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Vardaan Learning Institute

MOCK TEST: MATHEMATICS
Class: 8 (CBSE) Max. Marks: 50 Time: 1 Hour
General Instructions:
  • The question paper consists of four sections: A, B, C, and D.
  • Section A: 10 MCQs of 1 mark each.
  • Section B: 5 Questions of 2 marks each.
  • Section C: 6 Questions of 3 marks each.
  • Section D: 3 Questions of 4 marks each.
  • Calculators are not allowed.
Section A: Multiple Choice Questions (1 Mark each)
1.
Which of the following numbers is a perfect square?
[1]
(a) 154
(b) 256
(c) 32
(d) 720
2.
The cube of a negative integer is always:
[1]
(a) Positive
(b) Negative
(c) Zero
(d) Undefined
3.
In the equation 2x - 3 = 7, the value of x is:
[1]
(a) 2
(b) 4
(c) 5
(d) 10
4.
If 15 men can do a work in 20 days, how many days will 10 men take to do the same work?
[1]
(a) 30 days
(b) 15 days
(c) 40 days
(d) 25 days
5.
The discount is always calculated on the:
[1]
(a) Selling Price
(b) Cost Price
(c) Marked Price
(d) Profit
6.
The value of (a + b)² is:
[1]
(a) a² - b²
(b) a² + b²
(c) a² + b² - 2ab
(d) a² + b² + 2ab
7.
The sum of the interior angles of a quadrilateral is:
[1]
(a) 180°
(b) 270°
(c) 360°
(d) 540°
8.
Which of the following is a polynomial in one variable?
[1]
(a) 2x + 3y
(b) x² + 2x + 3
(c) x + 1/x
(d) √x + 2
9.
The coordinates of the origin are:
[1]
(a) (0, 1)
(b) (1, 0)
(c) (0, 0)
(d) (1, 1)
10.
The area of a trapezium is given by:
[1]
(a) 1/2 × (sum of parallel sides) × height
(b) base × height
(c) 1/2 × base × height
(d) side × side
Section B: Very Short Answer Questions (2 Marks each)
11.
Find the square root of 1156 by prime factorization method.
[2]
12.
Simplify using laws of exponents: (4/9)³/² × (4/9)¹/²
[2]
13.
Find the value of 'x' if: 5x - 3 = 3x + 7.
[2]
14.
Factorize the following expression: x² + 5x + 6
[2]
15.
If the marked price of a book is ₹900 and the discount is 10%, find the selling price.
[2]
Section C: Short Answer Questions (3 Marks each)
16.
Find the smallest number by which 3087 must be multiplied so that the product is a perfect cube.
[3]
17.
A train 360 m long is running at a speed of 45 km/hr. What time will it take to cross a 140 m long bridge?
[3]
18.
Divide the polynomial 6x² - 13x + 6 by 2x - 3.
[3]
19.
Find the compound interest on ₹12,000 for 2 years at 10% per annum compounded annually.
[3]
20.
The adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of all the angles of the parallelogram.
[3]
21.
The area of a rhombus is 240 cm² and one of the diagonals is 16 cm. Find the other diagonal.
[3]
Section D: Long Answer Questions (4 Marks each)
22.
Find the square root of 147.1369 by the long division method.

OR

Find the least number which must be subtracted from 7581 to obtain a perfect square. Find this perfect square and its square root.
[4]
23.
The difference between the compound interest and the simple interest on a certain sum at 10% per annum for 3 years is ₹93. Find the sum.
[4]
24.
The present ages of Ram and Rahim are in the ratio 4:3. Four years later, their ages will be in the ratio 6:5. What are their present ages?
[4]
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