Algebra and Math Concepts Quiz

5 Questions

What is the formula to find the area of a sector?

(angle/360) × πr^2

When expanding a double bracket, the number of terms in the expansion is always 4.

False

What is the formula for the circumference of a circle?

2 × πr

To find the nth term of an arithmetic sequence, the formula is an = _______________.

a + (n - 1)d

Match the following concepts with their definitions:

Bidmas = Order of operations (Brackets, Indices, Multiplication and Division, and Addition and Subtraction) Standard Form = Writing a number in the form a × 10^n Indices = A shorthand way of writing small or large numbers (e.g. 2^3 instead of 2 × 2 × 2)

Study Notes

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.