Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1aaf59b460d7261f49d.JPG' />
In the above fig, ∠ ABC = 69°, ∠ ACB = 31°, find ∠ BDC.
Question 3 :
The fixed point is called the ________ of the circle and the fixed distance is called the ________ of the circle.
Question 4 :
Angles in the same segment of a circle are not necessarily equal. TRUE or FALSE?
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1abf59b460d7261f49f.JPG' />
In the above fig, Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively. Is ∠ ACP = ∠ QCD?
Question 6 :
State True or False: Among all the chords of a circle passing through a given point inside the circle that one is smallest which is perpendicular to the diameter passing through the point.
Question 7 :
A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segment.
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d115f59b460d7261f3c7.PNG' />
In the above figure, BC is a diameter of the circle and $\angle BAO=60^{\circ}$. Then $\angle ADC$ is equal to
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d120f59b460d7261f3d6.PNG' />
In the above figure, two congruent circles have centres O and O′. Arc AXB subtends an angle of $75^{\circ}$ at the centre O and arc A′YB′ subtends an angle of $25^{\circ}$ at the centre O′. Then the ratio of arcs AXB and A′YB′ is
Question 10 :
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 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d209f59b460d7261f526.PNG' />
In the above fig, two parallel lines l and m that are intersected by a transversal p are shown. The quadrilateral formed by the bisectors of interior angles is a ____________.
Question 13 :
If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d219f59b460d7261f53d.PNG' />
In ∆ ABC and ∆ DEF in the above fig, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively. Is ∆ ABC ≅ ∆ DEF ?
Question 15 :
Diagonals of a parallelogram ABCD intersect at O. If $\angle BOC = 90^{\circ}$ and $\angle BDC = 50^{\circ}$, then $\angle OAB$ is
Question 16 :
State true or false : The quadrilateral formed by joining the mid-points of the sides of a quadrilateral, taken in order, is a parallelogram.
Question 17 :
A diagonal of a rectangle is inclined to one side of the rectangle at $25^{\circ}$. The acute angle between the diagonals is
Question 18 :
State true or false : A diagonal of a parallelogram divides it into two congruent triangles.
Question 19 :
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if
Question 20 :
Diagonals of a rectangle are equal and perpendicular. Is this statement true?
Question 21 :
Curved surface area of a right circular cylinder is 4.4 $m^2$ . If the radius of the base of the cylinder is 0.7 m, find its height.Assume $\pi$ =$\frac{22}{7}$.
Question 22 :
Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.
Question 23 :
The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.
Question 24 :
The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it?
Question 25 :
If the volume of a right circular cone of height 9 cm is 48 $\pi$ $cm^3$ , find the diameter of its base.
Question 26 :
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1 $m^3$ = 1000 $l$)
Question 27 :
The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. Find the ratio of their volumes.
Question 28 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23bf59b460d7261f56e.jpeg' />
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 total surface area.Assume $\pi$ =$\frac{22}{7}$.
Question 29 :
Find the amount of water displaced by a solid spherical ball of diameter 28 cm.
Question 30 :
Find the volume of a sphere whose radius is 0.63 m.
Question 31 :
State true or false: We can construct a triangle when its base, a base angle and the sum of other two sides is given.
Question 32 :
_____________ construction means using only a ruler and a pair of compasses as geometrical instruments.
Question 33 :
State true or false: A right triangle is unique if the hypotenuse and one side is given.
Question 34 :
State true/false, a triangle ABC can be constructed in which ∠ B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.
Question 35 :
State true or false: We can construct a triangle when its base, a base angle and the difference of other two sides is given.
Question 38 :
The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when difference of AB and AC is equal to
Question 39 : <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 40 :
State true or false: An angle of 67.5° can be constructed.
Question 41 :
Does $x^4 + x^3 + x^2 + x + 1$ has x+1 as a factor -
Question 42 :
Possible expressions for the length and breadth of rectangle having Area :$ 25a^2 – 35a + 12$ are-
Question 44 :
Factors of $4x^2+ 9y^2 + 16z^2 + 12xy – 24yz – 16xz$ are-
Question 45 :
Does $x^3 – x^2 – ( (2+\sqrt{2})x)+ \sqrt{2}$ has x+1 as a factor -
Question 49 :
The remainder when $x^4 + x^3 – 2x^2 + x + 1$ is divided by x – 1 is-
Question 51 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e9f59b460d7261f4f8.JPG' />
Refer to the above image. An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the above image. Find the probabilities of the event for a driver chosen at random from the city having no accidents in one year.
Question 52 :
Two coins are tossed simultaneously 500 times, and we get Two heads : 105 times, One head : 275 times, No head : 120 times. Find the probability of getting NO head.
Question 53 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1fdf59b460d7261f516.JPG' />
From the above image, you were asked to prepare a frequency distribution table regarding the blood groups of 30 students of a class. Use this table to determine the probability that a student of this class, selected at random, has blood group AB.
Question 54 :
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 55 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e6f59b460d7261f4f3.JPG' />
On one page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit place digit (for example, in the number 25828573, the unit place digit is 3) is given in the above image. Without looking at the page, the pencil is placed on one of these numbers, i.e., the number is chosen at random. What is the probability that the digit in its unit place is 6?
Question 56 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e5f59b460d7261f4f2.JPG' />
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 4
Question 57 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f5f59b460d7261f50a.JPG' />
Refer to the above image. In a particular section of Class IX, 40 students were asked about the months of their birth Find the probability that a student of the class was born in August.
Question 58 : <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 59 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e6f59b460d7261f4f4.JPG' />
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 3
Question 60 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1ebf59b460d7261f4fb.JPG' />
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 than 40 seeds in a bag?
