GCSE Mathematics Higher Tier Paper 2 Vocabulary and Concepts

Vocabulary and key conceptual definitions from the GCSE Mathematics Higher Tier Paper 2 (Calculator) June 2024 examination paper.

GCSE Mathematics Higher Tier Paper 2 Maximum Mark

The total maximum mark available for this paper is $80$.

Circle Features

Geometric components of a circle, which include an arc, a chord, a sector, a segment, and a tangent.

Inverse Proportion Constant ($k$)

In the inverse proportion formula $D = \frac{k}{b}$ (where $D$ is the number of desserts and $b$ is the number of blueberries per dessert), the constant $k$ represents the total number of blueberries in the tub.

Relative Frequency Estimate

An estimate for the probability of an outcome obtained by dividing the cumulative number of successful outcomes by the total number of trials (e.g., $52$ heads out of $200$ flips).

Intersection ($P \cap Q$)

The region in a Venn diagram representing elements that belong to both set $P$ and set $Q$ simultaneously.

Map Scale ($1 : 20\,000$)

A scale ratio indicating that $1\,\text{cm}$ on a map corresponds to an actual distance of $20\,000\,\text{cm}$ ($0.2\,\text{km}$) in reality.

Triangle Congruence Criteria

Geometric rules used to prove two triangles are congruent: $ASA$ (Angle-Side-Angle), $RHS$ (Right angle-Hypotenuse-Side), $SAS$ (Side-Angle-Side), and $SSS$ (Side-Side-Side).

Tonne Conversion Rate

The metric unit equivalence where $1000\,\text{kg} = 1\,\text{tonne}$.

Interquartile Range ($IQR$)

A measure of statistical dispersion calculated as the difference between the upper quartile ($UQ$) and the lower quartile ($LQ$).

Iterative Process

A mathematical procedure where an initial value such as $x_1 = 1$ is substituted into an iteration formula like $x_{n+1} = 5 - \frac{1}{x_n}$ to calculate successive approximations of a root.

Right-Angled Triangular Prism Ratio

The ratio of edge dimensions given as $a : b : c : d = 3 : 4 : 5 : 12$ for a prism with a total volume of $1125\,\text{cm}^3$.