Question 1 : <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 2 :
A, B and C are three points on a circle. State whether that the perpendicular bisectors of AB, BC and CA are concurrent or not.
Question 4 :
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and $\angle ADC=140^{\circ}$, then $\angle BAC$ is equal to
Question 5 :
Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle.
Question 7 :
If chords of congruent circles subtend equal angles at their centres, then the chords are not necessarily equal. TRUE or FALSE?
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d112f59b460d7261f3c2.PNG' />
In the above figure, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to
Question 9 :
A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segment.
Question 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1a9f59b460d7261f49c.JPG' />
In the above fig, ∠ PQR = 100°, where P, Q and R are points on a circle with centre O. Find ∠OPR.
Question 11 :
State true or false: A triangle is unique if three sides are given.
Question 12 :
With the help of a ruler and a compass, it is possible to construct an angle of
Question 13 :
State true/false, a triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.
Question 14 : <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 15 :
The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when difference of BC and AC is equal to
Question 16 :
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 17 :
State true/false, a triangle ABC can be constructed in which ∠ B = 60°, ∠C = 45° and AB + BC + AC = 12 cm
Question 18 :
_____________ construction means using only a ruler and a pair of compasses as geometrical instruments.
Question 20 :
With the help of a ruler and a compass it is not possible to construct an angle of
Question 21 :
ABCD is a rhombus in which altitude from D to side AB bisects AB. Find the $\angle ADC$ of the rhombus.
Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d21df59b460d7261f542.PNG' />
In the above fig, ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA. AC is a diagonal. PQRS is a _______________.
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d20af59b460d7261f528.PNG' />
In the above fig, ABCD is a parallelogram in which P and Q are mid-points of opposite sides AB and CD. If AQ intersects DP at S and BQ intersects CP at R, then APCQ is a ________________.
Question 24 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d21bf59b460d7261f540.PNG' />
ABCD is a trapezium given in the above fig in which AB || CD and AD = BC. Diagonals AC and BD are unequal. TRUE or FALSE ?
Question 25 :
What is the sum of all the angles of a quadrilateral?
Question 26 :
The line segments joining the mid-points of the opposite sides of a quadrilateral ________ each other.
Question 27 :
ABCD is a parallelogram. If its diagonals are equal, then find the value of $\angle ABC$.
Question 28 :
In $\triangle ABC$, AB = 5 cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE.
Question 30 :
If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3:7:6:4, then ABCD is a
Question 31 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e8f59b460d7261f4f6.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 2
Question 32 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f9f59b460d7261f50f.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 likes statistics.
Question 33 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1fcf59b460d7261f514.JPG' />
From the above image. you were asked to prepare a frequency distribution table, regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days. Using this table, find the probability of the concentration of sulphur dioxide in the interval 0.12 - 0.16 on any of these days.
Question 34 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f3f59b460d7261f507.JPG' />
Refer to the above image. An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is in the above image. Suppose a family is chosen. Find the probability that the family chosen is earning Rs 10000 – 13000 per month and owning exactly 2 vehicles.
Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f4f59b460d7261f508.JPG' />
Refer to the above image. An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is in the above image. Suppose a family is chosen. Find the probability that the family chosen is earning less than Rs 7000 per month and does not own any vehicle.
Question 36 :
The record of a weather station shows that out of the past 250 consecutive days, its weather forecasts were correct 175 times. What is the probability that it was not correct on a given day?
Question 37 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1eaf59b460d7261f4f9.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 last more than 9000 km?
Question 38 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1eaf59b460d7261f4fa.JPG' />
From above the image Consider the frequency distribution table which gives the weights of 38 students of a class. Find the probability of a student weighing more than 30 kg.
Question 39 :
A coin is tossed 1000 times with the following frequencies: Head : 455, Tail : 545. Compute the probability of the event of getting a tail.
Question 40 : <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 41 :
Possible expressions for the dimension of cuboid having volume :$ 3x^2 – 12x$ are-
Question 42 :
The remainder when $x^3 + 3x^2 + 3x + 1$ is divided by x + 1 is-
Question 43 :
If x – 1 is a factor of $4x^3 + 3x^2 – 4x + k$, then k=____
Question 48 :
The zero of the polynomial p(x) = ax, $a \ne 0$ is-
Question 51 :
Find the volume of a sphere whose radius is 0.63 m.
Question 52 :
A cylindrical roller 2.5 m in length, 1.75 m in radius when rolled on a road was found to cover the area of 5500 $m^2$ . How many revolutions did it make?
Question 53 :
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 54 :
A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.
Question 55 :
Find the surface area of a sphere of radius 5.6 cm.
Question 56 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d237f59b460d7261f568.jpeg' />
In the above image, a hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is 17.6 m, find the cost of painting it, given the cost of painting is Rs 5 per 100 $cm^2$
Question 57 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23df59b460d7261f571.jpeg' />
In the above image, a right circular cylinder just encloses a sphere of radius r. Find curved surface area of the cylinder.
Question 58 :
Twenty seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S′. Find the radius r′ of the new sphere.
Question 59 :
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find the cost of plastering this curved surface at the rate of Rs 40 per $m^2$.Assume $\pi$ =$\frac{22}{7}$
Question 60 :
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.
