All India Sainik School Entrance Exam, 2008

(Class-VI)

Paper-I Mathematics and Language

Part-A : Mathematics

Section-I

1. Find the quotient of the following –

(i) 93 ÷ 3.1 (ii) 144 ÷ 0.12

2. A school starts at 8.20 am and closes at 1.50 pm. Find the duration for which the school remains open?

3. The cost of 13 school bags is Rs. 1950, find the cost of 4 such bags.

4. Which of the following can be the angles of a triangle?

(i) 90°, 55°, 35° (ii) 105°, 55°, 40°

5. The length of a rectangular field is 45 m. and breadth is 35 m. Find the area of field.

6. Write the smallest and greatest 5-digit number using 9, 0, 4, 2 and 7.

7. Arrange the numbers in descending order –

42059, 40259, 40529, 40592, 42952

8. Write the following Hindu – Arabic numerals in Roman numerals –

(i) 44 (ii) 95

9. Find first four common multiplies of 5, 2 and 3.

10. Find the value of –

Section-II

11. Classify each of the following as acute, obtuse or right angle –

(i) 138° (ii) 76°

(iii) 90° (iv) 32°

(v) 92° (vi) 89°

12. A shopkeeper earns a profit of Rs. 75 on a sewing machine. if the cost price of the machine is Rs. 2018.50 what is its SP?

13. Write True or False –

14. A Bank employed a daily-wager for 89 days. He joined the Bank on Feb. 10, 2004. On which date his term would be completed?

15. Add 2 hours 40 minutes 40 seconds and 4 hours 3 minutes 50 seconds.

16. Simplify –

17. Find the volume of a brick whose length is 22.5 cm, breadth is 10.5 cm and height is 9 cm.

18. A carpet 5 m. 20 cm. long and 3 m. 20 cm. board, is to be surrounded by a lace. Find the length of lace required.

19. Find the circumference of the circles whose diameters are 8 cm and 14 cm.

20. In the adjoining figure, PQR is a triangle and PQ = PR and ∠Q = 50°. Find the values of other two angles of the triangle.

Section-III

21. Draw a circle whose length of circumference is 44 cm with the help of compass and write the length of the diameter by measuring.

22. The depth of a swimming pool at six different places is 344 cm., 275 cm., 192 cm., 147 cm., 233 cm., and 300 cm.

(i) Find the average depth of the swimming pool.

(ii) At how many p laces the depth is more than the average depth?

23. A, B and C have a total of Rs. 1771. The ratio of the money between A and B is 5 : 7. If C has Rs. 571, calculate A’s and B’s share.

24. Fill in the blanks –

(i) 4.3 + ….. = 0.043

(ii) SP = Rs. 820, Loss = Rs. 40, CP = ……

(iii) Sum of the three angles of a triangle is …..

(iv) Circumference = …… × diameter

(v) Perimeter of square = ……

25. Match the following –

(i) The complementary angle of 45° (a) 90°

(ii) Measurement of right angle (b) Supplementary

(iii) The quadrilateral has the sides (c) 45°

(iv) If the sum of the two angles is 180°, then they are (d) 110°

(v) Supplementary angle of 70° (e) Four

26. Anil got 60 marks out of 125, Ankit got 140 marks out of 280, whose score is better?

27. (i) Convert the following into decimal –

(a) 9% (b) 25%

(e) 4/5

(ii) Convert the following decimals into a fraction-

(a) 2.02 (b) 0.01

28. Arrange the following fractions in descending order-

29. Which is the least 6-digit number exactly divisible by 83.

30. A boy spends 1/3 of his money in a shop, then he goes to another shop and spends 1/2 of that was left. He is left with Rs. 15. Find out how much total money did he has?.

Part-B : Language

1. Read the following passage carefully and answer the questions –

Narmada is one of the great rivers of India. She is the longest river in Penninsular India. She is believed to be older than Himalayan rivers. Scholars say that the rocks she flows over are so old that they were there when dinosaurs roamed the earth. Today this river is known all over the world for the large number of massive dams that are to be built across her.

Narmada springs from the top of Amar Kantak the highest peak of the Maikal mountain in eastern Madhya Pradesh, to begin her course of 1,245 kilometres between the Vindhya and Satpura ranges. She flows west-south-west towards the Arabian sea, until she pours out her water into the Gulf of Khambat in Gujarat.

(a) Which is the longest river in Penninsular India?

(b) Where does river Narmada spring from?

(d) Into which Gulf, river Narmada finally pours her water in Gujarat state.

(e) Which of the following statements is true?

(i) Narmada springs from Amarnath peak. (True/False)

(ii) Narmada pours her water into the Bay of Bengal. (True/False)

(iii) Narmada is believed to be even older than Himalayan rivers. (True/False)

2. Write an essay in 15 sentences on any one of the following topics –

(a) My School

(b) A Visit to Market.

3. Form meaningful sentences by rearranging the words in proper order.

(a) The/belongs/to/book/Ramesh.

(b) is/good/a/player/Dhoni/cricket.

(d) Fond of /she /music/is.

4. Make a sentence of your own for each Bold word given in the following passage.

(Don not copy an sentence from the given paragraph)

At morning time I have the desire to read the Newspaper. Newspaper reading gives us the detailed knowledge of world events. It also gives us a chance to read stories, poems and jokes and all this entertain us. I find the Newspaper reading as most intersecting activity of the day. We all should develop habit of Newspaper reading.

5. Use each word in separate sentences of your own to show the difference in the meaning of the words of the pairs given below –

(a) Said, Said (b) Wet, Weight

(e) Here, Hear

6. Choose the correct article (a, an or the) and fill in the blanks –

(a) …… Bible is a pious book.

(b) Raja is ……. honest boy.

(d) The train is late by ……. hour.

(e) The sun rises in ……. East.

7. Give one word for the following –

(a) One who treats patients ?

(b) One who dances?

(d) One who plays Guitar

(e) One who makes furniture?

8. Fill in the blanks with the words that are opposite in meaning to those given in the brackets –

(a) These are ……. mangoes. (raw)

(b) That is very …….. building. (small)

(d) She is a ……. girl. (ugly)

(e) These are ……. grapes. (sour)

9. Changes each of the following as directed –

(a) Sachin is a good player. (Change into Interrogative)

(b) This is a lovely flower. (Change into Exclamatory)

(d) There are 500 cadets in my school. (Change into Interrogative)

(e) We have won the match. (Change into Exclamatory)

Paper-II: Intelligence Test

Directions : In each of the following question find the odd one.

1. (a) Jesus (b) Buddha

2. (a) Raincoat (b) Umbrella

3. (a) Fox (b) Wolf

4. (a) Barber (b) Carpenter

5. (a) Gangtok (b) Singhbhum

6. (a) Carrot (b) Potato

7. (a) Coat (b) Socks

8. (a) January (b) March

9. (a) Bulb (b) Fan

10. (a) Lungs (b) Liver

Directions: In each of the following questions complete the series.

11. U, O, I, E, ……

(a) B

(b) C

(d) Z

12. A, C, F, H, …….

(a) I

(b) J

(d) L

13. 3, 6, 18, 72, …….

(a) 144

(b) 288

(d) 360

14. 1, 2, 6, 24, ……

(a) 72

(b) 120

(d) 96

15. 5, 16, 49, 104, ……….

(a) 133

(b) 144

(d) 181

16. 1, 4, 9, 16, 25, …….

(a) 35

(b) 36

(d) 64

17. 20, 19, 17, ……..

(a) 12

(b) 13

(d) 15

18. 2, 3, 5, 7, 11, ……….

(a) 12

(b) 13

(d) 15

19. 3, 9. 27, 81, ……….

(a) 243

(b) 343

(d) 324

20. A, B, D, G, …………

(a) M

(b) L

(d) H

Directions : In a certain language CHARCOAL is coded as 45164913 and MORALE coded as 296137, how are the following words coded in that language?

21. ARCHER

(a) 164576

(b) 185476

(d) 184576

22. MECHRALE

(a) 26756137

(b) 27456137

(d) 29456137

23. ROCHEL

(a) 695478

(b) 691387

(d) 694573

24. LARCH

(a) 36145

(b) 31645

(d) 31456

25. MARCH

(a) 24615

(b) 25416

(d) 23456

26. COLLER

(a) 397758

(b) 497782

(d) 493376

27. REAL

(a) 8519

(b) 6713

(d) 6719

28. COACH

(a) 38137

(b) 49145

(d) 85145

29. ALLOCHRE

(a) 17693935

(b) 15933653

(d) 13368957

30. HEARL

(a) 57361

(b) 57163

(d) 57931

Directions: In each of the following questions, four words have been given, out of which three are alike in some manner and the fourth one is different. Choose out the odd one.

31.

(a) Jasmine

(b) Coriander

(d) Rose

32.

(a) Diving

(b) Driving

(d) Sailing

33.

(a) Cochin

(b) Vishakhapatnam

(d) Mumbai

34.

(a) Charan Singh

(b) S. Radhakrishnan

(d) Chandrashekhar

35.

(a) Potato

(b) Ginger

(d) Cabbage

36.

(a) Birbal

(b) Faiz Ahmed

(d) Tansen

37.

(a) Lakshadweep

(b) Sikkim

(d) Manipur

38.

(a) Father

(b) Sister

(d) Friend

39.

(a) Thin

(b) Tall

(d) Small

40.

(a) Man

(b) Lion

(d) Deer

Directions : Each of the following questions consists of unmarked figures followed by four figures mark (a), (b), (c) and (d). Select a figure from the marked figures which will continue the series established by the unmarked figures.

41. Problem Figures