Practice Paper for Edexcel Paper 3H (June 2026)

This set of vocabulary flashcards covers mathematical formulas, concepts, and procedural steps derived from the Edexcel Paper 3H June 2026 practice material.

Simplification of Indices: $(m^6)^5$

To simplify this expression, you multiply the powers, resulting in $m^{30}$.

Cumulative Frequency

A running total of the frequencies in a data set, used to plot a cumulative frequency graph to find estimates for the median and quartiles.

Volume of a Sphere

The formula used to calculate the volume is $\frac{4}{3} \pi r^3$; for a radius of $6\,cm$, the volume is approximately $904.7786842\,cm^3$.

Density

The mass per unit volume of a substance, calculated using the formula $\text{Density} = \frac{\text{Mass}}{\text{Volume}}$. In the lecture, it is given in $g/cm^3$.

Median Class Interval

In a frequency table, this is the group that contains the middle value, calculated by $\frac{n+1}{2}$.

Probability Tree Diagram

A visual representation used to calculate the probabilities of multiple events; the sum of the probabilities on each set of branches must equal $1$.

Transformation: Enlargement

A transformation that changes the size of a shape by a scale factor from a specific center of enlargement.

Unit Conversion: $m^2$ to $cm^2$

To convert square meters to square centimeters, multiply the value by $10,000$ (since $1\,m^2 = 100\,cm \times 100\,cm$). For example, $9.5\,m^2 = 95,000\,cm^2$.

Iteration Formula

A process, like $x_{n+1} = \sqrt[3]{2x_n + 8}$, where the output of one step is used as the input for the next to find an estimate for a solution to an equation.

Inverse Proportion

A relationship between two variables where one increases as the other decreases, expressed as $y = \frac{k}{x^2}$ in the context of being inversely proportional to the square of $x$.

Direct Proportion

A relationship where two variables increase or decrease together at the same rate, expressed as $x = k\sqrt{z}$ when $x$ is directly proportional to the square root of $z$.

Upper Bound

The maximum possible value for a number before it was rounded; for example, if $a = 200$ was rounded to $1$ significant figure, the upper bound is $250$.

Perpendicular Lines

Two lines that meet at a $90^°$ angle, where the gradient of one line is the negative reciprocal of the other ($m_1 \times m_2 = -1$).

Tangent to a Circle

An equation for a line that touches a circle at exactly one point, where the gradient of the tangent is perpendicular to the gradient of the radius at that point.

Bearing

A measurement of direction in degrees measured clockwise from North, often expressed in three digits (e.g., $064^°$).