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**

- Candidates must first, write their Roll No. on the question paper compulsorily.
- All questions are compulsory.
- Write answer to each question in the given answer book only.
- Answers of the questions with internal division should be written at one place.
- Draw a table in your answer-book and give answer of questions number 1 to 6 (M.C.Q.s) in it.
- 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 a^{2} – b^{2} are :** [1]**

(a) (a^{2} – b^{2})

(b) (a^{2} – b^{2}) (a^{2} + b^{2})

(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]**

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

Question 12.

Evaluate : [latex s=1]3 \frac{1}{2}+\left(-1 \frac{1}{2}\right)-\left(-4 \frac{1}{2}\right)+\left(2 \frac{2}{5}\right)[/latex]** [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]**

- 103
^{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 cm^{2}, one of its diagonal is 20 cm, then find the length of other diagonal.** [4]**

Question 18.

Factorise the following expressions (Any two) :** [4]**

- 5pq + 5p + 3q
^{2}+ 3q - a
^{2}– 5a + 6 - p
^{4}– 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]**

- Due to which mistake, maximum accidents took place?
- 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. [latex s=1]\left( \Pi =\frac { 22 }{ 7 } \right) [/latex]** [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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