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राजस्थान राज्यशैि�क अनस
ु ंधान एवं प्रिश�ण प�, उदयपुर
प्रारंि िश�ा पूणर्ता प्रमाण पत्र प- 2026
Elementary Education Completion Certificate Exam-2026
क�ा/Class- 8
िवषय – गिणत
Subject -Mathematics
Sample Paper
समय : 2:30 घंटे/ Time 2:30 hrs iw.kkZad&/M.M- 80
खण्ड- अ (SECTION-A)
वस्तुिन�प् (प्र.क1 से 8)
Objective Type questions (Q.no. I to 8)
नीचे िदए गए प्र�ों के िलए सही िवकल्प का चयन क�- 8x1=8
Choose the correct option for the questions given below-
प०1. िनम्निलिख मे से साहचयर गणु धमर के िलए उिचत िवकल् है-
From the given options which is the correct option for associative property –
(A) 12 × �23 × 15� = 23 × �13 × 15� (B) 12 × �23 + 15� = 12 × 23 + 12 × 15
(C) − 35 × �12 × 34� = �− 35 × 12� × 34 (D) 15
16
16
× 15 = 1 ( )
प०2. एक चर वाले रै िखक समीकरण मे चर क� घात होती है-
In a linear equation of one variable, the power of the variable is-
(A) 3 (B) 2 (C) 1 (D) 0 ( )
प०3. के वल रे खाखण्ड से बना सरल बंद वक है-
A simply closed curve made up of only line segment
(A) वृत/ Circle (B) बेलन/ Cylinder
(C) शक ं ु / Cone (D) ित्रभ/ Triangle ( )
प०4. संख्य 48 के वगर का इकाई अक ं होगा-
The unit digit of square of the number 48 is-
(A) 8 (B) 6 (C) 4 (D) 2 ( )
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प०5. ठोस आकृ ितयो मे िवमाओ ं क� संख्य होती है-
The number of dimensions in solid figures are –
(A) 2 (B) 3 (C) 4 (D) 5 ( )
प०6. िपछले वषर क� कुल रािश पर प�रकिलत िकया गया ब्या कहलाता है -
The interest calculated on the total amount of the previous year is called-
(A) िमश्र/ Amount (B) साधारण ब्या/ Simple interest
(C) चक्रवृ ब्या / Compound interest (D) मलू धन/ Principal ( )
प०7. िनम्निलिख मे से कौनसी संख्य िकसी बह�पद क� घात नही हो सकती है -
From the following which number cannot be the power of a polynomial-
(A) -2 (B) 0 (C) 1 (D) 2 ( )
प०8. 𝑎 𝑥 × 𝑎 𝑦 का मान है-
Value of 𝑎 𝑥 × 𝑎 𝑦 is-
(A) 𝑎 𝑥 × 𝑦 (B) 𝑎 𝑥+𝑦 (C) 𝑎 𝑥−𝑦 (D) 𝑎 𝑥 ÷ 𝑦 ( )
खण्ड ब/SECTION-B
अितलघू�रात्मक प्र� (प 9 से 12)
Very short answer type Questions (Q. No. 9 TO 12)
−2 6 5 −7
प० 9. हल क�िजए/Solve- �5�×7×4×�9� (2)
उ�र /Ans._________________________________________________________________________________________________
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प० 10. समीकरण को हल क�िजए- (2)
Solve the equation- 5x − 4 = 3x − 6
उ�र /Ans._________________________________________________________________________________________________
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प० 11. संख्य 1729 को दो घनो के योग के �प मे दो अलग-अलग प्रक से व्य क�िजए। (2)
Express the number 1729 as a sum of two Cubes in two different ways.
उ�र /Ans._________________________________________________________________________________________________
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प०12. श्यम ने एक वस्त ₹ 783 मे खरीदी िजसमे 8%. वस्त एवं सेवा कर (G.S.T.) सिम्मिल था। वस्त एवं सेवा
कर (G.S.T.) जोड़ने से पहले वस्त का मल् ू क्य था ? (2)
Shyam bought an article for Rs 783 including GST of 8%. Find the price of the article
before GST was added?
उ�र /Ans._________________________________________________________________________________________________
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खण्डस / SECTION-C
लघ�ू रात्मक प्र� (प 13 से 22)
Short answer type Questions(Q. No. 13 TO 22)
भाग -अ / PART-A (13 - 16)
प० 13. �र� स्थान क� पिू तर क�िजए-
Fill in the blanks - (4 x 1 = 4)
(i) 1 माईक्र…………………….के बराबर होता है । (1 x 10-6 / 1 x 10 6)
1 Micron is equal to…………………………………..
(ii) 0.00035 का मानक �प…………………………….. है । (3.5 x 10-4 / 3.5 x 104)
The standard form of 0.00035 is ………………
(iii) 1.25×10 -3 का सामान् �प ………………….. है । (125000/0.00125)
The usual form of 1.25 X 10-3 is ...................
(iv) 32 × 3−5 × 36 का मान …………………………….होगा । (27 / 9)
The value of 32 × 3−5 × 36 ……………………
प० 14. िनम्निलिख कथनो को पढ़कर उिचत स्था पर सत् या असत् िलिखए। (4 x 1 = 4)
Read the following statements and write True or False in the appropriate place -
(i) घनाभ का पृ�ीय �ेत्र 𝑙𝑏 + 𝑏ℎ + ℎ𝑙 होता है। __________
The surface area of a cuboid is 𝑙𝑏 + 𝑏ℎ + ℎ𝑙_ __________
(ii) िकसी पात मे भरे गए पदाथर क� मात् उसक� धा�रता कहलाती है- __________
The quantity of a substance filled in any container is called its capacity.________
(iii) एक सन्दू मे 8 फलक एवम् 6 शीषर होते हैं __________
In a box there are 8 faces and 6 vertices __________
(iv) 1 सेमी³, 1000 L के बराबर होता है। __________
1 cm3 is equal to 1000L __________
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प० 15 स्तम 'अ' का स्तम 'ब' से िमलान क�िजए- (4 x 1 = 4)
Match Column 'A' to Column ‘B’
स्तम 'अ'/ Column 'A' स्तम 'ब'/ Column 'B'
(i) (𝑎 − 𝑏 + 𝑎𝑏) − (−𝑏 + 𝑐 + 𝑎𝑏) (a) −12𝑃4
(ii) (4𝑃3) × (−3𝑃) (b) 5𝑥 2 𝑦 + 5𝑥𝑦 2 − 25𝑥𝑦
(ii) (𝑥 + 𝑦 − 5)(5𝑥𝑦) (c) −2𝑥 2 − 𝑥 + 15
(iv) (5 − 2𝑥)(3 + 𝑥) (d) 𝑎 − 𝑐
प० 16 एक थैले मे 4 लाल गें, 2 पीली गें और 3 सफे द गें हैं थैले के अन्द से िबना देखे एक गें िनकाली जाती
है तो िनम्िलिखत क� क्य प्राियक है? (4 x 1 = 4)
In a bag there are 4 red balls, 2 yellow balls and 3 white balls, without seeing inside
the bag 1 ball is taken out of them, what will be the probability of the following.
(i) िनकाली गई गें पीली हो।
The ball taken out is yellow.
उ�र /Ans.______________________________________________________________________
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(ii) िनकाली गई गें लाल नही हो।
The ball taken out is not red.
उ�र / Ans.______________________________________________________________________
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(iii) िनकाली गई गें सफे द हो ।
The ball taken out is White
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(iv) िनकाली गई गें हरी हो ।
The ball taken out is green.
उ�र / Ans.______________________________________________________________________
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भाग -ब / PART-B (17- 22)
प०17 संख्य 31.36 का भाग िविध से वगर्मू �ात क�िजए । (4)
Find the square root of the number 31.36 by division method
उ�र / Ans.____________________________________________________________________________
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प०18 ₹ 12,000 का 2 वषर के िलए 10% वािषर् दर से चकवृिद ब्या और साधारण ब्या मे अतं र �ात
क�िजए। (4)
Find the difference between compound interest and simple interest of Rs 12,000 for 2
years at 10% interest rate yearly.
उ�र / Ans.____________________________________________________________________________
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प०19 एक घनाभ क� िवमाएँ 60 सेमी × 42 सेमी × 36 सेघनाभमी है। इस घनाभ के अन्द 6 सेमी भजा
ु वाले
िकतने छोटे घन रखे जा सकते है? (4)
The dimensions of a cuboid are 60 𝑐𝑚 × 42 𝑐𝑚 × 36 𝑐𝑚 .How many small cubes of
side 6 𝑐𝑚 can be placed in this cuboid.
उ�र / Ans.____________________________________________________________________________
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प०20 दी�ा के पास सड़क का एक मानिचत है, िजसके पैमाने मे 1 सेमी. क� दरू ी 18 िकमी. को िन�िपत करती है।
वह इस सड़क पर अपनी गाड़ी से 72 िकमी. क� दरू ी तय करती है। उसके द्वा तय क� गई दरू ी को मानिचत मे
िकतने सेमी. से दशार्या जाएगा? (4)
Diksha has a road map with a scale of 1 cm representing 18 km. She drives by her
vehicle on this road for 72 km. How many cm shown in the map distance covered by
her.
उ�र / Ans.____________________________________________________________________________
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प०21 रै िखक समीकरण को हल क�िजए और अपने उ�र क� जाँच भी क�िजए- (2 + 2 = 4)
Solve the linear equation and also examine its answer
3𝑡 − 2 2𝑡 + 3 2
− = −𝑡
4 3 3
उ�र / Ans. .____________________________________________________________________________
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प०22 एक वषर मे यातायात पिु लस द्वा काटे गए चालानो क� संख्य को सारणी मे (त्मािसक) दशार्य गया है।
दी गई सचू ना को पाई चाटर (वृ�ालेख) द्वा िन�िपत क�िजए। (4)
The number of challans issued by traffic police in one year is shown in the table
(quarterly).Represent the following information in a pie chart.
त्मािसक/Quarter चालानो क� संख्य
जनवरी से माचर/January to March 180
अप्र से जनू / April to June 150
जला
ु ई से िसतम्ब/July to September 240
अक्टूब से िदसम्ब/October to December 150
योग / Total 720
उ�र / Ans.__________________________________________________________________________
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प० 23 िनम्निलिख व्यंको के गणु नखडं क�िजए । (4 x 2 = 8)
Factorise the following expressions.
(i) 6𝑥 2 𝑦 − 18𝑥𝑦 2
(ii) 15𝑝𝑞 + 15 + 9𝑞 + 25𝑝
(iii) 16𝑥 2 − 49
(iv) 𝑎2 + 6𝑎 − 16
अथवा/Or
भाग क�िजए-
Divide –
(i) (𝑥 2 − 25) ÷ (𝑥 + 5)
(ii) 7𝑥 2 𝑦 2 𝑧 2 ÷ 14𝑥𝑦𝑧
(iii) (𝑚2 − 14𝑚 − 32) ÷ (𝑚 + 2)
(iv) (𝑝3 𝑞 6 − 𝑝6 𝑞 3 ) ÷ 𝑝3 𝑞 3
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उ�र / Ans.(ii)_______________________________________________________________
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उ�र / Ans.(iii)
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उ�र / Ans.(iv)_______________________________________________________________
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प० 24 (i) दी गई आकृ ित मे 𝑥 का मान �ात क�िजए । (4 + 4= 8)
Find the value of 𝑥 in the given figure.
O
R
80o
x
Q
M P N
130o
(ii ) िदए गए समान्त चतभु ्रु JKLM मे अ�ात कोणो ∠𝑥, ∠y और ∠z का मान �ात क�िजए-
Find the value of unknown angles ∠𝑥, ∠y 𝑎𝑛𝑑 ∠z in the given parallelogram 𝐽𝐾𝐿𝑀 .
M L
x
y
40o
70o
z
J K
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अथवा/Or
रु मे 𝑥 एवं 𝑦 का मान �ात क�िजए-
( i ) िदए गए समान्त चतभु ्ज (4 + 4= 8)
Find the value of 𝑥 𝑎𝑛𝑑 𝑦 in the given parallelogram
x
S S N
T
y 19
2x+y
y+7
16
100O
M O H A
(i) ( ii)
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प०25 रमेश 30 िकमी प्र घंटा क� गित से स्कूट चलाता है। इस िस्थि के िलए समय-दरू ी का एक रै िखक आरे ख
बनाइए ।
Ramesh drives the scooter at a speed of 30Km/hour. For this condition, draw a time -
distance linear graph. (8)
अथवा/OR
दी गई तािलका के आधार पर रै िखक आरे ख बनाइये तथा िदए गए प्र के उ�र दीिजए।
Draw a linear graph form the given table and answer the given question. (4 + 2 + 2 =8)
वगर क� भजा
ु (सेमी मे)
3 5 6 8 9
Side of square (In cm)
वगर का प�रमाप ( सेमी मे)
12 20 24 32 36
Perimeter of square (In cm)
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(i) क्य आरे ख मल
ू िबन्द से गजु रता है?
Does the graph passes through the origin?
उ�र / Ans.________________________________________________________________
(ii) वगर का प�रमाप िकतना होगा िजसक� भजा
ु 4 सेमी. हो?
What would be the perimeter of a square whose side is 4 cm.
उ�र / Ans.________________________________________________________________
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रफ -कायर / ROUGH-WORK
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