GCSE Mathematics Higher Tier Paper 1 Non-Calculator Key Vocabulary

Vocabulary flashcards covering mathematical terms, set notation, standard formulas, and theoretical concepts from the GCSE Mathematics Paper 1 (Non-Calculator) examination.

Standard Form ($a \times 10^n$)

A standard way of writing numbers in the form $a \times 10^n$, where $1 \le a < 10$ and $n$ is an integer.

Surface Area of a Sphere

The total area covering the outer surface of a sphere of radius $r$, calculated using the formula $4\pi r^2$.

$$P(A \cap B)$$

The probability of the intersection of event $A$ and event $B$, representing the probability that both events occur.

$$P(A')$$

The probability of the complement of event $A$, representing the probability that event $A$ does not occur.

$$P(A \cup B)$$

The probability of the union of event $A$ and event $B$, representing the probability that event $A$, event $B$, or both occur.

Interquartile Range

A measure of statistical dispersion calculated as the upper quartile minus the lower quartile ($\text{UQ} - \text{LQ}$).

Range

The difference between the maximum value and the minimum value in a dataset.

Reciprocal Graph ($y = \frac{1}{x}$)

A hyperbola graph consisting of two curves in opposite quadrants with horizontal and vertical asymptotes at $y = 0$ and $x = 0$.

Even Product of Two Prime Numbers

A multiplication result of two prime numbers that is an even number, requiring at least one of the prime factors to be $2$.

Average Speed

The total distance traveled divided by the total time taken for a multi-stage journey, given by $\text{Average speed} = \frac{\text{Total distance}}{\text{Total time}}$.

Exact Values of Trigonometric Ratios

Specific non-calculator trigonometric values including $\sin(30^\circ) = \frac{1}{2}$, $\cos(30^\circ) = \frac{\sqrt{3}}{2}$, and $\tan(45^\circ) = 1$.

Completing the Square Form

An algebraic method of writing a quadratic expression in the form $(x - a)^2 - b$, where $a$ and $b$ are integers or rational numbers.