Math

• What topics are covered in the Year 8 PP1 Revision List?

  • Adding and subtracting with negative numbers
  • Adding integers
  • Finding factors
  • Finding primes
  • Fractions of amounts
  • Function machines
  • Multiplying and dividing by 10, 100, 1000
  • Multiplying and dividing with negative numbers
  • Percentages of amounts
  • Substitution into expressions
  • Subtracting integers
  • Understanding and ordering whole numbers
  • Using a written method to multiply integers
  • Using the correct order of operations
  • Understand and use ratio notation
  • Simplifying ratios
  • Solve problems involving ratios
  • Divide a value in a given ratio
  • Compare ratios and fractions
  • Writing a ratio as a fraction
  • Writing a ratio in the form 1 : n or n : 1
  • Solve problems involving direct proportion
  • Convert between currencies
  • Explore conversion graphs
  • Explore relationships between similar shapes
  • Draw and interpret scale diagrams
  • Interpret maps using scale factors and ratios
  • Multiply a fraction by an integer
  • Find the product of unit fractions
  • Find the product of any fractions
  • Divide an integer by a fraction
  • Understand and use the reciprocal
  • Multiply and divide any pair of fractions
  • Multiply and divide improper and mixed fractions
• What is the first topic listed in the Year 8 PP1 Revision List?

  Adding and subtracting with negative numbers
• What is the purpose of function machines in mathematics?

  To illustrate input-output relationships
• What is the operation involved in multiplying and dividing by 10, 100, and 1000?

  Scaling numbers up or down
• Why is it important to understand and order whole numbers?

  To compare and organize numerical data
• How would you simplify the ratio 4:8?

  1. 4
• How do you compare ratios and fractions?

  By converting them to a common form
• What is the reciprocal of a number?

  1 divided by that number
• If you have a fraction $\frac{3}{4}$, how would you multiply it by an integer, say 2?


  $\frac{3}{4} \times 2 =$$\frac{6}{4} =$$\frac{3}{2}$
• What does it mean to write a ratio in the form 1:n?

  It expresses one part relative to another
• How do you divide an integer by a fraction?

  Multiply by the reciprocal of the fraction
• What is the product of unit fractions?

  It is a fraction less than one
• How do you find the product of any two fractions?

  Multiply the numerators and denominators
• What is the significance of conversion graphs?

  They help visualize relationships between quantities
• How do you interpret maps using scale factors?

  By applying the scale to real distances
• What is the first step in solving problems involving ratios?

  Identify the quantities involved
• Why is it important to understand percentages of amounts?

  To calculate discounts and increases
• How do you solve problems involving direct proportion?

  Set up a proportion equation
• How do you explore relationships between similar shapes?

  By comparing their corresponding sides and angles
• What is the method to multiply and divide improper and mixed fractions?

  Convert to improper fractions first
• What is the significance of using the correct order of operations?

  It ensures accurate calculations
• How do you use a written method to multiply integers?

  Align numbers and multiply step by step
• How can you simplify ratios effectively?

  By dividing both sides by their greatest common factor
• To find the factors of a number, we need to divide it by all possible whole numbers from 1 to itself.
• A factor is one of the numbers that make up another number or expression.
• The product of two numbers is the result obtained when they are multiplied together.