Year 8H End of Year Maths Revision

A comprehensive set of vocabulary flashcards covering the Year 8H Maths end of year revision topics, including Number, Algebra, Statistics, and Geometry.

Rounding to significant figures

The process of reducing a number to a specific degree of accuracy based on its first non-zero digits.

Truncating decimals

Shortening a decimal number by removing all digits after a certain point without rounding up or down.

Roots and powers

Mathematical operations involving a base number raised to an exponent or finding the number that, when multiplied by itself, gives the base value.

Laws of indices

Rules for simplifying expressions with powers, including rules such as $a^m \times a^n = a^{m+n}$ and $(a^m)^n = a^{m \times n}$.

Highest common factor (HCF)

The largest whole number that divides exactly into two or more numbers.

Lowest common multiple (LCM)

The smallest positive integer that is a multiple of two or more numbers.

Ordering fractions, decimals and percentages

The ability to compare and arrange numerical values in different formats by converting them into a single common format.

Percentage change

The difference between an old and new value expressed as a percentage, calculated as $\frac{\text{change}}{\text{original}} \times 100$.

Ratio 1:n form

Expressing a ratio such that the first part is equal to $1$, often used for scale calculations.

Ratio-sharing

The process of dividing a total quantity into parts based on the relative proportions defined by a ratio.

Value for money

A technique for comparing the cost of different sized items to find which provides the best price per unit of weight or volume.

Expand double brackets

The algebraic process of multiplying each term in the first set of brackets by each term in the second set of brackets.

Factorise

The inverse of expanding, where an algebraic expression is rewritten as a product of its factors.

Solving equations

Finding the specific numerical value for an unknown variable that makes a mathematical equality true.

Equations with the unknown on both sides

Equations where the variable appears on both the left and right side of the equals sign, requiring rearrangement to solve.

Sequences

An ordered list of numbers that follow a specific pattern or mathematical rule to determine the next terms.

Changing the subject of a formula

Rearranging a formula to isolate a different variable on one side of the equals sign.

Plotting straight line graphs

Drawing a linear relationship on a coordinate grid based on an equation in the form $y = mx + c$.

Averages from frequency tables

Calculating the mean, median, or mode from data sets that have been grouped into a frequency distribution table.

Area of a circle

The space contained within the boundary of a circle, calculated using the formula A = \text{\pi} \times r^2.

Surface area of prisms

The total area of all the faces (including the cross-sectional ends and the lateral sides) of a three-dimensional prism.