Class 7 Sample Paper Maths

SAMPLE PAPER
Class: VII
(Mathematics)
le; : 2½ ?kaVs vf/kdre vad % 50
Time : 2½ Hours Max. Marks : 50
lkekU; funsZ”k %
1. lHkh Á”u vfuok;Z gSaA
2. d`i;k Á”u&i= dk mÙkj fy[kuk “kq# djus ls igys] Á”u dk Øekad vo”; fy[ksaA
3. bl Á”u i= esa dqy 22 Á”u gSa] tksfd pkj [k.Mksa v] c] l vkSj n esa foHkkftr gSA
4. [k.M v esa dqy 5 Á”u gSa] tks lHkh 1 vad ds gSA
5. [k.M c esa dqy 9 Á”u gSa] tks lHkh 2 vad ds gSA
6. [k.M l esa dqy 5 Á”u gSa] tks lHkh 3 vad ds gSA
7. [k.M n esa dqy 3 Á”u gSa] tks lHkh 4 vad ds gSA
8. iz”u&i= esa dksbZ lexz fodYi ugha gSA rFkkfi 3 vadksa okys 1 iz”u esa vkSj 4 vadks
okys 1 iz”u esa vkarfjd fodYi iznku fd, x, gSaA ,sls iz”uksa esa vkidks fn, x,
fodYiksa esa ls dsoy ,d iz”u gy djuk gSA
9. dSydqysVj dk Á;ksx oÆtr gSaA
General Instructions:
1. All the questions are compulsory.
2. Please write down the Serial Number of the question before attempting
it.
3. The question paper consists of 22 questions and it is divided into four
sections A, B, C and D.
4. Section A comprises of 5 questions carrying 1 mark each.
5. Section B comprises of 9 questions carrying 2 marks each.
6. Section C comprises of 5 questions carrying 3 marks each.
7. Section D comprises of 3 questions carrying 4 marks each.
8. There is no overall choice. However, an internal choice has been
provided in 1 question of 3 marks and 1 question of 4 marks each. You
have to attempt only one of the alternatives in all such questions.
9. Use of calculator is not permitted.

[k.M v (Section A)
1. 240 xzke dk 3 fdyksxzke ls vuqikr Kkr dhft,A ①
Find the ratio of 240 g to 3 Kg.

2. ,d vk;r dk ifjeki Kkr dhft, ftldh yackbZ vkSj pkSM+kbZ Øe”k% 5 lseh
vkSj 4 lseh gSaA ①
Find the perimeter of a rectangle whose length and breadth is 5 cm
and 4 cm respectively.
3. vkSj mlds O;qRØe dk xq.kuQy Kkr dhft,A ①
Find the product of and it’s reciprocal.
4. 512 dks 8 dh ?kkr ds #i esa O;Dr dhft,A ①
Express 512 as a power of 8.
5. lR; ;k vlR; fyf[k,% ①
“ O;tad 7 – 3x esa x dk xq.kkad 3 gSA ”
Write True or False:
“The coefficient of x in the expression 7 – 3x is 3.”

[k.M c (Section B)
6. fjDr LFkku Hkfj,% ②
(i) nks js[kk[kaM lokZaxle gksrh gS ;fn ______________________.
(ii) nks dks.k lokZaxle gksrs gS ;fn _________________________.
Fill in the blanks:
(i) Two line segments are congruent if ______________________.
(ii) Two angles are congruent if ____________________________.
7. v/kZo`Ÿk dk ifjeki Kkr dhft,] ;fn O;kl 14 lseh gSaA¼ ∏ = yhft,½ ②
Find the perimeter of a semicircle, if diameter is 14 cm. (Take ∏ = )
8. gy dhft,% ②
Solve:
(i) 0.32 + 2.88
(ii) +1
9. feyku dhft, % ②
Match the following:
iafDr & I iafDr & II
Column – I Column - II
(a) 3 X 33
2
(i) 36

(b) (63)4 (ii) 67
(iii) 35
(iv) 612

10. 60 cPpksa dh ,d d{kk esa 24 yM+fd;ka gS vkSj ckdh yM+ds gSaA lHkh yM+dksa
dks feBkbZ ilan gSa rFkk yM+fd;ksa dks uedhu [kkuk ilan gSaA feBkbZ ilan djus
okys cPpksa dk izfr”kr Kkr dkft,A ②
In a class of 60 students, there are 24 girls and rest are boys. All the
boys like sweets while girls like salty food. Find the percentage of
students who like sweets.
11. ;g ∆XYZ vkSj ∆PQR esa XY=QR vkSj YZ=RP gSAa ;fn SAS lokZaxlerk
izfrca/k ls ∆XYZ ≅∆QRP LFkkfir djuk gks]a rks vU; fdl vkSj lwpuk dh
vko”;drk gSa\ ②
In ∆XYZ and ∆PQR, XY=QR and YZ=RP. If it is to be established by SAS
congruence rule that ∆XYZ ≅∆QRP, then what addition information is
needed?
12. fuEufyf[kr lekarj prqHkqZt dk {ks=Qy Kkr dhft,% ②
Find the area of the following parallelogram:

13. ②
(i) 32700 dks ekud #i esa O;Dr dhft,A
Express 32700 in standard form.
(ii) 835704 dks izlkfjr #i esa fyf[k,A
Write 835704 in expanded form.

14. fuEu inksa ds ;qXeksa esa ls dkSu&lk ;qXe leku in dk gS% ②
Identify the pair of like terms in the following pairs of terms:
(a) – 3ab, 4ba
(b) 7x , 7y
(c) 8x2y, – 2xy2
(d) 30yz, – 29yz

[k.M l (Section C)
15. ,d f=Hkqt ART dh jpuk dhft, rkfd AR=5 lseh] RT=4 lseh vkSj TA=3
lseh gksaA ③
Construct a triangle ART such that AR=5 cm, RT = 4 cm and TA=3 cm.

16. >, < ;k = dk iz;ksx djds fjDr LFkku Hkfj,% ③
Fill in the blanks using >, < or =:
(i)

(ii) 0.03 0.3

(iii) 3

17. la[;k iSVuksZa dh fuEu rkfydk dks iwjk djus ds fy, fn, gq, chth;
O;atdksa dk iz;ksx djds fjDr LFkku Hkfj,% ③
Using given algebraic expressions, fill in the blanks to complete the
following table of number patterns:
chth; O;atd chth; O;atd dk eku (Value of Algebraic
Algebraic Expression)
Expressions n=0 n=1 n=2
n +1
2
1 2 5
n –1
2
_____ _____ _____

vFkok OR
ljy dhft,%
Simplify :
(i) 7x – 8y + 9z + 3x + 7y – 8z
(ii) (36x2 – 9m2+n2) – (9x2+8m2+n2)

18. ,d vk;rkdkj ikdZ 100 eh yack vkSj 70 eh pkSM+k gSaA blds vanj pkjks rjQ
6 eh pkSM+k jkLrk tkrk gSaA jkLrs dk {ks=Qy Kkr dhft,A ③
A rectangular park is 100 m long and 70 m wide. A path of 6 m wide
runs along inside it. Find the area of the path.

19. nh xbZ vkd`fr esa] nks f=Hkqtksa ds dqN Hkkxksa dk eki fn;k x;k gSaA tk¡p
dhft, fd nksuksa f=Hkqt lokZaxle gSa ;k ugha\dkj.k Hkh nhft,A ③
In the given figures, the measurement of some parts of two triangles
are given. Examine whether these two triangles are congruent or not?
Also, give reason.

[k.M n (Section D)
20. ∆MNP dh jpuk dhft,] ftldk ∠ N ledks.k gS rFkk fn;k gS fd
MN = 6 lseh vkSj NP = 8 lseh gksaA ④
Construct ∆MNP, right angled at N and given that MN = 6 cm and
NP = 8 cm.
21. vfer dks ,d Vsyhfotu ₹ 9000 esa cspus ij 10 izfr”kr dh gkfu gksrh gSaA
mlus ;g Vsyhfotu fdrus esa [kjhnk Fkk\ ④
Amit sells a Television for ₹ 9000 at a loss of 10%. What was the price
at which he bought it?
vFkok OR
js”kek us jk[kh ls ₹ 8000 dk ,d _.k 5 izfr”kr okÆ’kd nj ls lk/kkj.k C;kt
ij fy;kA 2 o’kZ ds i”pkr~ jk[kh dks fdrus iSls okil feysxas\
Reshma takes a loan of ₹ 8000 at 5% per year as rate of simple interest
from Rakhi. How much money will Rakhi get back after 2 years?
22. jkew us 5 fdyksxzke 300 xzke lsc vkSj 3 fdyksxzke 250 xzke vke [kjhnsaA
lquhrk us 4 fdyksxzke 800 xzke larjs vkSj 4 fdyksxzke 150 xzke dsys [kjhnsaA
fdlus vf/kd Qy [kjhns vkSj fdrus\ ④
Ramu bought 5 Kg 300 g apples and 3 Kg 250 g mangoes. Sunita
bought 4 Kg 800 g oranges and 4 Kg 150 g bananas. Who bought more
fruits and how much?