Ambikapur Sainik School Entrance Exam Maths Final Papers class VI 2016
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Sainik School Class VI Entrance Examination- Revision Test Compiled by
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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 6th 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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