Class 10 Maths Free Online Tests

Class 10 Math Simultaneous Equations Online Test – Udgam Welfare Foundation

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Marks Distribution

  • Theory: 80 Marks
  • Internal Assessment: 20 Marks
  • Total: 100 Marks

Units and Weightage

Unit No. Unit Name Marks
INumber Systems06
IIAlgebra20
IIICoordinate Geometry06
IVGeometry15
VTrigonometry12
VIMensuration10
VIIStatistics and Probability11

Detailed Chapter-wise Syllabus

1. Number Systems (06 Marks)

Euclid’s Division Lemma
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Fundamental Theorem of Arithmetic
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Revisiting Irrational Numbers
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Decimal Expansions of Rational Numbers
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2. Algebra (20 Marks)

Polynomials: Zeros of a polynomial
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Polynomials: Relationship between zeros and coefficients
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Pair of Linear Equations: Substitution, Elimination, Cross-Multiplication Methods
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Quadratic Equations: Standard form, Solutions
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Quadratic Equations: Discriminant and nature of roots
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Arithmetic Progressions: nth term and sum of first n terms
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3. Coordinate Geometry (06 Marks)

Distance Formula
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Section Formula (Internal Division)
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Area of Triangle using Coordinate Geometry
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4. Geometry (15 Marks)

Triangles: Similarity, Pythagoras Theorem
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Circles: Tangents and Properties
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5. Trigonometry (12 Marks)

Introduction to Trigonometry: Ratios and Identities
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Applications: Heights and Distances
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6. Mensuration (10 Marks)

Areas Related to Circles: Perimeter, Sector, Segment
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Surface Areas and Volumes: Solids Combinations
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7. Statistics and Probability (11 Marks)

Statistics: Mean, Median, Mode, Cumulative Frequency
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Probability: Classical Problems on Single Events
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