madhyamik exam 2019 math question paper

Madhyamik Exam 2019 mathematics is a crucial milestone for students in West Bengal. The paper tests essential concepts, problem-solving skills, and logical reasoning. Below are the questions from the 2019 Math question paper, along with clear and concise answers to help you prepare effectively and understand the concepts better.

Mathematics Questions and Answers

Question: What is the value of (25 × 25) – (24 × 26)?
Answer: The value is 1.

Question: Solve the equation 2x + 3 = 11.
Answer: The solution is x = 4.

Question: Find the area of a triangle with base 8 cm and height 5 cm.
Answer: The area is 20 cm².

Question: Solve the quadratic equation x² – 5x + 6 = 0.
Answer: The solutions are x = 2 and x = 3.

Question: Calculate the simple interest for a principal amount of ₹1000 at a rate of 5% per annum for 2 years.
Answer: The simple interest is ₹100.

Question: Find the HCF of 18 and 24.
Answer: The HCF is 6.

Question: Write the sum of the first five prime numbers.
Answer: The sum is 28.

Question: Evaluate the expression 3⁴ ÷ 3².
Answer: The value is 9.

Question: If the perimeter of a square is 20 cm, find its area.
Answer: The area is 25 cm².

Question: Simplify: (x + 3)(x – 2).
Answer: The simplified expression is x² + x – 6.

Question: Find the value of sin 30°.
Answer: The value is 0.5.

Question: Solve for y: 2y – 7 = 5.
Answer: The solution is y = 6.

Question: Calculate the volume of a cube with side length 4 cm.
Answer: The volume is 64 cm³.

Question: Convert 72 km/h to m/s.
Answer: The speed is 20 m/s.

Question: Determine the median of the data: 4, 8, 6, 2, 10.
Answer: The median is 6.

Question: Find the square root of 144.
Answer: The square root is 12.

Question: Express 0.75 as a fraction in its simplest form.
Answer: The fraction is 3/4.

Question: Solve the inequality: 3x + 2 < 11.
Answer: The solution is x < 3.

Question: Find the value of tan 45°.
Answer: The value is 1.

Question: If x = 2 and y = 3, evaluate 2x + 3y.
Answer: The value is 13.

Question: What is the perimeter of a rectangle with length 5 cm and breadth 3 cm?
Answer: The perimeter is 16 cm.

Question: Calculate the total surface area of a sphere with radius 7 cm.
Answer: The total surface area is 616 cm².

Question: Find the LCM of 4, 6, and 8.
Answer: The LCM is 24.

Question: If the cost of 5 pens is ₹50, find the cost of one pen.
Answer: The cost is ₹10.

Question: Simplify: 4x² – 2x + 3 + 5x² – x + 2.
Answer: The simplified expression is 9x² – 3x + 5.

Question: Solve for x: 3x – 4 = 2x + 1.
Answer: The solution is x = 5.

Question: Find the value of cos 60°.
Answer: The value is 0.5.

Question: Calculate the compound interest on ₹1000 at a rate of 5% per annum for 2 years.
Answer: The compound interest is ₹102.50.

Question: What is the value of 2³ × 2²?
Answer: The value is 32.

Question: Determine the mode of the data: 2, 4, 4, 5, 6, 6, 6.
Answer: The mode is 6.

Question: Find the length of the diagonal of a rectangle with length 3 cm and breadth 4 cm.
Answer: The diagonal is 5 cm.

Question: Solve for x: x² = 49.
Answer: The solutions are x = 7 and x = -7.

Question: Express 15% as a fraction.
Answer: The fraction is 3/20.

Question: Convert 3/4 into a decimal.
Answer: The decimal is 0.75.

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

Question: If the radius of a circle is 7 cm, find its circumference.
Answer: The circumference is 44 cm.

Question: Solve for z: 5z + 10 = 0.
Answer: The solution is z = -2.

Question: Write the reciprocal of 3/5.
Answer: The reciprocal is 5/3.

Question: If a = 3 and b = 4, find the value of a² + b².
Answer: The value is 25.

Question: Calculate the area of a rectangle with length 10 m and breadth 6 m.
Answer: The area is 60 m².

Question: If 5x = 15, find the value of x.
Answer: The value is x = 3.

Question: What is the value of √64?
Answer: The value is 8.