Madhyamik Exam 2019 Math Question Paper with Answers

The Madhyamik Exam 2019 for Mathematics tested students on various concepts like algebra, geometry, arithmetic, and trigonometry. This article provides all types of important questions and their answers in an easy-to-understand format to help students grasp concepts and prepare better for their studies. The information is concise and practical.

Mathematics

Question What is the value of $2x+3=11$?

Answer $x=4$.

Question Solve $5x-7=18$.

Answer $x=5$.

Question Find the value of (2+3)2−4(2 + 3)^2 – 4(2+3)2−4.

Answer $21$.

Question If $a=3$ and $b=4$, find a2+b2a^2 + b^2a2+b2.

Answer $25$.

Question What is the area of a rectangle with length 8 cm and breadth 5 cm?

Answer 40 cm240 \, \text{cm}^240cm2.

Question Find the HCF of 24 and 36.

Answer $12$.

Question Solve $3x+5=20$.

Answer $x=5$.

Question What is the value of sin⁡30∘\sin 30^\circsin30∘?

Answer 12\frac{1}{2}21​.

Question Find the perimeter of a triangle with sides 3 cm, 4 cm, and 5 cm.

Answer $12\text{cm}$.

Question Evaluate $(4\times 5)+(6÷2)$.

Answer $23$.

Question If the radius of a circle is 7 cm, find its circumference ($\pi =22/7$).

Answer $44\text{cm}$.

Question Solve $7x-3=25$.

Answer $x=4$.

Question Expand (a+b)2(a + b)^2(a+b)2.

Answer a2+2ab+b2a^2 + 2ab + b^2a2+2ab+b2.

Question What is the slope of a line parallel to $y=3x+2$?

Answer $3$.

Question Calculate the simple interest on Rs. 2000 at 5% per annum for 2 years.

Answer Rs. 200.

Question Find the value of 909^090.

Answer $1$.

Question Convert 0.75 into a fraction.

Answer 34\frac{3}{4}43​.

Question What is the LCM of 12 and 15?

Answer $60$.

Question Write the quadratic formula.

Answer x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 – 4ac}}{2a}x=2a−b±b2−4ac​​.

Question Solve x2−4=0x^2 – 4 = 0x2−4=0.

Answer $x=\pm 2$.

Question Find the area of a triangle with base 10 cm and height 5 cm.

Answer 25 cm225 \, \text{cm}^225cm2.

Question Evaluate log⁡10(100)\log_{10}(100)log10​(100).

Answer $2$.

Question Calculate the volume of a cube with side length 3 cm.

Answer 27 cm327 \, \text{cm}^327cm3.

Question Simplify (2x)(3×2)(2x)(3x^2)(2x)(3x2).

Answer 6x36x^36x3.

Question Find the derivative of x2x^2x2.

Answer $2x$.

Question Integrate $2x$.

Answer x2+Cx^2 + Cx2+C.

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

Answer πr2\pi r^2πr2.

Question Solve $2x+4=0$.

Answer $x=-2$.

Question Calculate the median of the dataset: 3, 7, 8, 12, 14.

Answer $8$.

Question Find the value of cos⁡60∘\cos 60^\circcos60∘.

Answer 12\frac{1}{2}21​.

Question Write the formula for the volume of a cylinder.

Answer πr2h\pi r^2 hπr2h.

Question Factorize x2−9x^2 – 9x2−9.

Answer $(x-3)(x+3)$.

Question Solve $2x-5=9$.

Answer $x=7$.

Question If $x=2$, evaluate x3−3×2+2xx^3 – 3x^2 + 2xx3−3x2+2x.

Answer $2$.

Question Find the probability of getting a head when a coin is tossed.

Answer 12\frac{1}{2}21​.

Question Convert 45∘45^\circ45∘ into radians.

Answer π4\frac{\pi}{4}4π​.

Question What is the sum of angles in a triangle?

Answer 180∘180^\circ180∘.

Question Solve $4x+1=17$.

Answer $x=4$.

Question Find the slope of the line passing through points (2, 3) and (4, 7).

Answer $2$.

Question Write the equation of a circle with center (0, 0) and radius 5.

Answer x2+y2=25x^2 + y^2 = 25x2+y2=25.

Madhyamik Exam 2019 Mathematics questions covered important topics, focusing on students’ understanding of basic to advanced concepts. Solving these questions strengthens core mathematical skills and builds confidence for examinations. Consistent practice is key to success.