sanawar.edu.in Entrance Examination Class XI Mathematics & Science Sample Question Paper

Name of the Organization : The Lawrence School,Sanawar
Examination Name : Entrance Examination
Announcement : Sample Question Paper For Entrance Examination Class XI
Subject: Mathematics & Science
Type : Sample Question Paper
Website : https://www.sanawar.edu.in/
Download Sample Paper :
Mathematics :  https://www.pdfquestion.in/uploads/24662-maths.pdf
Science : https://www.pdfquestion.in/uploads/24662-science.pdf

Sanawar Entrance Exam Class XI Mathematics & Science Paper

Code : L-6
Subject: Mathematics
Max Marks: 100
Time allowed: 1 ½ Hrs.

Related : Lawrence School Class IX Entrance Examination Sample Question Paper : www.pdfquestion.in/24657.html

General Instructions

1. All questions are compulsory.
2. The question paper consists of 22 questions divided into three sections A, B and C.
3. The marks are mentioned at the appropriate place in each section.

Mathematics Sample Paper

Section – A

2 marks Quetsions :
1. Form a quadratic polynomial with 4 and -1/5 as its zeros.
2. Find the 15th term of the A.P. : 5, 2, -1, ………………..
3. Is -151 a term of the series: -7, -5, -3,………?
4. How many terms of the series: 48, 45, 42……… will add up to 499 ?
5. Which term of the A.P. : 31, 26, 21,…………..is the first negative term ?
6. If sec tan 5sin 3 then evaluate: sec ta
8. Find the point on y-axis which at a distance of 8 unites from (4, 3).
9. Find ‘k’ if the points (3, 4), (4, k) and (2, -3) are collinear.
10. Two dice are thrown simultaneously, find the probability of getting a sum of 9 or more.

Section – B

5 marks Question :
11. Solve the equation given below: 4 3 2 1 0 3 2 1 4 3
12. For what values of ‘k’ will the given equation have equal roots: 2 (k ? 4)x ? (k ?1)x ?1? 0
13. If 5 times 5th term and 10 times 10th term of an A.P. are equal then find the 16th term of the series.
14. The sum of three numbers in A.P. is 18 and the sum of their squares is 194. Find the numbers.
15. Prove that tan sec 1 1 sin /tan sec 1 cos
17. Find in what ratio does the line 2x –3y – 2 = 0 divides the join of points (3, -1) & (8, 9).

18. Find the median life time of the a lamp from the data given below:
Life time in hours 150-200 200-250 250-300 300-350 350-400 400-450 450-500
No. of lamps 24 36 65 46 54 32 64

Section – C

10 marks each Questions :
19. Find all the zeros of the polynomial 4 3 2 2x ?3x ?3x ?6x ?2 given that two of its zeros are 2&? 2 .
20. A boat goes 20 km upstream and 30 km downstream in 8 hours. In 10 hours it can go 30 km upstream and 50 km downstream. Find the speed of the stream and speed of boat in still water.
21. Two pipes running together can fill a water tank in 11&1/9 minutes. If one pipe takes 5 minutes more than the other to fill the tank while running alone then find the time taken by each of the pipes to fill the tank.
22. As observed from the top of a lighthouse, 200m above the sea level, the angle of depression of a ship sailing directly towards it, changes from 300 to 450 in a span of 6 minutes. Find the distance traveled by the ship during this time and also the time in which it will reach at the lighthouse base.

Science Sample Paper

Set-1 :
Time: 01½ hr.
Max. Marks: 50

Section A – Physics

Marks 20 :
1. Name a mirror that can give an erect and enlarged image of an object? [1]
2. Give two differences between a real image and a virtual image [2]
3. Define power of a lens and define one dioptre. [2]
4. With respect to air the refractive index of kerosene is 1.44 and that for diamond is 2.42. Calculate the refractive index of diamond with respect to kerosene. In which of the two media the speed of light will be more and why? [3]
5. What is scattering of light? Why the colour of a clear sky blue? [3]
6. A concave lens of focal length 15cm forms an image 10cm from the lens. How far is the object placed from the lens? Draw the ray diagram. [3]

Section B – Chemistry

Marks 20 :
1. State two properties of carbon which lead to the huge number of carbon compounds.[1]
2. What would be the electron dot structure of cyclopentane?
3. A mixture of oxygen and ethyne is burnt for welding. .Can you tell why, mixture of ethyne and air is not used? [3]
4. Write the molecular formula of the acid from which ester (propyl acetate) has been derived
5. How can ethanol and ethnoic acid be differentiated on the basis of their physical and chemical properties. [3]
6. Three elements A,B and C have 2,3 and 4 electrons respectively in their outer most shell. Write their group number to which they belong in the modern periodic table and their valencies.

Section C – Biology

For Medical Students :
Marks 10 :
1. Why is DNA copying an essential part of the process of reproduction? [2]
2. Give two reasons for the appearance of variations among the progeny formed by sexual reproduction.
3. Differentiate between homologous and analogous organs [2]
4. With the help of flow chart show sex determination in humans.