9th Maths Question Paper 2018 – Questions and Answers

This article aims to provide a comprehensive guide with questions and answers for the 9th-grade maths exam paper from 2018. It is designed to help students prepare efficiently and score well in their exams by practicing relevant topics and questions that have appeared in the previous year. Each question is followed by its answer, providing clarity and understanding of the concepts tested in the 9th-grade maths paper.

Question 1
Question: What is the formula for the area of a circle?
Answer: The formula for the area of a circle is πr², where r is the radius of the circle.

Question 2
Question: Simplify the expression 5x – 3 + 2x + 4.
Answer: The simplified expression is 7x + 1.

Question 3
Question: What is the Pythagorean Theorem?
Answer: The Pythagorean 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, i.e., a² + b² = c².

Question 4
Question: Solve for x: 2x + 3 = 9.
Answer: x = 3.

Question 5
Question: What is the perimeter of a rectangle with length 8 cm and breadth 5 cm?
Answer: The perimeter of the rectangle is 26 cm.

Question 6
Question: Define a rational number.
Answer: A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers, and the denominator is not zero.

Question 7
Question: What is the value of π (pi) up to two decimal places?
Answer: The value of π is approximately 3.14.

Question 8
Question: What is the distance formula in coordinate geometry?
Answer: The distance formula is √((x2 – x1)² + (y2 – y1)²), where (x1, y1) and (x2, y2) are the coordinates of two points.

Question 9
Question: Solve the equation: 4x – 5 = 11.
Answer: x = 4.

Question 10
Question: What is the slope of the line y = 2x + 3?
Answer: The slope of the line is 2.

Question 11
Question: Find the mean of the numbers 2, 4, 6, 8, and 10.
Answer: The mean is 6.

Question 12
Question: What is the volume of a cube with side length 4 cm?
Answer: The volume of the cube is 64 cubic cm.

Question 13
Question: What is the formula for the surface area of a sphere?
Answer: The formula for the surface area of a sphere is 4πr², where r is the radius.

Question 14
Question: Find the value of x in the equation 3x + 7 = 22.
Answer: x = 5.

Question 15
Question: What is the difference between a rational and an irrational number?
Answer: A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed in fraction form and has non-repeating, non-terminating decimal places.

Question 16
Question: What is the formula for the area of a triangle?
Answer: The formula for the area of a triangle is (1/2) × base × height.

Question 17
Question: Solve for y: 3y – 6 = 12.
Answer: y = 6.

Question 18
Question: What is the formula for the perimeter of a square?
Answer: The formula for the perimeter of a square is 4 × side length.

Question 19
Question: What is a prime number?
Answer: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Question 20
Question: Find the value of x in the equation 7x – 9 = 16.
Answer: x = 5.

Question 21
Question: How do you calculate the probability of an event?
Answer: The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Question 22
Question: Solve the equation 2x + 4 = 10.
Answer: x = 3.

Question 23
Question: What is the formula for the area of a parallelogram?
Answer: The area of a parallelogram is given by the formula base × height.

Question 24
Question: Simplify the expression 3(x + 5) – 2(x – 1).
Answer: The simplified expression is x + 17.

Question 25
Question: What is the definition of a quadratic equation?
Answer: A quadratic equation is an equation of the form ax² + bx + c = 0, where a, b, and c are constants, and x is the variable.

Question 26
Question: Find the value of x if 5x + 10 = 40.
Answer: x = 6.

Question 27
Question: What is the formula for the area of a trapezium?
Answer: The area of a trapezium is given by the formula (1/2) × (sum of the parallel sides) × height.

Question 28
Question: What is the formula for the volume of a cylinder?
Answer: The volume of a cylinder is πr²h, where r is the radius and h is the height.

Question 29
Question: Solve for x: 4(x + 2) = 24.
Answer: x = 4.

Question 30
Question: What is the difference between an acute angle and an obtuse angle?
Answer: An acute angle is less than 90°, while an obtuse angle is greater than 90° but less than 180°.

Question 31
Question: What is the formula for the circumference of a circle?
Answer: The circumference of a circle is 2πr, where r is the radius.

Question 32
Question: How do you find the mode of a set of numbers?
Answer: The mode is the number that appears most frequently in a set of numbers.

Question 33
Question: What is the sum of the interior angles of a triangle?
Answer: The sum of the interior angles of a triangle is 180°.

Question 34
Question: Solve for y: 2y – 8 = 18.
Answer: y = 13.

Question 35
Question: What is the formula for the surface area of a cylinder?
Answer: The surface area of a cylinder is 2πr(h + r), where r is the radius and h is the height.

Question 36
Question: What is a linear equation?
Answer: A linear equation is an equation that represents a straight line when plotted on a graph and has the form y = mx + b.

Question 37
Question: Find the perimeter of a triangle with sides 6 cm, 8 cm, and 10 cm.
Answer: The perimeter of the triangle is 24 cm.

Question 38
Question: What is the formula for the volume of a rectangular prism?
Answer: The volume of a rectangular prism is length × width × height.

Question 39
Question: Solve for x: 3(x – 2) = 12.
Answer: x = 6.

Question 40
Question: What is the formula for the area of a rhombus?
Answer: The area of a rhombus is (1/2) × (product of the diagonals).

Question 41
Question: What is the value of 2³?
Answer: The value of 2³ is 8.

Question 42
Question: How do you simplify the expression 4a + 3b – 2a + 5b?
Answer: The simplified expression is 2a + 8b.

Question 43
Question: What is the LCM of 12 and 18?
Answer: The LCM of 12 and 18 is 36.

Question 44
Question: What is the HCF of 16 and 24?
Answer: The HCF of 16 and 24 is 8.

Question 45
Question: Solve for z: 5z + 4 = 29.
Answer: z = 5.

Question 46
Question: What is the formula for the area of a sector of a circle?
Answer: The area of a sector is (θ/360) × πr², where θ is the central angle and r is the radius.

Question 47
Question: What is the sum of the first 10 natural numbers?
Answer: The sum is 55.

Question 48
Question: What is the square root of 144?
Answer: The square root of 144 is 12.

Question 49
Question: What is the difference between permutation and combination?
Answer: Permutation considers the order of objects, while combination does not.

Question 50
Question: Solve the equation: 4x – 7 = 21.
Answer: x = 7.

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This article provides a range of practice questions and answers for the 9th-grade maths exam, helping students prepare for the subject effectively. With regular practice of these problems, students can gain confidence in tackling different types of questions.