Sunday, November 3, 2019

Free maths class VI entrance test revision test



Sainik / RMS Entrance exam class VI Maths revision

Unitary Methods Problems:
1. A truck needs 58 litres of diesel for running 870 km distance. How many km will it go in 70 liters?
2. Cost of 3 chairs and 5 tables is Rs.4440. If cost of one table is Rs.600, find the cost of one chair.
3. I went for shopping and took Rs. 4,500 with me. I purchased 30 m cloth at the rate of Rs.120 per m and 3 dozen notebooks at the rate of Rs.120 per dozen. I spent Rs. 40 on taxi fare. How much was left with me?
4. A grocer mixes 28 kg of tea costing Rs.150 per kg and 12 kg of tea costing Rs.180 per kg. Find the cos of mixer per kg.
5. The average of three numbers is 9. If the average of first two numbers is 12, find the third number.
6. Average score in 10 matches of a cricket player was 45.6 runs. If the average score in first six matches was 48 runs, find the average score in last four matches.
7. The average temperature from Monday to Thursday was 48 degrees. The average temp from Tuesday to Friday was 2 degree. The temperature of Monday was 42 degree. Find the temperature of Friday.
8. The average weight of 9 boys in a class is 42 kg. Another boy joined the class and the new average was found to be 42.5 kg.  Find the weight of the new boy
PERCENTAGE:
9. Find 20% of Rs.1500
10. Find 15% of Rs.200 + 10 % of Rs.400
11. Pranav had Rs.250. He spent Rs.50 on books. Find his percent expenditure
12. In a school there are 40% of girls. If the number of girls be 200, find the total number of students.
13. The population of a town has increased from 60,000 to 65,000. Find the increase per cent.
14. A shopkeeper marks an article for Rs.150. He gives 8% discount for cash payment.  How much a customer does pay while paying in cash?
15. Anil saves 30% of his salary. If he saves Rs.450 per month find his salary per month.


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Thursday, October 24, 2019

Sainik School and Military School Entrance Exam model papers Free for class VI


25 questions 4 marks each.  Maths  time is 1 hour and 30 mins
Directions: Where required write steps to find  the answer
Use formula . See if Converstion is required, if yes convert as required.
Write the units such as Rs., km/hr or m/s  in the answer
Write all the formula before you attempt the questions. This will help you to attempt the problems easily.
NUMERATION
1. Find the SUM and Difference between the greatest and smallest number that can be formed from 6,.4, 0, 1,8.
2. Write 755 in Roman numerals and  DCCLXXVII  in  Indo –arbic  
3. How much should be  subtracted from 8374092 to get 223478 ?
LCM & HCF
4. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
5. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
6. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
7. The G.C.D. of 1.08, 0.36 and 0.9 is:

Unitary Method
8. Find the cost of 1 ¾ Dozen apples is 2 apples cost Rs.20
9. If 7 men can do a job in 9 days how many men are required to do the same job in 3 days?
10. A man works 8 hours a day to earn Rs.888, if he works for 11 hours a day, how much will he earn in 3 days?.
 Simplification ( Use BODMAS where required)
11. 12 + 4 - 8 ÷ 2 × 3 = ?
12. 5/6 ÷ 1/3 + 3/4 – 5/4 = ?
13. 5.01 × 1.2 - 2.4 ÷ 2
14. 7 - [6 - {5 - (4 - 3)}] ÷ 2      
Average :
15. Sachin scored 65, 54, 96, 82 and 78 marks in 5 subjects. What was the average marks per subject?
16. The average height of a family of six members is 162 cm.If the heights of five family members are 154 cm, 156 cm , 160 cm , 159 cm and 158 cm,find the height of sixth family member?
17.  Henry earns Rs.5645 on the first day, Rs.2685 on the second day, Rs.7688 on the third day, Rs.6212 on the fourth day and Rs.? on the fifth day. If his average earnings for five days was  RS.4780?
Percentage
18.a) Find the value of 45% of 240kg?
    b) Express 9/5 as a percent?
19. A boy scored 85 marks out of 150. Find the percentage of the marks scored
Profit and Loss
20. Dia bought rice bag rupees 500 per bag. Due to spoilage, she had to sold them for rupees 450 per bag. Find the gain or loss%.
21. Mr Ravi bought a washing machine for rupees 15,000 and sold it for rupees 17,000. Find his profit or loss percent.
22. Manas sold 36 pens, at the cost price of 42 pens. What is his percentage of profit? 
23. A man bought a car for Rs. 75,000, got is repaired it for Rs. 25,000, he wants to sell it at 15% gain. What should be his selling price?
Time-Speed and Distance
24. a) Aarav ran 100 m in 15 seconds find his speed in kmph.
b) Convert 72 km ph into m/s
25. A train cross an electric pole in 12 seconds. If the speed of the train was 48 kmph, then the length of the train is___________m
Step 1. Given  Speed of train 48  km/h. Distance covered in 12 seconds is asked ?
Convert km into m/s.  and then  use the formula Distance= Speed x time
Answers to Questions asked on 25th October. 2019
1
86410 +10468 = 96878 and 75942
2
777 = DCCLXXVII

755 = 755 = DCCLV
3
8150614
4
Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)
     = H.C.F. of 48, 92 and 140 = 4.
5
L.C.M. of 2, 4, 6, 8, 10, 12 is 120.
So, the bells will toll together after every 120 seconds(2 minutes).
In 30 minutes, they will toll together
30
+ 1 = 16 times.
2
6
Greatest number of 4-digits is 9999.,    L.C.M. of 15, 25, 40 and 75 is 600.
On dividing 9999 by 600, the remainder is 399., Description: https://www.indiabix.com/_files/images/aptitude/1-sym-tfr.gif Required number (9999 - 399) = 9600.
7
0.18
8
2 apples rs. 20, one apple is Rs. 10, 1 ¾ = 12+9 = 21 x 10 = Rs.210
9
One man can do the job in 7 x 9 = 63 days,  to do the job in 3 days  men required 63/3= 21
10
8 hours rs. 888. One hour Rs.111 x11x 3 = 111x 33 = Rs3663
11
4
12
2
13
4.812
14
0
15
75
16
185 cm
17
Rs.1660
18
A 108   and
b)180%
19
56.66%
20
Loss% = Loss/C.P X 100 = 50/150 X 100 = 33.33%
21
Profit % = Profit/C.P X 100 = 2,000/15,000 X 100 = 13.33%
22
16 2/3 %`
23
Rs.1,15,000
24
100/15 x 3600 = 24 kmph
24
b) 72x 1000/ 3600 = 20 m/s
25
48 x 1000= 48000/ 3600  * 12= 160 m