Class 10th Math Quiz

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Questions and Answers

What is the area of a rectangle with length 8 cm and width 5 cm?

  • 40 sq cm (correct)
  • 13 sq cm
  • 45 sq cm
  • 20 sq cm

What is the value of x in the equation 3x + 7 = 16?

  • 9
  • 5 (correct)
  • 6
  • 3

What is the value of 'pi' (Ï€) approximately equal to?

  • 3.00
  • 4.16
  • 2.71
  • 3.14 (correct)

What is the value of the discriminant in the quadratic equation 4x^2 + 3x + 7 = 0?

<p>-79 (B)</p> Signup and view all the answers

In a right-angled triangle, what is the relationship between the lengths of the sides a, b, and c, where c is the hypotenuse?

<p>a^2 + b^2 = c^2 (C)</p> Signup and view all the answers

What is the sum of the interior angles of a regular polygon with 10 sides?

<p>1440 degrees (D)</p> Signup and view all the answers

Flashcards

Area of a rectangle

The amount of space a two-dimensional shape covers. You can find it by multiplying the length and width for a rectangle.

Solving for a variable

The value of a variable that satisfies an equation. To find it, you need to solve for the variable.

Pi (Ï€)

A mathematical constant approximately equal to 3.14. It plays a crucial role in calculating the circumference and area of circles.

Discriminant (Quadratic Equation)

A value derived from a quadratic equation used to determine its nature of roots. It helps determine if the equation has real or imaginary solutions.

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Pythagorean Theorem

The relationship between the sides of a right-angled triangle, where the square of the hypotenuse equals the sum of the squares of the other two sides.

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Sum of Interior Angles (10-sided polygon)

The total measure of all interior angles of a polygon with 10 sides. To calculate it, use the formula (n-2) * 180 degrees, where 'n' is the number of sides.

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Study Notes

Area of a Rectangle

  • Area calculated by multiplying length and width.
  • For a rectangle with length 8 cm and width 5 cm, the area is 40 cm².

Solving the Equation

  • The equation 3x + 7 = 16 can be solved by isolating x.
  • Subtracting 7 from both sides gives 3x = 9.
  • Dividing by 3 results in x = 3.

Value of Pi (Ï€)

  • The mathematical constant pi (Ï€) is approximately equal to 3.14.
  • Pi represents the ratio of a circle's circumference to its diameter.

Discriminant in Quadratic Equations

  • The discriminant, denoted as D, determines the nature of the roots in the quadratic equation ax^2 + bx + c = 0.
  • For the equation 4x² + 3x + 7 = 0, the discriminant is calculated as D = b² - 4ac, which results in a negative value indicating no real roots.

Right-Angled Triangle Relationship

  • In a right-angled triangle, Pythagorean theorem states: a² + b² = c².
  • Here, 'c' represents the length of the hypotenuse, while 'a' and 'b' are the lengths of the other two sides.

Sum of Interior Angles of a Regular Polygon

  • The sum of the interior angles of a polygon is calculated using the formula (n - 2) × 180°, where n is the number of sides.
  • For a regular polygon with 10 sides, the sum of the interior angles is 1440°.

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