Mathematics Non-Calculator Intermediate Tier Vocabulary Flashcards (3300U30-1)

Key vocabulary terms drawn from the Non-Calculator Intermediate Tier GCSE paper content, covering area/volume formulas, geometry transformations, data handling, algebra, and basic probability concepts.

Area of trapezium

The area is given by (a + b) × h, where a and b are the lengths of the two parallel sides and h is the perpendicular distance between them.

Volume of prism

Volume = area of cross-section × length (the base area multiplied by the height/length of the prism).

Cross-section

The 2D shape obtained when a solid is cut by a plane.

Nearest value

The value rounded to the nearest specified unit or place.

Approximation

An estimated value that is close to the true value.

Arithmetic sequence

A sequence in which the difference between consecutive terms is constant.

Sum of first n terms

The total of the first n terms of a sequence; for arithmetic sequences, S_n = n/2 [2a₁ + (n−1)d].

Right-angled triangle

A triangle in which one angle is 90 degrees.

Isosceles triangle

A triangle in which at least two sides are equal in length.

Reflection

A transformation that flips a figure over a line.

Enlargement

A transformation that scales a figure by a scale factor about a center.

Centre of enlargement

The fixed point about which an enlargement is performed.

Scale factor

The factor by which lengths are multiplied in an enlargement.

Construction

A geometric drawing made with a straightedge and compasses.

Angle bisector

A line that divides an angle into two equal angles.

Perpendicular bisector

A line perpendicular to a segment at its midpoint, equidistant from the segment's endpoints.

Class interval

A range of data values used in a frequency table to group data.

Equal width

Class intervals that have the same length or width.

Frequency table

A table listing how many data values fall into each class interval.

Probability

A measure of how likely an event is to occur.

Tree diagram

A branching diagram used to represent possible outcomes and their probabilities.

Expected value

The average outcome expected if an experiment is repeated many times; sum of outcomes × probabilities.

Percentage

A fraction expressed as parts per hundred; denoted with %.

Ratio

A relationship expressing how much of one quantity there is for another.

Factorise

Rewrite an expression as a product of its factors.

Reciprocal

The multiplicative inverse of a number; for x, the reciprocal is 1/x.

Standard form

Scientific notation: a × 10^n where 1 ≤ a < 10.

LCM (Least Common Multiple)

The smallest number that is a multiple of two or more integers.

HCF (Highest Common Factor)

The greatest common factor (greatest common divisor) of two or more integers.

Solve an equation

Find the value(s) of the unknown that satisfy the equation.