Name: Bow Tie Maths
Price: 3.99 GBP
Rating: 5 (4 reviews)
Author: Rob Wakeling

Adding and subtracting fractions To add or subtract fractions, the denominators must be the same.
Addition Addition is combining two or more numbers to find their total.
Angle facts Angle facts are the fundamental rules about angles that underpin all geometric reasoning.
Area of a circle The area of a circle is calculated using the formula: $A = \pi r^2$
Areas and volumes Area measures the amount of space inside a 2D shape (in square units).
Basic factorising Factorising is the reverse of expanding brackets — you take out the highest common factor from every term.
Basic indices Algebraic indices extend the laws of indices from numbers to expressions involving letters.
Basic percentages A percentage is a fraction out of 100.
Boxplots A box plot (box-and-whisker diagram) displays the spread and centre of a dataset using five key values: - Minimum value - Lower quartile (Q1) - Median (Q2) - Upper quartile (Q3) - Maximum value
Calculator use Efficient calculator use saves time and avoids errors.
Changing the subject Rearranging a formula to make another variable (letter) the subject.
Charts, tables and when to use them The type of data you have determines which chart or table to use.
Circumference of a circle The circumference is the distance around the outside of a circle (its perimeter).
Compound growth & decay Growth and decay problems involve quantities that increase or decrease by a fixed percentage repeatedly over time.
Compound units Compound units combine two or more base units to measure a derived quantity.
Converting numbers to words Reading and writing numbers in words is a basic numeracy skill required in worded problems and financial contexts.
Converting standard units Converting between units means changing a measurement from one unit to another without changing its actual size.
Coordinates Coordinates describe a position in 2D (or 3D) space using ordered pairs.
Correlation Correlation describes the relationship between two variables plotted on a scatter graph.
Cumulative frequency Cumulative frequency is a running total of frequencies.
Dividing fractions To divide by a fraction, multiply by its reciprocal (flip the second fraction and multiply).
Enlargements Enlarging a shape by a scale factor from a centre of enlargement.
Equation of a straight line The equation of any straight line can be written in the form: $y = mx + c$ where $m$ is the gradient and $c$ is the $y$ -intercept.
Equivalent fractions Equivalent fractions represent the same value but are written with different numerators and denominators.
Error intervals When a value has been rounded, the error interval gives the range of values the original number could have been.
Estimation Estimation means finding an approximate answer quickly by rounding values to convenient numbers — usually to 1 significant figure.
Expanding quadratics Multiplying two sets of brackets, usually to create a quadratic expression.
Expanding single brackets Multiplying terms within a bracket by the term in front.
Factorising quadratics Reduce a quadratic expression into two brackets.
Finding the nth term The $n$ th term formula lets you find any term in a sequence without listing them all, and test whether a given number is in the sequence.
Fractions, decimals & percentages Fractions, decimals, and percentages are three different ways of expressing the same value.
Gradients and intercepts Every straight-line graph can be written in the form $y = mx + c$ , where $m$ is the gradient and $c$ is the $y$ -intercept.
Highest common factor The highest common factor (HCF) of two or more numbers is the largest number that divides exactly into all of them.
Indices Indices (also called powers or exponents) follow a set of rules that let you simplify expressions without a calculator.
Interquartile range The interquartile range (IQR) measures the spread of the middle 50% of a dataset.
Linear inequalities A linear inequality is like a linear equation but uses $<$ , $\leq$ , $>$ , or $\geq$ instead of $=$ .
Lowest common multiple The lowest common multiple (LCM) of two or more numbers is the smallest number that is a multiple of all of them.
Mean The mean is found by adding all the values together and dividing by how many there are:
Median The median is the middle value when a list of numbers is written in order.
Multiples of pi Many circle calculations produce answers as multiples of $\pi$ (e.
Multiplying fractions To multiply fractions, multiply the numerators together and the denominators together.
Negative numbers Negative numbers are numbers less than zero.
Ordering numbers To order a list of numbers, think of them on a number line — smaller values sit to the left and larger ones to the right.
Parallel and perpendicular lines Parallel lines never meet — they have the same gradient.
Percentage change Percentage change measures how much a value has increased or decreased, expressed as a percentage of the original value.
Perimeter Perimeter is the total distance around the outside of a shape — you're just adding up all the side lengths.
Place value Place value describes how the position of a digit in a number determines how much it is worth.
Polygons A polygon is a closed 2D shape with straight sides.
Populations & samples A population is the entire group being studied.
Prime factor decomposition A question will nearly always be written in the following way: Express 100 as a product of its prime factors
Probability sum All probabilities for mutually exclusive, exhaustive outcomes must sum to 1.
Probability trees A probability tree diagram shows all possible outcomes of two or more events and their probabilities in a structured way.
Product rule The product rule for counting (also called the multiplication principle) states: if one event can happen in $m$ ways and a second event can happen in $n$ ways, the total number of ways both can happen is $m \times n$ .
Proportion Proportion describes how two quantities relate as they both change.
Pythagoras In any right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides: $a^2 + b^2 = c^2$ where $c$ is the hypotenuse — the side opposite the right angle, always the longest side.
Ratios A ratio expresses how two or more quantities compare with each other.
Ratios and similar shapes Two shapes are similar if one is an enlargement of the other — all corresponding angles are equal and all corresponding sides are in the same ratio (the linear scale factor $k$ ).
Reasoning Reasoning questions ask you to explain or justify rather than just calculate.
Reflections A reflection flips a shape over a mirror line.
Reverse percentages A reverse percentage problem gives you the result after a percentage increase or decrease, and asks you to find the original value.
Rotations A rotation turns a shape around a fixed point called the centre of rotation.
Rounding Rounding means replacing a number with a nearby value that is simpler to use.
Set notation A set is a collection of elements.
Simplifying expressions Simplifying an algebraic expression means collecting like terms and writing it in its most compact form.
Simplifying fractions Simplifying a fraction means writing it in its lowest terms by dividing the numerator and denominator by their highest common factor (HCF).
Simultaneous equations Simultaneous equations are two (or more) equations with the same two unknowns.
Solving linear equations The variable (usually $x$ ) will either be on one side of the equation (one step equations) or both sides (two step equations)
Solving quadratics A quadratic equation has the form $ax^2 + bx + c = 0$ .
Solving quadratics graphically The roots of an equation are the values of $x$ that make the equation equal to zero (i.
Speed time graphs A speed-time graph shows how an object's speed changes over time.
Speed, distance & time Speed, distance and time are linked by a single formula.
Squares and cubes A square number is the result of multiplying a whole number by itself.
Standard form Standard form (scientific notation) is a way of writing very large or very small numbers concisely.
Substitution Replace formulae and expressions with numerical values, including scientific formulae.
Subtraction Subtraction finds the difference between two numbers.
Theoretical probabilities Theoretical probability is calculated from equally likely outcomes using the formula:
Times tables Times tables are the multiplication facts up to $12 \times 12$ .
Translations A translation moves every point of a shape by the same distance in the same direction.
Trigonometric functions The trigonometric functions $\sin$ , $\cos$ , and $\tan$ are defined for all angles, not just those in right-angled triangles.