Rajasthan Board Class 8th Model Question Paper 2024 Maths

MODEL
PAPER बोर्ड ऑफ सेकं डरी एज्युके शन राजस्थान
RAJASTHAN BOARD

2024


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ELEMENTARY EDUCATION COMPLETION CERTIFICATE EXAM 2024

CLASS - 8

Subject- Mathematics

Sample Question Paper

Duration 2:30 hours Max.Marks

Objective Type Questions (1-8)

x0
Value of x 0 is
(a) (b) 0
(c) 2 (d) 7

-1=14

Left hand side in Equation -1=14 is

(a) (b) 14

(c) -1 (d) +1

The measure of each angle of a square is-
(a) 90 (b) 180
(c) 270 (d) 360

1

The perfect square number of 9 is -
(a) 90 (b) 70
(c) 99 (d) 81

Cube of a number 5 is -
(a) 5 (b) 25 (c) 125 (d) 625

=
Marked price Selling price is called
(a) (b) (c) (d)
(a) Discount (b) Principal (c) Sales tax (d) Interest

Monomial algebraic expression is -
(a) (b) +
(c) + (d) + +5

The standard form of a number 0.000035 is -
(a) 3.5x (b) 3.5x
(c) 3.5x (d) 3.5x

Very Short Answer type Questions (9-12)

x = 1
Write the name of property used under multiplication in x = 1
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2

+ = +
Solve the equation + = +
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(i)3331 (ii) 1027
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Bharti has 15 pens and Meenakshi has 45 pens. Find the ratio of the pens of both.
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Short Answer type Questions (13-22)
PART-A (13-16 )
4x1 =4

(i)

(ii)

(iii)

(iv)

3

Mark ( ) against True/False in the following statements:-

(i) Value of is (True/Flase)
(ii) Value of base of is 24 (True/Flase)
(iii) Value of is (True/Flase)
(iv) Value of is (True/Flase)

4x1 =4
Fill in the blanks-
(i)
The measure of each angle of rectangle is _____________ (right angle/ acute angle)

(ii)
The convex polygon have no portion of their diagonals in their _________________
(Exterior part/ Interior part)

(iii) 360 540
The sum of all interior angles of a pentagon is _____________ 360 540

(iv)
The diagonals of a parallelogram _____________ each other. perpendicular Disect

4x1 =4

(a) (-4p) x (7r) (1) 12p - 24pq

(b) (2p) (8q) (2) (4p) (5p)

(c) 3p(4-8q) (3) -28 pr

(d) (4) 16pq

4x1 =4

One card is probability taken out from a well shuffled deck of 52 cards, then find -

4

(i)
Probability of getting one black king
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(ii)
Probability of getting a card of red colour.
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(iii)
Probability of getting an ace.
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(iv)
Probability of getting red coloured queen.
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Short Answer type Questions
PART-B (17-22)
4
Find the square root of a number 9604 by prime factorization method
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4
If the two adjacent angles of a parallelogram are in the ratio 3:2 . Find the measures
of all the angles of the parallelogram.
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5

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%
4
Find the difference between simple interest and compound interest on Rs. 12,000 for
2 years at the rate of 10% yearly, when the interest is compounded yearly.
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4
. If 10 more
animals come to this cattle shed, then for how many days will this food be sufficient ?
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(t-3) = 5(2t+1) 2+2 = 4
Solve the equation (t-3) = 5(2t+1) and also check the answer.
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6

4
In any city, number of injuried in accedents in different years is shown in the table
below. Represent these datas on a pie- chart.
2018 2019 2020 2021
Year Total
20 12 18 22 72
No. of Injuried

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Easy type Questions (23-25)

2+2+2+2 = 8
Factorize the following expressions-
(i)
(ii)
(iii)

OR
2+2+2+2 = 8

Factorize the following expressions and divide them as directed-
(
5 (

( -1)

7

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i
4+4 = 8
The volume of a cuboidal box is 1800 cm. If its length and width is 40 cm and 30 cm
respectively, then find the height of the box.
ii

A rectangular paper of width 14 cm. is rolled along its width and a cylinder of radius 20
cm is made. Find the volume of the cylinder.

OR
i
4+4 = 8
If the area of a quadrilateral shaped garden is 54 . If the length of perpendiculars
drawn on its diagonal from its opposite vertices are 8m and 4m, then find the length
of the diagonal.

8

ii

If the volume of cubic room is 64 , then find the Total Surface area of the room.
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Ans(ii)
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4+2+2 = 8
Using suitable scales on the axes, draw a graph between side of a square and its area
from the following table.
cm
2 3 4 5 6
Side of Square (in cm)
c
4 9 16 25 36
Area(in c )

9

i
Is this a linear graph?

ii
If the side of a square is 7 cm , then find its area.

OR

4+2+2 = 8
Using suitable scales on the axes, draw a graph between side of a square and its
perimeter from the following table.

cm
2 3 3.5 5 6
Side of Square (in cm)
cm
8 12 14 20 24
Perimeter (in cm)

i
Is this a linear graph?

ii
If the side of a square is 4 cm , then find its perimeter

10

.

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11

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