Madhyamik Math Question 2019 with Answers

Madhyamik Math 2019 exam questions test various mathematical concepts. This article provides a comprehensive set of questions and answers that are important for exam preparation. The goal is to help students understand the pattern and approach to answering questions effectively.

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Math Questions and Answers for Madhyamik 2019

Question: What is the value of x in the equation 2x + 5 = 15?

Answer:
x = 5.

Question: Solve for y: 3y – 7 = 11.

Answer:
y = 6.

Question: What is the area of a circle with a radius of 7 cm?

Answer:
Area = πr² = 3.14 × 7² = 153.86 cm².

Question: Find the volume of a cube with side length 4 cm.

Answer:
Volume = side³ = 4³ = 64 cm³.

Question: What is the square root of 81?

Answer:
The square root of 81 is 9.

Question: Solve the equation: 5x + 3 = 2x + 15.

Answer:
x = 4.

Question: Find the LCM of 12 and 18.

Answer:
LCM of 12 and 18 is 36.

Question: Simplify the expression: 5(3x + 2).

Answer:
15x + 10.

Question: What is the perimeter of a rectangle with length 10 cm and width 5 cm?

Answer:
Perimeter = 2(l + w) = 2(10 + 5) = 30 cm.

Question: Find the sum of the angles in a triangle.

Answer:
The sum of the angles in a triangle is 180°.

Question: What is the probability of rolling an even number on a six-sided die?

Answer:
The probability is 3/6 or 1/2.

Question: Calculate the compound interest on Rs. 5000 at 10% per annum for 2 years.

Answer:
Compound interest = P(1 + r/n)^(nt) – P.
CI = 5000(1 + 0.1/1)^(1×2) – 5000 = Rs. 1050.

Question: Find the median of the numbers 4, 6, 8, 10, 12.

Answer:
The median is 8.

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

Answer:
Area = 1/2 × base × height.

Question: If a train travels 60 km in 1 hour, what is its speed?

Answer:
Speed = distance/time = 60/1 = 60 km/h.

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

Answer:
A rational number can be expressed as a fraction, while an irrational number cannot.

Question: Solve for x: 2x² = 18.

Answer:
x = ±√9 = ±3.

Question: Find the cost of painting a wall of dimensions 12 m × 5 m at a rate of Rs. 15 per m².

Answer:
Cost = area × rate = 12 × 5 × 15 = Rs. 900.

Question: What is the distance between the points (1, 2) and (4, 6)?

Answer:
Distance = √((x₂ – x₁)² + (y₂ – y₁)²) = √((4-1)² + (6-2)²) = √(9 + 16) = √25 = 5.

Question: What is the mean of the numbers 5, 8, 12, 20?

Answer:
Mean = (5 + 8 + 12 + 20)/4 = 45/4 = 11.25.

Question: How do you convert a fraction into a percentage?

Answer:
Multiply the fraction by 100.

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

Answer:
Volume = πr²h.

Question: Calculate the simple interest on Rs. 1000 at 5% per annum for 3 years.

Answer:
Simple Interest = P × r × t/100 = 1000 × 5 × 3/100 = Rs. 150.

Question: Solve the equation: 3x + 4 = 7x – 6.

Answer:
x = 5.

Question: What is the ratio of 20 to 60?

Answer:
The ratio is 1:3.

Question: If a = 4 and b = 3, what is a² + b²?

Answer:
a² + b² = 16 + 9 = 25.

Question: What is the value of π?

Answer:
π ≈ 3.1416.

Question: Find the sum of the first 10 natural numbers.

Answer:
Sum = n(n + 1)/2 = 10(10 + 1)/2 = 55.

Question: What is the distance covered by a car moving at 60 km/h in 2.5 hours?

Answer:
Distance = speed × time = 60 × 2.5 = 150 km.

Preparing for the Madhyamik Math 2019 exam requires understanding various mathematical concepts and applying them accurately. This guide offers solutions for different types of questions commonly asked, allowing students to grasp key topics and practice solving them effectively. With enough practice, students will feel confident in tackling their exam.