Mock test for sainik school entrance
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15 December 2015- Sainik- RMS- Final Revision Test Chapter based tests
This is a countdown Test Series. There will be 6 questions in each CHAPTER
The time allowed for this90 chapters is 90 minutes, Use formula- conversion as required.
http://www.homeschoolmath.net/worksheets/speed_time_distance.php
Question Based On Average
1. Sam scored 98, 25, 105, 62 and 65 run in 5 matches. What was the average score ?
2. The temperature of a city during a week was 35° C, 36°C, 34°C, 38°C, 40°C, 39°C and 44°C. What was the average daily temperature of the town for the week?
3. Jack earns $ 100 on the first day, $ 60 on the second day, $ 150 on the third day, $ 80 on the fourth day and $ 90 on the fifth day. What was his average earnings?
4. Rex scored the following marks in 6 subjects:
English - 88
Hindi - 64
Sanskrit - 89
Maths - 96
Science - 87
Social Studies - 80
Find his average score in 6 subjects.
5. A train runs for 3 hours at a speed of 55 km per hour and for the next 2 hours at a speed of 65 km per hour. Find the average speed of the train for the 5 hours journey.
6. Which is more, the average of the 4 even natural numbers from 6 to 13 or the average on the 4 odd natural numbers from 6 to 13?
PROFIT AND LOSS
7. A bed sheet was sold for Rs.483 thereby gaining 15%. Find the C.P. of the bed sheet.
8. Aaron bought an almirah for Rs.1520 and sold it at a profit of 12 1/2 %. Find the selling price of the almirah.
9. By selling a camera for Rs 2400, Ron loses 4%. At what price must he sell to gain 12 %.
10. By selling a stool for Rs.240 a carpenter loses 20%. How much per cent would he gain or lose by selling it for Rs.360?
11. The selling price of 12 eggs is equal to the cost price of 15 eggs. Find the gain per cent.
12. The cost price of 10 bananas is equal to the S.P. of 12 bananas. Find the loss per cent.
Unitary Method
13 farmers harvest the crops in the field in 20 hours. How many workers will be required to do the same work in 15 hours?
14. men or 3 women can earn $192 in a day. Find how much 5 men and 7 women will earn in a day?
15. The weight of 56 books is 8 kg. What is the weight of 152 such books? How many such books weigh 5 kg?
16. John types 450 words in half an hour. How words would he type in 7 minutes?
17. A worker is paid Rs.750 for 6 days’ work. If he works for 23 days, how much will he get?
18. A water tank can be filled in 7 hours by 5 equal sized pumps working together. How much time will 7 pumps take to fill it up?
Tme and Distance
19, Grace ran with a constant speed of 13 km/h. How far can she travel in 2 hr & 45 mins?
20. Mike rides his bike with a constant speed of 9 km/h. How far can he travel in 3 hours 15 minutes?
21. Airplane flies with a constant speed of 720 km/h. How far can it travel in 4 hr 22 mins?
22. A train travels 344 km in 3 hours 53 minutes. What is its average speed in km per hour?
23, David roller skates for 10 minutes with a constant speed of 24 km/h and then for another 1 hour 10 minutes with a constant speed of 12 km/h. What distance did he go?
24. Bob roller skates for 3 hours 35 minutes with a constant speed of 12 mph and then for another 25 minutes with a constant speed of 12 mph. What distance did he go?
Simple Interest
25. What sum would yield an interest of Rs.36 in 3 years at 3% p.a.?
26. At what rate per cent per annum will Rs.250 amount to Rs.330 in 4 years?
27. At what rate per cent per annum will Rs.400 yield an interest of Rs.78 in 11/2 years ?
28. In what time will Rs.400 amount to Rs.512 if the simple interest is the calculated at 14% p.a.?
29. A sum amount to Rs.2400 at 15% simple interest per annum after 4 years. Find the sum.
30. Dev borrowed Rs.2000 from Sam at 8% per annum. After 6 year he cleared the amount by giving Rs.2600 cash and a watch. Find the cost of the watch.
ANSWERS: 15 DEC 2015 MATHS REVISION TEST
1. 71 runs.
2. 38°C
3. $ 96
4. 84 marks
5. 59 km
6. Average of 4 odd natural numbers from 6 to 13 is more
7. Rs.420
8.Rs.1766.25
9.Rs.2800
10. Profit 10%
11. Profit 25%
12. Loss 16 2/3%
Unitary Method
13. 16 farmers
14 Rs.928
15. 21 5/7 kg, 35 books
16. 105 words
17.Rs.2875
18. 5 hours
Time and Distance
19, She can travel 35.8 kilometers in 2 hours 45 minutes.
20, He can travel 29.3 kilometers in 3 hours 15 minutes.
21, It can travel 3144 kilometers in 4 hours 22 minutes
22. Its average speed is 88.6 kilometers per hour.
23. He traveled a distance of 18 km.
24, He traveled a distance of 48 miles.
25. Rs.400
26. 8%
27.13%
28. 2 years
29. Rs1500
30
call 094437 20076
15 December 2015- Sainik- RMS- Final Revision Test Chapter based tests
This is a countdown Test Series. There will be 6 questions in each CHAPTER
The time allowed for this90 chapters is 90 minutes, Use formula- conversion as required.
http://www.homeschoolmath.net/worksheets/speed_time_distance.php
Question Based On Average
1. Sam scored 98, 25, 105, 62 and 65 run in 5 matches. What was the average score ?
2. The temperature of a city during a week was 35° C, 36°C, 34°C, 38°C, 40°C, 39°C and 44°C. What was the average daily temperature of the town for the week?
3. Jack earns $ 100 on the first day, $ 60 on the second day, $ 150 on the third day, $ 80 on the fourth day and $ 90 on the fifth day. What was his average earnings?
4. Rex scored the following marks in 6 subjects:
English - 88
Hindi - 64
Sanskrit - 89
Maths - 96
Science - 87
Social Studies - 80
Find his average score in 6 subjects.
5. A train runs for 3 hours at a speed of 55 km per hour and for the next 2 hours at a speed of 65 km per hour. Find the average speed of the train for the 5 hours journey.
6. Which is more, the average of the 4 even natural numbers from 6 to 13 or the average on the 4 odd natural numbers from 6 to 13?
PROFIT AND LOSS
7. A bed sheet was sold for Rs.483 thereby gaining 15%. Find the C.P. of the bed sheet.
8. Aaron bought an almirah for Rs.1520 and sold it at a profit of 12 1/2 %. Find the selling price of the almirah.
9. By selling a camera for Rs 2400, Ron loses 4%. At what price must he sell to gain 12 %.
10. By selling a stool for Rs.240 a carpenter loses 20%. How much per cent would he gain or lose by selling it for Rs.360?
11. The selling price of 12 eggs is equal to the cost price of 15 eggs. Find the gain per cent.
12. The cost price of 10 bananas is equal to the S.P. of 12 bananas. Find the loss per cent.
Unitary Method
13 farmers harvest the crops in the field in 20 hours. How many workers will be required to do the same work in 15 hours?
14. men or 3 women can earn $192 in a day. Find how much 5 men and 7 women will earn in a day?
15. The weight of 56 books is 8 kg. What is the weight of 152 such books? How many such books weigh 5 kg?
16. John types 450 words in half an hour. How words would he type in 7 minutes?
17. A worker is paid Rs.750 for 6 days’ work. If he works for 23 days, how much will he get?
18. A water tank can be filled in 7 hours by 5 equal sized pumps working together. How much time will 7 pumps take to fill it up?
Tme and Distance
19, Grace ran with a constant speed of 13 km/h. How far can she travel in 2 hr & 45 mins?
20. Mike rides his bike with a constant speed of 9 km/h. How far can he travel in 3 hours 15 minutes?
21. Airplane flies with a constant speed of 720 km/h. How far can it travel in 4 hr 22 mins?
22. A train travels 344 km in 3 hours 53 minutes. What is its average speed in km per hour?
23, David roller skates for 10 minutes with a constant speed of 24 km/h and then for another 1 hour 10 minutes with a constant speed of 12 km/h. What distance did he go?
24. Bob roller skates for 3 hours 35 minutes with a constant speed of 12 mph and then for another 25 minutes with a constant speed of 12 mph. What distance did he go?
Simple Interest
25. What sum would yield an interest of Rs.36 in 3 years at 3% p.a.?
26. At what rate per cent per annum will Rs.250 amount to Rs.330 in 4 years?
27. At what rate per cent per annum will Rs.400 yield an interest of Rs.78 in 11/2 years ?
28. In what time will Rs.400 amount to Rs.512 if the simple interest is the calculated at 14% p.a.?
29. A sum amount to Rs.2400 at 15% simple interest per annum after 4 years. Find the sum.
30. Dev borrowed Rs.2000 from Sam at 8% per annum. After 6 year he cleared the amount by giving Rs.2600 cash and a watch. Find the cost of the watch.
ANSWERS: 15 DEC 2015 MATHS REVISION TEST
1. 71 runs.
2. 38°C
3. $ 96
4. 84 marks
5. 59 km
6. Average of 4 odd natural numbers from 6 to 13 is more
7. Rs.420
8.Rs.1766.25
9.Rs.2800
10. Profit 10%
11. Profit 25%
12. Loss 16 2/3%
Unitary Method
13. 16 farmers
14 Rs.928
15. 21 5/7 kg, 35 books
16. 105 words
17.Rs.2875
18. 5 hours
Time and Distance
19, She can travel 35.8 kilometers in 2 hours 45 minutes.
20, He can travel 29.3 kilometers in 3 hours 15 minutes.
21, It can travel 3144 kilometers in 4 hours 22 minutes
22. Its average speed is 88.6 kilometers per hour.
23. He traveled a distance of 18 km.
24, He traveled a distance of 48 miles.
25. Rs.400
26. 8%
27.13%
28. 2 years
29. Rs1500
30
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