GCSE Mathematics

• What do percentages represent?

  How much of something out of 100
• What is the fraction equivalent of 25%?

  1/4
• How do you convert 85% to a decimal?

  Divide 85 by 100 to get 0.85
• How can percentages be thought of in terms of tests?

  As a score out of 100 on a test
• What is 15% of 200?

  30
• What is the relationship between percentages, decimals, and fractions?

  • Percentages show parts per 100
  • Decimals are fractions of 10
  • Fractions represent parts of a whole
• What is the result of dividing 85 by 100?

  0.85
• What are the steps to find the percentage of a number?

  1. Convert percentage to decimal: Divide by 100
  2. Multiply the decimal by the number
• What does a 20% discount on a £400 TV represent?

  It represents a discount amount of £80
• What is the discount amount for a £400 TV at 20% off?

  £80
• How do you calculate the discount amount for a £400 TV with a 20% discount?

  Multiply 0.2 by 400
• What does percentage increase show?

  Growth compared to the original value
• How do you calculate the percentage change in a job salary from £25,000 to £28,000?

  12% increase
• How do you calculate the difference in percentage increase?

  Increased value minus original value
• How do you calculate the percentage increase in ticket prices from £10 to £12?

  1. Increase: £12 - £10 = £2
  2. Percentage increase: (£2 / £10) * 100 = 20%
• What is the percentage increase when the original value is 200 and the increased value is 250?

  25%
• How do you express the result of the division as a percentage?

  Multiply by 100
• What are the key steps to calculate percentage increase?

  1. Calculate the difference: Increased - Original
  2. Divide by the original: Difference / Original
  3. Multiply by 100: (Difference / Original) * 100
• What are the steps to calculate percentage decrease?

  1. Calculate the difference: Original - New
  2. Divide the difference by the original value
  3. Multiply by 100 to express as a percentage
• Why is percentage decrease useful?

  It helps understand discounts and losses
• How do you find the discount amount from a price and percentage discount?

  1. Convert the discount percentage to decimal
  2. Multiply the decimal by the original price
• Why is percentage change useful in real-world scenarios?

  It shows how things increase or decrease over time
• What is the increase in ticket prices from £10 to £12?

  £2
• How do you calculate the difference in percentage decrease?

  Original value - New value
• What is the first step in calculating cumulative percentage change?

  Calculate the first change
• What is the formula for calculating percentage change?

  1. Find the difference: Increased/Decreased value - Original value
  2. Divide by the original: Difference / Original value
  3. Multiply by 100: (Difference / Original value) × 100
• What is the percentage increase from the original value to the interim value?

  20% increase
• What does percentage decrease show?

  Reduction compared to the original value
• What is the formula for calculating the second change percentage?

  Change % = ((Final Value - Interim Value) / Interim Value) × 100
• What is the percentage change when a product price drops from £100 to £80?

  -20% (or 20% decrease)
• If you score 85% on an exam, what does that mean?

  You got 85 out of 100 questions correct
• What does the final stock price represent in relation to the original price?

  It is 8% higher than the original
• What is the result of converting 15% to a decimal?

  0.15
• What is the percentage decrease from the interim value to the final value?

  10% decrease
• How do you find 15% of 200?

  Multiply 0.15 by 200
• How is the first change percentage calculated?

  Change % = ((Interim Value - Original Value) / Original Value) × 100
• What are the key differences between increase and decrease in percentage change?

  • Increase: Ends higher than it started
  • Decrease: Ends lower than it started
• How do you express the result as a percentage?

  (Difference / Original value) * 100
• What is the final step in calculating cumulative percentage change?

  Combine the effects by multiplying decimals
• How do you convert a percentage to a decimal?

  Divide the percentage by 100