UPKAR PRAKASHAN, AGRA-2

ByJ. N. Sharma

© Publishers

Publishers

UPKAR PRAKASHAN(An ISO 9001 : 2000 Company)

2/11A, Swadeshi Bima Nagar, AGRA–282 002Phone : 4053333, 2530966, 2531101Fax : (0562) 4053330, 4031570E-mail : care@upkar.in, Website : www.upkar.in

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B-33, Blunt Square, KanpurTaxi Stand Lane, Mawaiya,Lucknow—226 004 (U.P.)Phone : 0522–4109080

● The publishers have taken all possible precautions in publishing this book, yet ifany mistake has crept in, the publishers shall not be responsible for the same.

● This book or any part thereof may not be reproduced in any form byPhotographic, Mechanical, or any other method, for any use, without writtenpermission from the Publishers.

● Only the courts at Agra shall have the jurisdiction for any legal dispute.

ISBN : 978-81-7482-466-0

Price : 280.00(Rs. Two Hundred Eighty Only)

Code No. 309

Printed at : UPKAR PRAKASHAN (Printing Unit) Bye-pass, AGRA

Contents

● General Information

Section-1Model Question Papers

● Model Question Papers-I …………………………………………………………… 2–13

● Model Question Papers-II ………………………………………………………...… 14–24

Section-2Paper-I (Mathematics)

1. Natural Numbers and Whole Numbers ………………………………………… 3–7

2. Integers ………………………………………………………………………………… 8–10

3. Sets ……………………………………………………………………………………… 11–13

4. L.C.M. and H.C.F. …………………………………………………………………… 14–18

5. Fractions ………………………………………………………………………………. 19–23

6. Unitary Method ………………………………………………………………………. 24–28

7. Average ………………………………………………………………………………… 29–31

8. Percentage …………………………………………………………..………………… 32–36

9. Profit and Loss ……………………………………………………………………….. 37–42

10. Simple Interest ……………………………………………………………………….. 43–48

11. Ratio and Proportion ………………………………………………………………... 49–51

12. Area and Perimeter ………………………………………………………………….. 52–55

13. Exponents and Radicals …………………………………………………………… 56–57

14. Algebraic Expressions ……………………………………………………………… 58–59

15. Multiplication of Algebraic Expressions ………………………………………… 60–62

16. To Find the value of a given Algebraic Expression …………………………… 63–64

17. Identities ………………………………………………………………………………. 65–66

18. Linear Equation in one variable ………………………………………………….. 67–70

19. Line and Angles ……………………………………………………………………… 71–74

20. Some Constructions ………………………………………………………………… 75–79

21. Quadrilaterals ………………………………………………………………………… 80–81

● Answers and Hints ………………………………………………………………… 82–111● Model Test Papers (1–10) ………………………………………………………... 112–151

( vi )

Section-3Paper-II (General Knowledge and Intelligence Test)

● General Knowledge ………………………………………………………………….. 2–12

● Exercise (1–40) ……………………………………………………………………….. 13–69

● Answers ………………………………………………………………………………… 70–80

● Intelligence Test ………………………………...……………………………………81–128

Section-4Paper-III (Language)

Part A—English Language● English Language 3–56

— Paragraph (1–25) …………………………………………………………..…… 3–13

— Letter Writing …………………………………………………………………… 13–16

— English Grammar ……………………………………………………………… 16–38

— Exercise (1–25) …………………………………………………………………. 38–46

— Answers ………………………………………………………………………….. 47–56

Part B—fgUnh Hk"k● æCn fopkj 3–24

— lfU| ………………………………………………………………………………... 3–5

— lekukFkhZ ;k i;kZ;okph æCn …………………………………………………………... 5–5

— fo¥kse æCn ………………………………………………………………………….. 6–6

— f¥ax …………………………………………………………………………………. 6–6

— opu ………………………………………………………………………………… 6–7

— vusd` æCnkÍ ds` f¥, ,d` æCn ………………………………………………………… 7–7

— eqgkojs rFkk ¥ksd`ksfDr;k∑ ………………………………………………………………. 7–9

— lkekU; væqf*;k∑ …………………………………………………………………….. 9–9

— æq* okD; ¥s[u ……………………………………………………………………... 9–10

— oLrqfuÆB iz'u ………………………………………………………………………... 10–21

— m®jek¥k ……………………………………………………………………………. 21–24

● i(-¥s[u …………………………………………………………………………………. 25–27

● fucU| …………………………………………………………………………………….. 28–32

● d`gkuh lajpuk ……………………………………………………………………………... 33–56

GENERAL INFORMATIONDefence of the country ought to be the primary concern of a nation, particularly

when the country is surrounded by the unfriendly neighbours. India for its richheritage and long history has been the object of animosity of her neighbours. Thedisturbances within the country also warrant the necessity of strong defence forces.Much before any one in the country thought of setting up an institution forpreparing young boys to join Armed Forces as officers, Dr. Sampurna Nanda, thethen Chief Minister of U.P. opened U.P. SAINIK SCHOOL in LUCKNOW in the year1960 Later on Ministry of Defence Government of India opened 24 Sainik Schools indifferent states. U.P. Sainik School has played a leading role in training young boysfor entry into Defence Forces as officers through National Defence Academy. Thisschool offers an opportunity of quality education on Public School lines with amilitary bias to the boys of U.P. only. This school is a residential English mediumschool affiliated to Central Board of Secondary School Education, New Delhi. Theever increasing demand of a suitable comprehensive guide for the Entrance Test ofU.P. Sainik School Lucknow is more than felt and the present book is an effort inthis direction.

Salient Features of the BookThis book has been divided into four sections viz. Model Question Papers,

Mathematics, General Knowledge and Intelligence Test, Language (Hindi andEnglish). The instructions to explain a particular chapter are given in simplestlanguage comprehensible by the students of class VI of Indian Schools. At the end ofeach chapter adequate number of questions are also appended. Break up of sectionsis given below :

1. Model Question Papers given in the first section. These Question Papers arebased strictly on the pattern of last years Question Papers.

2. In Mathematics section adequate number of examples are given before eachexercise. These examples fully explain the questions of the exercise. Questions ineach exercise are according to the need of the test. Keeping in view the role ofMathematics in cultivating the child’s thinking and learning skills, an approach thatemphasizes the discovery and understanding of mathematical concepts has beenadopted in this section. I have not tried to place before the finished product. I havedesigned the questions such that they help in inculcating the mathematical sense inthe students. Ten Model Test Papers of Maths have been given for the practice ofstudents.

3. In General Knowledge and Intelligence Test section synopsis of variousinformations about India, its neighbouring countries, important events, currentaffairs, sports/games and general science has been given for enhancing generalawareness of the students. Keeping in mind that there has been a virtual explosionin knowledge in all areas of human endeavour more than 1500 questions based onvarious topics are given in the form of 40 exercises. Various types of Intelligence Testhave been added to meet the requirement of the Test.

4. In language section [English and Hindi] the stress is laid on acquiring thecommunication skill rather feeding the students with grammatical rules. The wordsused are mostly of day to day usage. A conscious attempt has been made to givemaximum knowledge without over-straining or taxing the minds of students.Adequate number of exercises are given for practice.

( viii )

Admission ProcedureThe admission in U.P. Sainik School is open to the boys of U.P. domicile only.

The admission to the school is made once in a year in the month of July in class VIIonly. The Entrance Test is held in January/Feburary every year. At the time ofadmission the candidate should have passed class VI from any recognised school.His age should be between 10 and 12 years as on 02 July of the year of admission.Boys studying in class VI are also entitled for appearing in the test. They should passclass VI at the time of admission. Admission is granted on the basis of meritprepared after Interview and Medical examination. In the written examination,Mathematics is considered as core subject. Those candidates who fail to secure aminimum percentage in Maths paper as decided by the Principal will not qualify forevaluation of remaining two papers G.K. and Language.

Ten seats will be allotted to the candidates who pay full fee. The fee structure ofthe payment seats is double of the normal fee. Payment seats are offered to thecandidates in order of merit till the merit rank of 100 only. The written test will be inEnglish/Hindi medium.

The written test will have three papers :1. Mathematics Maximum Marks 100 Time 2 Hour3. General Knowledge and Intelligence Test Maximum Marks 100 Time 1 Hour3. Language Maximum Marks 100 Time 2 HourNote—The language paper will have two parts—Part A English Part B Hindi.

Examination CentreThe written examination will be held at the following centres—Agra, Faizabad, Lucknow, Allahabad, Gorakhpur, Meerut, Bareilly, Jhansi,

Varanasi.

InterviewThe candidates qualifying the written examination are interviewed at U.P. Sainik

School, Lucknow by a Selection Board constituted under the chairmanship ofPrincipal U.P. Sainik School, Lucknow.

Medical ExaminationThe candidates who qualify the Interview are required to appear before a Medical

Board. The findings of the Medical Board are final and binding. No review authorityis permissible and no correspondence on the subject is entertained.

Admission From and ProspectusPlease visit U.P. Sainik School Website www.upsainikschool.org or call 0522-

2476283 for obtaining Prospectus and Admission form for admission in class VII.

Model Question Papers

Model Question Paper-I

Mathematics1. 117 km/hr is equivalent to—

(A) 30 m/sec (B) 36 m/sec(C) 25 m/sec (D) 32·5 m/sec

2. The sum of 1% of 100 and 100% of 1is—(A) 2 (B) 3(C) 0 (D) 1·5

3. An angle more than 180° and lessthan 360° is called a/an—(A) Acute angle(B) Obtuse angle(C) Right angle(D) Reflex angle

4. On simplification the value of41 – [16 + {13 – 4(2 – 5)}] will be—(A) 12 (B) 0(C) 1 (D) 3

5. The greatest number of three digitswhich is exactly divisible by 3, 4, 6and 10 is—(A) 900 (B) 960(C) 990 (D) 950

6. A can do a piece of work in 10 daysand B can do it in 15 days. Howmany days will they take if theywork together ?

7. A garrison of 1200 men has provi-sions for 15 days. How long will theprovisions last if the garrison beincreased by 600 men ?

8. The marks obtained by 8 students ofa class in Mathematics are givenbelow :42, 38, 42, 47, 37, 29, 38, 37

(a) Find the average of the marksscored by the students.

(b) How many students scored marksmore than the average ?

9. (a) A coat originally priced atRs. 3500 is reduced to Rs. 3000. Findthe reduction per cent.(b) A’s salary is 50% more than B’ssalary. If B’s salary is Rs. 15,000.Find the salary of A.

10. The cost price of 15 articles be equalto the selling price of 12 articles. Findthe profit or loss per cent.

11. At what rate per cent simple intereston a certain sum of money doubleitself in 20 years ?

12. How many bricks 10 cm long 7 cmwide are needed to pave a rectangularfloor 14 m long and 12·5 m wide ?

13. (a) Add 2x + 3y; – 3x + 4y and x – 3y.(b) Multiply (2x + 3y) and (2x – 3y)

14. Find the value of a3 + b3 + c3 – 3abcif a = 3, b = – 2, c = – 1.

15. The supplementary angle of an angleis 4 times its complementary angle.Find the angle.

16. Construct a ΔABC such that ∠ B =90° AC = 5 cm and BC = 4 cm.Measure AB (Use compass andscale).

17. Simplify :(a) 4·7 × 13·5 + 5·3 × 13·5(b) 0·1 × 0·1 × 0·1 – 0·01 × 0·01 ×

0·01

U.P. Sainik School Model Paper | 3U

18. Two trains 400 m and 500 m long aremoving in opposite directions at aspeed of 50 km per hour and 40 kmper hour respectively. How longwould it take trains to pass eachother ?

19. In an isosceles triangle ABC, AB =AC. Bisectors of angles B and C meetat O. If ∠A = 40°. Find the ∠ BOC.

20. The following data gives the number(in thousands) of applicants registeredwith the employment exchange dur-ing 2001-07—(a) Construct a bar diagram of the

given data

Year No. of Applications

2001 122002 182003 202004 162005 202006 242007 30

(b) Calculate the mean of applicantsregistered from 2001 to 2007.

Answers with Hints

1. (D) 117 km/hr =117 × 1000

60 × 60 m/sec

= 32·5 m/sec

2. (A) 1% of 100 =1

100 × 100 = 1

100% of 1 =100100 × 1 = 1

Sum = 1 + 1 = 23. (D) Reflex angle4. (B) 41 – [16 + {13 – 4 (2 – 5)}]

= 41 – [16 + {13 – 4 × (– 3)}]= 41 – [16 + {13 + 12}]= 41 – [16 + 25]= 41 – 41= 0

5. (B) 2 3, 4, 6, 103 3, 2, 3, 5

1, 2, 1, 5L.C.M. = 2 × 3 × 2 × 5

= 60Greatest number of three digits willbe a multiple of 60.

60 × 10 = 60060 × 15 = 90060 × 16 = 960

Therefore, the greatest number of 3digits will be 960.

6. A can do a piece of work in 10 days.

In one day A will do 110 th of the

work. B can do the same work in 15

days. B will do 115 th of the work in

one day.Working together A and B will do

⎝⎜⎛

⎠⎟⎞1

10 + 115 of the work in one day.

∴ A and B will finish ⎝⎜⎛

⎠⎟⎞5

30 of the

work in one day.∴ A and B will complete the work in305 = 6 days.

7. 1200 + 600 = 1800For 1200 men provisions will last for15 days.∴ For 1 man provisions will last for1200 × 15 days.∴ For 1800 men provisions will last

for =1200 × 15

1800= 10 days.

8. (a) Average

=

42 + 38 + 42 + 47 + 37+ 29 + 38 + 37

8

=3108 = 38·75

U. P. Sainik School Entrance Exam.(Class VII)

Publisher : Upkar Prakashan ISBN : 9788174824660 Author : J. N. Sharma

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