Sainik School Amaravathinagar Entrance exam Model paper set 01

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1.      A leap year has _____________ Days and a year which is divisible by____ is known as a leap Year.
2.      Is the year 2010 A leap year? (Show Calculation)
3.      Write  the number 8754201 in Words
4.      Write the following in numbers in words, 130000307
5.      Write down the greatest five digit number and the greatest three digit number and find their difference.
6. Make the greatest and smallest 5 digit number and find its sum form the following numbers: - 8, 0, 5, 1, 7
7. Name the place value 7 and Face Value of 3 in the number 38347509
8. In a city there were 5, 73, 983 people. Out of these
   2, 84,093 were males. How many females were there?
9. Find the missing number (*) in the following question of multiplication     5 4 7  x  2 * 9 = 158083
10. Write all the prime numbers and add the total of numbers from 10 to 50

 II-Chapter -02 HCF and LCM
11. Find the H.C.F of 51, 85 and 153.
12. Find the L.C.M of 90, 126, 135 and 255.
13. What is the lowest number which when divided separately by 15, 29, 36 and 48 will in each case leave 8 as remainder?
14. Four bells toll at an intervals of 3, 4, 5 and 8 seconds beginning together, after how many second will they again toll together?
15. H.C.F of two numbers is 11 and their L.C.M is 693. If one number is 77, find the other number.

III Chapter -03 Fractions:
16. The sides of a triangular plot measures 48.68 meters 55.24 meters and 36.17 meters. Bu how much does the sum of the sides fall short by 147 m?
17. Find the value of 29 x 119 ÷ 17  - 89 + 2006
18. Which of the following fractions is the greatest? 2/15, 3/ 10, 4/ 21 ?
19. Akshay had a certain sum of money. He bought pens with 1 / 8th  and a T-shirt with 1/4th of the remainder. Finally he purchased books by spending 1/8th of what still remained. After all his shopping he was left with Rs.72. How much did he had in the beginning? 
20. If 2/3 of plot is worth Rs.70,000, find the value of 1/3rd of it?

IV BODMAS:
21. ½ ÷ {2 ¼ - (1/3 + ¼)}
22. Simplify: 2/3 x 5 ½ x 2 x 7 and 5/6 x 9/ 11
23.  (7 + 7 +7) ÷ 3 / (19 +8) – (21 ÷ 3) =?
24.    23.86 – 5.03 + 6.74=?
25. [6 of 2+ {4x 2 + (9÷3)}]

V- Conversions:
26. Convert 6543 hours into
a) Days                 b) Weeks            
27. Convert 189 milligram into  a) Grams and  b)  Kilograms
28. How many seconds are there in 6 weeks 13 days and 13 hours?
29. Reduce to centimeters:-
a) 5 hectometres, 7 decametres and 4 metres
b) 9 Hectometres 6 decameter and 3 metres
30. In a family 3 litres, 3 decilitres and 5 centilitre milk is consumed per day. How much milk was consumed in the month of January?

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