Algebra and Math Concepts Quiz

Algebra

• Factorising expressions involves expressing an algebraic expression as a product of simpler expressions.
• Indices are used to show the power to which a number is raised.
• Solving equations involves finding the value of the unknown variable that makes the equation true.

Number

• Multiplying decimals requires alignment of the decimal points and multiplying the numbers.
• Sharing into a given ratio involves dividing a quantity into parts in a specific ratio.
• Reverse percentages involve finding the original amount when a percentage increase or decrease is given.
• Powers and roots are used to simplify expressions and solve equations.

Data Handling

• Finding the mean involves adding up the values and dividing by the number of values.
• Interpreting scatter graphs involves identifying patterns and relationships between variables.

Geometry

• The area of a sector can be found using the formula (angle/360) × π × r^2.
• Angles on parallel lines have specific properties, such as corresponding angles being equal.
• The circumference of a circle can be found using the formula 2 × π × r.
• Pythagoras' theorem states that a^2 + b^2 = c^2 for a right-angled triangle.
• Trigonometry involves the use of triangles to solve problems, including finding lengths and angles.

Other

• Expanding brackets involves multiplying the terms inside the brackets by the expression outside.
• Single and double brackets require different expansion methods.
• Probability trees are used to visualize and calculate the probability of events.
• Standard form involves expressing a number in the form a × 10^n.
• BIDMAS (Brackets, Indices, Division, Multiplication, Addition, and Subtraction) is the order of operations for mathematical expressions.
• Converting units involves changing the unit of measurement of a quantity.
• Percentage increase involves finding the percentage change in a value.
• Working with fractions involves adding, subtracting, multiplying, and dividing fractions.
• Money problems involve using mathematical operations to solve real-world problems involving money.