SCRIPT 2026 FULL QUESTIONS WITH
CORRECT ANSWERS
◉How do you find the center of a circle given any three points on the
circumference?. Answer: Find the equations of the perpendicular
bisectors of two different chords. Find the coordinates of the point of
intersection of the perpendicular bisectors.
◉What is the graph for real roots?. Answer: The regions outside the
graph are shaded, above the x-axis if the graph is positive, below if
it's negative. -2 > x & 2 < x
◉What is the graph for no real roots?. Answer: The regions inside
the graph are shaded, below the x-axis if the graph is positive, above
if it's negative. -2 < x < 2
◉Formula to rationalise 1/ square root (a). Answer: Multiply the
numerator and denominator by square root (a)
, ◉Formula to rationalise 1/a + square root (b). Answer: Multiply the
numerator and denominator by a - square root (a)
◉Formula to rationalise 1/a - square root (b). Answer: Multiply the
numerator and denominator by b + square root (a)
◉Coordinates of the turning point. Answer: Completing the square
formula: a(x+p)^2 + q, turning points = (-p,q)
◉Colour code for linear inequality number lines. Answer: Black
circles: less/greater than or equal to. White circles: less/greater than
◉Inequality for when the graph of y = f(x) is below the graph of g(x).
Answer: f(x) < g(x)
◉Inequality for when the graph y = f(x) is above the curve y = g(x).
Answer: f(x) > g(x)
◉Lines to represent inequalities on graphs. Answer: Dotted:
greater/less. Solid line: greater/less than or equal to
◉Equation of a cubic graph. Answer: y = (ax)^3 + (bx)^2 + cx + d