Ghorakhal Sainik School Entrance Exam, Final Count down Model paper maths for Class VI by 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 6^th 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°

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