Podcast
Questions and Answers
Match the following mathematical concepts with their descriptions:
Match the following mathematical concepts with their descriptions:
Percentage profit = A measure of how much profit is made as a percentage of the cost Irrational number = A number that cannot be expressed as a simple fraction Simultaneous equations = A set of equations with multiple variables that are solved together Area of a circle = The space enclosed within the boundary of a circle
Match the following reading strategies with their definitions:
Match the following reading strategies with their definitions:
Skim reading = Reading quickly to grasp the general idea of a text Scanning = Searching for specific information within a text Predicting = Guessing what the answers to questions may be Detailed reading = Reading carefully to understand specific details
Match the algebraic terms with their meanings:
Match the algebraic terms with their meanings:
Collecting like terms = Combining terms that have the same variable Expanding brackets = Multiplying out the terms inside parentheses Changing subject of a formula = Rearranging an equation to make a specific variable the subject Factorization = Expressing a number or expression as a product of its factors
Match the following types of writing with their characteristics:
Match the following types of writing with their characteristics:
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Match the geometric concepts with their properties:
Match the geometric concepts with their properties:
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Match the following mathematical operations with their rules:
Match the following mathematical operations with their rules:
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Study Notes
Math
- Time intervals are used to calculate average speed, which is total distance divided by total time
- Irrational numbers are cannot be expressed as a simple fraction, while cube roots are a value that when multiplied by itself three times gives a specified number
- Prime numbers are natural numbers greater than 1 that has no divisors other than 1 and itself
- Factors are whole numbers that divide exactly into another number, while multiples are the product of a number and an integer
- Percentage profit is calculated by finding the difference between the selling price and the cost price, then dividing by the cost price, and multiplying by 100
- Fractions, decimals, and percentages are different ways to express proportions of a whole
- Order of operations is a set of rules to follow when working with mathematical expressions that contain more than one operation
- Ratios are used to compare the size of two quantities, and can be written in simplest form
- Rules of indices include multiplying indices when multiplying numbers with the same base, and adding indices when dividing numbers with the same base
- Factorization involves expressing an expression as a product of simpler expressions
- Expanding brackets involves simplifying expressions by removing the brackets
- Algebraic expressions can be simplified by combining like terms
- Changing the subject of a formula involves rearranging the formula to make a different variable the subject
- Simplifying algebraic expressions involves combining like terms and removing any brackets
- Collecting like terms involves combining terms with the same variables and coefficients
- Simultaneous equations are two or more equations that are true at the same time, and can be solved using substitution or elimination methods
- Angles around a point add up to 360 degrees, while angles in a triangle add up to 180 degrees, and angles in a semi-circle add up to 180 degrees
- The area of a circle is calculated by finding the product of pi and the radius squared, while the perimeter is the product of 2, pi, and the radius, and the volume of a shape is calculated by finding the product of the area and the height
English
- Vocabulary involves learning and understanding new words, while grammar involves learning and applying rules of sentence structure
- Reading comprehension involves skimming a text to get a general idea, scanning a text to locate specific information, and reading carefully to understand detail
- Skim reading involves reading headings, subheadings, and bullet points to get a general idea
- Scanning involves looking for specific keywords or phrases to locate information
- When reading carefully, it is important to identify the main idea, supporting details, and the author's purpose
- Predicting what the answers to questions will be involves using prior knowledge and the information in the text
- Identifying the type of information that a question focuses on involves determining whether the question is asking for a fact, opinion, or inference
- Informal writing, such as an email, should be conversational in tone and use contractions
- Formal writing, such as an article, should be objective in tone and use full sentences and formal language
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Description
Test your understanding of basic math concepts including time intervals, irrational and prime numbers, cube roots, factors, and multiples.
