Sainik School Entrance Exam - Class 6 Math Solved Papers

A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer?

Simplify 1 { 1/2 + 1/3 + 1/6 ÷ ( 3/4 - 1/3 )}.

Find the perimeter of the following figure.

A floor is 5 m long and 4 m wide. A square carpet of side 3 m is laid on the floor. Find the area of the floor that is not carpeted.

Find out the smallest number which is divisible by 6, 12, 18.

Which of the following measures of angles given can be those of a isosceles triangle?

The length of a rectangle is 5 cm more than its breadth. If the perimeter of the rectangle is 50 cm, then what is the area?

12 persons can finish a piece of work in l5 days. In how many days will the same work be completed by 20 persons?

The LCM of two prime numbers is

In a school of 1000 students, 330 come by bus, 400 come walking and the remaining are dropped by parents. What is the percentage of students that do not ride the bus to school?

A train from station A to station B covers a distance of 616km at a uniform speed of 112km/hr. It halts at station B for 1 h before starting back. How much time will it take to complete the journey and reach back to station A (i.e. from, A to B and back)?

A table was sold at 16% loss for ₹3360. Find the cost price of the table.

There are 17 rooms in a school, every room has two fans and four LED bulbs. How many switches are required for the school if every fan requires a switch and one switch is required for every two bulbs?

The product of two decimal numbers is 12.194. If one of them is 4.69, what is the other number?

Rahul purchases a chair for ₹600 and uses ₹200 for repairs. If he sells it for ₹1000, then he has no profit no loss

The temperature dropped 15ºC in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?

From a basket of mangoes when counted in twos there was one extra, counted in threes there were two extra, counted in fours there were three extra, counted in fives there were four extra, counted in sixes there were five extra. But counted in sevens there were no extra. At least how many mangoes were there in the basket?

Which of the following two-digit number when added to 27 gets reversed?

The ratio of income to expenditure of Radha is 7: 5. If she saves ₹2000 a month, what is her annual income?

The ratio of the length to breadth of a rectangular lawn is 3:5. It costs ₹3200 to fence. If at the rate of ₹2 a meter. What would be the cost of developing the lawn at the rate of ₹10 per square meter?

A , B and C divide an amount amongst themselves in the ratio of 4 :7: 9 respectively. If B's share in the amount is ₹2989 what is the total amount?

The average age of a class of 40 students is 18 yr. When the teachers age is also included to calculate the average age becomes 19 yr. What is the teacher's age?

What is the greatest number which when divides 3026 and 5053 leaves remainders 11 and 13 respectively?

Ravi purchased a chair at ₹500 and sold.it at ₹550. What was his gain or loss per cent?

A certain distance is being covered in 28 h by walking with a speed of 5 km/h. If the speed is increased by 2km/h, then in how much time the same distance will be covered?

A piece of wire 7/8-meter-long broke into two pieces. One piece was 1/4-meter long. How long is the other piece?

. What is the missing number in the sequence 2, 5, 10, 14, 18, 23, 26, 32, ...?

30 men can do a piece of work in 16 days. In how many days 8 men can do the same work?

Ram, Shyam and Mohan runs at speed of 75, 50 and 30 m/min respectively. After how much time will they meet together for the first time running with the same speed?

Represent 26 kg 5 g using concept of decimals.

At what rate, a sum of ₹6000 will amounts to ₹7800 is 5 yr?

What will be the depth of a cubical pond whose volume is 729 m³?

Evaluate 3 x 7 + 4 – 6 ÷ 3 - 7 + 45 ÷ 5 x 4 + 49.

In what time a train whose length is 100 m moving with a speed of 60 km/h crosses a platform whose length is 150 m?

Ashu takes 12 days to complete the work. Pranav takes 10 days to complete the same work. Ashu, Pranav and Ramu take 5 days to complete the same work. How many days will Ramu take to complete the same work?

The LCM of two numbers is 28 times of their HCF. The sum of their LCM and HCF is 1740. If one number is 240 then what is the other number?

Four clocks rings at the time interval of 6s, 8s, 12s and 18s respectively. If they ring together at 12 AM then how many times will they ring together within the time span of 6 min?

What is the least multiple of 23 which when divided by 18, 21 and 24 leaves remainders 7, 10, and 13 respectively?

A milkman has two cans of milk containing 75 L and 45 L of milk respectively. What will be the measure of largest vessel that can measure the milk of the two cans exactly?

A table was purchased at ₹1000 and was sold at ₹800. What was gain or loss% in this transaction?

The average weight of 6 boys gets increased by 5kg if a boy with weight 20 kg is replaced by a new boy. What is the weight of new boy?

A man covers a distance of 40km. He covers first 10 km at 10km/h, second 10 km at 20km/h, third 10 km at 30km/h and last 10km at 40km/h. What is the average speed of man?

If area of rectangular garden of 5m breadth is 300sq m, then what will be the length of garden?

If the square of a number is added to the square of 28 the result is 1808. What is the number?

Cost of a dozen pens is ₹180 and cost of 8 ball pens is ₹56. The ratio of the cost of a pen to the cost of a ball pen is?

A truck requires 108 L of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?

Find the simple interest on ₹5000 at the rate of 7½ % for a period of 3 yr.

The angles of a triangle are in the ratio of 1: 2: 3. Find the values of the angles.

One number exceeds another number by 36. The sum of numbers is 48, then the numbers are

At which one of the following times is the angle between the hands of a clock exactly one straight angle?

The greatest 8-digits number with given digits 5, 8, 7, 5, 2, 0, 6 and 1 is

Choose the correct option if number 52806, 52086, 52860, 52800 and 58260 are arranged in ascending order.

A number that must be subtracted from 925564 to make it equal to the sum of 234251 and 352421 will be

The product of 10101 x 25 is

The average age of 3 sisters is 15. If the ages of 2 sisters are 12 yr and 15 yr, the age of the third sister is

7/6 of a leap =........weeks

Write Roman numerals CDXLIX in Arabic numerals.

Value of (700 ÷ 10) - {12 x 8) + (34-10)} is

2 =.........%

Vicky bought a bicycle for ₹3000 and sold it for ₹2700. What was his loss or gain per cent?

A train leaves Hyderabad at 01:15 pm on Friday and reaches Chennai at 07:30 am on Saturday. The duration of the journey is

Karishma bought two necklace for ₹139500. She sold one of them for ₹75000 and the other one for ₹80000. How much money did she gain?

A tall office building has 85 floors. Each floor has 48 windows. Each window is to be decorated with 64 tiny bulbs. How many bulbs would be needed to decorate all the windows?

The smallest 5-digits number that is divisible by 19 is

The greatest number that divides 38 and 68 leaving 8 as remainder in each case is

The decimal notation of 10 kg 2 dag 6 g is

Which of the following pair of angles are supplementary?

The perimeter of the rectangle and square are same. Length and breadth of the rectangle are 10 cm and 8 cm, respectively. What is the area of the square?

Which of the following measures of three angles can be those of a triangle?

52º, 69º, 79º

30º, 69º, 71º

132º, 169º, 59º

32º, 69º, 79º

Which statement is true?

All- hexagons are triangles because they have at least I sides

All octagons are polygons because they have at least I sides

All parallelograms are rectangles because they have 2 sets of parallel sides

All rhombus are squares because they have 4 sides that are all the same length

The fraction equivalent to 1.25 is

The sum of two numbers is 11009. If one of them is 9999, the other number is

Simplify 6 ÷ 6 + 6 x 6 - 6.

Simplify 1 1/24 – 1 + 7/36.

Sara poured 1 1/8 cups of lemonade each in 5 glasses. What was the total amount of lemonade Sara poured in 5 glasses?

Ritu has 1/4 of a sack of rice. She divides the rice equally into 7 bags. What fraction of the full sack of rice is in each bag?

1 + 0 + 9/100 + 3/1000 is equal to

Which two quadrilaterals have both 2 pairs of parallel sides and 2 acute angles?

What is the sum of 20.08, 20.008, 20.088 and 20.888?

Round off 37504 to the nearest hundreds is

A train is running at a speed of 75 km/h. How much time will it take to cover a distance of 350 km?

A block of wood is in the form of a cube, its edge is 4 m. How many rectangular pieces of dimension 20 cm x 10 cm x 5 cm can be cut from the block?

In how many years, a sum of ₹5OO at 5% per annum will amount of ₹600?

The average of four numbers is 30. If the sum of first three numbers is 85, the fourth number is

What per cent of 10 km in 10 m?

The number of square tiles, of side 15 cm, required for flooring a room of size 3.6 m × 4.5 m, will be

The smallest odd number formed by using the digits 1, 2, 3, 4 and 5 is

Which of the following numbers are arranged in ascending order?

1/3, ½, 0.25

0.25, ½, 1/3

0.25, 1/3, 1/2

1/2, 1/3, 0.25

A boat is flowing in still water at the speed of 18 km/h. The speed of boat (in m/s) is

The value of 200ºF in degree Celsius is ............ [Use C = 5/9 (F -32)]

Find the difference between the number 36490 and the number obtained by interchanging the plates of 6 and 9.

Convert (3.75 of 5% + 7.25 of 10% ) into decimals.

What is the next row of numbers?

28   84   112

38   114  152

48   144   192

A boy runs around a rectangular filed of length 40 m and breadth 25m. How much distance will he run if he takes 4 rounds of that field?

A room is 15m long and 1Om broad. Find the cost of carpeting its floor is 1 sq cm of carpet costs ₹2.00.

The cost of a pack of 15 balls is ₹300 and a pack of 12 shuttle cock is ₹ 96. If Raghu bought 1 ball and 1 shuttle cock, how much would he pay to shopkeeper?

The greatest number which divides 624 and 936 exactly is 312. Find the smallest number which is divisible by 624 and 936.

A person purchased an old bicycle for ₹ 450 and spends ₹ 50 on its maintenance. If he sold the old bicycle for ₹ 600, then his profit percentage is

Find the area of figure given below

Amar spent 3/8 of his time studying Science. He spent as much time studying English as Science. What fraction of Amar's study time was spent studying English?

Find the LCM of 64, 28 and 104.

The cost of 5 T -shirts is the same as the cost of 7 trousers. If the cost of 1 T-shirt is ₹ 210. Find the cost of 1 trouser.

Find the largest number which can be formed by 3, 8, 7 and 9.

Simplify the following question/expression/ fraction

4 1/6 ÷ 2 1/8 of 1/6 – 4 1/6

A tailor has 37.5 m of cloth and he has to make 8 pieces out of a metre of it. How many pieces can be made out of it?

What should be less by the multiplication of 0.527 and 2.013 to get 1?

Convert 22 1/2 % in to a fraction

One of the equal angles of an isosceles triangle measures 35°. Find the measure of all the angles of triangle.

Find the radius of a circle in meter whose perimeter is 2156 cm. Given that

A bike covers 56 km in an hour. How many distance will it cover in 3 1/2 h?

P and Q can do a piece of work in 16 days and P alone can do it in 24 days. How long will Q alone take to complete the work?

The HCF of two numbers is 15 and their LCM is 1520. If one number is 380. What is the value of other number?

The simple interest on ₹ 600 for 4 yr and simple interest on ₹ 600 for 2 yr are together equal to ₹ 180. Find the rate of interest.

One-seventh of a number is 51. What will be 64% of that number?

Ravendra goes to school with a speed of 4 km/h and return to the village with a speed of 6 km/h. If he takes 3h in all, how far is his school from his village?

The cost of 2 rings and 4 bangles of gold is ₹ 46854. What is the cost of same 5 rings and 10 bangles?

Convert 26 km 900 m and 300 cm into cm.

What is the decimal value of 1 + 1/5 + 1/50 + 1/500 + 1/5000 ?

The owner of a gift's shop charges 44% more than the cost price. A customer paid ₹ 648 for a wallet. What was the cost price of his wallet?

Find out perimeter and area of the given diagram

One of the angle of a triangle is equal to the sum of the other two angles. If the ratio of the other two angles is 4 : 5, find each of the angles of triangle.

3 prizes are to be distributed in a quiz-contest. The value of the second prize is 5/6th of the value of the first prize and the value of third prize is 4/5 th that of the second prize. If the total value of the three prizes is ₹ 150. Find the value of each prize respectively.

The sum of the two positive integers is 98. The integers are in the ratio 3: 4. Find the both two integers.

A mart is 30 yr older than his son, after 12 yr, the man will be twice as old as his son. Find their present ages.

The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, then number obtained is 3/2 Find the rational number.

In an examination, it is required to get 36% of maximum marks to pass. A student got 113 marks and was declared failed by 85 marks. Find the maximum marks.

What is the value of simple interest on ₹1300 at the rate of 5% per annum for 146 days?

What is the value of z (in degrees), in the given figure.

From the smallest and greatest 6-digit numerals by repeating any 2 digits from 7, 9, 5, 4.

Find the square root of 7921.

If a man can do a work in 32 days, in how many days will 24 men complete the same work?

Find the simple interest, if P = ₹ 400, R = 365% per annum and time = 150 days.

Round 48,540 and 23,467 to the nearest 1000 and find the difference.

Express 804.291 kg as decagrams.

Find the smallest number which when divided by 12 and 20 leaves no remainder.

Sonali and Priya are classmates. Sonali completed her homework in 5/6 of an hour and Priya in ¾ of an hour. Who was faster?

Simplify 6 3/10 – 2 3/4 – 1 2/5

Two angles of a quadrilateral are each 90º and remaining two angles are such that one is 3 times the other. Find these two angles.

Find the ratio of 90 cm to 1.5 m.

Arrange the following in descending order:

3/7, 3/11, 3/5, 3/2 and 3/17.

The number of girl students in each class of a co-educational middle school is depicted by the pictograph:

Observe this pictograph and answer the following questions:

(a) Which class has the maximum number of girl students?

(b) Is the number of girls in Class V less than the number of girls in Class III?

(c) How many girls are there in Class VII?

Akhilesh runs a coffee shop and sells 51 cups of coffee in 6 hours. If this is three-fourths of the total number of cups he sells in the whole day, find out the number of cups he sells in a day.

Simplify 4 6/8 - { 3 1/3 + ( 2 1/2 - 1 1/4 )} .

Find the greatest number which divides 149 and 101 leaving remainder 5 in each case.

Mrs. Singhal deposited ₹10,000 in a Post Office Saving at an interest of 3% per annum. How much amount will she receive at the end of 4th month?

Suppose your watch gains 4 seconds every 8 hours. How many seconds will it gain in a week?

A fruit seller had 2,00,000 apples. He packed them in boxes. Each box contains 176 apples. How many boxes were used and how many apples were left over?

Find the average of all prime numbers between 60 and 80.

Bob wants to cover the floor of a room 3 m wide and 4 m long by squared tiles. If each square tiles. If each square tile is of side 0.5 m, then find the number of tiles required to cover the floor of the room.

Name the types pf following triangles:

(a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm.

(b) ∆ ABC with AB = 8.7 cm, AC = 7 cm, 8 cm and BC = 6 cm.

(c) ∆ PQR such that PQ = QR = PR = 5 cm.

(d) ∆ DEF with m ∠ D = 90˚

(e) ∆ XYS with m ∠ Y = 90˚ and XY = YZ.

Find the smallest 4 digit number such that when it is divided by 12, 18, 21 and 28, it leaves remainder 3 in each case.

How much time will a 171 m long train take to cross 229 long bridge, if it is running at a speed of 45 km/h?

Divide rupees 4000 among A, B, C, so that their shares may be in the ratio of 5 : 7 : 8.

Find the number of cubical boxes of cubical side 3 cm which can be accommodated in a carton of dimension 15 cm × 9 cm × 12 cm?

Fill in the blanks:

(a) There are only ….. symbols in Roman number is ………………

(b) The predecessor of the smallest 8 digit number is …………….

(c) 4/7 X ……………… = 84

(d) Length of a Rectangle =?/Breadth

(e) …………. Is the smallest prime number.

A crockery dealer ordered for 50 pieces of China tea sets for ₹ 18,000. When the goods arrived, he found that two tea sets were damaged. At what price per set should he sell the remaining tea sets of earn a total profit of ₹ 1200?

Vina’s father backed a rectangular cake. In the evening 5/6 of the cake did Vina eat?

(a) The product of two numbers is 2925. If LCM is 195, find HCF.

(b) Sohan bought rice at ₹ 4800.75 per quintal. Due to a fall in princes he could sell it as ₹ 4600.75 per quintal only. Find his total loss if he has bought 13.5quintals rice.

Estimate the difference of 879 and 338 to the nearest hundred.

Write 15 m as a percentage of 1000 km.

Find LCM of 120 , 210 and 225.

Arrange 1/3, 3/10, 5/6 ,2/5 in Ascending order.

Find the sum of 1 3/5 and 2 7/10.

An aeroplane covers 1020 km in an hour. How much distance will it cover in 4 1/6 hours ?

Convert 131° F into Celsius Scale.

Convert 2222 hours into days and hours.

One of the equal angles of an Isosceles triangle measures 55°. Find the measure of all the angles of triangle.

Find the radius of a circle whose circumference is 79.2 cm. Given that π=22/7.

Find the square numbers lying between 75 and 225.

Simplify: 125 – 25 x 125 ÷ 25 + 25

Sudha scored 23 marks out of 30 in Maths and 29 marks out of 50 in Hindi. In which subject did she perform better and by what percentage?

Find the HCF of 902, 1394 and 3321.

Jubaida took a loan of ₹ 4,000 on 12% annual interest. After 3 years how much money she will have to return?

Find the square root of

(a)6 9/36

(b)5 41/16

A baby elephant drinks around 12 litre of milk every day. How much milk will it drink in two years?

John plans to tile his kitchen floor with square tiles. Each side of the tile is 10cm. His kitchen is 2.2m long and 1.8m wide. How many tiles will John need?

There are 24 Laddoos in 1kg. How many Laddoos will be there in 8kg ? If 16 Laddoos can be packed in 1 box, how many boxes are needed to pack all the Laddoos?

Find the mean of first ten even numbers.

Annual Income of Rohan is ₹ 6,00,000. He spends ₹ 99,250 on food, ₹ 36,750 on clothes and ₹ 1,11,500 on other expenditures annually. What is his annual saving? What % of his income does he save in a year?

(a) Find the value of following angles –

(i) ∠BOC

(ii) ∠COD

(b) Find HCF of 20 and 70 by prime factorization method.

Simplify :

0.2 [ 3.5 – 0.3 { 2.5 + 1.3 ( 3.6 + 1.4 )}]

Find out Perimeter and Area of the given diagram.

How many stones of 0.50 m² can be fixed in a courtyard of length 15m and width 10m. If cost of fixing one stone is ₹ 2.50, what will be the expenditure of fixing stones in the courtyard ?

An alloy contains 15% Carbon, 25% Zinc and rest is Copper. In 60kg alloy, find the quantity of each metal.

Fill in the blanks –

(a) 6/21 = ?/7

(b) .01= 1/?

(c) Largest 7 digit number is …………. .

(d) Radius = Diameter/?

(e) In 75897 , place value of 8 is ………….. .

The denominator of a fraction is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to its denominator, the new number become 1/5. Find the original number.

Out of 40 students of a class, 60% passed in first division, 30% in second division and remaining in third division. Find out the number of students in each category ?

(a)A shopkeeper sells a box costing ₹ 900 giving 15% discount. Find out the sale price of the box?

(b)The HCF and LCM of two number is 18 and 252 respectively. If one number is 126 find out another number.

What is the LCM of two numbers if their HCF is 2 and the product is 112?

Write the Hindu-Arabic numerals for MDLC.

John had 2 1/2 Cake. His Friends ate 1 2/3 of the Cake. How much of the Cake is left?

The dimensions of a rectangular field are 36m and 24m. Find the cost of fencing of the field if cost of wire is ₹ 4.50 per metre.

Find the average of first 9 prime numbers.

Simplify: ( 1/5 ÷1/5 of 1/5 ) / ( 1/5 of 1/5 ÷ 1/5 )

A train covers 20 m in a second. Convert the speed of train in km/hr.

Form the greatest and smallest 4 digit numbers with digits 9, 3, 7 and 1.

Mayank bought a ball for ₹ 20. He sold it for ₹ 30 and again bought it back for ₹ 40. Again he sold it for ₹ 50. Did he gain or lose? By how much did he gain or loss?

In the above figure if :

∠AOC = x

∠COD= 2x

∠BOD = 3x

Find the Each angle in degree.

2/7 of [2+{2(11+(4-2))}]

What per cent is 200 gram of 4.5 kg ?

If the simple interest on ₹ 12,800 for a period of 2 years is ₹ 3,840, then find the rate of interest per annum.

If the circumference of a circular park is 88 m, then find the area of the park.

Arrange the following in ascending order:

3/7 , 4/5 , 7/9 ,1/2 and 3/5.

Mohan, a student of Class-V secured 315 marks out of 450. Find marks in percentage.

In the given figure, what is the value of angles BAC (xº) and CAD (yº)?

Sachin saved ₹ 400 each in the first and second months, ₹ 800 and ₹ 600 in the third and fourth months respectively. Find average monthly saving over the four months.

If average (mean) of the following marks obtained by students of class-V is 35.

26 45 37 43 49 20 x 22 and 30

Find unknown mark i.e., x.

Find : 1 – 2 + 3 – 4 + 5 – 6 + …… + 19 – 20.

A rectangle and a square have the same perimeter 100m. Find the side of the square. If the rectangle has a breadth 2m less than that of the square. Find breadth, length and area of the rectangle.

Rakesh completes one round of a running track in 8 minutes and Saroj completes it in 6 minutes. How long will it take for both to arrive again at their starting point together, if they start running at the same time and maintain their speed?

Akshita’s dad needed a loan of ₹ 20,000 to buy a new car. Mr. Das, the Bank Manager agreed to give him the loan at 3% per annum. If the loan was to be paid back after 5 years. What total amount must he return to the bank?

Find the value of ‘x’ for following figure if AB || CD.

A Supermarket sells 19 Oranges for ₹ 114, 6 Apples for ₹ 48, 22 Pomegranates for ₹ 154 and 17 Mangoes for ₹ 153. Which one of the fruits is the cheapest?

A rectangular grassy lawn measuring 48 m by 35m is to be surrounded externally by a path, which is 2.5m wide. Find the cost of leveling the path at the rate ₹ 4.50 per sq.m.

One number exceeds another number by 36. If sum of both numbers is 48. Find the numbers.

Find the smallest number, having four different prime factors.

What sum of money will produce ₹ 143 interest in 3¼ years at 2½% simple interest?

A brick measures 20 cm by 10 cm by 7½ cm. How many bricks will be required for a wall 25 m long, 2 m high and ¾ m thick?