Complete guide to class 10 maths solution for wbbse exam preparation

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In class 10, mathematics plays a key role in shaping students' understanding of logical concepts and problem-solving skills. Preparing for the WBBSE (West Bengal Board of Secondary Education) exam requires consistent practice and a solid grasp of various mathematical concepts. This article provides questions and answers across all topics that are crucial for the class 10 maths exam under WBBSE. By solving these questions, students can boost their preparation and perform well in their exams

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Question: What is the Pythagoras Theorem?

Answer: The Pythagoras 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. Mathematically, a2+b2=c2a^2 + b^2 = c^2a2+b2=c2, where $c$ is the hypotenuse.

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

Answer: The formula for the area of a circle is A=πr2A = \pi r^2A=πr2, where $r$ is the radius of the circle and $\pi$ is approximately 3.14.

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Question: What is the value of $\pi$?

Answer: The value of $\pi$ is approximately 3.1416, though it is an irrational number, meaning it has an infinite number of non-repeating decimal places.

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Question: How do you find the volume of a sphere?

Answer: The formula for the volume of a sphere is V=43πr3V = \frac{4}{3} \pi r^3V=34​πr3, where $r$ is the radius of the sphere.

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Question: What is the quadratic formula?

Answer: The quadratic formula is used to find the solutions of a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0. It is given by x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=2a−b±b2−4ac​​.

 

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Question: What is the distance formula in coordinate geometry?

Answer: The distance formula is used to calculate the distance between two points (x1,y1)(x_1, y_1)(x1​,y1​) and (x2,y2)(x_2, y_2)(x2​,y2​). The formula is d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}d=(x2​−x1​)2+(y2​−y1​)2​.

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Question: What is the area of a triangle?

Answer: The area of a triangle can be calculated using the formula A=12×base×heightA = \frac{1}{2} \times base \times heightA=21​×base×height.

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Question: How do you find the perimeter of a rectangle?

Answer: The perimeter of a rectangle is given by the formula $P=2\times (length+width)$.

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Question: What is a rational number?

Answer: A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. For example, 34\frac{3}{4}43​ is a rational number.

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Question: Define the term "prime number."

Answer: A prime number is a number greater than 1 that has no divisors other than 1 and itself. For example, 2, 3, 5, and 7 are prime numbers.

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Question: What is the concept of a linear equation?

Answer: A linear equation is an equation of the first degree, meaning that the variable has no exponent other than 1. It is of the form $ax+b=0$, where $a$ and $b$ are constants.

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

Answer: A pair of linear equations can be solved using the substitution method, elimination method, or matrix method to find the values of the variables.

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

Answer: The surface area of a cube is given by the formula A=6a2A = 6a^2A=6a2, where $a$ is the length of a side of the cube.

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

Answer: The mean of a data set is calculated by adding all the values together and then dividing by the number of values. The formula is Mean=∑XnMean = \frac{\sum X}{n}Mean=n∑X​, where $\sum X$ is the sum of all values and $n$ is the number of values.

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Question: What is the difference between permutation and combination?

Answer: A permutation is an arrangement of objects in a specific order, whereas a combination is a selection of objects without regard to the order.

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

Answer: The area of a trapezium is calculated using the formula A=12×(a+b)×hA = \frac{1}{2} \times (a + b) \times hA=21​×(a+b)×h, where $a$ and $b$ are the lengths of the parallel sides, and $h$ is the height.

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Question: What is a binomial expansion?

Answer: Binomial expansion refers to the expansion of expressions that are raised to a power, such as (a+b)n(a + b)^n(a+b)n. The binomial theorem gives a formula for expanding these expressions.

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Question: How do you find the value of sin⁡30∘\sin 30^\circsin30∘?

Answer: The value of sin⁡30∘\sin 30^\circsin30∘ is $0.5$.

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Question: How do you calculate the simple interest?

Answer: The simple interest is calculated using the formula I=P×R×T100I = \frac{P \times R \times T}{100}I=100P×R×T​, where $P$ is the principal, $R$ is the rate of interest, and $T$ is the time period.

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Question: What is the probability of an event?

Answer: The probability of an event is a measure of how likely it is to happen. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

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

Answer: The perimeter of a circle is also known as the circumference and is given by the formula $C=2\pi r$, where $r$ is the radius of the circle.

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Question: How do you find the volume of a cone?

Answer: The volume of a cone is calculated using the formula V=13πr2hV = \frac{1}{3} \pi r^2 hV=31​πr2h, where $r$ is the radius and $h$ is the height of the cone.

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Question: What is the difference between an acute angle and an obtuse angle?

Answer: An acute angle is less than 90 degrees, while an obtuse angle is greater than 90 degrees but less than 180 degrees.

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Question: How do you solve for $x$ in the equation $3x+5=11$?

Answer: To solve for $x$, subtract 5 from both sides to get $3x=6$, then divide both sides by 3 to get $x=2$

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