8 maths sa 2 question paper 2024-25

Class 8 Maths - Questions and Answers

1. Area of a Rectangle

The length and breadth of a rectangle are represented by (3x + 2) and (x - 5) respectively. Which of the following represents the area of the rectangle?

A) 3x² - 10
B) 3x² + 2x - 10
C) 3x² - 13x - 10
D) 3x² + 17x + 10

Answer:

B) 3x² + 2x - 10

To calculate the area of a rectangle, use Length × Breadth. Expanding the expression: (3x + 2)(x - 5), we get: 3x² - 13x - 10.

2. Type of Quadrilateral

What type of quadrilateral has all sides equal and two adjacent angles measuring 150° and 30°?

A) Kite
B) Rhombus
C) Square
D) Parallelogram

Answer:

B) Rhombus

A rhombus has all sides equal, and adjacent angles are supplementary (150° + 30° = 180°). Squares have all angles equal to 90°.

3. Pythagorean Triplet

Which of the following sets of numbers forms a Pythagorean triplet?

A) 8, 15, 18
B) 7, 24, 25
C) 10, 20, 22
D) 6, 9, 12

Answer:

B) 7, 24, 25

A Pythagorean triplet satisfies a² + b² = c². Here: 7² + 24² = 25².

21. Smallest Integer Addition

Find the smallest positive integer that should be added to 1500 to make it a perfect square.

Answer:

21

- The square root of 1500 is approximately 38.72. - The nearest perfect squares are 38² = 1444 and 39² = 1521. - To make 1500 a perfect square, add: 1521 - 1500 = 21.

28b. Total Perimeter of Two Fields

A farmer owns two fields. Find the total perimeter of both fields in terms of x.

Answer:

20x + 18 metres

- Field A: Perimeter = 4x + 14. - Field B: Perimeter = 16x + 4. - Total Perimeter = (4x + 14) + (16x + 4) = 20x + 18.