10th Class Maths Important Questions - New Syllabus for AP and Telangana

1. How many tangents can be drawn to a circle from a point outside the circle ? Justify your answer. (R & P)

2. How much cloth is required to set up a conical shaped tent with height 4 meters and radius 10.5 meters. (PS)

3. Find the probability of getting a prime number when a die is rolled once. (PS)

4. Explain the procedure to find median of ungrouped data. (Com)

5. If a line drawn through a point on a circle is perpendicular to radius of the circle to that point, then prove that it is tangent to the circle. (R & P)

6. If radius of a cylinder and a cone are equal and height of cone is double of that of cylinder, then find the relation between their volumes in the form of a ratio. (PS)

7. If Sec θ + tan θ = l, then find value of Sin θ in terms of l. (PS)

8. If unbiased coin is tossed 4 times. Then what is the probability of getting no head anytime ? (PS)

4 Marks Questions:

1. Construct a triangle with sides AB = 4cm, BC = 4.5cm, CA = 5cm, and also construct another triangle with 2/3 of corresponding sides of ΔABC (Rep & V)

2. Draw a circle of radius 4cm and construct tangents from a point 7 cm away from centre of the circle. (Rep & V)

3. A cylindrical tank has two hemispheres at its two ends. The length of axis at its centre is 11m and radius of a hemisphere is 3.5 m. Then find the capacity of the tank in litres.

4. A conical shaped tent has to set up on a cylindrical tent with its radius of base and height in the ratio 2 : 1. The heights of cylinder and cone are equal and ratio are 7 cm. Then how much cloth is required to set up the tent. (Con)

5. Two men on the same side of a tall building notice the angle of elevation to the top of the building to 30o and 60o respecting. If the height of the building is known to be h = 60m find the distance between the two men. (PS)

6. A man is watching a tower from a window of the hotel at the height 5m. The angle of elevation of top of the tower is 60o and the angle of depression of foot of the tower is 45o. Find the height of the tower. (PS).

10th Class Maths Objective Type Questions - New Syllabus

1. In the rational form of a terminating decimal number prime factor of the denominator is (Reasoning proof)
A) 5 only B) 2 only C) 2 or 5 only D) Any prime

2. Linear equation is two variable among the following is (Reasoning Proof)
A) (x+1)(y+2) = 0
B) (2x+1) ÷ (y-1) = 0
C) (x-1) + (2y - 5) = 0
D) x(y+1) = 0

3. In a quadratic equation discriminant is zero then the roots are (Communication)
A) real B) distinct C) imaginary D) none

4. Common difference of an AP is 3. If 2 is added to every term of the progression, then the common difference new AP (Problem solving)
A) 5 B) 6 C) 3 D) 2

5. Co-ordinates of a point on X–axis, which is at 5 units away from (2, 0) is (Problem solving)
A) (-3, 0)
B) (7, 0)
C) both A and B
D) (2, 5)

6. If the radius of two sphere are in the ratio 1 : 3, then their volumes are in the ratio (PS)
A) 1 : 3
B) 3 : 1
C) 3 : 6
D) 1 : 27

7. In a right angle ΔABC right angled at B, then the relation exist (R & P)
A) Sin (90-A) = Sin C
B) Cos (90-A) = Sin C
C) Cos (90-C) = Cos C
D) Sin A = Sin C

8. The set of total mutually exclusive and exhaustive events of a random experiment is
called (R & P)
A) Complete set
B) Sample space
C) Compulsory Event
D) No set occurs

9. The probability of an event is always lie (Com)
A) in between -1 and 1
B) From 0 to 1
C) more than 1
D) less than -1

10. The middle most value of data is called (R & P)
A) Mean
B) Median
C) Mode
D) No value exists

10th Class Maths Model Questions - New Syllabus in AP and Telangana

Instructions : 1. Read the whole question paper and understand every question thoroughly, without writing any thing. 15 minutes of time is allotted for this.
2. Answer all the questions.
3. Write answers to the objective type questions on answer sheet, but at same place.

10th / SSC Maths Model Question - New Syllabus

1. Difference between a two digit number and the number formed by interchanging its
digits is 36. Express this data as an algebraic equation. (Communication)

2. Explain the characteristic of a line passing through points (-5, 2), (0, 2), (3, 2), (5, 2). (Communication)

3. Find the roots of 6x2 - 2x + 5 = 0. (Problem solving)

4. Mark a point on the second quadrant which is equidistant from quodriatic axes.
(Representation)

5. If (3I4I5I7) + (19I21I23) a composite number. Justify your answer. (Reasoning Proof)

6. If 6th term of a G.P. is 46875 and its 4th term is 375. Find its 9th term. (Problem solving)

7. Find the points of trisection of the segment joining the points (3, -2) and (-9, 4) (Problem solving)

8. How can you say that the points (1, -5), (3, -2), (7, 4) are collinear ? (Reasoning proof)

9. (a) Find the sum of all the multiples of 2 or 3 between 100 and 200 (100 and 200
are not included). (Problem solving) OR
(b) If the third and sixth terms of a geometric progression are 12 and 96, then find
the number of terms in the progression, which are less than 2000.

10. (a) While a helicopter is descending vertically an aviation kit dropped from it. If the height of the helicopter when the kit dropped is 590 m. Find how much time does
the kit reach the ground, also find its final velocity before it touches the ground.
(Connection)

OR

(b) If Ganesh is 2 years elder to his sister, in how many years does he become a
voter ?

11. (a) Neelesh went to market to buy mangoes. He had enough money to buy number
of mangoes which are five times the cost of each mango. If the cost of each
mango is 2 less, he would have get 12 more mangoes. With this data daw a
graph to find the cost of each mango and the number of mangoes. (Visualisation)

OR

(b) Check whether the following pairs of lines are intersecting, pardled or coincident
lines. 3x + 5y + 2 = 0, 2x - y + 10 = 0. Mark their solution on the graph.