Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1acf59b460d7261f4a0.png' /> State true or false: The above image shows the construction of an equilateral triangle where its two sides and two angles are given.

Question 2 :
State true or false: We can construct a triangle given its perimeter and the two base angles.

Question 3 :
State true/false, a triangle ABC can be constructed in which AB = 5 cm, ∠A = 45° and BC + AC = 5 cm.

Question 5 :
State true/false, a triangle ABC can be constructed in which ∠ B = 60°, ∠C = 45° and AB + BC + AC = 12 cm

Question 6 :
State whether the given statement is true or false:- If A, B, C, D are four points such that $\angle BAC=30^{\circ}$ and $\angle BDC=60^{\circ}$, then D is the centre of the circle through A, B and C.

Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d19ff59b460d7261f48f.png' /> In the above fig, segment PQ is the _________ of the circle.

Question 8 :
The fixed point is called the ________ of the circle and the fixed distance is called the ________ of the circle.

Question 9 :
ABC and ADC are two right triangles with common hypotenuse AC. Is ∠ CAD = ∠ CBD?

Question 10 :
State true or false: If the edge of the cube is a, then Total surface area of cube = $6a^{2}$

Question 11 :
State true or false: If the edge of the cube is a, then Diagonal of cube = $a\sqrt3$

Question 12 :
State true or false: Curved surface area of hemisphere is $2\pi r^{2}$.

Question 13 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f1f59b460d7261f503.JPG' /> Refer to the above image. Fifty seeds were selected at random from each of 5 bags of seeds, and were kept under standardised conditions favourable to germination. After 20 days, the number of seeds which had germinated in each collection were counted and recorded in the above image. What is the probability of germination of more that 35 seeds in a bag?

Question 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f2f59b460d7261f506.JPG' /> From the above image the data is recorded of 1500 families with 2 children that were selected randomly. Compute the probability of a family, chosen at random, having No girl.

Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1fbf59b460d7261f513.JPG' /> Refer to the above image. What is the empirical probability that an engineer lives more than or equal to 7 km from her place of work?

Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f7f59b460d7261f50d.JPG' /> From the above image, find the probability that a student obtained marks 60 or above.

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f6f59b460d7261f50b.JPG' /> Refer to the above image. Three coins are tossed simultaneously 200 times with the following frequencies of different outcome as shown in the above image. If the three coins are simultaneously tossed again, compute the probability of 2 heads coming up.

Question 18 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1faf59b460d7261f511.JPG' /> Refer to the above image. To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the above image. Find the probability that a student chosen at random does not like it.

Question 19 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f0f59b460d7261f502.JPG' /> Refer to the above image. Fifty seeds were selected at random from each of 5 bags of seeds, and were kept under standardised conditions favourable to germination. After 20 days, the number of seeds which had germinated in each collection were counted and recorded in the above image. What is the probability of germination of 49 seeds in a bag?

Question 20 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1eff59b460d7261f500.JPG' /> Refer to the above image. A tyre manufacturing company kept a record of the distance covered before a tyre needed to be replaced. The above image shows the results of 1000 cases. If you buy a tyre of this company, what is the probability that it will need to be replaced after it has covered somewhere between 4000 km and 14000 km?

Question 22 :
What is the remainder obtained on dividing $3x^4 – 4x^3 – 3x –1$ by x - 1 ?