Class 10 Basic Maths 2023-2024 Pre Board Exam Questions

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Questions and Answers

What is the value of $3^4$?

  • 81
  • 64 (correct)
  • 16
  • 27

Simplify the expression: $5(7 + 3)$

  • $60$ (correct)
  • $50$
  • $35$
  • $25$

Which branch of mathematics focuses on the relationships between the angles and sides of triangles?

  • Statistics
  • Geometry
  • Trigonometry (correct)
  • Algebra

What is the value of $8^2 - 6 \times 4$?

<p>$22$ (C)</p> Signup and view all the answers

Which branch of mathematics deals with the study of formulas, equations, and operations involving letters (variables) and numbers?

<p>Algebra (C)</p> Signup and view all the answers

Which branch of mathematics has various applications in fields such as physics, engineering, and navigation?

<p>Trigonometry (B)</p> Signup and view all the answers

Which branch of mathematics is essential for solving problems, constructing proofs, and understanding more advanced mathematical concepts?

<p>Algebra (D)</p> Signup and view all the answers

Which branch of mathematics focuses on angles (acute, obtuse, and right angles) and trigonometric functions?

<p>Trigonometry (B)</p> Signup and view all the answers

Which key concept in algebra focuses on breaking down expressions into simpler forms?

<p>Factoring (A)</p> Signup and view all the answers

In geometry, which concept involves the study of the properties and relationships of points, lines, angles, and shapes?

<p>Proofs (B)</p> Signup and view all the answers

In statistics, which concept deals with making inferences about a population based on a sample of data?

<p>Inferential statistics (B)</p> Signup and view all the answers

Which algebraic concept involves the representation of real-world phenomena using mathematical models?

<p>Functions (D)</p> Signup and view all the answers

In geometry, which concept involves the study of the measurement of triangles, circles, and other shapes?

<p>Trigonometry (B)</p> Signup and view all the answers

Flashcards

What is 3^4?

The value of 3 raised to the power of 4 is 81.

What is 5(7 + 3)?

The simplified expression is 60.

What is Trigonometry?

This branch studies the relationships between angles and sides of triangles.

What is 8^2 - 6 x 4?

The value of the expression is 40.

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What is Algebra?

This branch uses letters and numbers in equations.

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What is Trigonometry?

This branch has applications like physics and engineering.

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What is Algebra?

This branch is essential for problem-solving and proofs.

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What is Trigonometry?

This branch studies acute, obtuse, and right angles.

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What is Factoring?

Breaking down mathematical expressions into simpler forms.

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What are Proofs?

The properties of points, lines, angles, and figures.

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What is Inferential statistics?

Drawing conclusions about a population from a sample.

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What are Functions?

Representing real-world events with math.

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What is Trigonometry?

The measurement of triangles, circles, etc.

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Study Notes

Exponents and Algebra

  • The value of $3^4$ is 81.
  • The expression $5(7 + 3)$ can be simplified to $5(10)$, which equals 50.

Branches of Mathematics

  • Trigonometry is the branch of mathematics that focuses on the relationships between the angles and sides of triangles.
  • Algebra is the branch of mathematics that deals with the study of formulas, equations, and operations involving letters (variables) and numbers.
  • Trigonometry has various applications in fields such as physics, engineering, and navigation.
  • Logic is the branch of mathematics that is essential for solving problems, constructing proofs, and understanding more advanced mathematical concepts.

Geometry and Trigonometry

  • Trigonometry focuses on angles (acute, obtuse, and right angles) and trigonometric functions.
  • In geometry, the concept of points, lines, angles, and shapes involves the study of their properties and relationships.

Algebra and Statistics

  • Factorization is the key concept in algebra that focuses on breaking down expressions into simpler forms.
  • In statistics, inference is the concept that deals with making inferences about a population based on a sample of data.
  • Mathematical modeling is the algebraic concept that involves the representation of real-world phenomena using mathematical models.

Geometry

  • Mensuration is the concept in geometry that involves the study of the measurement of triangles, circles, and other shapes.

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