RBSE Class 8 Maths Model Paper 4 English Medium

RBSE Class 8 Maths Model Paper 4 English Medium are part of RBSE Class 8 Maths Board Model Papers. Here we have given RBSE Class 8 Maths Sample Paper 4 English Medium.

Board	RBSE
Textbook	SIERT, Rajasthan
Class	Class 8
Subject	Maths
Paper Set	Model Paper 4
Category	RBSE Model Papers

RBSE Class 8 Maths Sample Paper 4 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.
Multiplicative inverse of \(\frac {8}{21}\) is : [1]
(a) \(-\frac {8}{21}\)
(b) 1
(c) 0
(d) \(\frac {21}{8}\)

Question 2.
Interior angle of a regular polygon with n sides, is [1]
(a) \(\frac {(n-2) \times180^{\circ}}{n}\)
(b) \(\frac {n\times180^{\circ}}{n^{2}}\)
(c) \(\frac {(n-2)\times 90^{\circ}}{n}\)
(d) \(\frac {(n-2) \times90^{\circ}}{n^{2}}\)

Question 3.
Every angle of a rectangle and square is : [1]
(a) 90°
(b) 120°
(c) 60°
(d) 180°

Question 4.
Every solid is made up of polygonal area, it is called [1]
(a) Sides
(b) Edges (vertex)
(c) Face
(d) Cuboid

Question 5.
Product of (x + 2)(x – 2) is : [1]
(a) x² – 4x + 4
(b) x² – 4
(c) x² + 4x – x
(d) x² – 4x – 4

Question 6.
x and y both are positive : [1]
(a) in I quadrant
(b) in II quadrant
(c) in III quadrant
(d) in IV quadrant

Question 7.
Verified that : \(-\frac{4}{3} \times\left[\left(-\frac{2}{5}\right) \times \frac{1}{7}\right]=\left[-\frac{4}{3} \times\left(-\frac{2}{5}\right)\right] \times \frac{1}{7}\) [2]

Question 8.
What are characteristics of a concave quadrilateral? [2]

Question 9.
Factorise the expression 6xy – 4y + 6 – 9x [2]

Question 10.
In class VIII 68% Students obtained grade A out of 75 students. How many students obtainable grade A? [2]

Question 11.
Represent points A(3, 0) B(3, 3) and C(0, 3) on cartesian plane join AB and AC. Name the shape formed. [2]

Question 12.
Prove that:
\(\frac {2^{30} + 2^{29} + 2^{28}}{2^{31} + 2^{30} – 2^{29}} = \frac {7}{10}\) [4]

Question 13.
verified the following statements with help of three various examples that if n³ is odd then n is also odd. [4]

Question 14.
Find the value of \(\frac {3}{7} + (\frac {-6}{11}) + (\frac {-8}{21}) + (\frac {5}{22})\) [4]
OR
If 21y5 is multiple of 9, where y is a single digit then what is the value of y.

Question 15.
Multiply 12 × 13 × 17. [4]

Question 16.
Find the cube of 96. [4]

Question 17.
A company labeled its product after packing it in a cyclindrical tin of 20 cm height and 21 cm diameter. While labeling 2 cm distance left on both sides then determine area of label. [4]

Question 18.
If you have a rotating wheel of 3 Green sector, 1 Blue sector, and 1 Red sector. What is the probability of getting a Green sector? What is the probability of getting a sector which is not Blue? [4]

Question 19.
If \(x + \frac {1}{x} = 7\) then find the value of  \(x^{2} + \frac {1}{x^{2}}\) [4]

Question 20.
Solve equation \(\frac {5(2x – 8)}{3} – 8 =2x \) [4]

Question 21.
Factorise the expression x⁴ – (x – z)^4. [4]

Question 22.
Simple interest on an amount for 5 year is \(\frac {2}{5}\) of its total amount, then determine rate of simple interest. [6]
OR
A contractor calculate that 3 workers complete work of ploughing of Jasminder’s home in 4 days. If number of workers is 4 in place of 3 then in how many days are required to complete this work? [6]

Question 23.
Ratio of two adjacent angles of a parallelogram is 1:5 find the value of each angle of the parallelogram. [6]

Question 24.
Each side of the hexagon field ABCDEF has side of length 5 cm as given in the figure. Riya and Raima find the area of the region by dividing it into two parts in two different manner. Compare the area in both the case. [6]

OR
A cylindrical pipe, open at both ends, is made from thick iron sheet of size 2 cm. If outer diameter is 16 cm and its length is 100 cm then tell how cm3 iron is used to make the pipe.

Question 25.
Find out the probability of that number which can be selected out of number 1, 2, 3, 4, ……, 39, 40. [6]

1. a prime number less than 30.
2. a number which is a perfect square.

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