Sainik School Gopalganj - Entrance Exam 2016- Maths model papers by www.sainikrimc.com Defence Academy Coimbatore
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Sainik School Class VI Entrance Examination- Revision Test Compiled by
www.sainkrimc.com Defence Academy Coimbatore 094437 20076
Subject:
Mathematics
Max marks: 100 Time
2 hours
Number system:
1. Which of the following numbers are prime? (3, 28, 29, 31,
47, 60, 63, 70)----------------( 1 Mark)
2. Evaluate: 41.3 + 6.079 +0.38 +
0.5-------------------------------------------------------------------(2 Marks)
3. Evaluate: 0.000224 ÷ 16 =
?----------------------------------------------------------------------------(2
Marks)
4. BODMAS: solve 2 [2 – {2- (2-2⁻⁻⁻⁻)
}]----------------------------------------------------------------(2 Marks)
HCF &
LCM
5. Find the HCF of 72, 60 and
96------------------------------------------------------------------------( 2
Marks)
6. Find the LMC of 32, 64 and 128----------------------------------------------------------------------(
2 Marks)
7. HCF X LCM =_______________________of
numbers------------------------------------------(1 Mark)
8. The product of 2 Nos: is 144 and the HCF of two numbers
is 8. Find the LCM of the numbers. (2)
9. Find the smallest 4 digit no: such that when it is
divided by 12, 18, 21& 28, leaves remainder 3 (2)
Squares and Square
Roots
10. Write the Square roots of a) 25, b) 169, c) 361 and d)
400------------------------------------( 2 marks)
11. A school collected Rs.2304 as fees from its students. If
each student paid as many Rs. as there were students in the school, how many
students were there in the school?-------------------------( 2 Marks)
Average:
12. Find the average of the first 10 natural
numbers.----------------------------------------------( 3 marks)
13. The average of 11 results is 30 that of the first five
is 25 and that of the last five is 28. Find the value of the 6th
number.--------------------------------------------------------------------------------------------(
3 Marks)
14.A father is nine times the age of his son. After 3 years, the father’s age will be five
times the age of his son, find their present age.
---------------------------------------------------------------------------( 4
marks)
Ratio and
Proportion
15. The sides of triangle are in the ration 5 : 6:13, if its
perimeter is 48 cm, find its sides---( 2 marks)
16. Divide Rs. 1380 among Anand. Akshay and Dev so that the
amount Anand receives is 5 times as much as Dev’s shars and is 3 times as much
as Akshays share.------------------------------------( 3 marks)
Percentage
17. What is 34% of
2000?---------------------------------------------------------------------------------(
2 mark)
18. Rena deposits
Rs.600 per month in her post office saving bank account. If this is 10 % of her monthly income, find
her monthly income.
-----------------------------------------------------------( 3 marks)
19. What is the percentage of Vowels in the English
alphabet?-----------------------------------(5 marks)
Profit and Loss
20. Raj buys a toy for Rs. 150 and sells is for Rs. 165.
Find his gain percent.-------------------(2 marks)
21. Yatinder bought a shirt for Rs.600 and sold it to
Akshay at a loss of 25%. For how much
did akshay buy the shirt? (3 Marks)
22. By selling a bed sheet for Rs.900, a seller losses 10%.
For how much should he sell the bed sheet to make a gain of 40 %?
--------------------------------------------------------------------------------(4
marks)
Time and Distance
23.Convert 18 km/hr into
m/s----------------------------------------------------------------------( 1
mark)
24. Convert 10 m/s into
km/hr---------------------------------------------------------------------( 1
mark)
25. A train 100 m long is running at a speed of 18 km/h.
what time it will pass a pole( 3 marks)
Time and Work
26. If Raj can do a
job in 12 days while Dev can do the same job in 15 days. If both work together
they will be able to complete the job in______________ days.-------------------------------------(
3 marks)
27. If 36 men can do a piece of work in 25 hours, in how
many hours will 15 men do it? ( 3 marks)
Simple Interest
28 What is the formula to find Time when, Aim R and P are
given?---------------------------( 1 mark)
29. Sarvesh borrowed Rs.1000 from Anand at the rate of 16%
per annum. How much interest will he have to pay at the end of 8 moths time? And also find the Total amount
paid.----------( 4 marks)
30. At what rate percent per annum will Rs.800 Amounts to
Rs.1000, in 2 years_____( 3 marks)
Perimeter, Area,
Volume, Temp and Algebra
31. A Garden is 250 metres long and 150 metres broad. How much distance does Ram cover in walking 4
times round the
garden?------------------------------------------------------------------------------(
2 marks)
32. A field is 450 m L & 250 m B. Find cost of putting a
fence around it at the rate of 50 paise/m(3 marks)
33. If the volume of a cuboid whose length and breadth are
20 cm and 10 cm is 800 cubic cm. Find the height of the same
cuboid-------------------------------------------------------------------------------(
3 marks)
34. A circle has an area of 962.5 sq cm find its
diameter.----------------------------------------( 3 marks)
35. Convert 167 ° F into C and 38.88 ° C into
F------------------------------------------------------( 3 marks)
36. Find the cost of painting a Triangle whose base is 20 m
and height is 12m at Rs. 10 p/m (4marks)
37. If a 2.5 and b = 3.5, what is the value of 2a + 3
b------------------------------------------------( 3 marks)
38. Find cost of painting a path of 3 m width and runs all
around a square of 9m at Rs.10 /sq m
(3)
39. Write the names of different Triangles and draw on
example of each type.----------- (2
marks)
40.Complementary angle of 46° and Supplementary angle of 91°
is__,___ (1)
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Answers to final
countdown test sainik class VI - 2016 Answers:
|
Q.No:
|
Answer
|
Explanation
|
|
1
|
3,29, 31 and 47
|
|
|
2
|
48.259
|
|
|
3
|
0.000014
|
224 / 16 x 1000000
|
|
4
|
2
|
|
|
5
|
12
|
|
|
6
|
128
|
|
|
7
|
Product
|
|
|
8
|
18
|
|
|
9
|
1011
|
|
|
10
|
5, 13, 19, and 20
|
|
|
11
|
48
|
|
|
12
|
5.5
|
|
|
13
|
65
|
|
|
14
|
Son 3 years, Father 27 years
|
|
|
15
|
Sides are, 10, 12 and 26 cm
|
|
|
16
|
Anand = Rs.900, Akshay Rs.300 and Dev Rs.180
|
|
|
17
|
680
|
|
|
18
|
Rs.6000
|
10 % of x = Rs. 600, 10/ 100 x
x = 600
X = 600 x 100 = Rs. 6000
|
|
19
|
19.23 %
|
No of Vowels in alphabet is 5
Therefore percentage is 5 / 26 x 100 = 250 / 3 = 19. 23
|
|
20
|
10 %
|
|
|
21
|
Rs.450
|
|
|
22
|
RS. 1400
|
CP is Rs.1000, Gain 40 %
|
|
23
|
5 m/s
|
|
|
24
|
36 km/ h
|
|
|
25
|
20 seconds
|
|
|
26
|
6 and 2/3 days
|
|
|
27
|
60 hours
|
|
|
28
|
T = ( six 100) P x R
|
|
|
29
|
Rs. 1106.66
|
|
|
30
|
25/ 2 %
|
|
|
31
|
3200 metres
|
|
|
32
|
Rs.700
|
|
|
33
|
4 cm
|
|
|
34
|
35 cm Dia
|
|
|
35
|
70 degree C and 102 degree F
|
|
|
36
|
10 x12 x 10 = Rs.1200
|
|
|
37
|
15. 5
|
|
|
38
|
15 x15 = 225 -81 = 144
|
144 x 10 = Rs.1440
|
|
39
|
Acute angled Triangle, Equilateral, Right angle, Obtuse angle,
scalene
|
|
|
40
|
44 ° and 91°
|
|
For Skill Builder kit, On
line tests, Books and CDs
Visit: www.sainikrimc.com Or www.ssbcoaching.com
Call 094437 20076, 0422 2511398
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