Written Paper
Section I
Question 1 - 2010 HSC
Use basic arithmetic and algebra. Determine the equation of a circle. Find the derivative of a function. Find the limiting sum of a geometric series. Determine the domain of a function.
Written Paper
Section I
Question 4 - 2010 HSC
Find a term and a sum of an arithmetic series. Find the area between two curves. Calculate probabilities. Prove a relationship expressed in function notation.
Written Paper
Section I
Question 4 - 2002 HSC
Solve and graph an absolute value inequation. Solve a simple trigonometric equation for a specified range. Calculate the length of a side and the area of a given triangle. Show that a given pair of coordinates represents the point of intersection of two curves. Find the size of the shaded area bounded by the two curves.
Written Paper
Section I
Question 5 - 2001 HSC
State the domain and range of a given function. Solve numerical problems involving logarithms. Find the length of the radius of a given sector. Calculate the area of a given cross-section using the trapezoidal rule, and the approximate volume of water that flows past this section.
Written Paper
Section I
Question 6 - 2002 HSC
Sketch a function representing a semi-circle and state the range of the function. Given the gradient function of a curve, determine the equation of the curve. Sketch the curve, labelling turning points and the y-intercept. Determine for what values of the independent variable x the curve is concave up. Calculate the volume of a container formed by rotating part of a given curve.
