Model Paper for Sainik School Entrance Examination ( Mathematics) Class VI

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All India Class VI Sainik School Entrance Examination
Revision paper by www.sainikrimc.com-  Sainik academy Coimbatore

Numeration:
1.      What is the greatest and least five digit number that can be formed from the following numbers without repeating any of them.  ( 9,6,3, 0,2)
2.      Write in Roman numeral 567
HCF and LCM
3.      Find the LCM of 6, 16 and 28
4.      Find the HCF of 9, 36 and 81 is

  Fractions and Decimals:
5.      Simplify:  9 ½ + 6 ¾ - 2 ½
6.      If Somu spent 2/3 of his savings on purchase of book and it was Rs. 200. What was his whole saving?
7.      Add:- 95.009 + 23.002 + 0.003
Percentage:
8.      What is 12 ½ % of 800?
9.      A cow was bought for Rs. 25,000 and the buyer sold it for Rs. 30,000 what was the % of Gain?
Unitary method:
10.  If 8 pens cost Rs. 72 how much will 2 dozen pencils cost ( 1 dz – 12 pencils)
11.  What would be the cost of 1.750 kg of cake if 0.250 kg of cake costs Rs. 75?
Simple Interest:
12.  Find the simple interest earned on Rs.10, 000 invested for 6 months at 8 % rate of interest?
13.   Calculate the amount earned on 8000 invested for 3.5 years at 10.75 %?
Profit and loss
  1. A man bought a car for Rs. 1, lakh, spend Rs.10,000 in its repair, he sold it at a profit of   10 %, Find the Selling price of the car.
  2. Man mohan bought 1000 eggs at a cost of Rs. 2000, spent Rs. 250 on transport. While travel 20 eggs were broken, if he sold the remaining egg for Rs. 2.60 per egg. find the profit or loss incurred by him  
  3. Time and Distance:
A motor cycle was driven at a speed of 75 km /hour, how much distance will it travel in second, (answer should be in m/second) 
  1. A train takes 8 seconds to cross a pole, what would be the speed of the train in km/h?
  2.  Lines( Geometry)
a)      A line has_____ start point and _________end point.
b)      A _____ has one start point and NO end Point.
c)      An angle that is  less than 90 degrees is called_____________ angle
d)      An angle that Is more than 180 degrees is called______________angle
e)      A pentagon has _____ angles
  1. Find the area and Perimeter  of a square whose one side is 35 cm
       20 Find the cost of painting a Door one side. Whose length is 8m and breadth is 6 m, the cost of    painting is Rs. 10 per sq m.
  1. Find the Circumference and Area of a Circle whose diameter is 14 m
  2. List out the types of Triangles and draw an example of each type of triangle
  3. Find the volume of a Cube that has 8cm as one of its side.
  4. Find the volume of a cuboid whose, length is = 12 cm, breadth is 8 cm and height is 4 cm.
Temp conversion

  1. Convert 98 degree F into C
  2. Convert  50 degree C into F     

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