Maths Standard 2 flashcards

424 HSC Maths Standard 2 cards across 12 modules (71 definitions, 166 key facts, 81 fill-the-gap, 106 formulas). Each session gives you 20 cards, due cards first. Swipe right for easy, left for hard, down for again. Keyboard: Space to flip, 1 to 4 to rate.

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What this deck covers

Year 11: Algebra (60 cards, 12 dot points)
Year 11: Data Analysis (52 cards, 10 dot points)
Year 11: Financial Mathematics (37 cards, 8 dot points)
Year 11: Measurement (48 cards, 9 dot points)
Year 11: Relative Frequency and Probability (28 cards, 6 dot points)
Year 11: Working with Time (26 cards, 5 dot points)
Year 12: Algebra (35 cards, 6 dot points)
Year 12: Financial Mathematics (46 cards, 8 dot points)
Year 12: Measurement (34 cards, 6 dot points)
Year 12: Networks (29 cards, 6 dot points)
Year 12: Relative Frequency and Probability (2024 syllabus) (3 cards, 1 dot point)
- Venn diagrams and two-way tables for two attributes: filling in the regions, converting between the two displays, and finding probabilities and proportions (new in the 2024 Mathematics Standard syllabus) (3)
Year 12: Statistical Analysis (26 cards, 6 dot points)

Sample cards from this deck

Definition
Changing the subject of a formula for HSC Maths Standard 2
Define Balance
Whatever you do to one side, do to the other side as well. Subtract the same term from both sides, divide both sides by the same factor, take the root of both sides. This keeps the two sides equal, so the relationship is unchanged.
Definition
Box-and-whisker plots and comparing distributions for HSC Maths Standard 2
Define Skew (shape)
Look at where the median sits in the box and how the whiskers compare. A median near the left of the box with a long right whisker is positive skew; near the right with a long left whisker is negative skew; central with even whiskers is symmetric.
Definition
Income tax, taxable income, the Medicare levy and PAYG for HSC Maths Standard 2
Define Gross pay
Gross pay is the full amount earned for a period before anything is taken out.
Definition
Rates and ratios for HSC Maths Standard 2
Define Add the parts
For $3 : 5$ the total is $3 + 5 = 8$ parts.
Definition
Expected frequency for HSC Maths Standard 2
Define Experimental
Experimental (a relative frequency), estimated from a trial: " $24$ greens in $150$ spins" gives $P(\text{green}) \approx \tfrac{24}{150} = 0.16$ .
Definition
Latitude, longitude and angular distance for HSC Maths Standard 2
Define Latitude
Latitude is the angle, measured at the centre of Earth, between a point and the equator. The equator is the great circle halfway between the poles, and it is latitude $0^\circ$ . Moving towards the North Pole the latitude increases to $90^\circ$ N; moving towards the South Pole it increases to $90^\circ$ S. Lines of equal latitude are the parallels - circles running east to west, parallel to the equator. Sydney, for example, sits near $34^\circ$ S, meaning $34^\circ$ south of the equator. Always keep the N or S label: $34^\circ$ on its own does not say which side of the equator.
Definition
Break-even analysis and linear cost or revenue models for HSC Maths Standard 2
Define Cost
$C = F + v n$ , where $F$ is the fixed cost (paid regardless of sales) and $v$ is the variable cost per unit (the extra cost of making one more).
Definition
Annuities, future value and superannuation for HSC Maths Standard 2
Define Future value (savings annuity)
What does the account grow to after $n$ payments?
Definition
Area of a triangle using two sides and the included angle for HSC Maths Standard 2
Define Pythagorean triple
Pythagorean triple (three lengths where the two smaller ones squared add up to the largest one squared). Suppose $a^2 + b^2 = c^2$ , for example $9$ , $12$ , $15$ , which is $3$ - $4$ - $5$ scaled by $3$ . Then the triangle is right-angled, and the right angle sits between the two shorter sides. Since $\sin 90\degree = 1$ , the area is simply $\frac{1}{2} \times (\text{shorter side}) \times (\text{other shorter side})$ . That saves the whole cosine-rule step.
Definition
Critical path analysis: precedence tables and minimum project duration for HSC Maths Standard 2
Define Overlapping but unequal predecessors
Suppose $E$ requires both $C$ and $D$ , while $F$ requires only $D$ . Let $C$ and $D$ finish at separate events, and start $F$ from the end of $D$ . Now add a dummy from the end of $D$ to the end of $C$ . That event now marks both $C$ and $D$ as complete, so $E$ can start there and waits for both. $F$ still depends on $D$ alone.