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What is a linear sequence?

A linear sequence is a sequence of numbers in which the difference between consecutive terms is constant.

How do you find the next term in a linear sequence?

To find the next term in a linear sequence, add the common difference to the last term.

How to find the nth term of a linear sequence?

The nth term can be found using the formula: $a_n = a + (n - 1)d$ where $a$ is the first term, $d$ is the common difference, and $n$ is the term number.

What are indices in math?

Indices, or exponents, indicate how many times a number is multiplied by itself.

How to simplify expressions with indices?

Use the laws of indices: a^m \times a^n = a^{m+n}; \ a^m \/ a^n = a^{m-n}; \ (a^m)^n = a^{mn}.

How to solve one-step equations?

To solve a one-step equation, isolate the variable by performing the inverse operation on both sides.

How to solve two-step equations?

To solve a two-step equation, isolate the variable by reversing the operations, typically by removing constants first, then coefficients.

What is expanding brackets?

Expanding brackets involves distributing each term outside the bracket to every term inside the brackets.

How to factorise expressions with single brackets?

To factorise, find the greatest common factor (GCF) and rewrite the expression as a product of its GCF and the corresponding bracket.

How to factorise expressions with double brackets?

To factorise using double brackets, identify two binomials that multiply to give the original quadratic.

What are quadratics?

Quadratic equations are polynomials of degree two in the form: $ax^2 + bx + c = 0$.

How to solve quadratics?

Quadratics can be solved using factoring, completing the square, or the quadratic formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: $c^2 = a^2 + b^2$.

How to find the hypotenuse using Pythagorean Theorem?

To find the hypotenuse, use the formula: $c = \sqrt{a^2 + b^2}$.

How to find another side using Pythagorean Theorem?

To find the length of another side, rearrange the Theorem: $a = \sqrt{c^2 - b^2}$ or $b = \sqrt{c^2 - a^2}$.

How to calculate the volume of a cube?

The volume of a cube is given by the formula: $V = a^3$ where $a$ is the length of a side.

How to calculate the volume of a cuboid?

The volume of a cuboid is given by the formula: $V = l \times w \times h$ where $l$ is the length, $w$ is the width, and $h$ is the height.

What is the volume formula for a cylinder?

The volume of a cylinder is given by the formula: $V = \pi r^2 h$ where $r$ is the radius and $h$ is the height.

What is surface area?

Surface area is the total area of the exterior surface of a three-dimensional shape.

How to calculate the surface area of a cube?

The surface area of a cube is calculated using the formula: $SA = 6a^2$ where $a$ is the length of a side.

How to calculate the surface area of a cylinder?

The surface area of a cylinder is given by: $SA = 2\pi r(h + r)$ where $r$ is the radius and $h$ is the height.

What is enlargement in geometry?

Enlargement is the process of increasing or decreasing the size of a shape while maintaining its proportions.

What is a pie chart?

A pie chart is a circular graph divided into sectors that represent a proportion of a whole.

What is a two-way table?

A two-way table is a statistical table that displays the frequency distribution of two categorical variables.

How to read a bar chart?

A bar chart represents categorical data with rectangular bars, where the height or length of each bar corresponds to the data value.

What is estimation in mathematics?

Estimation involves making an educated guess about a quantity, often simplifying calculations.

What are significant figures?

Significant figures are the digits in a number that contribute to its precision, focusing on all non-zero digits, zeros between significant digits, and trailing zeros in decimal numbers.