RBSE Class 8 Maths Model Paper 1 English Medium

RBSE Class 8 Maths Model Paper 1 English Medium are part of RBSE Class 8 Maths Board Model Papers. Here we have given RBSE Class 8 Maths Sample Paper 1 English Medium.

Board	RBSE
Textbook	SIERT, Rajasthan
Class	Class 8
Subject	Maths
Paper Set	Model Paper 1
Category	RBSE Model Papers

RBSE Class 8 Maths Sample Paper 1 English Medium

Time: 2½ Hours
Maxim Marks: 80

General Instructions to the Examinees

1. Candidates must first, write their Roll No. on the question paper compulsorily.
2. All questions are compulsory.
3. Write answer to each question in the given answer book only.
4. Answers of the questions with internal division should be written at one place.
5. Draw a table in your answer-book and give answer of questions number 1 to 6 (M.C.Q.s) in it.
6. Weightage of the question is written infront of the question.

Question 1.
Find the cube root of 1000 is : [1]
(a) 1
(b) 10
(c) 100
(d) 1000

Question 2.
The factors of expression a² – b² are : [1]
(a) (a² – b²)
(b) (a² – b²) (a² + b²)
(c) (a + b) (a + b)
(d) (a – b) (a + b)

Question 3.
By increasing the sides in the direction outer of convex polygon, the sum of all exterior angles is : [1]
(a) 360°
(b) 270°
(c) 180°
(d) 90°

Question 4.
Number of diagonals in any quadrilateral is : [1]
(a) 1
(b) 2
(c) 3
(d) 4

Question 5.
Number of faces in a cube is : [1]
(a) 2
(b) 4
(c) 6
(d) 8

Question 6.
Perpendicular distance of a point from x-axis in coordinate plane is called : [1]
(a) Ordinate
(b) Abscissa
(c) Coordinate
(d) Quadrant

Question 7.
If (243)^{x+ 1} = (243)^-5 then find the value of x. [2]

Question 8.
In class VIII 60% students obtained grade A in maths out of 45 students. How many students got A grade in maths? [2]

Question 9.
Simplify : [2]
(x – 5)² + 10x

Question 10.
In a polyhedron number of faces is 5 and number of edges is 9. Find number of vertices of the polyhedron. [2]

Question 11.
Given bar graph shows the expenditure on different head of “Swatch Bharat Abhiyan”. [2]

1. Name the head of maximum expenditure.
2. How much amount spent in construction of toilets.

Question 12.
Evaluate : \(3 \frac{1}{2}+\left(-1 \frac{1}{2}\right)-\left(-4 \frac{1}{2}\right)+\left(2 \frac{2}{5}\right)\) [4]

Question 13.
If a 4-digit number llx 6 is divisible by 3. Find all values of x where x is a digit. [4]

Question 14.
Solve using “Urdhavtiryaghyaam sutra” : 415 x 132 [4]

OR

Solve by dhwajank formula: 3732 ÷ 42 [4]

Question 15.
Using suitable identities, evaluate the following : [4]

1. 103²
2. 72 × 68

Question 16.
Find the number of sides of a regular polygon if its each interior angle is 165°. [4]

Question 17.
The area of a rhombus is 360 cm², one of its diagonal is 20 cm, then find the length of other diagonal. [4]

Question 18.
Factorise the following expressions (Any two) : [4]

1. 5pq + 5p + 3q² + 3q
2. a² – 5a + 6
3. p⁴ – 81

Question 19.
Find three consecutive multiple of 11, whose sum is 363. [4]

Question 20.
Find the value of x and y in given parallelogram PQRS. [4]

Also, write any two properties used to find the angles.

Question 21.
Various mistakes of automobile drivers are shown in the following pie chart. With the help of pie-chart answer the following questions. [4]

1. Due to which mistake, maximum accidents took place?
2. How many accidents occur due to sudden breaking and bad condition of road collectively.

Question 22.
Payal took loan of Rs. 20,000 for parlor from a nationalized Bank. How much amount will she repay after 3 years, if annual rate of interest is 14% and interest is compounded annually? [6]

OR

A Businessman purchased goods for Rs. 14,000. He paid Rs. 50 as autorent and Rs. 150 as wages. For earning 5% profit, at what price he should sell goods.

Question 23.
Construct a quadrilateral ABCD whose sides AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm and diagonal AC = 7 cm. [6]

OR

Construct a rectangle whose adjacent sides are 6 cm and 4 cm

Question 24.
A right circular cylinder has radius 7 cm and total surface area 968 cm. Find its height. \(\left( \Pi =\frac { 22 }{ 7 } \right) \) [6]

OR

Find area of the given figure (All measurements are in meters).

Question 25.
Draw a linear graph between time and distance shown in the following table. [6]

Time (hrs.)	3	6	9	12	15
Distance (in Km.)	15	30	45	60	75

OR

Draw a linear graph between deposited money and interest earned given in following table.

Deposited money (in Rs.)	2000	4000	6000	8000	10000
Interest earned (in Rs.)	20	40	60	80	100

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