20th model paper sainik school class VI Entrance
20th Model paper 31 December 2014 Sainik entrance Examination Class VI
Mathematics- Class VI
( No multiple choice in the actual paper)
1. Convert into smallest fraction 0.25, 0.50
and 0.75 (SSE 2005)
a) 25, 50, 75
b) 25/10, 50/ 100, 75/ 1000
c) 1/4, 1/2, 3/4
d) 0.25. 100, 0.50/ 100, and 0.75/
100
2. Express 7.5% as a fraction in its lowest form ( SSE-2006 )
a) 75/ 100 = 3 / 4
b) 75/ 1000 = 3 / 40
c) 75/ 10 = 15 / 2
d) 75
3. Write the value of - 4 ½÷ 2 ½ + ½ (SSE-
2007)
a) 2 and 3/ 10
b) 1 and 1/ 10
c) 3
d) 2 and 1/ 5
4. Find the first four multiples of 5,2 and
3 (SSE-2008)
a) 10, 4, 9, 12
b) 3, 2, 5, 10
c) 3, 6, 9, 12
d) 30, 60, 90, 120
5. Find the value of 1.36 divided by 0.4
a) 1.2
b) 1.3
c) 1.4
d) 1.6
6. The cost of 103 chairs is Rs. 29935, find
the cost of 1031 chairs
a) Rs. 283646
b) Rs. 293643
c) Rs. 299633
d) Rs. 293643. 35
e) Rs. 233643. 75
7. Find the value of 8 and 9/13 + 8/9 ( SSE- 2010)
a) 9 and 58 / 117
b) 8 and 68 / 117
c) 9 and 68/ 117
d) 7 and 78/ 117
8. Which of the following can be angles of a
Triangle?(SSE-2011)
a) 71° , 29 °, 80 °
b) 70°, 30 °, 60 °
c) 62°, 80°, and 98 °
d) 50°, 60°,75°
9. Find out the LCM of 75, 90 and 125 ( SSE-
2012)
a) 1250
b) 1120
c) 2220
d) 2250
10. The side of a square is 25 m. What is the
perimeter of the square? ( SSE-2013)
a) 10 m
b) 625 sq m
c) 100 sq m
d) 100 m
11. Simplify 10- 2 and1/3 x 3 + 3 ¾ ÷ 2½ ( SSE
- 2014)
a) 2 ½
b) 3½
c) 4½
d) 4¾
12. A train covers a distance of 560 km at a
speed of 70 km per hour. Find the time taken by the train to cover this
distance.(SSE- 2014)
a) 6.5 hours
b) 7. 75 hours
c) 8 hours
d) 8. 5 hours
13. If 15 men can do a piece of work in 20
days, in how many days can 25 men finish the same work?( SSE - 2013)
a) 10 days
b) 11 days
c) 11.5 days
d) 12 days
14. Find the AREA and CIRCUMFERENCE of a
circle with diameter 14 cm ( SSE-2012)
a) 154 cm and 44 sq m
b) 154 sq cm and 44 m
c) 144 cm and 22 m
d) 144 sq cm and 22 sq m
15. Find the value of "x" from the
given figure. (SSE -2011)
a) 12 °
b) 15°
c) 14°
d) 22°
16. A park is 15.30 m length, 13.20 m in
breadth, is to be surrounded by a barbed wire of four layers. Find the length of barbed wire required. ( SSE - 2010)
a) 550 m
b) 110 m
c) 220 m
d) 440 m
17. A litre of petrol costs Rs. 46.75 and a
litre of diesel costs Rs. 34.16. Find
the total cost of 600 litres of diesel and 100 lkitres of petrol. ( SSE - 2009)
a) Rs. 209496
b) Rs. 25171
c) Rs. 20996
d) Rs. 24171
18. A bank employed a daily wager for 89
days. He joined the bank of Feb 10,
2004. On which date his term would be completed? ( SSE - 2008)
a) 7 May 2004
b) 8 May 2004
c) 9 May 2004
d) 10 May 2004
19. What will the amount
Earned on (simple interest ) Rs. 462.50 for 3 ½ years at the rate of 4%
per annum ( SSE - 2006)
a) Rs. 462.50
b) Rs. 64.75
c) Rs. 527.45
d) Rs. 527.25
20. A man bought a bi-cycle for Rs. 8750,
spent Rs. 750 on its repair and sold it at a profit of 12 % . Find the selling
price of the cycle? ( SSE - 2006)
a) Rs. 10064
b) Rs. 10620
c) Rs. 10640
d) Rs. 16640
21. The capacity of two types of containers is
17 1/2 litres and 15 1/2 litres respectively.
How much water will be required to fill 12 tins of first type and 15
tins of second type? ( SSE- 2005).
a) 232.50 litres
b) 442.50 litres
c) 338.50 litres
d) 441. 50 litres
22. A factory assembles 225 machines a
day. In the year 2004, there were 72
holidays and the rest were all working days. How many machines will the factory
assemble in that year? ( SSE- 2006) [Clue- 2004 is a leap year]
a) 66150
b) 66015
c) 66020
d) 66240
23. On selling an article for Rs.75, Alka
loses 6.25 %, then find the cost price of the article. (SSE- 2007)
a) Rs. 92
b) Rs. 82
c) Rs. 80
d) Rs. 75
24. Which is the least 6 digit number exactly
divisible by 83. ( SSE- 2008)
a) 100015
b) 100005
c) 999985
d) 999990
25. A boy spends 1/3rd of his money in a shop,
then goes to another shop and spends 1/2 of what was left . he is left with Rs.
15. Find out how much total money did he
have? ( SSE- 2008)
a) Rs. 25
b) Rs. 85
c) Rs. 45
d) Rs. 65
26. A sum of Rs. 450 is distributed to three
persons A, B and C in the ratio 5: 3: 1
Find the share of A, B and C
a) A= Rs. 225 , B= Rs. 125 and C =
100
b) A= Rs. 300 , B= Rs. 90 and C = 60
c) A= Rs. 325 , B= Rs. 115 and C = 70
d) A= Rs. 250 , B= Rs. 150 and C = 50
27. A man bought 800 oranges for Rs. 560.00.
Seventy oranges got crushed. He sold the
remaining for Rs. 80 p each. Find the gain or loss % ( SSE - 2009)
a) Gain 4 and1/2%
b) Loss 4 and 2/7%
c) Gain 4 and 2/7 %
d) Loss 3 and 4/7%
28. A train running at a speed of 50 km per
hour takes 16 hours to complete a journey.
It stops for 1 hour on different stations during the journey. For how many hours the speed of the train be
increased so that it completes the same journey in 10 hours? ( SSE- 2011)
a) 65 km / h
b) 75.5 km/ h
c) 75 km/ h
d) 65.75 km/ h
29. Find average of 12 numbers. If the average
of the first 8 numbers is 21 and the average of the last four numbers is 18 (
SSE -2012)
a) 12
b) 16
c) 18
d) 20
e) 22
30. The perimeter of a square and
circumference of a circle are each equal to 44 cm. Find their areas, which area is greater and by
how much? ( SSE- 2013)
a) Area of Square = 121 sq cm, Area
of circle is 154 sq cm, and circumference is 44 cm, Dif = 33 sq cm
b) Area of Square = 121 sq cm, Area
of circle is 154 sq cm, and circumference is 44 cm, Dif = 33 sq m
c) Area of Square = 121 cm, Area of circle is 154 cm, and circumference is 44 cm, Dif = 33 sq cm
d) Area of Square = 121 sq cm, Area
of circle is 154 sq cm, and circumference is 44 cm, Dif = 33
cm
e) Area of Square = 121 sq m, Area of circle is 154 sq cm, and circumference is 44 cm, Dif = 33 sq
m
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