Dr. Virendra Swarup Education Centre,Kidwai Nagar
Class
- Vll
Practice
worksheet
1. HeightsofAnshul and Dhruvare 1.04m andTScm respectively. Divide35sweets
Oate- 26.L2.2OL4
a
mong them in the ratio of their heights.
2.An alloy contains copper and silver in the ratio 3:17 by wei8ht. lf the weight of copper in the alloy is 4.2 gm,how much does this alloy
weigh
?
3.lfa,:b=3'.4and.b:c=B:9,thenfinda:c.Alsoexpressa:b:cinthesimplestform.
4. Find the mean proportional between 1.5 and 13.5
for 18 days. They are joined by 6 more children. How long will the provisions last ?
5. 30 children at a camp have provisions
6.Amanbuildsachairin4days,working6hoursaday.Howmanyhoursshouldheworkinadayifhewantstobuilditin3days?
7, The average of 9 numbers is 42. lf the 9th number is 46, find the average of
the remaining 8 numbers.
8. The average height of 24 students out of a class of 40 students is 158 cm and that of the remaining students is 153 cm. Find the
average hei8ht of students of the whole class.
9. The average weight of 9 children is 26,5 kg, When a
tenth child
tenth child joins them, the avera8e increases to 27 kg. What
is
the wei8ht of the
?
first 210 km of his journey at 60 km/hr, next 198 km at 66 km/hr and the last 108 km at 72 km/hr. Findl
(i) total time taken to complete his journey,
10. A man covers
(ii) his average speed during the whole journey.
11. Out of 1800 students in a schodl ,
40% are girls and the rest are boys, lf25%oftheboysand45%ofthegirlsarevegetarians,then:
{i) how many students in all are vegetarians ?
(ii) what % of the total number of the students are vegetarians ?
12. On washing 40 m cloth, it shrunk by 0.5%. What is the new length of the cloth ?
13. ln an examination , at least 60% marks are required for getting first division Ayush secures 447 marks and misses the first division by
3 marks. Find the total marks of the examination.
14. By selling a chair for Rs. 522 , a shopkeeper makes a profit of 16%. What is its cost price ?
15, A purchased 150 quintals of rice at Rs. 400 a quintal. He spent Rs. 5000 on transportation. He sold the rice at Rs. 4.50/kg. What was
his profit or loss ? Also, calculate it as a %age.
16, By selling a watch for Rs.475, a man suffers a loss of 5%. At price should he sell the watch so as to gain 12% ?
17. A dealer allows 14% discount on the marked price of an article. Find the marked of the article if the selling price is Rs. 645.
the cost price and allows a discount of 15% on it. Find his profit %age.
19. A farmer borrowed some moneyat 10% p.a simple interest to purchaseacow. He borrowed the moneyon 22"dApril and returned
the mon ev on 4th J uly same year along with an interest of Rs. 120 Find the money borrowed.
18. A dealer marks his goods 40% above
20, The area of a rectangle is 6x2
21.
simplify: 5y
22. simplifyt l3a
-
-
xy
-y2
sq. units and its length is 3n +],, units . Find its breadth in terms of n and y.
- 3y - 3l5z - 2(x - 2y - 3z - 2x)j)
2b) + 3(2a - 5c) - 2(3b - c - +q)
lLx
-16x2 sx-21
24. ll v2 = u2 + zas, find s when v = 30,u - 20 and a = 10
r;
25.1f' T =2n l: iind I il-l=71,e=10 and n=22/7.
\Je
--' ,
z(i:.ll 3(r- r) (iii)
s
(ii)
a-a-l
t,r)
26. simptify: {i} - I
"';'" -*
23.simplify:
+x2-5 -!x(3x -
trl
', +', -(;+f)
27. The area of a rectangular plot is 340 m'? and its breadth is 17m. Find the cost of surrounding
28, The length of a rectangular board is double its
the plot with
a
fence at Rs. 5.70/m.
width. lf the width is 1.4m, find its area. Also, find the cost of painting the board
@
Rs.4.751m2.
29. Find the cost of flooring a room 6.5m by 5m with square tiles of side 25 cm the rate of Rs 4 70
30. A rectangle is 16m by 9m. Find a side of the square whose area equals the area of
of the rectangle exceed the perimeter of the square ?
/tile.
the rectangle. By how much does the perimeter

Answer key