Sainik School Class VI and RMS Class VI Entrance Exam Mathematics Practice paper for 2015
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05 December 2014 Sainik School
Entrance Examination Revision Paper for Class VI
2 marks each
1. Find
the Difference and the sum of the 4 digit numbers the greatest and the least
that you can form with the following ( no number is to be repeated) 9,1 ,0,6
2. Find
the LCM of 5, 12, and 16
3. Find
the cost of 3 tables and 6 chairs, if one table costs Rs. 1500 and one chair
costs Rs. 400
4. Find
the average of the first 5 even numbers starting from 4.
5. Find
the Selling price of a car, that was bought for Rs. 1 lakh, and repaired for
another Rs. 10,000, and sold at 10 % gain.
6. Find
the Amount that would be received by the investor, who invested Rs. 25,000, at
7.5% for 6 years.
7. Find
the Area and Perimeter of a rectangle whose Length is 8.5 m and with is 6.5 m.
8. Find
the Area of a circle whose Diameter is 28 m.
9. Find
the distance covered in 4 hours, by the
train which travels at a speed of 10 m / s?
10. Simplify:
8 ½ + 4 ¾ - ( 8 of ½ )
3 marks each
11. Find
the Breadth of a rectangle whose area is 144 sq.m and its length is 16 m
12. What
would be the Simple interest of an investment of Rs. 9000, invested for 73 days
at 10.5 %
13. Convert 850 days into years, month, weeks and days
14. Find
the cost of painting the floor that is circular in shape and has a diameter of
35 m, cost of painting the floor is Rs. 50 per sq m
15. A
man bought a motor cycle for Rs.8, 500 and repaired it by spending Rs. 1500,
and sold it for Rs 12000, what was his gain or loss Percent?
16. If
two angles of a triangle are 80 degrees and 60 degrees, what would be the other
angle?
17. Simplify:
( 3 ½ + 6 ¼ ) + ( 9 divided by 3) X ¾
18. A
runner runs 12.5 km on the first day, and 14.5 km on the second day and on the
third day 15.5 km. what was the average km he ran/ day ?
19. A
boy scored 72% our of 450 marks, what was his mark scored
20. Which
is bigger in area? A square that has one of its side as 12 m, or a rectangle
whose Length is 12 m and breadth is 11.5 m?
Section
3
Solutions to Dec 5th Mathematics Sainik Class VI
|
Q.
No
|
Answer
|
|
1
|
Greatest
4 digit No: is 9106
Smallest
4 digit No: is 1069 a) SUM ( means Add) = 10,275, ( Diff means subtract )=8037
|
|
2
|
5= 5
x2. 12 = 2 x 2 x3, 16 = 2 x 2 x2 x2
LCM = 5 x 2x3x2x2x2= 240
|
|
3
|
Cost
of Table = 1500 x 3 = Rs. 4500
Cost
of Chairs = 400 x 6 = Rs. 2400
Total = Rs. 6900
|
|
4
|
4+6+8+10+12
= 40/ 5 = 8
|
|
5
|
CP =
purchase price + repair = 1,00,000 + 10,000 = 1,10,000
Gain
10 % is
 |
|
6
|
To
find Amount = SI + P
P=
Rs. 25000, R = 7.5 % ( 75/ 10) and T = 6 years
Formula
SI = ( PxRxT) / 100
 |
|
7
|
To
Find the area of a rectangle = L x B
and Perimeter = 2 ( L+B)
8.5
x 6.5 = 55.25 sq m (Area) Perimeter = 2 (L + B) = 2 (8.5 + 6.5) =
2(15) = 30 m
|
|
8
|
Area
of a circle = pie x r x r ,
Diameter
= 28, R = 28/ 2 = 14 m,\
 |
|
9
|
10m/s
=
4hr
= 4 x 36 = 144km travelled in 4 hours
|
|
10
|
 |
|
11
|
To
find Area = L x B
L =
16, Area = 144 sq .m
B =
area/ L = 144/ 16 = 9 m
|
|
12
|
SI =
( PxRxT) /100
To
find the SI, given = P = 9000, R= 10.5% and time = 73 days
First
of all convert 73 days into Years and 10.5
as 105/10
Hence
 |
|
13
|
Convert
850 days into years = 365 x 2 = 073= 2 Years and 120 days = ( 30 x 4) 4
months
Hence
2 years and 4 months = 850 days
(
Assumption 365 days = 1 year and 30
days = 1 month)
|
|
14
|
Dia
of a circle is 35 m hence Radius = 35
/ 2 = 17.5 m
|
|
|
Area
of a circle = pie x r xr
 |
|
15
|
Purchase
price of mc is 8500 + 1500 repair= 10,000 Rs. Is CP, Profit is SP-CP=
12000-10,000= Rs. 2000
% of
gain =
 |
|
16
|
Three angles of a triangle = 180- ( two angles =
180-80+60)= 40 degrees)
|
|
17
|
(9 ¾ )+9/4 =
 |
|
18
|
12.5 + 14.5 + 15.5 = 42.5 / 3 = 14.166 km
|
|
19
|
 |
|
20
|
12 x 12 = 144 sq. m = Square
12 x 11.5 =138 sq. m = Rectangle
Hence Square has bigger area
|
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