22 Dec 2014 Sainik School Entrance Revision test- 1: 30 Hours- 100 marks

22 Dec 2014 Sainik School Entrance Revision test-  1: 30 Hours-  100 marks

1. What is the smallest 4 digit number that is exactly divisible by 99?
2. If a man buys a car for Rs. 95000 and spends Rs. 5000 on repair and sells it at a gain of 12 ½ % find the selling price of the car.
3. What is the amount that can be earned an investment of Rs. 8000, invested for 146 days at the rate of 9.50 % interest?
4. Find the Average of the first 7 odd numbers starting from 9.
5. If the L.C.M of two numbers is 56 and the product is 224, find its H.C.F.
6. An air craft takes off at a speed of 180 m/s, what is its speed in km / h?
7. Seven books cost Rs. 784, what would be the cost of 5 ¾ dozen books.
8. Simplify:- ( 3 ½ + 4 ¾  + 7 ¼ )  ÷   ( 9 of 1/3)
9. Find the Area and Perimeter of a rectangle whose Length is Twice its breadth , and the breadth  is 7.5 m
10. What would the weekly salary earned by a worker if he works 8 hours a day and is paid Rs. 75 per hour, He works for all the seven days in a week.

Section – II (10 x 3 marks)

11. What is the Square root of 225 / 441?
12. If x = 8, y = 7, then find the value of ( 3x  + 4y)
13.  The sum of two numbers which are in the ratio 5 ; 7 is 120, find the numbers.
14. Raju purchases some items for Rs. 255.50. If the rate of sales tax is 6%. Calculate the amount he has to pay for the items.
15. If 17 litres of petrol is required to cover 306 km, how much petrol will be required to cover 162 kms?
16. If 52 men can do a piece of work in 35 days, in how many days 28 men will do it?
17. A train 200 m long crosses a pole in 20 seconds? What is its speed in km/hr?
18. A tank can be filled by one tap in 8 hours and by another in 4 hours. How long will it take to fill the tank if both the taps are opened together?
19. Find the number which is 15% less than 240?
20. If a man sells the article for Rs. 720, he would lose 25%. For what must he sell it to gain 25%   

Section – III ( 10 x 5 marks)

21. On selling a sweater at Rs. 600, the seller lost 20 %. What is the Cost price of the sweater?
22. At what rate percent per annum will Rs. 1600 amount to Rs. 2832 in 5 ½ years?
23. The angles of a quadrilateral are equal and the fourth angle is equal to 60⁰, find the equal angles?
24. Construct a circle with the help of compass and  a scale whose Radius is 3.5 cm. Name the following parts by marking them on the circle

a)      Radius

b)      Diameter

c)       Arc

d)      Chord

e)      Find its area

f)       Its circumference

25. Draw a Rectangle of length 12 cm and breadth 8 cm  and find its area and perimeter
26. The perimeter of a triangular field is 144 m and the ratio of the sides is 3:4:5. Find the sides of the triangle.
27. Find the length of the Cuboid whose Volume is 260 cubic cm, and its width is 6.5 cm and height is 4cm.
28. With the help of a scale and Protector construct the following angles and name what type of angle are they?

a)      30 degree, 140 degrees, 290 degrees

b)      What is the definition of a complementary angle?

c)       What is the definition of a Ray?

29.  A get 66% out of 450 and B get 82 % out of 250, who scores better mark?
30.  Find the cost of fencing a circular garden whose Diameter is 7000 cm , cost of fencing per meter is Rs. 50  
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