Class 8 Math Solution WBBSE: Simple and Clear Solutions

Class 8 Math Solution WBBSE helps students to understand key concepts and practice problems effectively for better exam results.

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Math can seem tough, but with the right approach, it becomes easy to understand. Class 8 Math focuses on many important topics that students will use in future studies. The WBBSE (West Bengal Board of Secondary Education) exam helps test your skills. Here, we will go through various questions and answers to help you practice and learn better. Each question will help you understand how to solve problems and get the correct answers step by step

Question 1
Question: What is the formula for the area of a rectangle?

Answer: The area of a rectangle is calculated by multiplying its length and breadth.
Area = Length × Breadth

Question 2
Question: How do you find the perimeter of a square?

Answer: The perimeter of a square is found by multiplying the length of one side by 4.
Perimeter = 4 × Side

Question 3
Question: What is the Pythagorean Theorem?

Answer: The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides

a² + b² = c²

Question 4
Question: How do you find the volume of a cube?

Answer: The volume of a cube is calculated by cubing the length of one side.
Volume = Side³

Question 5
Question: What is the value of π (pi)?

Answer: The value of π (pi) is approximately 3.14159.

Question 6
Question: How do you calculate the Simple Interest?

Answer: Simple Interest is calculated using the formula:
Interest = (Principal × Rate × Time) / 100

Question 7
Question: What is the formula for the area of a circle?

Answer: The area of a circle is calculated as:
Area = π × r², where r is the radius.

Question 8
Question: How do you find the circumference of a circle?

Answer: The circumference of a circle is found using the formula:
Circumference = 2 × π × r

Question 9
Question: What is a ratio?

Answer: A ratio is a relationship between two numbers, showing how many times the first number contains the second number.

Question 10
Question: How do you convert a fraction to a decimal?

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

Question 11
Question: What is the difference between mean, median, and mode?

Answer:

Mean is the average of numbers.
Median is the middle value in an ordered set of numbers.
Mode is the number that appears most frequently in a data set.

Question 12
Question: How do you multiply two algebraic expressions?

Answer: To multiply two algebraic expressions, use the distributive property and multiply each term in the first expression by each term in the second.

Question 13
Question: What is the identity for multiplying two binomials?

Answer: The identity for multiplying two binomials is:
(a + b)(a - b) = a² - b²

Question 14
Question: How do you solve a linear equation?

Answer: To solve a linear equation, isolate the variable on one side by performing arithmetic operations on both sides.

Question 15
Question: What is the formula for the surface area of a cube?

Answer: The surface area of a cube is found by:
Surface Area = 6 × Side²

Question 16
Question: What is the difference between a rational and irrational number?

Answer:

A rational number can be written as a fraction.
An irrational number cannot be expressed as a fraction.

Question 17
Question: What is the value of the square root of 64?

Answer: The square root of 64 is 8.

Question 18
Question: How do you simplify a fraction?

Answer: To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Question 19
Question: How do you solve a pair of linear equations?

Answer: To solve a pair of linear equations, use either the substitution method or the elimination method to find the values of the variables.

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

Answer: The area of a triangle is calculated as:
Area = (Base × Height) / 2

Question 21
Question: How do you calculate the profit percentage?

Answer: Profit percentage is calculated using the formula:
Profit Percentage = (Profit / Cost Price) × 100

Question 22
Question: What is a polynomial?

Answer: A polynomial is an algebraic expression consisting of terms that are connected by addition or subtraction.

Question 23
Question: What is the formula for the volume of a cylinder?

Answer: The volume of a cylinder is calculated as:
Volume = π × r² × h, where r is the radius and h is the height.

Question 24
Question: How do you find the roots of a quadratic equation?

Answer: The roots of a quadratic equation can be found using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a

Question 25
Question: What is the relationship between degrees and radians?

Answer: 1 degree is equal to π/180 radians.

Question 26
Question: What is the formula for the perimeter of a triangle?

Answer: The perimeter of a triangle is found by adding the lengths of its three sides.
Perimeter = Side1 + Side2 + Side3

Question 27
Question: How do you express a decimal as a percentage?

Answer: To express a decimal as a percentage, multiply the decimal by 100 and add the percent sign.

Question 28
Question: What is a proportion?

Answer: A proportion is an equation that states that two ratios are equal.

Question 29
Question: How do you add fractions with different denominators?

Answer: To add fractions with different denominators, find a common denominator, adjust the fractions, and then add them.

Question 30
Question: What is the formula for the area of a parallelogram?

Answer: The area of a parallelogram is calculated as:
Area = Base × Height

Question 31
Question: What are integers?

Answer: Integers are whole numbers that can be positive, negative, or zero.

Question 32
Question: How do you subtract decimals?

Answer: To subtract decimals, align the decimal points and subtract as you would with whole numbers.

Question 33
Question: What is the rule for multiplying signed numbers?

Answer: When multiplying signed numbers, if the signs are the same, the product is positive; if the signs are different, the product is negative.

Question 34
Question: How do you find the LCM of two numbers?

Answer: The LCM (Least Common Multiple) of two numbers is the smallest number that both can divide.

Question 35
Question: What is the formula for the volume of a cone?

Answer: The volume of a cone is calculated as:
Volume = (1/3) × π × r² × h

Question 36
Question: How do you find the median in a set of numbers?

Answer: To find the median, arrange the numbers in ascending order and find the middle value.

Question 37
Question: How do you solve an inequality?

Answer: To solve an inequality, treat it like an equation, but reverse the inequality sign when multiplying or dividing by a negative number.

Question 38
Question: What is the formula for the area of a trapezium?

Answer: The area of a trapezium is calculated as:
Area = (1/2) × (Sum of parallel sides) × Height

Question 39
Question: How do you convert a percentage to a fraction?

Answer: To convert a percentage to a fraction, divide the percentage by 100 and simplify if needed.

Question 40
Question: What is the difference between permutations and combinations?

Answer:

Permutations refer to the arrangement of objects where order matters.
Combinations refer to the selection of objects where order does not matter.

Question 41
Question: What is a quadratic equation?

Answer: A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0.

Question 42
Question: How do you solve a quadratic equation by factoring?

Answer: To solve by factoring, express the quadratic equation as a product of binomials and set each factor equal to zero.

Question 43
Question: What is the distributive property?

Answer: The distributive property states that:
a(b + c) = ab + ac

Question 44
Question: How do you find the HCF of two numbers?

Answer: The HCF (Highest Common Factor) is the largest number that divides both numbers.

Question 45
Question: What is the difference between rational and irrational numbers?

Answer:

Rational numbers can be written as fractions.
Irrational numbers cannot be expressed as fractions.

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

Answer: To calculate the percentage of a number, multiply the number by the percentage and divide by 100.

Question 47
Question: What is the formula for the volume of a sphere?

Answer: The volume of a sphere is calculated as:
Volume = (4/3) × π × r³

Question 48
Question: How do you calculate the cost price of an item?

Answer: To calculate the cost price, subtract the profit from the selling price.

Question 49
Question: What is the probability of an event?

Answer: Probability is the likelihood of an event happening, calculated as the ratio of favorable outcomes to total outcomes.

Question 50
Question: How do you multiply polynomials?

Answer: To multiply polynomials, use the distributive property to multiply each term of one polynomial with each term of the other.

Question 51
Question: What is a factor of a number?

Answer: A factor of a number is a number that divides evenly into that number.

Question 52
Question: What is the formula for the surface area of a cylinder?

Answer: The surface area of a cylinder is:
Surface Area = 2πr² + 2πrh

Question 53
Question: What are similar triangles?

Answer: Similar triangles have the same shape, but different sizes. The corresponding angles are equal, and the corresponding sides are in proportion.

Question 54
Question: How do you find the distance between two points on a coordinate plane?

Answer: Use the distance formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Question 55
Question: What is the rule for dividing signed numbers?

Answer: When dividing signed numbers, if the signs are the same, the result is positive; if the signs are different, the result is negative.