All India Sainik School Entrance Exam. 2016

(Class-VI)

Paper-I : Mathematics and Language Ability

Part-A : Mathematics

Section-I

(Each question carries two marks.)

1. Estimate the difference of 879 and 338 to the nearest hundred.

2. Write 15 m as a percentage of 1000 km.

3. Find LCM of 120, 210 and 225.

4. Arrange in ascending order.

5. Find the sum of

6. An aeroplane cover 1020 kms in an hour. How much distance will it cover in

7. Convert 131℉ into Celsius scale.

8. Convert 2222 hours into days and hours.

9. One of the two equal angles of an Isosceles triangle measures 55°. Find the measure of all the angle of triangle.

10. Find the radius of a circle whose circumference is 79.2 cm. Given that π = 22/7.

Section-II

(Each question carries three marks.)

11. Find the square numbers lying between 75 and 225.

12. Simplify : 125 – 25 × 125 ÷ 25 + 25.

13. Sudha scored 23 marks out of 30 in maths and 29 marks out of 50 in Hindi. In which subject did the perform better and by what percentage?

14. Find the HCF of 902, 1394 and 3321.

15. Jubaida tok a loan of Rs. 4000 on 12% annual interest. After 3 years how much money she will have to return?

16. Find the square root of

(a) (b)

17. A baby elephant drinks around 12 litre of milk every day. How much milk will it drink in two years?

18. John plans to tile his kitchen floor with square tiles. Each side of the tile is 10 cm. his kitchen is 2.2 M long and 1.8 M wide. How many tiles will John need?

19. There are 24 Laddoos in 1 kg. How many Laddoos will be there 8 kg? If 16 Laddoos can be packed in 1 box, how many boxes are needed to pack all the laddoos?

20. Find the mean of firs ten even numbers.

Section-III

(Each question carries five marks.)

21. Annual Income of Rohan is Rs. 6,00,000. He spends Rs. 99,250 on food, Rs. 36,750 on clothes and R.s 1,11,500 on other expenditures annually. What is his annual saving? What % of his income doe s he save in a year?

22. (a) Find the value of following angles :

(i) ∠BOC (ii) ∠COD

(b) Find HCF of 20 and 70 by prime factorization method.

23. Simplify:

0.2[3.5 – 0.3{2.5 +1.3(3.6 + 1.4)}]

24. Find out perimeter and area of the given diagram.

25. How many stones of 0.50 m² can be fixed in a court yard of length 15 m and width 10 m. if cost of fixing one stone is Rs. 2.50, what will be the expenditure on fixing stones in the courtyard?

26. An alloy contains 15% Carbon, 25% Zinc and rest is Copper. In 60 Kg alloy, find the quantity of each metal.

27. Fill in the blanks:

(e) In 75897, place value of 8 is …..

28. The denominator of a fraction is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to its denominator, the new number become 1/5. Find the original number.

29. Out of 40 students of a class, 60% passed in first division, 30% in second division and remaining in third division. Find out the number of students in each category?

30. (a) A shopkeeper sells a box costing Rs. 900 giving 15% discount. Find out sale price of the box?

(b) The HCF and LCM of two number is 18 and 252 respectively. If one number is 126 find out another number?

Part-B : Language Ability

1. Write 15 sentences on anyone of the following topics: (15)

My Friend or Aim of my life

2. Read the following passage carefully and answer the questions that follow :

Florence Nightingale was born on the 15^th May, 1820 at Florence in Italy and her parents called her after the name of the city where she was born. Her main ambition was to be a nurse and so the gave up all thoughts of marriage and personal happiness. She spent years visiting hospital after hospital. Day and night she visited every bed in the hospital to see that no patient was neglected and that all were as comfortable as possible. However hard she might have worked all day, every night she would take her lamp and move from bed to bed. ‘The Lady with the Lamp’ the soldiers called her and that is the name by which the world has remembered her ever since,

(a) Where was Florence Nightingale born?

(b) Why her parents named her Florence Nightingale?

(d) Give opposite of ‘comfortable’?

(e) What did she do ever night with a lamp in her hand?

3. Make a sentence of your own for each underlined word given in the following passage. (Do not copy and sentence from the given paragraph.) (5 × 2 = 10)

People who live in regions covered with forests and surrounded by hills generally believe that the desert is a vast stretch of dry, hot and sandy land. but those who have studied it, find the desert quite beautiful. It is not entirely uninhabited either. A variety of people, animals and plants make the desert their home.

(a) ………………………………..

(b) ………………………………..

(d) ………………………………..

(e) ………………………………..

4. Form meaningful sentence by rearranging the words in proper order; (5 × 2 = 10)

(a) a good/exercise/swimming/is

(b) Middle East/india/to/the/exporting/is/onions

(d) man/a strong/Sardar Patel/was

(e) named/Diamond/had/Newton/little dog/a

5. Give one word for the following : (5 × 1= 5)

(a) One who knows everything ……….

(b) A building in which monks live ………….

(d) All the customs and beliefs of a society ……………….

(e) Eater of flesh ……………….

6. Choose the correct article (a, an or the) and fill in the blanks. (5 × 2 = 10)

(a) Here is ……. book I borrowed from you yesterday.

(b) Jordan drives …….. Mazda.

(d) James works as ……… electrician.

(e) Raman sang ………… song.

7. Use the given word in separate sentence of your own to show the difference in the meaning of the words of the pair given below: (5 × 2 = 10)

(a) Principal, Principle

(b) Cattle, Kettle

(d) Idle, Idol

(e) Floor, Flour

8. Change each of the following as directed : (5 × 2 = 10)

(a) I met an old man. (Change into Future Continuous)…………..

(b) The driver stopped the train. (Change into Passive Voice) ………

(d) Mr Verma teaches us grammar. (Change into interrogative sentences)……..

(e) Peter, said, “Imran will not be playing the match.” (Change into indirect sentence)……….

9. Give the Antonym (opposite) of the following words : (5 × 1 = 5)

(a) Arrest

(b) Boon

(d) Grateful

(e) Bravery

10. Write a letter to the Principal requesting him to organize an educational tour to Shimla. (10)

Paper-II: Intelligence Test

Max. Marks :100

Directions (Qs. 1 to 6): In the following questions, select the number(s)/letters from the given options for completing the given series.

1. 28, 25, 25, 23, 22, 21, ?

(a) 20

(b) 21

(d) 18

2. 80, 63, 72, 72, 64, 81, 52, ?

(a) 96

(b) 98

(d) 90

3. 0, 5, 22, 57, ?, 205

(a) 198

(b) 116

(d) 90

4. R K F ? B

(a) D

(b) C

(d) B

5. LAZ, NEX, PIV, ?

(a) SLS

(b) QNS

(d) RMS

6. –bbcaa-bcaa-bc-a-bca

(a) bacab

(b) abbab

(d) bcaab

7. In a certain code LIBERATE is written as 56403170, TRIBAL will be written in the same code as:

(a) 734615

(b) 736415

(d) 034615

8. In a certain language, (a) ‘FOR’ stands for ‘old is gold’; (b) ‘ROT’ stands for ‘gold is pure’; (c) ‘ROM’ stands for ‘gold is costly’. How will ‘pure old gold is costly’ be written?

(a) TFROM

(b) FOTRM

(d) TOMRF

9. Facing the West direction, Priya jogs for 20 m, turns left and goes further 40 m. She turns left again and jogs for 20 m. Then she turns rights to go 20 m to reach the park. How far is the park from her starting point and in which direction?

(a) 20 m South

(b) 40 m West

(d) 100 m East

10. Pointing to a woman in the photograph a man said, “She is the daughter of my grandmother’s only son. How is the woman related to the man?

(a) Mother

(b) Daughter

(d) Sister

11. If the following words are arranged in natural order, what will come in the last place in ascending order?

1. Captain

2. Brigadier

3. Major

4. Lieutenant-General

5. Lieutenant

(a) Lieutenant-General

(b) Brigadier

(d) Major

12. What would be the proper order of the following :

1. Decameter 2. Meter

3. Kilometer 4. Centimeter

5. Milimeter

(a) 1 4 3 2 5

(b) 5 4 1 2 3

(d) 5 4 2 1 3

Directions (Qs. 13-17) : In the questions given below one term is missing. Based on the relationship of the two given words/numbers find the missing term from the given options.

13. Physicist : Physics : : ? : Anatomy

(a) Botany

(b) Botanist

(d) Biologist

14. Frequently : Always : : Selden : ?

(a) Often

(b) Rarely

(d) Never

15. RRS : XMW : : ITB : ?

(a) PNE

(b) NOG

(d) OOF

16. BYDW : FVHT : : GQIO : ?

(a) JLNP

(b) QSTR

(d) KNML

17. Which number will come in the place of question mark?

25 : 81 : : 36 : ?

(a) 121

(b) 93

(d) 103

Directions (Qs. 18-24): In each of the following questions, there are four options. Three numbers/ words in these options, are alike in certain manner. Only one number/word does not fit in. Choose the one which is different from the rest.

18.

(a) Tutor

(b) Principal

(d) Professor

19.

(a) Pond

(b) River

(d) Brook

20.

(a) Quotation

(b) Duty

(d) Octroi

21.

(a) 3215

(b) 9309

(d) 2850

22.

(a) 24

(b) 90

(d) 36

23.

(a) 3730

(b) 6820

(d) 4604

24.

(a) 2587

(b) 7628

(d) 2867

25. In the following list of numerals, how many 3s are followed by 3, but NOT preceded by 3?

2 4 6 3 3 1 5 7 8 3 3 3 4 6 2 3 3 3 3 9 7 2 3

(a) 1

(b) 2

(d) 4

26. If the + and × signs of the following equations are inter-changed, which will be the correct equation?

(a) 7 × 5 + 3 = 20

(b) 4 + 9 × 1 = 42

(d) 2 + 11 × 4 = 28

27. If ‘+’ stands for multiplication ‘x’ stands for addition, ‘+’ stands for subtraction and ‘−‘ stands for division, then what will be the result of the following equation?

7 × 4 ÷ 10 × 2 + 5 = ?

(a) 7

(b) 0

(d) 15

28. IF the day before yesterday was Thursday, when will Sunday be?

(a) Tomorrow

(b) Day after tomorrow

(d) Two days after today

29. If the seventh day of a month is three (3) days earlier than Friday, what day will it be on the nineteenth day of the month?

(a) Sunday

(b) Monday

(d) Friday

Directions (Qs. 30 and 31): In the following questions select the right option which indicates the correct code for the word or letter given in the question.

30. If ‘w’ is coded as ‘a’, ‘s’ as ‘r’ and ‘r’ as ‘w’, how will ‘answer’ be written?

(a) wnsaes

(b) anraew

(d) wnraes

31. In certain military code, SYSTEM is written as SYSMET, and NEARER as AENRER, what will be the code for FRACTION?

(a) CRAFNOIT

(b) FRCAITNO

(d) FRACNOIT

32. A and B are two brothers. C is sister of B. D is sister of E. E is son of A. Who is D’s uncle?

(a) D

(b) E

(d) C

Directions (Qs. 33-35): In each of the following series determine the order of the letters. Then from the given options select the one which will complete the given series.

33. B A F E J I P O ? U

(a) V

(b) T

(d) Q

34. V R O K ? D

(a) L

(b) I

(d) J

35. CFI, IKM, OPQ, ?

(a) UUU

(b) UST

(d) TUV

Directions (Qs. 36-40): The sound figure in the first unit of the Problem Figures bears a certain relationship to the first figure. Similarly, one of the figures in the Answer Figures bears the same relationship to the figure in the second unit of the Problem Figures. Locate the figure which would fit the question mark.

36.

(a) (b) (c) (d)

37.

(a) (b) (c) (d)

38.

(a) (b) (c) (d)

39.

(a) (b) (c) (d)

40.

(a) (b) (c) (d)

Direction (Q.s 41-45): Each of the following question consist of problem figures followed by answer figures. Select from amongst the answer figures which will continue the same series or pattern as established by the problem figures.

41.