Mathematics Basic Test sainik entrance exam free
Defence Academy Coimbatore
A leading coaching academy for
Sainik, Military and RIMC Schools,
NDA, IMA, AFCAT
SSB, FSB Interview
http://www.ssbcoaching.com
call 094437 20076
class VI
Q.No.1. Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
Answer: 24
Q.No.2. If the area of a circle is 81pi square metre, find its circumference.
See Answer:
Q.No.3. Find the greatest common factor of 24, 40 and 60.
See Answer:
Q.No.4. In a given school, there are 240 boys and 260 girls. a) What is the ratio of the number of girls to the number of boys? b) What is the ratio of the number of boys to the total number of pupils in the school?
See Answer:
Q.No.5.If Tim had lunch at Rs.50.50 and he gave 20% tip, how much did he spend?
See Answer:
Q.No.6.Find k if 64 ÷ k = 4.
See Answer:
Q.No.7.Little John had Rs.8.50. He spent Rs.1.25 on sweets and gave to his two friends Rs.1.20 each. How much money was left?
See Answer:
Q.No.8.What is x if x + 2y = 10 and y = 3?
See Answer:
Q.No.9.A telephone company charges initially Rs.0.50 and then Rs.0.11 for every minute. Write an expression that gives the cost of a call that lasts N minutes.
See Answer:
Q.No.10. A car gets 40 kilometers per Litre of Petrol. How many litres of Petrol would the car need to travel 180 kilometers?
See Answer:
Q.No.11.A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
See Answer:
Q.No.12.A car travels at a speed of 65 km per hour. How far will it travel in 5 hours?
See Answer:
Q.No.13.A small square of side 2x is cut from the corner of a rectangle with a width of 10 centimeters and length of 20 centimeters. Write an expression in terms of x for the area of the remaining shape
See Answer:
Q.No.14. A rectangle A with length 10 centimeters and width 5 centimeters is similar to another rectangle B whose length is 30 centimeters. Find the area of rectangle B.
See Answer:
Q.No.15.A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 5 classes were half full, 3 classes were 3/4 full and 2 classes were 1/8 empty. A total of 70 students were absent. How many students are in this school when no students are absent?
See Answer:
Q.No.16. A large square is made of 16 congruent squares. What is the total number of squares of different sizes are there?
See Answer:
Q.No.17.The perimeter of square A is 3 times the perimeter of square B. What is the ratio of the area of square A to the area of square B.
See Answer:
Q.No.18.John gave half of his stamps to Jim. Jim gave gave half of his stamps to Carla. Carla gave 1/4 of the stamps given to her to Thomas and kept the remaining 12. How many stamps did John start with?
See Answer:
Q.No.19.Two balls A and B rotate along a circular track. Ball A makes 4 full rotations in 120 seconds. Ball B makes 3 full rotation in 60 seconds. If they start rotating now from the same point, when will they be at the same starting point again?
See Answer:
Q.No.20.A segment is 3 units long. It is divided into 9 parts. What fraction of a unit are 2 parts of the segment?
See Answer:
Q.No.21. Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make the box. What is the volume of the box? See Answer:
Q.No. 22. A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
See Answer:
Q.No. 23.Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter's age was twice the sum of Carla's & Jim's age. Find the present age of each one of them.
See Answer:
Q.No. 24.Linda spent 3/4 of her savings on furniture. She then spent 1/2 of her remaining savings on a fridge. If the fridge cost her Rs.150, what were her original savings?
See Answer:
Q.No. 25.The distance bewteen Harry and Kate is 2500 meters. Kate and Harry start walking toward one another and Kate' dog start running back and forth between Harry and Kate at a speed of 120 meters per minute. Harry walks at the speed of 40 meters per minute while Kate walks at the speed of 60 meters per minute. What distsnce will the dog have travelled when Harry and Kate meet each other?
See Answer:
Q.No. 30. In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?
See Answer:
Q. No. 31.The rectangular playground in Tim's school is three times as long as it is wide. The area of the playground is 75 square meters. What is the primeter of the playground?
See Answer:
Q. No. 32.Calculate the circumference of a circular field whose radius is 5 centimeters
See Answer:
Q.No. 33.John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
See Answer:
Q.No. 34.A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.
See Answer:
Q.No. 35. If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?
See Answer:
Q.No. 36.A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
See Answer:
Q. No. 37. Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her Rs.200, what were her original savings?
See Answer:
Q.No.38. In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
See Answer:
Mathematics Basic Test sainik entrance exam
class VI
Defence Academy offers
sainik entrance exam coaching
call 094437 20076
visit
www.sainikrimc.com
Answer: 24
Q.No.2. If the area of a circle is 81pi square metre, find its circumference.
See Answer:
Q.No.3. Find the greatest common factor of 24, 40 and 60.
See Answer:
Q.No.4. In a given school, there are 240 boys and 260 girls. a) What is the ratio of the number of girls to the number of boys? b) What is the ratio of the number of boys to the total number of pupils in the school?
See Answer:
Q.No.5.If Tim had lunch at Rs.50.50 and he gave 20% tip, how much did he spend?
See Answer:
Q.No.6.Find k if 64 ÷ k = 4.
See Answer:
Q.No.7.Little John had Rs.8.50. He spent Rs.1.25 on sweets and gave to his two friends Rs.1.20 each. How much money was left?
See Answer:
Q.No.8.What is x if x + 2y = 10 and y = 3?
See Answer:
Q.No.9.A telephone company charges initially Rs.0.50 and then Rs.0.11 for every minute. Write an expression that gives the cost of a call that lasts N minutes.
See Answer:
Q.No.10. A car gets 40 kilometers per Litre of Petrol. How many litres of Petrol would the car need to travel 180 kilometers?
See Answer:
Q.No.11.A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
See Answer:
Q.No.12.A car travels at a speed of 65 km per hour. How far will it travel in 5 hours?
See Answer:
Q.No.13.A small square of side 2x is cut from the corner of a rectangle with a width of 10 centimeters and length of 20 centimeters. Write an expression in terms of x for the area of the remaining shape
See Answer:
Q.No.14. A rectangle A with length 10 centimeters and width 5 centimeters is similar to another rectangle B whose length is 30 centimeters. Find the area of rectangle B.
See Answer:
Q.No.15.A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 5 classes were half full, 3 classes were 3/4 full and 2 classes were 1/8 empty. A total of 70 students were absent. How many students are in this school when no students are absent?
See Answer:
Q.No.16. A large square is made of 16 congruent squares. What is the total number of squares of different sizes are there?
See Answer:
Q.No.17.The perimeter of square A is 3 times the perimeter of square B. What is the ratio of the area of square A to the area of square B.
See Answer:
Q.No.18.John gave half of his stamps to Jim. Jim gave gave half of his stamps to Carla. Carla gave 1/4 of the stamps given to her to Thomas and kept the remaining 12. How many stamps did John start with?
See Answer:
Q.No.19.Two balls A and B rotate along a circular track. Ball A makes 4 full rotations in 120 seconds. Ball B makes 3 full rotation in 60 seconds. If they start rotating now from the same point, when will they be at the same starting point again?
See Answer:
Q.No.20.A segment is 3 units long. It is divided into 9 parts. What fraction of a unit are 2 parts of the segment?
See Answer:
Q.No.21. Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make the box. What is the volume of the box? See Answer:
Q.No. 22. A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
See Answer:
Q.No. 23.Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter's age was twice the sum of Carla's & Jim's age. Find the present age of each one of them.
See Answer:
Q.No. 24.Linda spent 3/4 of her savings on furniture. She then spent 1/2 of her remaining savings on a fridge. If the fridge cost her Rs.150, what were her original savings?
See Answer:
Q.No. 25.The distance bewteen Harry and Kate is 2500 meters. Kate and Harry start walking toward one another and Kate' dog start running back and forth between Harry and Kate at a speed of 120 meters per minute. Harry walks at the speed of 40 meters per minute while Kate walks at the speed of 60 meters per minute. What distsnce will the dog have travelled when Harry and Kate meet each other?
See Answer:
Q.No. 30. In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?
See Answer:
Q. No. 31.The rectangular playground in Tim's school is three times as long as it is wide. The area of the playground is 75 square meters. What is the primeter of the playground?
See Answer:
Q. No. 32.Calculate the circumference of a circular field whose radius is 5 centimeters
See Answer:
Q.No. 33.John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
See Answer:
Q.No. 34.A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.
See Answer:
Q.No. 35. If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?
See Answer:
Q.No. 36.A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
See Answer:
Q. No. 37. Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her Rs.200, what were her original savings?
See Answer:
Q.No.38. In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
See Answer:
Comments
Post a Comment