Maths

• What is the focus of the video content?

  Fundamentals for passing maths GCSE
• Why should viewers take notes during the video?

  To aid in their revision process
• What should you do if you need to pause the video?

  Pause it to take notes
• How do you round 6.32 to one significant figure?

  6
• What does 6.51 round to at one significant figure?

  7
• How do you round 0.503 to one significant figure?

  0.5
• What happens when you divide by 0.5?

  It doubles the original number
• What is the result of dividing 42 by 0.5?

  84
• How do you express 280 as a product of prime factors in index form?

  • Prime factor tree method
  • 280 = 2^3 × 5 × 7
• What is the lowest common multiple of 15 and 40?

  120
• How many packs of pencils are needed for 120 pencils?

  8 packs
• How many boxes of pens are needed for 120 pens?

  3 boxes
• What is the highest common factor of 72 and 90?

  18
• What are the methods to find the highest common factor?

  • Listing factors
  • Prime factorization method
• How do you represent the inequality on a number line?

  Use circles and arrows for boundaries
• What does the inequality symbol ≤ indicate?

  Less than or equal to
• What is the cost of the washing machine before the deposit?

  £640 plus 20%
• How much is the deposit for the washing machine?

  £68
• What is the monthly payment for the washing machine?

  £70
• How do you calculate 20% of £640?

  Double 10% of £640
• What is the original price of the mobile phone after a 20% reduction to £500?

  £625
• How do you find the original price from a sale price?

  Identify the percentage represented by the sale price
• What is the value of the house before a 3% increase if it increased by £7,500?

  £250,000
• How do you calculate simple interest for two years at 1.5% on £800?

  £12 per year, total £24
• What is the total amount in the account after two years with simple interest?

  £824
• What is the total amount after 4 years with compound interest at 2.4% on £150,000?

  £164,926.74
• How much interest does Emily earn after 4 years?

  £14,926.74
• How does compound interest differ from simple interest?

  Compound interest accumulates over time
• What does depreciation mean in the context of a car's value?

  It falls in value over time
• What is the value of a car after 3 years if it depreciates by 20% each year starting at £4,000?

  £2,048
• How do you calculate the value of a depreciating asset?

  Multiply by 0.8 each year
• What are the steps to calculate depreciation over multiple years?

  1. Calculate 20% of the current value
  2. Subtract that amount from the current value
  3. Repeat for each year
• How do you multiply fractions?

  Multiply numerators and denominators
• What is the first step in multiplying fractions?

  Multiply the numerators
• What do you do with the denominators when multiplying fractions?

  Multiply them together
• What is the result of 3200 take away 640?

  2560
• What is 10% of 2560?

  256
• How do you calculate 20% of 2560?

  Multiply by 0.2
• What is 2560 take away 512?

  2048
• If something loses 20% in value, what percentage of its cost remains?

  80%