Math Quiz for 9th-12th Grades

Youth Academy

• The Youth Academy is run by Usama Khalid Kamboh and provides guess papers, notes, and test series for students.
• The academy is located in Shakhkot and offers online support programs for 9th, 10th, 11th, and 12th-grade students.
• The academy has a YouTube channel and provides paid services for students.

Math Concepts

• MCQs
  • Encircle the correct option for each question.
  • Questions cover various math concepts, including algebra, geometry, trigonometry, and more.
• Objective Type
  • Questions cover topics such as linear inequalities, quadratic equations, and functions.
  • Each question has four options, and the correct answer is marked with a symbol.

Math Topics

• Linear Inequalities
  • Concepts include graphical representation, solution region, and linear programming.
  • Inequalities can be represented on a graph, and the solution region can be found by shading the correct area.
• Quadratic Equations
  • Concepts include quadratic formula, roots, and graphs of quadratic equations.
  • Quadratic equations can be solved using the quadratic formula, and their graphs can be sketched.
• Functions
  • Concepts include domain, range, and composite functions.
  • Functions can be represented algebraically, and their domains and ranges can be found.
• Trigonometry
  • Concepts include trigonometric identities, equations, and graphs of trigonometric functions.
  • Trigonometric identities can be used to solve equations, and graphs of trigonometric functions can be sketched.
• Geometry
  • Concepts include points, lines, and circles.
  • Circles can be represented algebraically, and their centers, radii, and equations can be found.

Test Series

• 120 Question Test
  • Covers various math concepts, including algebra, geometry, trigonometry, and more.
  • Each question has four options, and the correct answer is marked with a symbol.

Contact Information

• WhatsApp: 0342-1016201, 0347-2782177
• YouTube Channel: Youth Academy### Circles
• The equation of a circle is x² + y² = r²
• The centre of a circle in the form x² + y² + 2gx + 2fy + c = 0 is (-g, -f)

Vectors

• A vector whose magnitude is unity is called a unit vector

Linear Equations

• ax + b = 0 is a linear equation
• The line joining the centre of a circle to the midpoint of a chord is perpendicular to the chord

Functions

• A function f is said to be even if f(-x) = f(x)

Optimization

• To find the optimal solution, we evaluate the objective function at the boundary points
• The procedure for determining the optimal solution for a problem involving linear constraints is called the graphical method

Trigonometry

• The equation of a line passing through (-8, 5) having an undefined slope is x = -8
• If y = sin(2x), then y' = 2cos(2x)

Inequalities

• x = 5 is the solution of the inequality 2x - 3 > 0

Ellipse

• The eccentricity of an ellipse is a value between 0 and 1
• The equation of an ellipse can be written in the form x²/a² + y²/b² = 1

Matrices

• The value of [k i j] is 1

Hyperbola

• The eccentricity of a hyperbola is greater than 1