Practice MCQs

Explanation: The sum of interior angles of any quadrilateral is 360°. Formula: (n-2) × 180° where n = number of sides. (4-2) × 180° = 360°.

Explanation: A hexagon has 6 sides. Common shapes: triangle (3), quadrilateral (4), pentagon (5), hexagon (6), heptagon (7), octagon (8).

Explanation: The volume of a cube with side a is V = a³. The surface area of the same cube is 6a².

Explanation: The Pythagorean Theorem states: c² = a² + b², so c = ?(a² + b²). This applies only to right-angled triangles.

Explanation: The area of a circle is A = ?r², where r is the radius. The circumference (perimeter) is 2?r. These are fundamental circle formulae.

Explanation: log??(1000) = log??(10³) = 3. Logarithm is the inverse of exponentiation: 10³ = 1000, so log??(1000) = 3.

Explanation: The discriminant of a quadratic ax² + bx + c is D = b² - 4ac. If D > 0, two real roots; D = 0, one repeated root; D < 0, no real roots.

Explanation: Polynomials are named by degree: degree 1 = linear, degree 2 = quadratic, degree 3 = cubic, degree 4 = quartic, degree 5 = quintic.

Explanation: A quadratic equation has the form ax² + bx + c = 0. y = x² + 4x + 4 is quadratic (highest power is 2). Linear has power 1; cubic has power 3.

Explanation: 2x + 3 = 11 ? 2x = 11 - 3 ? 2x = 8 ? x = 4. Always subtract constants from both sides first, then divide.