Class 8 Math Solution WBBSE: Comprehensive Question Bank for Students

Class 8 Math Solution WBBSE includes various questions and answers to help students understand key concepts for better exam preparation.

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Class 8 math can be tricky, but with the right approach, it becomes easy to understand. This guide provides simple explanations and solutions for class 8 math problems based on the WBBSE syllabus. The answers are written in a way that is easy to follow, helping students to grasp the concepts more easily. With practice and understanding of the solutions, math can become a lot more enjoyable and manageable for class 8 students.

Class 8 Math Solution WBBSE

Question 1:
What is the value of pi?

Answer:
The value of pi is approximately 3.1416.

Question 2:
What is the formula for finding the area of a rectangle?

Answer:
The formula for the area of a rectangle is length × width.

Question 3:
How do you convert a fraction into a decimal?

Answer:
To convert a fraction into a decimal, divide the numerator by the denominator.

Question 4:
What is the Pythagoras theorem?

Answer:
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Question 5:
What is the perimeter of a square?

Answer:
The perimeter of a square is calculated as 4 × side length.

Question 6:
How do you find the area of a triangle?

Answer:
The area of a triangle is calculated by using the formula ½ × base × height.

Question 7:
What is the difference between mean, median, and mode?

Answer:
Mean is the average of numbers, median is the middle number, and mode is the number that appears most frequently.

Question 8:
What is the area of a circle?

Answer:
The area of a circle is calculated as π × radius².

Question 9:
What is the formula for finding the volume of a cuboid?

Answer:
The volume of a cuboid is calculated as length × width × height.

Question 10:
How can we simplify the expression 2x + 3x?

Answer:
The simplified expression is 5x.

Question 11:
What is the LCM of 12 and 18?

Answer:
The LCM of 12 and 18 is 36.

Question 12:
What is the HCF of 24 and 36?

Answer:
The HCF of 24 and 36 is 12.

Question 13:
How do you solve linear equations?

Answer:
To solve linear equations, isolate the variable on one side of the equation.

Question 14:
What is a rational number?

Answer:
A rational number is a number that can be written as a fraction where the numerator and denominator are integers.

Question 15:
What is the rule for multiplying two negative numbers?

Answer:
Multiplying two negative numbers gives a positive result.

Question 16:
What is the sum of angles in a triangle?

Answer:
The sum of angles in a triangle is always 180°.

Question 17:
How do you calculate the mean of a set of numbers?

Answer:
To calculate the mean, add all the numbers together and divide by the total number of values.

Question 18:
What is the difference between simple interest and compound interest?

Answer:
Simple interest is calculated only on the principal amount, while compound interest is calculated on both the principal and the interest.

Question 19:
How do you solve a quadratic equation?

Answer:
To solve a quadratic equation, use the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a.

Question 20:
What is the formula for the surface area of a sphere?

Answer:
The surface area of a sphere is 4π × radius².

Question 21:
What is the formula for finding the volume of a cylinder?

Answer:
The volume of a cylinder is calculated as π × radius² × height.

Question 22:
What is the formula for the area of a trapezium?

Answer:
The area of a trapezium is calculated as ½ × (sum of parallel sides) × height.

Question 23:
What is a parallelogram?

Answer:
A parallelogram is a quadrilateral where opposite sides are parallel and equal in length.

Question 24:
How do you calculate the distance between two points on a coordinate plane?

Answer:
To calculate the distance, use the formula √((x2 - x1)² + (y2 - y1)²).

Question 25:
What is the formula for finding the area of a rhombus?

Answer:
The area of a rhombus is calculated as ½ × product of diagonals.

Question 26:
What is the definition of a composite number?

Answer:
A composite number is a number that has more than two factors.

Question 27:
What is the method to find the cube of a number?

Answer:
To find the cube of a number, multiply the number by itself three times.

Question 28:
What is the difference between a fraction and a decimal?

Answer:
A fraction represents a part of a whole, while a decimal represents a part of a whole using powers of 10.

Question 29:
How do you convert a decimal into a percentage?

Answer:
To convert a decimal into a percentage, multiply the decimal by 100.

Question 30:
What is the probability of an event?

Answer:
Probability is the measure of the likelihood of an event happening, calculated as the favorable outcomes divided by the total number of possible outcomes.

Question 31:
What is the formula for calculating the perimeter of a triangle?

Answer:
The perimeter of a triangle is calculated as the sum of the lengths of its three sides.

Question 32:
What is the volume of a cone?

Answer:
The volume of a cone is calculated as (1/3) × π × radius² × height.

Question 33:
What is the formula for the surface area of a cube?

Answer:
The surface area of a cube is calculated as 6 × side².

Question 34:
What is a prime number?

Answer:
A prime number is a number greater than 1 that has only two factors: 1 and itself.

Question 35:
What is the formula for the area of a square?

Answer:
The area of a square is calculated as side × side.

Question 36:
What is the perimeter of a rectangle?

Answer:
The perimeter of a rectangle is calculated as 2 × (length + width).

Question 37:
How do you simplify the expression 3y - 2y + 5?

Answer:
The simplified expression is y + 5.

Question 38:
What is the rule for dividing two negative numbers?

Answer:
Dividing two negative numbers gives a positive result.

Question 39:
How do you solve an inequality?

Answer:
To solve an inequality, isolate the variable on one side and apply the rules of inequalities.

Question 40:
What is a ratio?

Answer:
A ratio is a comparison of two quantities expressed as a fraction or using a colon.

Question 41:
What is the formula for calculating the area of a circle?

Answer:
The area of a circle is π × radius².

Question 42:
What is the relationship between degrees and radians in angle measurement?

Answer:
1 radian = 180/π degrees.

Question 43:
What is the formula for the perimeter of a circle?

Answer:
The perimeter (circumference) of a circle is calculated as 2π × radius.

Question 44:
How do you find the simple interest?

Answer:
The simple interest is calculated as (principal × rate × time) / 100.

Question 45:
What is the meaning of a mixed fraction?

Answer:
A mixed fraction is a whole number combined with a proper fraction.

Question 46:
How do you calculate the square of a number?

Answer:
To calculate the square of a number, multiply the number by itself.

Question 47:
What is the difference between perimeter and area?

Answer:
Perimeter is the total length around a shape, while area is the total space within the shape.

Question 48:
What is the formula for calculating the surface area of a cylinder?

Answer:
The surface area of a cylinder is calculated as 2πr(h + r), where r is the radius and h is the height.

Question 49:
What is the cube root of 27?

Answer:
The cube root of 27 is 3.

Question 50:
How do you calculate the arithmetic mean of a set of numbers?

Answer:
The arithmetic mean is the sum of all numbers divided by the total number of values.

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