Mathematics Village Presents Test Series

Smart Chapter-Wise Test Series

Learn → Practice → Apply → Analyze → Improve → Excel → Evaluate

For Classes 6th to 10th | Mathematics & Science

“Practice Smarter, Score Higher”
“From Basics to Olympiad Level”
“Every Chapter. Every Concept. Every Question Type.”

Welcome to the future of smart learning.

At Mathematics Village, we believe that success in Mathematics and Science is not achieved through random practice alone. Real success comes from a structured learning system that helps students build concepts, apply knowledge, develop reasoning, and confidently face examinations.

Our Smart Chapter-Wise Test Series is designed as a complete academic success program for students of Classes 6th to 10th. It combines concept learning, regular practice, performance tracking, board preparation, and Olympiad-level thinking into one powerful system.

Whether a student wants to improve basics, score higher in school exams, prepare for CBSE boards, or develop competitive-level problem-solving skills, this test series provides the perfect roadmap.

Why This Test Series Is Different

Most online tests only check answers.

Our system helps students:

✅ Learn Concepts
✅ Practice Topic-wise Questions
✅ Apply Concepts in Real Situations
✅ Develop Higher-Order Thinking Skills
✅ Analyze Performance
✅ Improve Weak Areas
✅ Build Exam Confidence

This is not just a test series.

It is a complete Learning + Practice + Evaluation Ecosystem specially designed for CBSE students.

Courses Available

📘 Mathematics Test Series
🔬 Science Test Series
👉 NCERT Concepts
👉 Physics
👉 CBSE Pattern Questions
👉 Chemistry
👉 HOTS Questions
👉 Biology
👉 Olympiad Practice
👉 Concept-Based MCQs
👉 Assertion–Reason Questions
👉 Application-Based Questions
👉 Case Studies
👉 HOTS & Olympiad Practice
👉 Previous Year Questions
👉 CBSE Exam Preparation
👉 Full Chapter Tests
👉 👉Chapter-wise Assessments

Two Powerful Learning Tracks

🔵 Basic Series
🔴 Advanced Series
✦ Concept clarity
🔥 High achievers
✦ School examination preparation
🔥 Olympiad aspirants
✦ Strengthening weak topics
🔥 NTSE/Foundation preparation
✦ Regular revision
🔥 Students aiming for 90%+ marks
✦ Building confidence
🔥 Competitive thinking development

Includes:
Includes:
➤ Basic to Moderate MCQs
⚡ HOTS Questions
➤ Topic-wise Practice
⚡ Olympiad-Level Practice
➤ Chapter Tests
⚡ Multi-Step Reasoning Problems
➤ NCERT-based Questions
⚡ Advanced Chapter Tests
➤ Concept Reinforcement
⚡ Deep Conceptual Learning

Build Strong Foundations

Students begin with carefully structured concept-building exercises.

Includes:

✔ Topic-wise MCQs
✔ Concept Clarity Practice
✔ Basic to Moderate Questions
✔ Google Form Topic Tests
✔ Weak Area Identification

Goal:

Develop strong conceptual understanding.

📱 Fully Online System
       Students can attempt tests anytime using mobile, tablet, or computer.
📊 Instant Performance Analysis
       Immediate scores help students understand their strengths and weaknesses.
🎯 Smart Practice System
       Regular practice improves speed, accuracy, and confidence.
📚 Structured Learning Path
       Students progress systematically from basics to advanced levels.
🧠 Concept-Focused Preparation
       Focus on understanding rather than rote learning.

Why Students Love This Program

⭐ Easy-to-understand structure
⭐ Regular chapter-wise practice
⭐ Helps reduce exam fear
⭐ Builds confidence gradually
⭐ Encourages self-analysis
⭐ Improves problem-solving ability
⭐ Perfect blend of school + competitive preparation

Our Vision

At Mathematics Village, our goal is to make quality Mathematics and Science preparation accessible, structured, and result-oriented for every student.

We believe that: “Consistent Practice + Smart Analysis = Excellent Results”

🧠 Complete 4-Phase Learning System

🔵 LEARN 🟡 APPLY 🔴 EXCEL 🟣 EVALUATE

PSEB Math Paper Set 1 2015

PSEB Class-X

Mathematics paper 2015 Set-A

Time allowed: Three Hours Maximum marks-50

1) If = = then what will be the solution of pair of linear equation? 1

a) Write the common difference of Arithmetic progression 3,1,-1,-3…... 1

b)` Fill in the blanks(?) if DADE~DABC then = 1

c) What is the value of ? 1

d) Write the formula to find the volume of cuboid? 1

2) Find the HCF and LCM of 15,12 and 21 using the factorization method. 2

3) Divide 2x²+7x-1 by x+4. 2

4) Find the roots of quadratic equation 6x²-x-2=0 2

5) Which term of the A.P.: 2,7,12,17…….is 77? 2

Find the sum of first 22 terms of the A.P.: 9,4,-1,….

6) ABC is an isosceles triangle , right angled at C. Prove that AB²=2AC². 2

Or
Prove that the tangents drawn at the ends of a diameter PQ of a circle are parallel. 2

7) Draw a line segment of length 7.4 cm and divide it in the ratio 5:8. 2

Construct a triangle similar to a given triangle XYZ with its side equal to of the corresponding sides of the triangle XYZ. 2

8) A box contains 5 red marbles,8 white marbles and 4 green marbles.One marble is taken out of the box at random. What is the probability that the marble taken out will be

i) red?

ii) white?

iii) not green? 2

9) Find all possible solutions of the following pair of linear equations:

5x+6y=16 and 2x-2y=2 3

10) A ladder 5 m long reaches a window 4 m above the ground .Find the distance of the foot of the ladder from the base of the wall. 3

11) If A(-4,-5),B(-1,-6),C(4,5) and D(-5,7) are the vertices of a quadrilateral ABCD, then find the area of the quadrilateral. 3

Find the coordinates of the point which divides the join of the line segment of the points(-3,5) and (2,-5) in the ratio 2:3. 3

12) Prove that = 3

13) An observer 1.5 m tall away from the chimney. The angle of elevation of the top of chimney from eyes is 45.Find the height of the chimney. 3

14) From each corner of a square of side 12 cm a quadrant of a circle of radius 3 cm is cut and also a circle of diameter 6 cm is cut as shown in the adjacent fig. Find the area of remaining portion of the square. 3

15) The table below shows the daily expenditure on food of 25 households in a locality.

Daily expenditure	100-150	150-200	200-250	250-300	300-350
Number of households	4	5	12	2	3

Find the mean daily expenditure on food by a suitable method. 3

The distribution below gives the weight of 30 students of a class. Find the median weight of the students. 3

Weight(in Kg)	45-50	50-55	55-60	60-65	65-70	70-75	75-80
Number of Students	2	3	8	6	6	3	2

16) Prove that in a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the opposite the first side is a right angle 5

Two tangents AB and AC are drawn to a circle with centre O from the external point A .Prove thatÐBAC=2ÐOBC 5

17) A metallic sphere of radius 2.1 cm is melted and recast into the shape of a cylinder of radius 3 cm. Find the height of the cylinder. 5

A drinking glass is in the shape of a frustum of a cone of height 14 cm.The diameters of two circular ends are 36 cm and 30 cm.Find the capacity of the glass.5