Maths

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V'II - ASETH ANANDRAM JAIPURIA SCHOOL, GRAZIABAn
~ J1 SESSION:2014-l5
CLASS VII
MATHEMATICS
REVISION WORKSHEET
COMPARING QUANTITIE~
l) 20% of700 is
a. 560 m b.70m
c. 210 m d. 140 m
2) If90% ofx is 315, then the value ofx is
a. 325 km b. 350 km
c. 405 km d. 340 km
3) The sum which will earn a simple interestofRs 126 in 2 years at 14% per annum is
a. Rs 394 b. Rs 395
• c. Rs 450 a. Rs 540
4) What percent ofRs 4500 is Rs 90oo?
a.200 b.1I2
c.2 d.50
5) The ratio 3:8 is equal to
a.3.75% b.37.5%
c.0375% d.267%
6) The interest on Rs 30000 for 3 years at the rate ofl5 % per annum is
a. Rs 4500 b. 9000
c. 18000 d. 13500
7) A bicycle is purchased fur Rs 1800 and is sold ata profit of12%. Its selling price is
a. Rs 1584 b. Rs 2016
c. Rs 1788 d. Rs 1812
8} IfRs 420 is divided between A and B inthe ratio 0[3:4,. then A's share is
a. Rs 180 b. Rs 240
c. Rs 270 d. Rs 210
9)Ritesh sells his scooter fur Rs 18,000 making a profit of20%. The cost price ofthe
scooterwas !
a. 12500 b.13000
c. 14600 d. 15000
10) Weight ofNikhil reduced from 66 kg to 60 kg. The % decrease in weight is
1
a.9 b.l0
11
1
c.9 - d.6
9

2. tIIE.xpressthe lOI""'in¥as pm:enI
(a) 1/6 tblll.025 (c)S:4 (dl215 (0)0.089 (f) OJ
12)E.xpress:
a. 10% as fiaclion in lowest rorm
b. 33i as a ratio in the lowest fonn
9
c. - as pm:enI
40
13)'" Ott ClOIIIIinztioa, 90%..(!hecandidata passed ond 55 failed. Howmany c:l!ftdidatcs
~ b-the examimtion1
14)" number it"'''-$from 45 to 135. CaIcula!e the Ina-eue pm:mL
IS)8y selling" """'" fur as1l2O,,, _ gal... 10%. t'lndtile CP of!he table.
"'" ~ booglTl IS booksond amcd a pmIt of4%.lf~ boot _ him as.,
-b.1I1s tile """""" pined bylhesbopI;copc(?
(1)8)' selima anarticle fur Rs 4so, MtnLiharan I<>oes Rs SO. At,.-b.1Ipr;a,musI be sdI !be
.meL: 10 pin 20 %7
III)AaIIIItI pun:ba-sod. house foc as SO, 59,700attd spent Rs 40, .lOOm ilS rcpom. At ,,-b.1I
pr;a,should sbe sell tbe house 10 makea profitof5%?
It)as6400 ,...., lent III Fcrozattd Rashmi .. 15%"........... fur 3tattd S years
~wIy. What Isthe dill'""""",in tbe ~ paid by!hem1
28,_ boqbt200kg"r~ at!be Q/e ofRs lS "..."*He fOund that SO kgofllicm
were ofsmall sizond soId!hem .. the Q/e ofRs 20"..."*Hesold the ..........ingapples
at as l4"...tj!. Find !be",-.rail pmItOl: loss"...cemof.AbduL
CONGRUF.NCE OFTRIANCLES
I) Illthegiven Iigure.CEand BI)areallitudesof AABC Alsn ~BI).
,
BY" ~c
In ABCEand ASOC.
lal = ==:--.:=
(sina! enattd 80_ olIitudesj
(bj (JiveD)

3. ~~ ...
~
,
,.
( e) (""""""" hypo!onuse)
(diBy ~y~
ACED "A
(e) BE = '-;(C.::-:P::-:.c.:-:1,7,­
2) In AABC" Al'QR, thc:n
A
B
~
50n M 2c:ra C
(a' l'Q~ em
(bIQR~ em
(e) PR- an
(d) LP~_.. ,LQ- __.LR= ____
lJ In""'gi>~fi-. TMl.QP. TN l.QR and TM -TN.
In ~ NQ and ATNQ
(a) TM = (Reason: _~_
J
(b) LTMQ= (Ilcason:_ _ _ _ _ _ _ _ _ _,
(e) • (common h)'p<temlse)
8y Congmeney condition,
ATNQ" _ __
4} FquaI $idaare shown by similarmaJkinp. flU in1Ile b!anb using "'" given figure.
z4~.
'''''
(al AxyZ" A _____
(b) L1.= L __- ( _ )
•

4. ;,;
;
(e) ,&;Q- _ _ {_I
(d) ,&;X=L =40'
(e)Qk- em
!!) In !he 19.... figure, AABC innisosceles trian@lewillt AD - AC. An and AC ....
jlI'OC!ucm to 0 and E J<Sp«Uw:ly such Ihat 80 =CEo SOOw Ihat DH "'CD.
6) Fill in !heI>b.'Iks:
a. T_figwa~~iflheylta1relhe _ _
b, TWOSQU3RS ...."'" _ are oo~
c. T.."dtcloshaWtg_ ""'~
d. Two reeIangIes are c:onpuem, iflhey 1ta1re......, and
c. T_~..., said 10 be 00IIgnImt ifthey"'" of - - - '
7) IfI'QR and XYZ .... ~ under!he oo"<sp."d...'" QPR# XVZ,1heo
LR- QR~ ___
,&;p=
QP~:.......---
'&;Q--- RP •.___
8) In AABC and II OBC "'" on lite same base1lC. An • DC and AC '"DB. writ. lite
~~betw."nlltel"'''~
9) Slate lIte_palrsof"'lual puts ... AAIlCand.1EODgi_in fil!""'6.ls 4A1lC".1
EOO'1Why'1
'Olin Iiglm: 1. DE- "LEG =Fl and '(E=L I.lsA DEI'" IIilia? If).... SIOte!he
~critaIon.
E
D~C
~
E
II
FIt- Ii. ~
E
I
Fig• .,•.

5. = ..
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Simpf~ Equations
I) A lIWllbcraddcdto """ ibinl ofitsclfequals 12. What is tile mnnbc<?
2) Thecost ofasand....ichis Rs20_lhanaLulfi. The wWrostofasand",ic!und _kulfis is
a.so.Fmd tile price ofa sandwicll and a kulfi.
3) Amri<a is. >""""ekIer to herbrochc;r _ Iftile nttiooftbeit _ is 7 : 3, Uod tbcir_
...
4) Soh-c
(
(i) -y+2=5y-7
2
(u) Ih-II--2(1-4x)
S) The perimeta'ofatriangle ",bosc sides are in ronsccutivenumbets i.l2m. findtbe latgdtof
""'"side.
6) AoumhcrisdMdc:d inIo_ pans such tbat<me iolU_ Ihan tlleoiber. Iftho two p:u1s_in
tho mio S : 3. Fmd tho _ and tho two pans.
1) StmloflWOoo........iw:mulliplcsof7is 161. findthe$emultipk:s.
HI A man.....'..Ilcd two fifths oflUsjoumc:yby!Jain, _ tILird by bus. _tounh bycar and the
......ming ) Ian on foot. What istho Ia!gdt ofhis wW journey?
9) ff7 pc:ncib would cost you Rs6 _!han S pencils, then find the cost of 10 pet1ci1s.
10)Radba got Rs 17.480as herm<lIlIhJy salaryand "'Mime. H...salary e........the overtime by a.
10000. W,,", is her _Iy salary?
r"'s!igl ('_tin
I) Otawa 1iDe: segment DE =5 em. taLe "!"lint Mbelow DE. Construct a line pora1kt to DE
passi",IItrou;h M. Nome it XV. Fmd the dis!:mce bet"..... DE and XV.
2) Construct Al'QR in which PQ ~ 7em. PR - 4.5 an. QR • 6.5 em. M<=m: rite aogl<s.

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.0(IIuv JtI'Il!>"'Il-N "..
( = lId "P!"""""""- ~ =bd _od.{q;np fl>!'I.'l U! l:l0dVp>(.iutr JIIlIp"~ (t

7. ------------_..._...
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Exponents & Powers
1) Write the fullowing using exponential notation:
(a) square of5 (b) frfth power oftwo (e) cube of9 (d) seventh power ofll
2) Express the following in the exponential form:
(a) 27 (b) 125 (e) 625 (d) 512 (e) 3125 (f)729
( ) 1296 (b) 10000 (i) -32 (j) ~ (k) -2187
g 243 J 2401 128
3) What power of4 is 256?
4) Ifa = 3 and b = 2, then find the value ofthe following:
b
(a) a - b' (b) (ba)b (e) (ab)" + b'
5) SimplifY and express in the exponential furm:
(a) S2x42 (b) 7' x3' (el 85
x35
Cd) 27 x97
6) Evaluate:
(a)( -1)3 X32x(~ l (b) [GJ-(±J]X23
(el (-52), x(~lr
2 4
(d) 2x3'x2'
9x42 (e)~-1-3-1f' (f) [G)'JxGrxr2x~
37
(2')'x7' xa
(g) [Tl+GJT (b) 8' x7 (I) 92 x a'
7) SimpiiiY and express the answer in exponential form:
3'
(a) - x 34 (b) (21)2x 56} x 36 (el 82
+ 23
3'
2' 3' 4 (e) 2' as
(d) -x-x- 3 x- (I) (3° + 2°) 5°
3 9 32 4 a'
(5')'
(b) 75x 77
(g) (60 +70) + (sO _7°)
(i) (5')'
5' x21
(j) (7561)'·
(7561)"

8. ,
.;
Perimeter& Area
1) Find the radius ofthe circle whose circumference is 616cm_
2) Find the area ofa rectangular park having length 13m and breadth 8m in hectares.
3) In fl.ABC. AC=12crn, BC=10cmand AD=8cm Find the area of fl.ABC and the
length BE.
J
D
E
B c
4) The area ofa parallelogram is 2.75sq em and one of its sides is 259m. Find the length
ofits corresponding altitude.
5) The area ofa parallelogram is 392 sq em If its altitude is twice the corresponding
base, determine the length ofthe base aud the altitude. .
;,J' The ratio ofthe radii oftwo circles is 3:4. fmd the ratio oftheir circumference.
7) A steel wire when hent in the furm ora square encloses an area of 484 sq em. The
same wire is reben! in the furm ofa circle. Find the area ofthe circle so formed.
8) A garden, 80m long and 65m wide, is surrounded· by a 5mpatholltside it. Find the
area ofthe oath.
9) A path 7m wide runs along inside a square park ofside 90m Find the cost of
constructing path at the rate ofRs lSU per SCI Ill.
Algebraic Expressions
1) SimplifY the fullowing expression:
lq- [i"p- rq {qr- lj?q + q2r) + (q3_Ji)}) +p3 -q'-?
and find the value whenp =1, q = -I and r = 2
2) What must be added to 4xy +6X"Y - 9x;f to get 6xy - 4x' ?
3) What must be subtracted from 4p3q_12p2q+ 6qp-4q3 to get 9Jlq+p2q- Sq'?