Maths skill test for class VI - Sainik School Free solved papers compiled by defence academy coimbatore

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Maths skill test for class VI

Q.1.   444 - ? ÷ (4÷2 )= 100

2. Find the Difference between the answers of Greatest 4 digit number minus greatest two digit Number and Sum of greatest single digit number and greatest two digit number

3. Write down the Average of the 10 prime numbers from 30 to 75

4. What are the factors of 42?

5. 13.5 divided by 0.135 =?

6. What will be the cost of 3 and 3/4 dozen apples if 4 apples cost Rs.24?

7. Find the Amount on an investment of Rs.8500 invested for 5 years and 3 months at the  rate of 7.5 %  Simple Interest per annum.

8. Calculate the % of gain on an item that was bought of Rs.8800 & sold for Rs.9500


9. What will be the distance covered in 45 minutes if a vehicle travels at the rate of 15 m/s

10. Find the difference between areas of two circles that has a diameter of 140 m and 70 m respectively


Section – II 4 x 20 = 80

11. 2 ½ + 3 and 2/3 + 4 ¾ = ? 

12. A man bought a cycle for Rs.875 and spent Rs.75 on its repair and sold it at a profit of 12%. Find his selling price?

13. Ram types 750 words per every 1800 seconds. How many words will he type is 7 minutes?

14.Sita scored 68% out of 600 and Geeta scored 69% our of 500, How many marks did they score  out of the total marks.


15.  Find the Rate of interest on Rs.1200, Simple Interest Rs.234 invested for 36 months.

16. ABCD is a quadrilateral, Angle A = 42 °, B = 54°, Angle C= X°, and Angle D = 70°

 Find angle C.

17.  A train takes 200 minutes to cover a distance of 140 kms. How many hours will it take to cover 250 km?

18. A snail moves up a pole of 10 m every day, and slips down 5 m the next day. How much till will it take to reach the top of a pole that is 20 m high?
19. If a man joins duty on 01st Dec 2015 and quits his job on 15 September 2016, how many days would he have completed?

20.  A courtyard 22 m long and 14 m broad is to be laid with bricks of length 25 cm and breadth 16cm. Find the number of bricks required?   







Answers:-
1.(444/ 44) / 4 = 100

2.  
Greatest 4 digit number is 9999
Greatest 2 digit number is   99
Difference is                        9900
Greatest single digit number is 09
Greatest two digit number    is 99
Sum is                                         108   and 900 – 108 = 9972


3. Write down the Average of the 10 prime numbers between 30 to 80

31, 37, 41, 43 and 47,  53, 59, 61, 67, 71 = 467 / 10 = 46.7 Answer

4. What are the factors of 42?

1, 2, 3, 7, 14, 21, 42

5. 135 divided by 0.135 =?

135 x 1000 / 135 = 135000 / 135 = 1000

6. What will be the cost of 3 and 3/4 dozen apples if 4 apples cost Rs.24?

1 dz = 12,  Hence 3 and ¾ dz = 3 x 12 = 36 + 9 = 45 apples
Cost of  4 apples = Rs. 21  ,    Hence 1 apple is 24/ 4 = Rs. 6
Therefore cost of 45 apples = 45 x 6 =  Rs.270

7. Formula to be used SI = PNR / 100 and A = SI + P
(8500 x 63 x 75) /  100 x 10 x 12 = 40162500 /12000 = 3346.875 + 8500
Amount  - Rs.11846.875


8. Calculate the % of gain on an item that was bought of Rs.8800 and sold for Rs. 9500

9500 – 8800 = 700 / 8800 * 100 = 7.95%

9. What would be the distance covered in 45 minutes if a vehicle travels at the rate of 15 m/s

15 x 18/ 5 =3x18 = 54 km / h
Hence in 45 min 54x ¾ = 40.5 km answer

10. Find the difference between areas of two circles that has a diameter of 140 and 70 m respectively.
Pie x r x r = 70 x 70 x 22 / 7 = 15400 sq m – 3850 sq m =    11550 sq m


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