CBSE: 10th Class Sample Test Paper - 2011

Mathematics MCQ (Probability)

Q.1 The Probability of a leap year selected at random contain 53 Sunday is:

(a) 53/366
(b)1/7
(c) 2/7
(d) 53/365

Q.2. A big contains 3 red and 2 blue marbles. A marble is drawn at random. The probability of drawing a black ball is:

(a) 3/5
(b) 2/5
(c) 0/5
(d) 1/5

Q.3. The probability that it will rain tomorrow is 0.85. what is the probalbility that it will not rain tomorrow

(a) 0.25
(b) 0.145
3/20
none of these

CBSE: 10th Class Sample Test Paper - 2011

Tangent to Circle

Q.1. In the given figure, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6cm, BC = 7cm and CD = 4cm. Find AD.

Q.2. Tangent to a circle is a line which intersects the circle in exactly one point.

2. In figure. l and m are two parallel tangents at A and B. The tangent at C makes an intercept DE between the tangent l and m. Prove that ﮮDEF = 90 .

Q.3. If all the sides of a parallelogram touch a circle, show that the Parallelogram is a rhombus.

CBSE: 10th Class Sample Test Paper - 2011

Circle
Section A. 1 Mark Each

Q.1 if a line segment, having its end point on a circle, is known as
(a) Chord
(b) Secant
(c) Tangent
(d) none of these

Q.2 number of tangents that can be drawn through a point which is inside the circle is
(a) 3
(b) 2
(c) 1
(d) 0

Q.3 A line through point of contact and passing through centre of circle is known as
(a) tangent
(b) Chord
(c) normal
(d) segment

Q.4 A circle is inscribed in a triangle with sides 3, 4 and 5 cm. The radius of the circle is
(a) 6 cm
(b) 5 cm
(c) 4 cm
(d) none of these

Q.5 Distance between two parallel lines is 10 cm. The radius of circle which will touch both two lines is
(a) 5cm
(b) 7 cm
(c ) 12 cm
(d) None of these

Section B. 2 Mark Each

CBSE: 10th Class Sample Test Paper - 2011

Coordinate Geometry

Q.1. Find the coordinates of the mid point of the line segment joining the points (4, 3) and (2, 1).

Q.2. Find the coordinates of the point which divides the line segment joining the points (1, 3) and (2, 7) in the ratio 3: 4.

Q.3. Show that the points (1, 1), (3, -2) and (-1, 4) are collinear.

Q.4. Find the centroid of the triangle whose vertices are (3, -5); (- 7, 4) and (10, - 2).

Q.5. Find the area of a triangle whose vertices are A (1, 2); B (3, 5) and C (- 4, - 7)

CBSE: 10th Class Sample Test Paper-II: 2011

Arithmetic Progression

Q.1. Which of the following sequences are A.P’S? Write down their common difference.
(a) 5, 10, 15, 20,25………..(b) 2, 2, 2, 2,2……………..(c) 2, 4, 8, 16,32…………..

Q.2. Write next two terms of given A.P. (a) -3, -5, -7,-9…………..

Q.3. Find 10th term of given A.P. 10, 20, 30, 40…………

Q.4. Find 20th term of A.P. whose first term = 10, c.d = 3

Q.5. Find n, if the given value of x is nth term of A.P. 17, 22, 27, 32… x = 267

Q.6. Find for the A. P. 3, 14, 25, 36………

Q.7. Third term of an A.P. is 21 and the eighth term is 56.Find A.P. and also find its eleventh term.

CBSE: 10th Class Sample Test Paper - 2011

Heights and Distances

1. The angle of elevation of the top of a tower, from a point on the ground and at a distance of 150 m from its foot, is 30°. Find the height of the tower correct to one decimal place.

2. From a point P on the level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, how far is P from the foot of tower?

3. A kite is flying at a height of 75 meters from the level ground, attached to a string inclined at 60° to the horizontal. Find the length of the string to the nearest meter.

CBSE: 10th Class Sample Test Paper - 2011

Mean and Median

1. Calculate the man of all possible factors of 10.

2. Find the mode of the following data by making frequency table.
14,25,14,28,18,17,18,14,23,22,14,18

3. Determine the median of 23,24,A,A-1,12,16 where A is the mean of 10,20,30,40,50.

4. If the median of following data is 63 .Find the value of x
29, 32, 48, 50, x, x+2, 72, 78, 84, 95.

5. The mean of 16 number is 8. If 2 is added to every numbers. What is the new mean.

CBSE: 10th Class Sample Test Paper - 2011

Mensuration

2 marks Questions

Q1. If the perimeter of a semicircular protractor is 72 m, find the radius of protractor

Q2. Find the area of a right angled triangle if the radius of its circum circle is 3 cm and altitude drawn to the hypotenuse is 2 cm.

Q3. The length of the rectangle is twice its breadth. If the perimeter of the rectangle is 16 m find the area

Q4. The lawn of the rectangle has sides in the ratio of 4:5. The cost of cutting the grass is at Rs. 5.80 per square metre is Rs. 1276. Find the cost of fencing the lawn at Rs. 4.30 per meter.

Q5. A paper is in the form of a square of side 28 m. Two semicircular portions with BC and AD as diameter is cut off. Find the area of the remaining paper.

CBSE: 10th Class Sample Test Paper - 2011

Arithmetic Progression

Q. 1. Find the roots: (x + 2) / (x – 2) + (x – 2) / (x + 2) = 5/2, x ≠2, x≠ -2

Q. 2. Determine the values of p for which the quadratic equation: 2×2 + p x + 8 = 0 has real roots.

Q. 3. A shopkeeper buys a number of bananas for Rs. 600. If he had bought 10 dozen more bananas for the same amount, each dozen would have cost him Rs. 2 less. Find the number of bananas bought by him.

Q. 4. If the roots of the equation (c2 – ab)x2 – 2(a2 – bc) x + b2-ac = 0 are equal, prove that either a=0 or a3 + b3 + c3=3abc

Q. 5. Find three consecutive positive integers whose product is equal to sixteen times their sum.

Q. 6. A fraction becomes 6/5 if 1 is added to each of the numerator and the denominator. However, if we subtract 5 from each, the fraction becomes 3/2. find the fraction.

NTSE: Sample Test Paper - 2011

Sample Questions in Science

• Physics

• Chemistry

1. Metals generally have the following physical properties:
A. They are conducting
B. They have luster
C. They are hard
D. They are ductile
Mercury has been classified as a metal because of the properties
1. B and C
2. D and B
3. A and B
4. A and D

2. Alina was asked to list the causes of air pollution. She made the following list:
A. Burning of coal
B. Burning of Liquefied Petroleum Gas
C. Burning of Compressed Natural Gas
D. Occurrence of ozone at low altitude
Which are the correct causes in this list?
1. Only A
2. A and B
3. A, B and C
4. All the four

3. In some countries it is compulsory to install smoke detectors in all buildings. If you have to install a smoke detector in a room, where would you install it?
1. Near a window, a few feet from the floor
2. Near an electric switch board, about 4 feet from the floor
3. Near or on the ceiling
4. Near the floor

Q. 1-3. Candidate’s Name, Mother’s Name, Father’s Name not filled in the form
A. Mandatory to fill in the application form. Candidate may check their status on AIEEE website and filled accordingly.

Q. 04 Whether filling of all 4 choices for center are compulsory?
A. Yes, those have not filled all the choices, center may be decided by the Board.

Q. 05 State code of eligibility?
A. State code of eligibility means the code of state from where a candidate has passed +2 examination by virtue of which he/she becomes eligible to appear in the AIEEE for admission to BE/B.Tech and B.Arch/B.Planning course of the institution /colleges of the states /UT. Indian Nationals passing the equivalent qualifying examination from any institution abroad, the state of eligibility will be determine on the basis of permanent address given in the passport of the candidate.

Q.06 Wrongly filled Sex status or any other option, then ask, what action to be done?
A. Candidate may check their status on AIEEE website and correct accordingly.