9th class question paper 2018 maths – Questions and Answers

The 9th class mathematics exam from 2018 includes a variety of questions that help students test their understanding of important concepts. By practicing these questions, students can improve their skills and perform better in exams. This article provides detailed questions and answers for better preparation.

Mathematics Questions and Answers

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.

Question: What is the formula for the area of a triangle?
Answer: The formula for the area of a triangle is 12×base×height\frac{1}{2} \times \text{base} \times \text{height}21​×base×height.

Question: Define the term ‘ratio’.
Answer: A ratio is a comparison of two quantities expressed in the same units, showing how many times one value is compared to another.

Question: What is the difference between mean, median, and mode?
Answer: Mean is the average of a set of numbers, median is the middle value, and mode is the value that appears most frequently.

Question: How do you calculate the perimeter of a rectangle?
Answer: The perimeter of a rectangle is calculated using the formula $2\times (\text{length}+\text{breadth})$.

Question: What is the formula for the volume of a cylinder?
Answer: The formula for the volume of a cylinder is πr2h\pi r^2 hπr2h, where $r$ is the radius and $h$ is the height.

Question: What are parallel lines?
Answer: Parallel lines are lines in a plane that never meet, no matter how far they are extended.

Question: Explain the concept of integers.
Answer: Integers are whole numbers that can be either positive, negative, or zero.

Question: What is an arithmetic progression (AP)?
Answer: An arithmetic progression is a sequence of numbers in which the difference between consecutive terms is constant.

Question: How do you calculate the area of a circle?
Answer: The area of a circle is calculated using the formula πr2\pi r^2πr2, where $r$ is the radius of the circle.

Question: Define probability.
Answer: Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1.

Question: What is the relationship between the sides of a right triangle?
Answer: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Question: What is a perfect square?
Answer: A perfect square is a number that is the square of an integer.

Question: How do you find the LCM (Least Common Multiple) of two numbers?
Answer: To find the LCM of two numbers, list the multiples of each number and choose the smallest multiple that is common to both.

Question: What is a factor?
Answer: A factor is a number that divides another number exactly, leaving no remainder.

Question: What is the formula for the surface area of a cube?
Answer: The surface area of a cube is calculated using the formula 6a26a^26a2, where $a$ is the length of an edge.

Question: What is a prime number?
Answer: A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.

Question: What are the properties of a parallelogram?
Answer: A parallelogram has opposite sides that are equal and parallel, and opposite angles that are equal.

Question: Define the term ‘ratio’.
Answer: A ratio is a way of comparing two quantities, showing how many times one value contains the other.

Question: What is the volume of a cube?
Answer: The volume of a cube is calculated using the formula a3a^3a3, where $a$ is the length of one side of the cube.

Question: How do you calculate the area of a square?
Answer: The area of a square is calculated by squaring the length of one of its sides.

Question: What is a coordinate plane?
Answer: A coordinate plane is a two-dimensional surface where points are located using pairs of numbers (x, y).

Question: What is the difference between a bar graph and a histogram?
Answer: A bar graph displays data using rectangular bars, whereas a histogram is used to represent frequency distributions of continuous data.

Question: How do you solve a linear equation?
Answer: To solve a linear equation, isolate the variable on one side of the equation by performing inverse operations.

Question: What is the circumference of a circle?
Answer: The circumference of a circle is calculated using the formula $2\pi r$, where $r$ is the radius.

Question: How do you calculate the area of a trapezium?
Answer: The area of a trapezium is calculated using the formula 12×(a+b)×h\frac{1}{2} \times (a + b) \times h21​×(a+b)×h, where $a$ and $b$ are the lengths of the parallel sides, and $h$ is the height.

Question: Define the term ‘compound interest’.
Answer: Compound interest is interest calculated on both the initial principal and the accumulated interest from previous periods.

Question: What is the probability of an event?
Answer: The probability of an event is the ratio of favorable outcomes to the total possible outcomes.

Question: What is a cubic equation?
Answer: A cubic equation is a polynomial equation of degree 3, where the highest exponent of the variable is 3.

Question: How do you find the median of a set of numbers?
Answer: To find the median, arrange the numbers in ascending order and select the middle number. If there is an even number of numbers, the median is the average of the two middle numbers.

Question: What is a reflection in geometry?
Answer: A reflection is a transformation that flips a figure over a line, creating a mirror image.

Question: Define the term ‘sine’ in trigonometry.
Answer: In trigonometry, sine is the ratio of the length of the opposite side to the hypotenuse in a right-angled triangle.

Question: What is a circle’s radius?
Answer: The radius of a circle is the distance from the center of the circle to any point on its circumference.

Question: What is a decimal?
Answer: A decimal is a number expressed in the base-10 system, with a point separating the whole number from the fractional part.

Question: What is the difference between a square and a rectangle?
Answer: A square has all four sides of equal length, while a rectangle has opposite sides equal in length.

Question: What is the formula for the area of a parallelogram?
Answer: The area of a parallelogram is calculated using the formula $\text{base}\times \text{height}$.

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: What is the perimeter of a circle called?
Answer: The perimeter of a circle is called the circumference.

Question: How do you solve a quadratic equation?
Answer: A quadratic equation can be solved using factoring, completing the square, or the quadratic formula.

Question: What is a vertex in geometry?
Answer: A vertex is a point where two or more lines meet, such as the corners of a polygon.

Question: What is an angle?
Answer: An angle is formed when two rays or lines meet at a common point, called the vertex.

Question: What is the formula for the area of a rectangle?
Answer: The area of a rectangle is calculated using the formula $\text{length}\times \text{breadth}$.

Question: Define a fraction.
Answer: A fraction represents a part of a whole, expressed as a ratio of two numbers (numerator/denominator).

By practicing these questions, students can become more confident in their mathematical skills. The more you practice, the better you will understand the concepts and excel in exams. Always ensure that you understand the basics and apply the formulas correctly for solving problems.