NSW · NESAQ&A
Maths Standard 2Q&A by dot point
A short Q&A bank for every NSW Maths Standard 2 syllabus dot point. Each question and answer is drawn directly from our worked dot-point page, so you can scan key concepts before opening the long-form answer.
Year 12: Algebra
- Model practical problems with linear cost and revenue functions and find the break-even point9Q&A pairs
- Compare linear and non-linear models of real-world data and select the most appropriate model8Q&A pairs
- Model practical problems with exponential functions of the form and interpret growth, decay and asymptotes9Q&A pairs
- Model practical situations with quadratic functions and find maximum or minimum values, intercepts and zeros10Q&A pairs
- Model practical problems involving reciprocal functions and inverse variation of the form11Q&A pairs
- Solve a pair of simultaneous linear equations graphically and algebraically, and use simultaneous equations to model practical situations11Q&A pairs
Year 12: Financial Mathematics
- Use the future value formula for an annuity to find the accumulated value of regular contributions to superannuation or a savings plan12Q&A pairs
- Use the compound interest formula to find future values, present values, interest rates and time periods for investments13Q&A pairs
- Calculate credit card interest using daily compounding, identify the interest-free period and the minimum monthly repayment12Q&A pairs
- Use the Consumer Price Index to calculate inflation rates and compare real and nominal values over time13Q&A pairs
- Use recurrence relations and amortisation tables to calculate loan repayments, outstanding balances and the total interest paid on a reducing-balance loan12Q&A pairs
- Calculate dividend yield, dividend payout, capital gain and total return on share investments13Q&A pairs
- Use the straight-line and declining-balance methods to calculate the value of a depreciating asset over time10Q&A pairs
Year 12: Measurement
- Use the formula to find the area of any triangle given two sides and the included angle9Q&A pairs
- Use the cosine rule to find a side given two sides and the included angle, or an angle given three sides11Q&A pairs
- Use compass and true bearings, and radial surveys, to solve practical navigation and surveying problems11Q&A pairs
- Use rates and unit conversions to solve practical problems including fuel consumption, dosage, power consumption and energy efficiency13Q&A pairs
- Use ratios and scale drawings to interpret maps and plans, and use the trapezoidal rule to estimate the area of an irregular region13Q&A pairs
- Use the sine rule to find unknown sides and angles in non-right-angled triangles, including the ambiguous case10Q&A pairs
Year 12: Networks
- Construct an activity network from a precedence table, identify the critical path and find the minimum project duration12Q&A pairs
- Perform forward and backward scanning to find earliest start, latest start, earliest finish, latest finish times and float for each activity11Q&A pairs
- Find a minimum spanning tree for a weighted graph using Prim's or Kruskal's algorithm11Q&A pairs
- Use network terminology including vertex, edge, weight, degree, path, cycle and directed graph to describe and analyse networks9Q&A pairs
- Find the shortest path between two vertices in a weighted network by inspection or by systematic labelling12Q&A pairs
Year 12: Statistical Analysis
- Calculate and interpret Pearson's correlation coefficient using statistical technology, including the sign and magnitude12Q&A pairs
- Distinguish between interpolation and extrapolation when using a regression line, and assess the reliability of predictions10Q&A pairs
- Find and use the equation of the least-squares regression line to model a linear relationship between two variables11Q&A pairs
- Recognise the features of the normal distribution and apply the empirical -- rule11Q&A pairs
- Construct and interpret scatterplots to describe the relationship between two variables in bivariate data11Q&A pairs
- Calculate z-scores and use them to compare values from different normal distributions and find probabilities11Q&A pairs