sainik class VI revision paper mathematics

Sainik School Class VI Revision Test maths by www.sainikrimc.com

26 Dec All India Sainik School  Class VI Entrance Examination  Model Paper
Mathematics By www.sainikrimc.com
Each Question of section one is 3 marks ( 10x 2 =20)
1. (a) The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm?
    (b) The length of a young gram plant is 65 mm. Express its length in cm.
2. Write each of the following decimals in words. (a) 0.03 (b) 1.20 (c) 108.56 (d) 10.07 (e) 0.032 (f) 5.008
3. Write as fractions in lowest terms.
(a) 0.60 (b) 0.05 (c) 0.75 (d) 0.18 (e) 0.25 (f) 0.125
4. Which is greater?    (a) 0.3 or 0.4 (b) 0.07 or 0.02   (b) Which is Less   41/3 or 159/ 5?
5. Find the gain percentage of a book that was bought for Rs. 17 and sold for Rs. 18.50
6. Find the Amount that would be received on a Principal of Rs. 8850, invested for 8 years at 9% per annum simple interest.
7. The average of first 6 numbers is 32, last three numbers or 28, 35, 24, find the average of the first 3 numbers.
8. What would be the cost of 8 chairs if 1dozen tables are of the same price as the 8 chairs, cost of each Table is Rs. 150?    
9. Find the cost of a carpet that is 8m in length and 4 m in width, cost of each square feet is Rs. 30.
10. A horse runs at 36 km / hour and a man runs at 12m/s, which is faster?
Section  II ( 10 x 3= 30)
11. What is the Perimeter as well as area of a Rectangle whose Length is 7.5 m and breadth is 5.5 m?
12. Find the area and circumference of a circle whose Diameter is 35 cm.
13. Find the volume of a Tank that is 6.5 m in length, 4.5 m in breadth and 2.5 m in height?
14. What would be the time taken by a train to complete a journey that started at 0130hours and ended at 1915 hours?
15. a) Find the complementary of angle of 50 degrees
      b) Find the supplementary angle of 110 degrees?     
16 Convert the following as mentioned below:-
a) What is 10% of 672.3 kg?
(b) 42 is what percent of 132.3 g?
(c) 18.7 g is .5% of what amount?

17. 3 bells ring at intervals of 30 minutes, 45 minutes, and 20 minutes.  After how much time will the bells  ring simultaneously? 
18. Ramu took a loan of Rs. 12,500 for 146 days at 9% interest, and somu too Rs. 17,500 at 14% for 73 days. Who will pay more Simple interest to the banker?
19. A circle of 28 m dia is to be painted at the rate of Rs. 50 per sq m.    What would be the total cost?
20. If mohan spends 22 ½ % of his income on food and 33  1/3%  on rent, what will the saving, if his total monthly income is Rs. 30,000?
Section  III ( 5 x 8= 40)
21. Find the value of fencing a garden whose measurement is 95.5 m in L and 75.5 m in breadth, and the cost of fencing per m is Rs. 25.
22. Find the area of the 3 .5 m path that is running parallel to the Length and breadth of a field hose length is 60 m and breadth is 40 m?
23. Sohan got 89% of marks in an exam, if he got 667.50 marks in all what was the maximum marks in that examination?
24. A metal is 98 % pure and the pour metal weighs 539 grams, what would be its original weight with the mixture of pure and impure metal.
25. A train took 45 seconds to cross a platform and the speed of the train was 50 km/h. what is the length of the plat form ( ignore the length of the train)
26. Which is the smallest 6 digit number that is exactly divisible by 75?
27. An air craft takes 4 hours and 15 mins to reach its destination, if it travels at 115 m/s, what was the distance covered?
28. a)  Draw a circle with the help of compass on of Radius 3.5 cm and the other of R 5.5 cm. find the area of the path in between the two circles.   
28. b)  If x=3, y = 2 and z = 1.5 what would be the value of  (3x+ 2y – 2 z)?

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