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Questions and Answers
What is the formula to find the area of a sector?
What is the formula to find the area of a sector?
When expanding a double bracket, the number of terms in the expansion is always 4.
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?
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 = _______________.
To find the nth term of an arithmetic sequence, the formula is an = _______________.
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Match the following concepts with their definitions:
Match the following concepts with their definitions:
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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.
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Description
Test your understanding of various algebra and math concepts, including factorising expressions, indices, solving equations, and more.