(78) THE ULTIMATE REVISION VIDEO - HIGHER GCSE | GCSE 2024

Overview

  • The video covers a huge past paper with 106 questions intended to prepare students for the upcoming GCSE higher maths exam.

  • The student is encouraged to attempt each question first before checking solutions in the video.

  • A checklist of all topics is available to track progress.

Materials Needed

  • Key equipment required: pencil, ruler, pen, compasses, scientific calculator.

  • Important symbol: If a question is marked with a paper one topic symbol, a calculator should not be used for that question.

Study Approach

  • Practice First: Attempt each question before watching the solutions to identify areas for revision.

  • Revisit Difficult Topics: Focus on the questions that were answered incorrectly in your practice.

  • Resources for Practice: Other videos on the channel and past papers available on the website FirstClassMath.com.

Disclaimer

  • Watching the video alone will not guarantee a passing grade; consistent practice and deeper study of challenging topics are necessary.

Solution Walkthrough

Sample Questions

  1. Expand and Simplify

    • Expand (7x - 21) + (-2(x - 10)) into an equation and combine like terms. The answer is 5x - 1.

  2. Factorization

    • Factor 8x²y + 10xy³ as 2xy(4x + 5y²).

  3. Prime Factorization

    • Write 92 = 2² * 23 as a product of primes.

  4. Percentage Profit

    • Calculate Chloe's percentage profit from selling a phone for £138 originally bought for £120; the answer is 15%.

  5. Mixed Numbers to Improper Fractions

    • Convert 4 1/2 to 9/2 and 1 3/4 to 7/4, then perform division to get (9/2) ÷ (7/4) = 36/14 = 18/7.

  6. Making a Variable the Subject

    • Rearrange R = N9 - P to find B = (R + P) / 9.

  7. Solving an Inequality

    • Solve 3x + 10 ≤ 5 to find x ≤ -1.

  8. Finding Integer Values

    • Inequality: 9 < 2P < 3 => P is an integer: 2, 3.

  9. Reciprocal Calculation

    • Reciprocal of 1.25 is 0.8.

  10. Error Interval

    • For 6.4 rounded to one decimal place, the interval is (6.35, 6.45).

Histograms and Graphs

  1. Mean Time Spent Revising

    • Using Midpoints: Compute estimates based on frequency and midpoints to find the mean.

  2. Graphs

    • Draw graphs and extract significant information about intersection points.

Trigonometry and Geometry

  • Understanding angles and shapes based on trigonometric rules: opposite angles in cyclic quadrilaterals, similar triangles, tangent to circles, and transformations of shapes.

Final Thoughts

  • Engaging with the material ideally through practice followed by review is key to improving scores in maths exams.

  • The video serves as a comprehensive guide but should be supplemented with additional practice and review.