Top 50 Mathematics GK Questions With Answers For Class 10 Students

Mathematics can feel like a puzzle to solve, and every student has their unique strengths and challenges. If you’re preparing for your exams or just brushing up your general knowledge (GK), we’ve got your back. This list of Top 50 Mathematics GK Questions is perfect for Class 10 students who want to practice, learn, and stay confident in their understanding of numbers, geometry, algebra, and more.

This blog will tackle 50 carefully selected math GK questions covering diverse topics. Each question is accompanied by an answer, ensuring this resource is easy to follow and highly effective. Whether you’re gearing up for a competitive exam, a classroom quiz, or just want to challenge yourself, these questions are a great way to refresh and strengthen your mathematical skills.

Why Mastering Mathematics GK Matters

Mathematics plays a crucial role in academic success and real-life problem-solving. It helps in:

• Building logical thinking and analytical skills.
• Preparing for competitive exams and school quizzes.
• Boosting confidence in tackling academic challenges.
• Developing an appreciation for how numbers influence the world around us.

And remember, persevering through math challenges only makes you stronger. Each solved question is a triumph in its own right. Now, let’s start solving!

Algebra GK Questions And Answers  

What is the value of “x” in \( 2x + 5 = 15 \)? 
Answer: \( x = 5 \)
If \( x = 3 \), evaluate \( x^2 + 2x + 5 \). 
Answer: 20
What do you call an equation of the form \( ax^2 + bx + c = 0 \)? 
Answer: Quadratic Equation
What is the cube of (-2)? 
Answer: -8
Simplify \( (a + b)^2 \). 
Answer: \( a^2 + 2ab + b^2 \)
If \( y = x + 3 \) and \( x = 7 \), what is \( y \)? 
Answer: \( y = 10 \)
What is the solution for \( 4x – 7 = 9 \)? 
Answer: \( x = 4 \)
The sum of three consecutive integers is 72. What are the integers? 
Answer: 23, 24, and 25
What is the value of \( 3x + 2x = 20 \)? 
Answer: x = 4
Simplify \( 5x – 3x + 7 \). 
Answer: \( 2x + 7 \)

Geometry GK Questions And Answers 

What is the sum of the interior angles of a triangle? 
Answer: 180°
What is the value of each interior angle in a regular hexagon? 
Answer: 120°
Define a right angle. 
Answer: An angle of 90°
What is the formula for the area of a circle? 
Answer: \( \pi r^2 \), where \( r \) is the radius
How many sides does a pentagon have? 
Answer: 5
What is the perimeter of a rectangle with length = 10 cm and breadth = 5 cm? 
Answer: \( 2(l + b) = 30 \, \text{cm} \)
What is the volume of a cube with a side of 7 cm? 
Answer: \( 7^3 = 343 \, \text{cm}^3 \)
Write the Pythagoras theorem. 
Answer: \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse
How many faces does a cube have? 
Answer: 6
What is the formula for the area of a triangle? 
Answer: \( \text{(Base × Height)/2} \)

Trigonometry GK Questions And Answers 

What is sin⁡2θ+cos⁡2θ\sin^2\theta + \cos^2\thetasin2θ+cos2θ?
Answer: 1
What is tan⁡θ\tan\thetatanθ in terms of sin⁡θ\sin\thetasinθ and cos⁡θ\cos\thetacosθ?
Answer: sin⁡θcos⁡θ\frac{\sin\theta}{\cos\theta}cosθsinθ​
What is the value of sin⁡90∘\sin 90^\circsin90∘?
Answer: 1
What is the reciprocal of sin⁡θ\sin\thetasinθ?
Answer: csc⁡θ\csc\thetacscθ
What is the value of tan⁡45∘\tan 45^\circtan45∘?
Answer: 1
What is the hypotenuse of a triangle if the base is 3 and perpendicular is 4?
Answer: 5
What is the value of cos⁡0∘\cos 0^\circcos0∘?
Answer: 1
What is the range of sine and cosine functions?
Answer: [−1,1][-1, 1][−1,1]
Simplify cot⁡θ⋅tan⁡θ\cot\theta \cdot \tan\thetacotθ⋅tanθ.
Answer: 1
What is sin⁡2θ\sin 2\thetasin2θ in terms of sin⁡θ\sin\thetasinθ and cos⁡θ\cos\thetacosθ?
Answer: 2sin⁡θcos⁡θ2\sin\theta\cos\theta2sinθcosθ

Probability & Statistics GK Questions And Answers

What is the probability of getting a head when a coin is tossed?
Answer: 12\frac{1}{2}21​
What is the mean of the numbers 5, 10, and 15?
Answer: 10
What is the median of the numbers 4, 8, and 12?
Answer: 8
What is the mode of the numbers 2, 3, 3, 4, and 5?
Answer: 3
What is the formula for the range of a data set?
Answer: Maximum value – Minimum value
What is the probability of rolling a 6 on a standard die?
Answer: 16\frac{1}{6}61​
What is the formula for calculating the variance of a data set?
Answer: Variance=∑(xi−xˉ)2n\text{Variance} = \frac{\sum (x_i – \bar{x})^2}{n}Variance=n∑(xi​−xˉ)2​
If the probability of an event is 0, what does it mean?
Answer: The event is impossible.
What is the formula for calculating the standard deviation?
Answer: Variance\sqrt{\text{Variance}}Variance​
What is the probability of drawing a red card from a standard deck of cards?
Answer: 12\frac{1}{2}21​

Miscellaneous GK Questions And Answers

Convert 0.75 into a fraction. 
Answer: 3/4
What is the sum of angles in a pentagon? 
Answer: 540°
What is the derivative of \( x^2 \)? 
Answer: \( 2x \)
Which mathematician is known as the “Father of Geometry”? 
Answer: Euclid
What is \( 10% \) of 250? 
Answer: 25
How many degrees are there in a full circle? 
Answer: 360°
Simplify \( 15 ÷ 3 × 2 \). 
Answer: 10
Solve for x if \( x/5 = 8 \). 
Answer: \( x = 40 \)
What is the smallest prime number? 
Answer: 2
What is the average of 6, 8, 10? 
Answer: \( (6 + 8 + 10)/3 = 8 \)

Build Confidence, One Question at a Time

Mathematics is all about practice and persistence. The more you challenge yourself, the stronger your skills become. Whether the questions seemed easy or hard, every attempt builds your confidence. Celebrate your progress—it’s a step closer to mastering this fascinating subject.

If you want to push your skills further, bookmark this blog or share GKGSinHindi Com with your classmates and friends. Keep growing, and always believe in your ability to learn and excel.