Sample Paper Class 10 Maths Basic with Solution
Class 10 Maths Basic is an important subject that lays the foundation for further studies in mathematics and other related fields. Preparing for the board exams can be a challenging task, but with the right resources, students can achieve success. One of the most helpful resources for effective preparation is the Sample Paper Class 10 Maths. In this article, we will discuss a Class 10 Maths Basic sample paper with solutions, and how it can benefit your exam preparation.
Why Sample Papers Are Important for Class 10 Maths Basic?
Sample Paper Class 10 Maths are practice tests that resemble the actual board exam pattern. They provide students with a clear idea of what to expect in terms of question format, difficulty level, and time management. For students following the Mathematics Basic syllabus, practicing sample papers helps in:
- Understanding exam patterns: Sample papers closely follow the pattern and marking scheme of the final board exam.
- Improving time management: By solving these papers within the allotted time, students learn how to manage time during the actual exam.
- Identifying important topics: Sample papers help in highlighting the frequently asked topics and important sections.
- Boosting confidence: Regular practice builds confidence and reduces exam anxiety.
Sample Paper Class 10 Maths Basic
Here is a sample paper Class 10 Maths Basic for Students:
Section A: Multiple Choice Questions (MCQs)
- Which of the following is a linear equation?
a) 3x + 4 = 0
b) x² + 4 = 0
c) 2x³ + 5x = 0
d) x + 4x² = 0 Answer: a) 3x + 4 = 0 - If the quadratic equation x² – 5x + 6 = 0 has roots p and q, then the value of p + q is:
a) 5
b) 6
c) -5
d) -6 Answer: a) 5
Section B: Short Answer Questions
- Find the value of x if 2x + 5 = 17. Solution:
2x + 5 = 17
2x = 17 – 5
2x = 12
x = 12 / 2
x = 6 - Find the area of a triangle whose base is 10 cm and height is 12 cm. Solution:
Area of triangle = ½ × base × height
= ½ × 10 × 12
= 60 cm²
Section C: Long Answer Questions
- A shopkeeper sells an item for Rs 150, gaining 20% profit. Find the cost price of the item. Solution:
Let the cost price be x.
Selling price = Cost price + Profit
Selling price = x + 20% of x = x + 0.2x = 1.2x
Given, selling price = Rs 150.
Therefore,
1.2x = 150
x = 150 / 1.2
x = Rs 125 - The heights of two cones are in the ratio 2:3, and their radii are in the ratio 3:4. Find the ratio of their volumes. Solution:
The volume of a cone is given by:
Volume = (1/3)πr²h, where r is the radius and h is the height.
The ratio of the volumes of two cones = (r₁² * h₁) / (r₂² * h₂)
Given, the ratio of the radii is 3:4, and the ratio of the heights is 2:3.
So,
Volume ratio = (3² * 2) / (4² * 3)
= (9 * 2) / (16 * 3)
= 18 / 48
= 3:8
Tips for Solving Class 10 Maths Basic Sample Papers
- Solve regularly: Try to solve one sample paper daily or weekly to track your progress.
- Review your mistakes: After completing a paper, thoroughly review your errors and correct them.
- Time yourself: Use a timer while solving sample papers to practice time management.
- Focus on weak areas: Identify your weak points and dedicate more time to those topics.
- Stay calm: Remember, practice leads to improvement. Stay calm and confident.
Bottom Line
Sample papers for Class 10 Maths Basic play a crucial role in exam preparation. They help students get familiar with the exam format, manage their time efficiently, and identify the important topics. By solving these papers with solutions, students can assess their readiness and boost their confidence. Regular practice and revision of concepts are the keys to scoring well in the board exam.
