Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d151f59b460d7261f41d.png' /> In the above figure, BA || ED and BC || EF. Are the angles $∠ABC$ and $∠$DEF equal?

Question 2 :
If a transversal intersects two parallel lines, then interior angles on the same side of the transversal are _____________.

Question 3 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d152f59b460d7261f41f.png' /> In the above figure, DE || QR and AP and BP are bisectors of $∠$ EAB and $∠$ RBA, respectively. Find $∠$APB.

Question 4 :
If one of the angles of a triangle is $130^{\circ}$, then the angle between the bisectors of the other two angles can be __________.

Question 5 :
How many triangles can be drawn having its angles as $45^{\circ}$ $64^{\circ}$ and $72^{\circ}$?

Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d151f59b460d7261f41e.png' /> In the above figure, BA || ED and BC || EF. Find ($∠$ABC + $∠$DEF)

Question 8 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d138f59b460d7261f3fa.JPG' /> From the above image, a design is made on a rectangular tile of dimensions 50 cm × 70 cm. The design shows 8 triangles, each of sides 26 cm, 17 cm and 25 cm. Find the total area of the design.

Question 9 :
The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.

Question 10 :
The perimeter of a triangular field is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular field.

Question 11 :
The perimeter of a triangle is 50 cm. One side of a triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

Question 12 :
The sides of a triangle are 56 cm, 60 cm and 52 cm long. Find the area of the triangle.

Question 13 :
<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 14 :
If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, state whether the two chords are non-parallel or not.

Question 15 :
State whether the given statement is true or false:- Two chords of a circle of lengths 10 cm and 8 cm are at the distances 8.0 cm and 3.5 cm, respectively from the centre.

Question 16 :
State true or false: If non-parallel sides of a trapezium are equal, then it is cyclic.

Question 17 :
If two equal chords of a circle intersect within the circle, the segments of one chord is equal to corresponding segments of the other chord. TRUE or FALSE?

Question 18 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1a8f59b460d7261f49b.JPG' /> In the above fig, A, B and C are three points on a circle with centre O such that ∠ BOC = 30° and∠ AOB = 60°. If D is a point on the circle other than the arc ABC, find ∠ADC.

Question 19 :
State Yes or No: If ABC is an equilateral triangle inscribed in a circle and P be any point on the minor arc BC which does not coincide with B or C, then PA is angle bisector of $\angle BPC$.

Question 20 :
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find its inner curved surface area.Assume $\pi$ =$\frac{22}{7}$.

Question 21 :
A small village, having a population of 5000, requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m × 25 m × 15 m. For how many days will the water of this tank last?

Question 22 :
A conical tent is 10 m high and the radius of its base is 24 m. Find the cost of the canvas required to make the tent, if the cost of 1 $m^2$ canvas is Rs 70.

Question 23 :
The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their surface areas.

Question 24 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d238f59b460d7261f56a.jpeg' /> In the above image, the pillars of a temple are cylindrically shaped. If each pillar has a circular base of radius 20 cm and height 10 m, how much concrete mixture would be required to build 14 such pillars?

Question 25 :
Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.