Rajasthan Board Class 8th Model Question Paper 2025 Maths

RAJASTHAN BOARD

MODEL
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2025

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jktLFkku jkT; 'kSf{kd vuqla/kku ,oa izf'k{k.k ifj"kn~] mn;iqj
( �ारं िभक िशक्षपूणर्ता �माण प� परीक्2025 )
1- fo"k; &xf.kr d{kk&8
1 fo"k;oLrq ds vk/kkj ij vaad Hkkj
Ø- vf/kxe {ks=@ ikB Øekad vad Hkkj iz'uksa ds izdkj ;ksx
la- dkS'ky@n{krk oLrq- vfry?kq y?kq- fuca- iz'u
1 la[;k@i)fr 1 , 5, 6 vkSj 10 16 4 2 2 & 8
2 jkf”k;ksa dh rqyuk 7 vkSj 11 11 1 1 2 & 4
3 cht xf.kr 2 , 8 vkSj 12 20 2 1 2 1 6
4 T;kfefr 3 9 1 & & 1 2
5 {ks=fefr 9 8 & & 2 & 2
6 vkadMks dk izca/ku 4 vkSj 13 16 & & 2 1 3
;ksx 1 ls 13 rd 80 8 4 10 3 25

2 mís';ksa ds vuqlkj vad Hkkj
Ø-la- mís'; iz'uksa dh la[;k vad Hkkj izfr'kr
1 [email protected] 7 7 8.75
2 le> 5 12 15-00
3 vuqiz;ksx 5 20 25
4 fo'ys"k.k 3 17 21.25
5 ewY;kadu 3 12 15
6 l`tu @dkS'ky 2 12 15
;ksx 25 80 100

3 iz”uksa ds izdkjokj vad Hkkj
Ø-la- iz'u dk izdkj iz'uksa dh la[;k vad izfr iz'u ;ksxvad izfr'kr laHkkfor le;
¼feuV½
1 oLrqfu"B 8 1 8 10 12
2 vfry?kqjkRed 4 2 8 10 13
3 y?kqjkRed 10 4 40 50 70
4 fuca/kkRed 3 8 24 30 45
5 ijh{kk ds vU; dk;Z & & & & 10
;ksx 25 & 80 100 150

jktLFkku jkT; 'kSf{kd vuqla/kku ,oa izf'k{k.k ifj"kn~] mn;iqj
izkjfEHkd f”k{kk iw.kZrk izek.k i= ijh{kk 2025
ELEMENTARY EDUCATION COMPLETION CERTIFICATE EXAM 2025
d{kk¼CLASS½ - 8
fo"k; & xf.kr
Subject- Mathematics
uewuk iz'u i=
Sample Question Paper
vof/k & 2%30 ?k.Vs iw.kkZad & 80
Duration 2:30 hours Max.Marks & 80
&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
oLrqfu’B iz”u ¼1&8½
Objective Type Question (1-8)
iz'u 1 ifjes; la[;kvksa ds fy, ;ksT; rRled gS& 1
(v) 1 (c) 0
(l) -1 (n) 3 [ ]

The Additive inverse of a rational number is-
(A) 1 (B) 0
(C) -1 (D) 3 [ ]

iz'u 2 jSf[kd lehdj.k ds gy gksrs gS&
a 1
(v) dsoy ,d (c) vusd
(l) dksbZ gy ugha (n) Kkr ugha dj ldrs [ ]

The solution of the linear equation are-
(A) Only one (B) Many
(C) No solution (D) Can't find [ ]

iz'u 3 fuEu esa ls dkSulk fodYi lR; gS& 1
(v) lHkh vk;r oxZ gksrs gS (c) lHkh oxZ lekUrj prqHkqZt ugha gksrs gS
(l) lHkh oxZ leyEc prqHkqZt gksrs gS (n) lHkh irax le prqHkqZt gksrs gS [ ]

Which of the following option is correct-

(A) All rectangles are square (B) All squares are not parallelogram
(C) All squares are trapezium (D) All kites are rhombus [ ]

1

iz'u 4 fuEu esa ls dkSulh la[;k iw.kZ oxZ la[;k gS& 1
(v) 1057 (c) 7928
(l) 2453 (n) 1681 [ ]

Which of the following number is a perfect square number-
(A) 1057 (B) 7928
(C) 2453 (D) 1681 [ ]

iz'u 5 fuEu esa ls lcls NksVh gkMhZ jkekuqtu la[;k gS& 1
(v) 4104 (c) 13832
(l) 1729 (n) bues ls dksbZ ugha [ ]

Which of the following is the smallest hardy ramanujan number-
(A) 4104 (B) 13832
(C) 1729 (D) None of the above [ ]

iz'u 6 5 ehVj dk 10 fdyksehVj ls vuqikr gS& 1
(v) 5 % 10 (c) 1 % 2000
(l) 5 %100 (n) 1 % 2 [ ]

The ratio of 5 meter to 10 kilometer is-
(A) 5 % 10 (B) 1 % 2000
(C) 5 % 100 (D) 1 % 2 [ ]

iz'u 7 ¼-4p½ vkSj ¼7p½ dk xq.kuQy gS& 1
2
(v) 28p (c) -28p
2
(l) -28p (n) -11p [ ]

The product of ¼-4p½ and ¼7p½ is&
2
(A) 28p (B) -28p
(C) -28p2 (D) -11p [ ]

iz'u 8 ¼-4½-2 dk eku gS& 1

1 1
(v) − (c) −
16 8
(l) 16 (n) [ ]

2

The value of ¼-4½-2 is&
1 1
(A) − (B) −
16 8
(C) 16 (D) [ ]

vfry?kqjkRed iz”u ¼9&12½
Very Short Answer type Question (9-12)

iz”u% 9 − x dk eku Kkr dhft,A 2
4
Find the value of −
5
x
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iz”u% 10 lehdj.k 4𝑥 + 3 = 6 + 2𝑥 dks gy dhft,A 2
Solve the equation 4𝑥 + 3 = 6 + 2𝑥
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iz”u% 11 ekuoh ,d ?kukHk cukrh gS ftldh Hkqtk,¡¡ 5cm] 2cm vkSj 5cm gSA ,d ?ku
cukus ds fy, ,sls fdrus ?kukHkksa dh vko';drk gksxhA 2
Manvi makes a cuboid whose sides are 5cm, 2cm and 5cm. How many such type of
cuboids are needed to make a cube.
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iz”u% 12 dksbZ oLrq 18 izfr'kr th-,l-Vh- lfEefyr djus ds ckn ₹ 1239 esa [kjhnh xbZA th-,l-Vh-
tksM+us ls igys ml oLrq dk ewY; Kkr dhft, & 2
An articles was bought of Rs 1239 including 18% GST. Find the price of an article

3

before adding GST.
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y?kqjkRed iz”u ¼13&22½
Short Answer type Question (13-22)
Part- A(13-16)
iz”u% 13 fuEufyf[kr dFkuksa dks i<+dj lR;@vlR; esa ls mi;qDr ij (√) vafdr dhft, (4X1=4)

(i) a ÷ a = a ¼lR;@vlR;½

(ii) 2 = ¼lR;@vlR;½

(iii) a + = 1 ¼lR;@vlR;½

(iv) 0.0016 dk ekud :i 1.6 x 10 gS ¼lR;@vlR;½

Read the following statements and mark (√) against True/False:-

(i) a ÷ b =a (True/Flase)
(ii) 2 = (True/Flase)
(iii) a = 1 (True/Flase)
(iv) The standard value of 0.0016 is 1.6 x 10 (True/Flase)

iz”u% 14 fjDr LFkkuksa dh iwfrZ dhft,& (4X1=4)
Fill in the blanks-
(i) ,d Bksl dk i`"Bh; {ks=Qy blds Qydksa ds {ks=Qyksa ds ;ksx ds -----------------------------------------gksrk gSA
¼cjkcj@cM+k½
The surface area of a solid is..............................................to the sum of the area of its faces.
(equal/big)

3 2
(ii) ?ku dk i`"Bh; {ks=Qy-------------------------------------------gksrk gSA ¼¼Hkqtk½ @6¼Hkqtk½ ½
The surface area of a cube is....................................... ((side) 3/6(side)2)

4

(iii) ,d yhVj---------------------------------------------ds cjkcj gksrk gSA ¼1000cm3@100cm3½
One litre is equal to.................................................................... ¼ 1000cm3@100cm3½

(iv) fdlh Bksl }kjk ?ksjk x;k LFkku-------------------------------------------------dgykrk gSA ¼{ks=Qy@vk;ru½
The space occupied by a solid is called......................................... ¼Area@Volume ½

iz”u% 15 LrEHk ^v^ dk LrEHk ^c^ ls feyku dhft,& (4X1=4)
Match Column ‘A’ with Column ‘B’
LrEHk ^v^ LrEHk ^c^
Column ‘A’ Column ‘B’
(a) a x (b+c+d) (1) a 2bc + ab2c + abc2

(b) (x + y - 5) x 5xy (2) ab + ac + ad

(c) (4p+1)(0) (3) 5x 2y + 5xy2 - 25xy

(d) (a+b+c)(abc) (4) 0

iz”u% 16 ,d fuekZrk dEiuh dh fofHkUu o"kksaZ esa dh xbZ fcØh fuEu vkys[k }kjk n'kkZbZ xbZ gS&
(4X1=4)
The following graph shows the yearly sales figures for a manufacturing company-

(i) o"kZ 2012 esa fcØh fdruh Fkh\
What was the sales in year 2012?

5

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(ii) o"kZ 2016 esa fcØh fdruh Fkh\
What was the sales in year 2016?.
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(iii) o"kZ 2012 rFkk o"kZ 2013 dh fcfØ;ksa esa fdruk vUrj Fkk\
What was the difference between the sales in 2012 and 2013?
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(iv) lcls vf/kd fcØh fdl o"kZ esa gqbZ\
Which year had the highest sales?
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Part-B
y?kqjkRed iz”u ¼17&22½
Short Answer type Question (17-22)

iz”u% 17 ,d ikbFkkxksjl f=d Kkr dhft,] ftldh ,d lcls NksVh la[;k 12 gS & 4
Find the pythagorean tripet, whose one smallest number is 12.
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iz”u% 18 ,d Vhoh ₹ 21]000 esa [kjhnk x;kA ,d o"kZ i'pkr~ Vhoh ds ewY; esa 5 izfr'kr voewY;u gks
x;k] ,d o"kZ i'pkr~ Vhoh dk ewY; Kkr dhfy,A 4
A TV was bought of Rs 21,000. After one year the value of the TV was depreciated by
5% (Depreciation means reduction of value due to use and age of the item). Find the
value of the TV after one year.
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iz”u% 19 ,d QSDVªh dks dqN oLrq,¡ 63 fnu esa cukus ds fy, 42 e'khuksa dh vko';drk gksrh gSA
mruh gh oLrq,¡ 54 fnu esa cukus ds fy, fdruh e'khuksa dh vko';drk gksxhA 4
A factory requires 42 machines to produce a given number of articles in 63 days. If the
same number of articles are to be made in 54 days then how many machines are
required.
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iz”u% 20 O;atd x( x - 3)+2 dks ljy dhft,A rFkk x = 1 ds fy, eku Hkh Kkr dhfy,A 4
Simplify the expression x( x - 3)+2, also find the value at x = 1.
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iz”u% 21 ,d Hkou esa 22 csyukdkj [kEHks gS] izR;sd [kEHks dh f=T;k 21 lseh vkSj m¡pkbZ 6 ehVj gSA ₹8
izfr oxZehVj dh nj ls lHkh [kEHks ds odz i`"Bh; {ks=Qy ij isaV djkus dk O;; Kkr
dhft,A 4
In a building there are 22 cylindrical pillars. The radius of each pillar is 21cm and height
is 6m. Find the total cost of painting the curved surface area of all pillars at the rate of
₹8 per m2
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7

iz”u% 22 fuEu rkfydk dk iz;ksx dj jSf[kd vkys[k cukb,A fofHkUu o"kksZa esa fdlh uxj esa nq?kZVukvksa
dh la[;k bl izdkj gS& 4
Draw a linear graph using the following table. Number of accidents occured in
different years in any city is as follows.
o’kZ
2013 2014 2015 2016
Year
nq?kZVuk
80 100 150 120
Accidents

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8

fucU/kkRed iz”u ¼23&25½
Easy type Question (23-25)

iz”u% 23 [ksy fnol ds fnu ,d fdlh nqdku esa gqbZ fofHkUu oLrqvksa dh fcØh (:i;ksa esa) uhps nh xbZ
gSA 8
oLrq,¡ fcØh ¼:i;ksa es½a
fØdsV cSV 3200
QqVckWy 800
okWyhckWy 1600
xsna 1200
vU; 400
dqy 7200
bu vk¡dM+kas dk ,d ikbZ pkVZ cukbZ;sA

On a sports day, the sales (in Rs) of different item of a particular shop are given below.
Items Sales (in ruppee)
Cricket Bat 3200
Football 800
Volleyball 1600
Ball 1200
Others 400
Total 7200
Draw a pie chart for this data:
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9

vFkok
OR
,d cPps }kjk ,d fnu esa fcrk;k x;k le; bl izdkj gSA 8

fnup;kZ le;
uhan 8 ?kaVs
fo|ky; 6 ?kaVs
x`gdk;Z 4 ?kaVs
[ksy 4 ?kaVs
vU; 2 ?kaVs
bu vk¡dM+kas dk ,d ikbZ pkVZ cukbZ;sA
The time spent by a child during a day is as follows.
Daily Schedule Duration
Sleep 8 hours
School 6 hours
Home work 4 hours
Play 4 hours
Other 2 hours
Draw a pie chart for this data:

mÙkj@Ans

10

iz”u% 24 fdlh lekUrj prqHkqZt ds nks vklUu dks.kksa ds eki cjkcj gSA lekUrj prqHkZt
q ds lHkh dks.kksa
ds eki Kkr dhft,A 8
Two adjacent angles of a parallelogram have equal measures. Find the measure of
each of the angles of the parallelogram.

vFkok
OR
vkd`fr HELP ,d lekUrj prqHkqt
Z gS ftlesa OE = 4cm vkSj HL, PE ls 5cm vf/kd gSA OH
Kkr dhft,A 8
Figure HELP is a parallelogram in which OE = 4cm and HL is 5cm more than PE. Find
OH.
P L
O

H E

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iz”u% 25 fuEufyf[kr O;atdksa ds xq.ku[k.M dhft,& (4X2=8)
Factorize the following expression.
¼i½ x2+7x+12
¼ii½ x2-8x+16

4
(iii) y -16
2
(iv) 4x -8x+4

11

vFkok
OR
fuEufyf[kr O;atdksa ds xq.ku[k.M dhft,& (4X2=8)
Factorize the following expressions
¼i½ q2 - 10q + 21
¼ii½ p2 + 6p - 16
4
(iii) m - 81
2 2 2 2
(iv) am + bm + bn + an

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