MATH

• What is the focus of the video discussed in the study material?

  The video focuses on the advanced information for the 2022 maths GCSE higher paper one.
• What can viewers download from the video description?


  • A checklist for all topics on the advanced information for papers one, two, and three.
  • Free to download and share.
• How can viewers navigate through the topics in the video?

  Viewers can pause the video and click on the chapters at the bottom left to navigate through the topics.
• What should viewers do if they want to access links to different papers?

  Viewers should scroll down in the description to find links to all the different papers.
• What is the first step in solving the problem "three-fifths of a number is 48"?

  The first step is to recognize that three-fifths of a number equals 48, meaning we need to find the whole number.
• How do you find the original number when three-fifths of it is 48?

  You divide 48 by 3 to find the value of one part, which is 16, and then multiply by 5 to find the original number, which is 80.
• Why do we divide by the numerator in the problem "three-fifths of a number is 48"?

  We divide by the numerator because we want to find the value of one part of the fraction represented by three-fifths.
• What is the process for adding mixed numbers?

  1. Convert mixed numbers to improper fractions.
  2. Find a common denominator.
  3. Add the numerators while keeping the common denominator.
  4. Simplify the result if necessary.
• What is the first step in adding mixed numbers like "three and four-fifths" and "three-sevenths"?

  The first step is to convert the mixed number "three and four-fifths" into an improper fraction, which is nineteen-fifths.
• What is the lowest common multiple of 5 and 7?

  The lowest common multiple of 5 and 7 is 35.
• How do you convert the improper fraction 148/35 into a mixed number?

  You divide 148 by 35, which goes in 4 times with a remainder of 8, resulting in the mixed number 4 and 8/35.
• Why is it important to simplify fractions when necessary?

  Simplifying fractions makes them easier to understand and work with.
• What is the first step in dividing mixed numbers like "one and one-fifth" by "three-quarters"?

  The first step is to convert "one and one-fifth" into an improper fraction, which is six-fifths.
• What is the rule for dividing fractions?

  When dividing fractions, keep the first fraction, flip the second fraction, and multiply.
• What is the result of dividing six-fifths by three-quarters?

  The result is one and three-fifths after simplifying.
• How do you express the recurring decimal 0.47 with a recurring dot over the seven as a fraction?

  Set x equal to 0.47, multiply by 10, and subtract to eliminate the recurring part.
• What happens when you subtract the two equations formed by multiplying the recurring decimal?

  The recurring parts cancel out, allowing you to solve for x.
• What is the final step after finding 9x = 4.3 in the recurring decimal problem?

  You would divide both sides by 9 to solve for x.
• What is the result of $4.77 - 0.47$?


  $4.3$
• How do you subtract $7 - 7$?


  The result is zero.
• What is the result of $7 - 4$?


  The result is three.
• What is $4 - 0$ equal to?


  It is equal to four.
• What do you get when you subtract $10x - 1x$?


  You get $9x$.
• What is the decimal result when subtracting $4.77 - 0.47$?


  The result is $4.3$.
• What should you do before converting a decimal to a fraction?

  Multiply both sides by 10.
• What is the equation after multiplying $4.3$ by 10?


  The equation is $90x =$$43$.
• What is the simplified form of $x =$$\frac{43}{90}$?


  The simplified form is $x =$$\frac{43}{90}$.
• How do you check if a fraction can be simplified?

  Check if both the numerator and denominator are divisible by the same number.
• What is the prime factorization of $525$?


  The prime factorization is $3 \times 5^2 \times 7$.
• What does a negative exponent indicate?

  It indicates the reciprocal of the base.
• What does the denominator in a power represent?

  It represents the root of the number.
• What is the square root of $25$?


  The square root is $5$.
• What is $5^{-1}$?


  $\frac{1}{5}$
• What is $(\frac{8}{27})^{\frac{2}{3}}$?


  The result is $\frac{4}{9}$.
• What is the cube root of $8$?


  The cube root is $2$.
• What is the square root of $16$?


  The square root is $4$.
• What is the standard form of $0.0034$?


  The standard form is $3.4 \times 10^{-3}$.
• What is $0.5 \times 10^5$ in standard form?


  It is $5 \times 10^4$.
• What is the result of $3 \div 6$?


  The result is $\frac{1}{2}$.
• What happens to the power when the number is made larger in scientific notation?

  The power decreases by one.