maths paper 3

• What topics are covered in the Edexcel advanced information list for higher paper 3?

  Higher paper 3 topics
• Why is it important to do further revision beyond the video content?

  To ensure comprehensive understanding and preparation for the exam
• How can students access the checklist mentioned in the video?

  • Click the link in the video description
  • Download and print the checklist
• What should students do if they are unsure about a particular topic?

  Make that topic a priority for revision
• What is the purpose of the practice booklet mentioned in the video?

  • To provide practice questions
  • To work through questions alongside the video
• What is the formula for speed?

  Speed = Distance / Time
• How do you simplify the expression $\frac{3^2 \times 3^5}{3^3}$?


  By adding the powers on top and subtracting the power on the bottom
• What is the final answer for $\frac{3^2 \times 3^5}{3^3}$?


  $3^4$
• What does the term "value" mean in the context of the question about $5^7 \times 5^{-3} \div 5^2$?


  It refers to the numerical result rather than the power form
• What is the value of $5^7 \times 5^{-3} \div 5^2$?


  25
• How do you find the lower bound for a value given the formula $v =$$\frac{s}{t}$?


  Use the lower bound of the numerator and the upper bound of the denominator
• What are the error intervals for $s =$$2.34$ and $t =$$1.3$?


  Lower bound of $s</text{ is } 2.335, upper bound of t</text{ is } 1.35$
• How do negative powers affect calculations in fractions?

  They require careful handling when simplifying expressions
• What is the formula for calculating average speed?

  Average Speed = Distance / Time
• How do you convert hours to minutes for error intervals?

  Multiply the number of hours by 60
• What is the upper bound for the distance of 260 miles to the nearest 10 miles?

  265 miles
• What is the lower bound for the time of 3 hours to the nearest 5 minutes?

  177 minutes
• Why is it important to write down error intervals in exam questions?

  It can earn marks even if the rest of the question is incorrect
• How do you convert minutes back to hours for speed calculations?

  Divide the number of minutes by 60
• What are the steps to find the lower bound for a fraction?

  1. Identify the lower bound of the numerator
  2. Identify the upper bound of the denominator
  3. Divide the lower bound by the upper bound
• Why do we need to convert time into hours when calculating speed in miles per hour?

  Because speed is typically expressed in miles per hour, requiring time to be in hours.
• How do you convert minutes to hours in calculations?

  By dividing the number of minutes by 60.
• What is the result of $177.5 \div 60$?


  $2.9583\ldots$
• What is the result of $182.5 \div 60$?


  $3.0416\ldots$
• What formula is used to calculate speed?

  Speed is calculated using the formula: speed = distance / time.
• How do you calculate the upper bound of speed?

  By dividing the upper bound of distance by the lower bound of time.
• What is the upper bound speed if the distance is 265 and the time is $2.9583\ldots$?


  $89.57746\ldots$
• How do you calculate the lower bound of speed?

  By dividing the lower bound of distance by the upper bound of time.
• What is the lower bound speed if the distance is 255 and the time is $3.0416\ldots$?


  $83.83561\ldots$
• What issue arises when comparing the upper and lower bound speeds?

  The upper and lower bounds are significantly different, making it difficult to round them to the same significant figure.
• How should you round the average speed when upper and lower bounds differ significantly?

  Round both to the nearest hundred to ensure they match.
• How many types of shrubs are available at the garden center?

  17 different types of shrubs.
• How can the number of ways to choose one shrub and one rose tree be calculated?

  By multiplying the number of shrubs by the number of rose trees.
• What does it indicate if $215 \div 17$ does not yield a whole number?


  It indicates that the number of rose trees cannot be a whole number, making Jeff's claim incorrect.
• What is the total number of different three-digit numbers that can be set on the combination lock?

  125 different three-digit numbers.
• How many different three-digit numbers can be formed with three different digits on the combination lock?

  60 different three-digit numbers with three different digits.
• How do you simplify the expression $3x^2 +$$2x^2 - 5 - 1 - 4x +$$7x$?


  The simplified expression is $5x^2 +$$3x - 6$.
• What is the result of expanding $3(2x + 5)$?


  The result is $6x +$$15$.
• What is the result of expanding $5(x - 2)$?


  The result is $5x - 10$.
• What is the value of $2x^2 - 3x$ when $x =$$-4$?


  The value is $44$.