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ALL INDIA SAINIK SCHOOL ENTRANCE EXAMINATION 2015 CLASS VI
TIME : 2 HOURS MAX MARKS : 200
1. This paper contains two parts you have to answer all the questions in both the parts
2. Part ‘A’ – Mathematical knowledge test has three sections containing 30 questions Q no 1 to 10 carry 2 marks
each; 11 to 20 carry 3 marks each ; 21 to 30 carry 5 marks each
3. Part ‘B’ – language ability test contains 9 questions. Q no 1 & 2 carry 15 marks each and remaining questions
carry 10 marks each.
4. Write your answers in blue point pen only
PART A – MATHEMATICS
1. Estimate the difference of 843 and 402 to the nearest 100
2. If an aeroplane travels with a speed 1020 km/hr for 4
1
6
hours. Find the distance covered by it.
3. Convert 2222 hours in to days and hours.
4.
15 𝑚
1000 𝑘𝑚
find its percentage
5.
10
3
,
12
5
,
8
4
arrange the fractions in ascending order
6. Simplify : 16-[4 ÷ 2 { 6 –(8 of ½ )}]
7. In an isosceles triangle ABC, if one angle is 55®. Find the third angle
8. Find the LCM of 75, 90 , 125
9. Convert 312®F in to Celsius scale
10. Write the largest and smallest five digit number using 5,3,7,0,1.
11.Find the HCF of 902, 410 , 164
12.Find the mean of first 10 even numbers
13.A baby elephant drinks 12 litres of milk a day. How much milk will it drink in 2 years?
14.24 ladoos are there in 1 kg. How many ladoos are there in 8 kg? How much boxes are needed to
pack them if 16 ladoos are there in each box.
15.Find the radius of a circle whose circumference is 79.2 cm. (π = 22/7)
16.Find the perimeter of rectangle of length 60 cm and breadth 30 cm
17.John plans to tile his kitchen with square tiles with the side of 10 cm. if his
kitchen length is 2.2 m and 1.8 m wide, how many tiles does John need?
18.Simplify 125 – 5 x 125 ÷ 5 + 5
19.Find the squares which comes between 75 and 225
20.Jubeda took a loan of Rs 4000 on 12% per annum. How much money she has to repay after 3
years?
21.Find the square root of 4
25
36
22.Find the angles ∠AOB and ∠BOD in the given figure
23.Anil’s monthly salary is 600000. He spends Rs 97914 on food, Rs 33116 on clothes and Rs 111419 on other
expenditures. Find his monthly savings.
24.A fraction which has numerator greater by 3 than its denominator. If the denominator is
reduced by 3 and the numerator is reduced by 2 then the result will be 1/5. Find the numerator.
25.How many stones of 0.5 m2
can be fixed in a court yard of length 1500 m and breadth 1000 m. If
the cost of fixing one stone is Rs 2.50, then find the total cost of fixing stones in the court yard.
26.Fill in the blanks
a.
3
21
=
1
?
b) 0.01 =
1
?
c) r =
𝐷
?
d)
4
20
=
?
30
e) largest seven digit number = ________
27.In a class of 40 students, 40% are in first division, 30 % are in 2nd
division and remaining are in 3rd
division. Find the number of students in each category.
28.Find the perimeter and area of the given figure
29.A book seller sold 100 books for Rs 990 and earned a profit of Rs 99. Find the cost price of each
book.
30.a. A shop keeper sold a radio which had a marked price of Rs 900 with a discount of 15 %. Find
its selling price.
b. The LCM and HCF of the two numbers are 18 and 256. If one number is 128, find the
other.

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SAINIK SCHOOL ENTRANCE EXAMINATION MATHS

  • 1. ALL INDIA SAINIK SCHOOL ENTRANCE EXAMINATION 2015 CLASS VI TIME : 2 HOURS MAX MARKS : 200 1. This paper contains two parts you have to answer all the questions in both the parts 2. Part ‘A’ – Mathematical knowledge test has three sections containing 30 questions Q no 1 to 10 carry 2 marks each; 11 to 20 carry 3 marks each ; 21 to 30 carry 5 marks each 3. Part ‘B’ – language ability test contains 9 questions. Q no 1 & 2 carry 15 marks each and remaining questions carry 10 marks each. 4. Write your answers in blue point pen only PART A – MATHEMATICS 1. Estimate the difference of 843 and 402 to the nearest 100 2. If an aeroplane travels with a speed 1020 km/hr for 4 1 6 hours. Find the distance covered by it. 3. Convert 2222 hours in to days and hours. 4. 15 𝑚 1000 𝑘𝑚 find its percentage 5. 10 3 , 12 5 , 8 4 arrange the fractions in ascending order 6. Simplify : 16-[4 ÷ 2 { 6 –(8 of ½ )}] 7. In an isosceles triangle ABC, if one angle is 55®. Find the third angle 8. Find the LCM of 75, 90 , 125 9. Convert 312®F in to Celsius scale 10. Write the largest and smallest five digit number using 5,3,7,0,1. 11.Find the HCF of 902, 410 , 164 12.Find the mean of first 10 even numbers 13.A baby elephant drinks 12 litres of milk a day. How much milk will it drink in 2 years? 14.24 ladoos are there in 1 kg. How many ladoos are there in 8 kg? How much boxes are needed to pack them if 16 ladoos are there in each box. 15.Find the radius of a circle whose circumference is 79.2 cm. (π = 22/7) 16.Find the perimeter of rectangle of length 60 cm and breadth 30 cm 17.John plans to tile his kitchen with square tiles with the side of 10 cm. if his kitchen length is 2.2 m and 1.8 m wide, how many tiles does John need? 18.Simplify 125 – 5 x 125 ÷ 5 + 5 19.Find the squares which comes between 75 and 225 20.Jubeda took a loan of Rs 4000 on 12% per annum. How much money she has to repay after 3 years? 21.Find the square root of 4 25 36 22.Find the angles ∠AOB and ∠BOD in the given figure 23.Anil’s monthly salary is 600000. He spends Rs 97914 on food, Rs 33116 on clothes and Rs 111419 on other expenditures. Find his monthly savings. 24.A fraction which has numerator greater by 3 than its denominator. If the denominator is reduced by 3 and the numerator is reduced by 2 then the result will be 1/5. Find the numerator.
  • 2. 25.How many stones of 0.5 m2 can be fixed in a court yard of length 1500 m and breadth 1000 m. If the cost of fixing one stone is Rs 2.50, then find the total cost of fixing stones in the court yard. 26.Fill in the blanks a. 3 21 = 1 ? b) 0.01 = 1 ? c) r = 𝐷 ? d) 4 20 = ? 30 e) largest seven digit number = ________ 27.In a class of 40 students, 40% are in first division, 30 % are in 2nd division and remaining are in 3rd division. Find the number of students in each category. 28.Find the perimeter and area of the given figure 29.A book seller sold 100 books for Rs 990 and earned a profit of Rs 99. Find the cost price of each book. 30.a. A shop keeper sold a radio which had a marked price of Rs 900 with a discount of 15 %. Find its selling price. b. The LCM and HCF of the two numbers are 18 and 256. If one number is 128, find the other.