 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1c2f59b460d7261f4bf.PNG' /> Refer to the above image. A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm and sides 6 cm each is to be made of three different shades as shown in above figure. How much paper of shade has been used in 1 and 2 part it?

Question 6 :
The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m and 15 m. The advertisements yield an earning of Rs 2000 per $m^2$ a year. A company hired one of its walls for 6 months. How much rent did it pay?

Question 7 :
The equation 2x + 5y = 7 has a unique solution, if x, y are :

Question 8 :
The graph of every linear equation in two variables is a ________.

Question 9 :
State true or false: ax + by + c = 0, where a, b and c are real numbers, is a linear equation in two variables.

Question 11 :
Express $0.4\overline{7}$ in the form $\frac{p}{q}$ , where p and q are integers and q ≠ 0.

Question 16 :
Possible expressions for the dimension of cuboid having volume :$ 3x^2 – 12x$ are-

Question 17 :
If x – 1 is a factor of $p(x) = kx^2-\sqrt{2}x+1$ , k is-

Question 18 :
The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle.

Question 19 :
Let OA, OB, OC and OD are rays in the anticlockwise direction such that $∠$AOB = $∠$COD = $100^{\circ}$, $∠$BOC = $82^{\circ}$ and $∠$AOD = $78^{\circ}$. Is it true to say that AOC and BOD are lines?

Question 20 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d14ff59b460d7261f41a.png' /> In the above figure, $∠$1 = $60^{\circ}$ and ∠6 = $120^{\circ}$. Thus, the lines 'm' and 'n' are ____________.

Question 21 :
If a ray stands on a line, then the adjacent angles so formed are __________ and its converse,

Question 22 :
Find the total surface area of a hemisphere of radius 10 cm. (Use $\pi$ = 3.14)

Question 23 :
A right triangle ABC with sides 5 cm, 12 cm and 13 cm is first revolved about the side 12 cm and then about the side 5 cm. Find the ratio of the volumes of the two solids obtained.

Question 24 :
A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?

Question 25 :
It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square metres of the sheet are required for the same?Assume $\pi$ =$\frac{22}{7}$.

Question 26 :
Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.