Sainik school entrance question paper 2015 Maths
2014 - SAINIK
SCHOOL NAGROTA
ENTRANCE
EXAMINATION
PAPER I - MATHEMATICS
AND LANGUAGE ABILITY
CLASS – VI
Time : 2 Hrs Max.
Marks : 200
Part – “A”
Mathematics- Section – I
(Each question carries two marks)
1. The
difference in the Local value and the face value of 4 in the numeral 547503 is___
2. A train starts from Bhopal at 8.00 p.m and
reaches Mumbai next day at 10.00 a.m. Distance between Bhopal and Mumbai is 560
km. Find the speed of the train.
3. Find
the diameter of the circle whose circumference is 44 cm .
4. Find
the common factors of 22, 30 and 48
5. Divide
the amount of Rs. 2000/- between Rekha and Shyam in the ration of 2 : 3
6. If
the cost of 6 cans of Juice is Rs. 426, then what will be the cost of 10 cans
of Juice?
7. Find 2/5 of ( 7/9 of 4/3)
8. Add
0.07, 0.077, 0.0777
9. Find
the LCM of 20, 42, 105
10. Find 25 ¾ of 104 / 5
Section II ( Each question Carries
three marks)
11. A
car takes 5 hours to cover a distance of 300 km. Find the speed of car. How much should the speed in km/hour required
to cover the same distance in 4 hours?
12. Divide
Rs. 9000 between A,B and C in the Ration 3 : 4 : 5
13. If
the area of a circular region is 154 sq.m, then find the circumference.
14. There
are 30 girls in a class if 3/5th of the class is girls, then what is
the total strength of the class?
15. The
angles of a triangle are ( 2x + 5)
, (2x+10) and (
2x=15)
, find the angles.
, (2x+10) and (
2x=15) , find the angles.
16. If
the cost of a trouser is Rs. 1150 and the cost of a shirt is Rs. 925, what is
the total cost of 155 trousers and 215 shirts?
17. The
average weight of 16 boys in a class is 50.25 kg and that of the remaining 8
boys is 45.15 kg. Find the average weights of all the boys in the class.
18. Three
candidates contested an election and received 1136, 7636 and 11628 votes
respectively, Find the percentage of the total votes received by the winning candidate get?
19. 
]
]
20. A floor is 10 m long and 8m wide. A square
carpet of 7m is laid on the floor. Find
the area of the floor that is not covered with carpet.
Section-III ( Each question carries
Five Marks)
Q.21. How many square tiles of side
40 cm are needed for a room of length 16 m and breadth 10m. Find the total cost
of tiles, If each tile costs Rs 55.
Q.22. Find Area and perimeter of
following figure
Q.23.
Reena took a loan of Rs1200 with
simple interest for as many years as the rate of
interest. If she paid Rs432 as
interest at the end of the loan period, what was the rate of interest?
Q.24.Salim takes 25 seconds and
Abdul takes 30 seconds to run 100 m. If both of them run 2 km individually, how
many more minutes will Abdul take than Salim
Q.25. The area of a square and a
rectangle are equal. If the side of the square is 40 cm and the breadth of the
rectangle is 25 cm, find the length of the rectangle. Also, find the perimeter
of the rectangle.
Q.26. Arrange the
following in Descending Order:- 
Q.27. Find the least multiple of 7,
which leaves a remainder of 4, when divided by 6, 9, 15 and 18.
Q.28. A
sum of Rs725 is lent in the beginning of a year at a certain rate of interest.
After 8 months, a sum of Rs 362.50 more is lent but at the rate twice the
former. At the end of the year, Rs 33.50 is earned as interest from both the
loans. What was the original rate of interest?
Q.29. Find the
product of ab ( a² + b²) and evaluate if
a =2 and b = ½
Q.30.A car owner buys petrol at Rs8.0
Rs10.0 and Rs20.0 per litre for three successive years. What approximately is
the average cost per litre of petrol if he spends Rs4000 each year?
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