Question 2 :
D, E and F are the mid-points of the sides BC, CA and AB, respectively of an equilateral triangle ABC. If D,E and F are joined, what type of triangle would be DEF ?

Question 3 :
P, Q, R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD in which AC = BD. Quadrilateral formed by joining P,Q,R and S would be

Question 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d20ef59b460d7261f52e.PNG' /> In the above fig, diagonal AC of a parallelogram ABCD bisects ∠ A. It bisects ∠ C. TRUE or FALSE ?

Question 5 :
A transversal intersects two parallel lines. The bisectors of any pair of corresponding angles so formed are ____________.

Question 6 :
<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 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d14df59b460d7261f417.png' /> In the above figure, find the value of 'x' for which the lines 'l' and 'm' are parallel.

Question 8 :
Lines parallel to the same line are _________ to each other,

Question 10 :
Given an arc of a circle, can the circle be completed?

Question 12 :
ABC and ADC are two right triangles with common hypotenuse AC. Is ∠ CAD = ∠ CBD?

Question 13 :
State whether the given statement is true or false:- A circle of radius 3 cm can be drawn through two points A, B such that AB = 6 cm.

Question 14 :
<img style='object-fit:contain' src='61b1d170f59b460d7261f449' /> Over the past 200 working days, the number of defective parts produced by a machine is given in the table shown above. Determine the probability that tomorrow’s output will have not more than 5 defective parts.

Question 15 :
<img style='object-fit:contain' src='61b1d15bf59b460d7261f42b' /> Two coins are tossed 1000 times and the outcomes are recorded as shown in the above figure. Based on this information, the probability for at most one head is:

Question 16 :
A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included in this interval) as one of the class interval is constructed for the following data: 268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236. The frequency of the class 310-330 is:

Question 17 :
As the number of tosses of a coin increases, the ratio of the number of heads to the total number of tosses will be 0.5 Is it correct?

Question 18 :
<img style='object-fit:contain' src='61b1d1e7f59b460d7261f4f5' /> Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 5

Question 19 :
<img style='object-fit:contain' src='61b1d1e4f59b460d7261f4f0' /> Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 1.

Question 20 :
True or false. The uncertainty of ‘probably’ can be measured numerically by means of ‘probability’.

Question 21 :
Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg): 4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00. Find the probability that any of these bags chosen at random contains more than 5 kg of flour.

Question 22 :
Find the radius of a sphere whose surface area is 154 $cm^2$.

Question 23 :
A shot-putt is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per $cm^3$ , find the mass of the shot-putt.

Question 24 :
State true or false: If a sphere is inscribed in a cube, then the ratio of the volume of the cube to the volume of the sphere will be 6 : π.

Question 25 :
<img style='object-fit:contain' src='61b1d23af59b460d7261f56d' /> In the above image, a metal pipe is 77 cm long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Find its outer curved surface area.Assume $\pi$ =$\frac{22}{7}$.

Question 26 :
Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions $25cm\times20cm\times5cm$ and the smaller of dimensions $15cm\times12cm\times5cm$. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs. 4 for 1000 $cm^2$ , find the cost of cardboard required for supplying 250 boxes of each kind.