Free -Revision Test for Sainik - RMS class VI Mathmatics By www.sainikrimc.com
December 18, 2014 – Revision Test- Sainik School Entrance Examination
Class VI
Time 2 hours Mathematics and Language 100
Marks
1.
Find
the Sum and Difference between the greatest and the least 5 digit number that
can be made from 1, 9, 0, 8 , 7.
2.
a)Write
in Roman letter 162
b) The Hindu-Arabic numeral for MMMD is ______.
3.
State whether true (√) or false (X).
Place value of 5 in 757434 < Place value of 5 in 7675434
Place value of 5 in 757434 < Place value of 5 in 7675434
4.
a)_______when all angles in the
triangle are less than 90 degrees.
b_______
triangle - when one angle in the triangle measures more than 90 degrees.
5.
a) When no sides in a triangle are
equivalent it is called_____________ Triangle
b)When
all the sides of a triangle are equivalent it is called___________Triangle
6.
Shiva walked 4 ½ kilometers
in 2 ½ hours. What distance did he walk in an hour?
7.
Find the time that a bus takes to travel, if it started from
Coimbatore at 9.15 pm , and reached Chennai at 11.30 am.
8.
The weight of 15 bags of Sugar is 1125 kgs. Find the weight
of 3 dozen bags of sugar.
9.
The Gain % on an article bought of Rs.1250 and Rs.250 spent
on repair, and sold for Rs. 1750 Is_
10. The Length
of a garden is 75m and breadth is 40 m, find the Area and Perimeter of the
garden.
Section – II
( Three Marks each)
11. Simplify
16-4 ÷2{6-(8 of ½)}
12. Find the
Radius of a circle whose circumference is 79.2 cm.
13. What is the
value of “X” if the average of the
following no is 20, ( 20, 26, 24, 21, 17 , 14 and x)
14. A carpet is
5 m and 50 cm long and 3 m and 25 cm broad. The carpet is surrounded by a lace.
Find the length of the lace in m.
15. Sanjay took
a loan of Rs. 8500 from the bank at the rate of 16% for 146 days. What is the
amount he should pay back to the bank?
16. In the
Sainik School Exam Sanjay got 366 marks out of 660 and Shiva got 300 marks out
of 500. Whose score is better? Also find their average.
17. How many
tiles of 10 cm square is required to cover the floor of a room that is 2.2m
long and 1.8 m wide?
18. A pond is 5
m long, 4 m wide and 2.5 m deep. How much water does it contain?
19. A bus
travelled a distance of 360 km in 10 hours. Calculate the speed in (a) m/sec.
(b) How far will it travel in `18 hours?
20. A man can
finish a piece of work in 12 days, when he works 8 hours a day. In how many
days will he finish the piece of work if he works 6 hours a day?
Section – III (Five marks each)
21. The average age of 25 students of a
class is 13 years. Out of them the average age of 15 students is 18 years. Find the average age of remaining
students.
22. A man spends 10% of his monthly
income on house rent and 30% of it on food. Find how much is left for other
expenses if his monthly income is Rs. 10,000?
23. A sum of Rs. 480 is distributed to
two persons Shiva and Sanjay in the Ratio 3 : 5, find the share of each of
them.
24. Find the least five digit number
which is exactly divisible by 75.
25. Ragul spend 1/5 of his income as house
expenditure and he spends 2/7 of his income
on transport and he saves Rs. 2034. Find the total income of Ragul.
26. Length of a park is 25m and breadth
is 20 m. The park is surrounded by a wire, If the wire is folded into a circle,
find its diameter.
27. The cost of 7 chairs is the same as
the cost of 3 tables. Find the cost of 3 chairs and 2 tables, if the cost of
chair is Rs. 1050.
28. Vijay bought 96 eggs at eh rate of
Rs. 18 per dozen. Out of them 6 eggs
were found broken. He sold the remaining eggs at such a price that he got a
profit of Rs. 18. Find the SP of each egg.
29. A) What is the complementary of 75
Degrees?
b) The total degrees contained in a triangle ( is sum of all the three
angles)is______
c) The sum of all the four angles of a quadrilateral is_________Degrees .
d) ( 8.9 + 1.1) divide by ____ is = 1
e) C.P of an item is Rs. 420, cost of repair is Rs.45, its sp is Rs. 480,
its gain is?
30.
Express the following in Decimal
form
a) 9 % =
b) 25% =
c) ¾ =
d) 2.02 as a fraction is_______
e) 0.100 as fraction is _______
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Q.No
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Answers: December
18, 2014 – Revision Test- Sainik School Entrance Examination Class VI
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1
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2
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a) 162
= CLXII ( b) The Hindu-Arabic numeral
for MMMD is 3,500.
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3
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a)
False Place value of 5 in 757434 = 50000
Place value of 5 in 7675434 = 5000, 50000 > 5000 So, the statement is false
b)
b) True
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4
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a) Acute,
(b) Obtuse
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5
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a) Scalene
(b) Equiangular
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6
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9/5 km in one hour he correct answer is: 9/5
Division is done9/2 divided by 5/2. Reciprocal of 5/2 is 2/5. 9/2× 2/5 = 9/5 9/5 km in one hour. |
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7
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14 hours and 15 minutes
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8
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One bag is 75 hence 15 bags is 1125 and 36 bags is Rs. 2700
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9
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For 1500 gain is Rs. 250, Therefore Gain % is 16. 7 %
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10
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75 x 40 = 3000 sq m ( Area) 2
( l + b) = 2( 75 + 40) = 2( 115) 230 m Perimeter
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Section -II
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11
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2
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12
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12.6 cm Radius
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13
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18
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14
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17.50 m
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15
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8500 x 16 x 2/500 = 17 x 8= Rs.544+ 8500 = 9044Rs. Amount
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16
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Shiva got better marks Sanjay = 55.45% and Shiva 60%
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17
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396 tiltes
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18
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50 cubic m
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19
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10 m/ s and 648 kms
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20
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16 days
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21
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Total age of remaining 10 students is 55 years and average is 5.5
Years
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22
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Rs. 6000
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23
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Shiva Rs. 180 and Sanjay Rs.300
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24
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10050
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25
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25Total Income is Rs. 3955
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26
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Length of wire is 90m and therefore it is the Circumference hence dia
= 28.64 cm
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27
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Rs. 8050
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28
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Rs. 1.80
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29
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A) 15 Degrees
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b) 360
degrees
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c) 360
degrees
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d) 10
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e) Rs.
15
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30
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a)9% in decimal form is 0.09, b) 0.25
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c)0.75 , d)101 /
50, e) 1/10
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