Test Paper Of Class 8 Maths Chapter 2 linear equations in one variable

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**Chapter 2 Test Paper (03)**

## Class 8 Maths Chapter 2 linear equations in one variable Test Paper Set-3 Text Form:-

**PGRMS Education (Worksheet)**

**SAMPLE PAPER (02)**

CLASS: 8 MAX. MARKS :30

SUBJECT: MATHEMATICS TIME: 1:30 HOUR

CH: 2 (**Linear Equations in One Variable****)**

General Instructions:

I. All questions are compulsory.

II. This question paper contains 14 questions divided into four Sections A, B, C and D.

III. Section A has 5 questions of 1 mark each. Section B has 4 questions 2 marks each. Section C has 3 questions of 3 marks each. and Section D has 2 questions of 4 marks each.

IV. Use of Calculators is not permitted.

**Section ā A**

**In Questions 1 to 10, there are four options, out of which one is correct. Write the correct answer.**

1. If 8x ā 3 = 25 +17x, then x is.

(a) a fraction (b) an integer

(c) a rational number (d) cannot be solved

2. Write one solution of the equation 2x +y = 10

(a) x = 2, y = 3 (b) x=5, y=0

(c) x = 7, y = ā 2 (d) x=3, y=3

3. Linear equation in one variable has.

(a) only one variable with any power.

(b) only one term with a variable.

(c) only one variable with power 1.

(d) only constant term.

4. Arpitaās present age is thrice of shilpa. If shilpaās age 3yr ago was x. Then, Arpitaās present age is.

(a) 3(xā2) (b) 3x+9

(c) 3xā9 (d) 3(x)

5. Arpitaās present age is thrice of Shilpa. If Shilpaās age three years ago was x. Then Arpitaās present age is.

(a) 3(x ā 3) (b) 3x + 3

(c) 3x ā 9 (d) 3(x + 3)

** Section ā B **

6. state whether the statements are true (T) or false (F).

(a) The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.

(b) A and B are together 90 years old. Five years ago A was thrice as old as B was. Hence, the ages of A and B five years back would be (x ā 5) years and (85 ā x) years respectively.

7. The sum of three consecutive multiples of 8 is 888. Find the multiples.

8. Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.

9.Solve the following equations.

(a) 3x = 2x + 18 (b) 5t ā 3 = 3t ā 5

**Section ā C**

10. Solve the following:

(a) 0.25 (4x ā 5) = 0.75x + 8

(b) 1 ā(x ā 2) ā [(x ā 3) ā (x ā 1)] = 0

11. Solve the following equations and check your results.

(a) 2x ā 1 = 14 ā x

(b) 8x + 4 = 3 (x ā 1) + 7

12. Lakshmi is a cashier in a bank. She has currency notes of denominations Rs. 100, Rs. 50 and Rs. 10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs. 4,00,000. How many notes of each denomination does she have?

**Section ā D**

13. Solve the following:

(a)

(b)

14. (a) Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs. 50 per metre and trouser material that costs him Rs. 90 per metre. For every 3 meters of the shirt material he buys 2 metres of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs. 36,600. How much trouser material did he buy?

(b) On dividing Rs. 200 between Ram and Shyam such that twice of Ramās share is less than 3 times Shyamās share by 200, What is Shyamās share is?