Model Paper for Sainik School Entrance Examination ( Mathematics) Class VI
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
- 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.
- 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
- 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)
- A train takes 8 seconds to cross a pole, what
would be the speed of the train in km/h?
- 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
- 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.
- Find the Circumference and Area of a Circle whose
diameter is 14 m
- List out the types of Triangles and draw an
example of each type of triangle
- Find the volume of a Cube that has 8cm as one of
its side.
- Find the volume of a cuboid whose, length is = 12
cm, breadth is 8 cm and height is 4 cm.
Temp conversion
- Convert 98 degree F into C
- Convert 50
degree C into F
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