Everything You Need for GCSE Maths Higher Paper 2 - 7th June 2023 | Unseen Topics from Paper 1

A video revising all of the fundamental unseen topics for Paper 2 that you need to achieve a grade 6-9 in GCSE maths.

These topics are the essential ‘crossover’ topics that appear on both the higher and foundation papers in the (9-1) maths GCSE. This however is not ALL of the question styles within the GCSE.

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💡 Higher and Foundation Revision Checklist 2023💡

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💡 2023 Paper Specific Revision Videos 💡

💎 Foundation 💎

💎 Higher 💎

💡 Time Stamps💡

00:00 Intro
2:26 Product of Prime Factors
3:07 Lowest Common Multiple
4:07 Highest Common Factor
5:40 Drawing Inequalities
6:40 Percentage of an Amount
8:06 Simple Interest
9:39 Compound Interest
11:16 Depreciation
13:36 Reverse Fraction of an Amount
14:43 Standard Form
16:16 Index Laws
17:00 Negative/Fractional Powers
17:53 Combinations
19:35 Error Intervals
21:39 Using a Calculator
24:14 Bounds
27:29 Recurring Decimals to Fractions
30:33 Compound Interest
33:26 Standard Form Multiplication/Division
35:27 Profit/Loss - Finding original amount
39:02 Index Laws
40:51 Expanding Brackets
41:35 Expanding and Simplifying Two Brackets
43:53 Factorising
47:10 Solving Equations
49:28 Rearranging Formula
51:57 Substitution to Find Value
52:49 Solving Simultaneous Equations
56:16 Worded Simulataneous Equations
58:55 Forming Equations
1:01:24 Forming Expressions Perimeter
1:04:34 Angles in Polygons
1:06:34 Solving an Inequality
1:07:12 Number Line Inequalities
1:13:35 Finding the Equation of a Line
1:15:10 Finding Parallel Lines
1:17:41 Expanding Triple Brackets
1:19:44 Factorising Quadratics
1:21:38 Rearranging Formulae Harder
1:24:37 Quadratic nth Term
1:27:59 Completing the Square
1:29:45 Solving Simultaneous Equations
1:34:28 Quadratic Inequalities
1:37:30 Shading Regions for Inequalities
1:42:47 Solving a Quadratic
1:46:20 Simplifying Algebraic Fractions
1:47:43 Solving Algebraic Fractions
1:51:34 Iterations
1:55:29 Graph Transformations (minimum point)
1:59:17 Algebraic Proof
2:02:44 Finding Equation of Tangent
2:06:34 Sharing Amount in Ratio
2:09:26 Triple Ratio (a:b:c)
2:10:34 Exchange Rates
2:12:16 Best Buys
2:14:30 Finding Single Amounts
2:16:07 Density
2:18:48 Speed Distance Time
2:22:48 Proportion
2:24:12 Capture/Recapture
2:25:38 Direct/Inverse Proportion
2:27:05 Ratio with Fractions (shapes)
2:29:57 Equivalent Ratios
2:32:41 Speed Time Graph
2:39:33 Pythagoras Theorem
2:41:44 Finding Angles
2:44:30 Area/Circumference of Circles
2:46:22 Area of Trapezium
2:47:18 Surface Area/Volume of Cuboid
2:49:56 Surface Area of Cylinder
2:51:46 Similar Shapes
2:53:09 Bearings
2:55:22 Translating by Vector
2:56:22 Reflection
2:57:54 Rotation
2:59:07 Enlargement
3:00:55 Volume of Frustum
3:03:30 Similar Cones/Cylinders
3:07:17 Enlargement with Negative Fraction SF
3:11:55 Congruent Triangles
3:14:35 Length Sine/Cosine Rule
3:17:21 Angle Sine/Cosine Rule
3:24:10 Area of Triangle
3:27:01 Vectors
3:33:45 Circle Sectors
3:36:12 Averages from Table
3:37:48 Estimate Averages from Table
3:40:19 Stem and Leaf Diagrams
3:41:33 Drawing a Pie Chart
3:44:07 Boxplot
3:48:06 Drawing Cumulative Frequency Graphs
3:52:40 Drawing Histograms
3:57:49 Reverse Mean
2:37:21 Proportion
4:00:32 Probability Tables
4:02:11 Probability Two-Way Table
4:04:10 Frequency Tree
4:07:26 Venn Diagrams
4:19:07 Probability Tree
4:22:54 Algebraic Probability Tree

Disclaimer: It would be impossible to cover every single topic in the maths curriculum in this timeframe, the topics chosen here are the fundamental topics that I work on with my own students and both higher and foundation. You should always conduct your own subject analysis using your revision guides and teachers to ensure that you cover any topics not mentioned in this particular video.

Music: Over N Over
Musician: Not The King.👑

[TheGCSEMathsTutor]

I have removed the topics out of a previous video that "should" no longer be needed! Please note that the removed topics "could" still come come up although are more unlikely now! AQA students I would advise that you also revise circle theorems - this was something that came up in Edexcel but required too much time in an already very long revision video, and don't worry about recurring decimals (which I have included here as it didn't come up in Edexcel paper 1!

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Freesources:

💡Download my FREE Ultimate Revision Guide for the 2023 exam here💡


💡 FREE Higher and Foundation Revision Checklist 2023💡


💡Download my FREE practice booklets for the 2023 exam here💡

[ellasorchid]

[NUMBER]
2:26 Product of Prime Factors
3:07 Lowest Common Multiple
4:07 Highest Common Factor
5:40 Drawing Inequalities
6:40 Percentage of an Amount
8:06 Simple Interest
9:39 Compound Interest
11:16 Depreciation
13:36 Finding original amount by fraction
14:43 Standard Form
16:16 Index Laws
17:00 Negative/Fractional Powers
17:53 Combinations
19:35 Error Intervals
21:39 Using a Calculator
24:14 Bounds
27:29 Recurring Decimals to Fractions
30:33 Compound Interest for Multiple Years
33:26 Standard Form Multiplication/Division
35:27 Profit/Loss - Finding original amount

[ALGEBRA 39:00]
39:02 Index Laws
40:51 Expanding Brackets
41:35 Expanding and Simplifying Two Brackets
43:53 Factorising
47:10 Solving Equations
47:28 Rearranging Equation
51:57 Substitution to find Value
52:49 Solving Simultaneous Equations
56:16 Worded Simulataneous Equations
58:55 Forming Equations
1:01:24 Expressions to solve Perimeter
1:04:34 Solving Pentagon Angles
1:06:34 Solving an Inequality
1:07:12 Drawing Graph Inequalities
1:13:35 Finding Equation of a Line
1:15:10 Finding Parallel Lines
1:17:41 Expanding Triple Brackets
1:19:44 Factorising Quadratics
1:21:38 Rearranging Equation w/ 2 Xs
1:24:37 Quadratic nth Term
1:27:59 Completing the Square
1:29:45 Solving Simultaneous Equations
1:34:28 Quadratic Inequalities
1:37:30 Shading Regions for Inequalities
1:42:47 Solving a Quadratic
1:46:20 Simplifying Algebraic Fractions
1:47:43 Solving Algebraic Fractions
1:51:34 Iterations
1:55:29 Graph Transformations (minimum point)
1:59:17 Algebraic Proof
2:02:44 Finding Equation of Tangent

[RATIO 2:06:32]
2:06:34 Sharing Amount in Ratio
2:09:26 Triple Ratio (a:b:c)
2:10:34 Exchange Rates
2:12:16 Best Buys
2:14:30 Finding Single Amounts
2:16:07 Density
2:18:48 Speed Distance Time
2:22:48 Proportion
2:24:12 Capture/Recapture
2:25:38 Direct/Inverse Proportion
2:27:05 Ratio with Fractions (shapes)
2:29:57 Equivalent Ratios
2:32:41 Speed Time Graph

[GEOMETRY 2:39:29]
2:39:33 Pythagorus Theorum
2:41:44 Finding Angles
2:44:30 Area/Circumference of Circles
2:46:22 Area of Trapezium
2:47:18 Surface Area/Volume of Cuboid
2:49:56 Surface Area of Cylinder
2:51:46 Similar Shapes
2:53:09 Bearings
2:55:22 Translating by Vector
2:56:22 Reflection
2:57:54 Rotation
2:59:07 Enlargement
3:00:55 Volume of Frustum
3:03:30 Similar Cones/Cylinders
3:07:17 Enlargement with Negative Fraction SF
3:11:55 Congruent Triangles
3:14:35 Length Sine/Cosine Rule
3:17:21 Angle Sine/Cosine Rule
3:24:10 Area of Triangle
3:27:01 Vectors
3:33:45 Circle Sectors

[STATISTICS 3:36:09]
3:36:12 Averages from Table
3:37:48 Estimate Averages from Table
3:40:19 Stem and Leaf Diagrams
3:41:33 Drawing a Pie Chart
3:44:07 Boxplot
3:48:06 Drawing Cumulative Frequency Graphs
3:52:40 Drawing Histograms
3:57:49 Reverse Mean

[PROBABILITY 4:00:29]
2:37:21 Proportion
4:00:32 Probability Tables
4:02:11 Probability Two-Way Table
4:04:10 Frequency Tree
4:07:26 Venn Diagrams
4:19:07 Probability Tree
4:22:54 Algebraic Probability Tree




AHHH! HAPPY REVISION! Good luck for Wednesday :')
Make sure to revise the things you don't know and do past papers <3
Try your hardest (even if you think you failed paper 1)!!

[acutedynamo]

GGOD LUCK FOR PAPER 2 ON THE 7TH OF JUNE GUYS REMEMBER, IF U DID BAD IN PAPER 1, 2/3 OF THE GRADE STILL TO PLAY FOR 160 MARKS, YOU CAN DO

[authenticroots]

1. Number and Arithmetic:
- Factors: The numbers that divide evenly into a given number.
- Multiples: The numbers obtained by multiplying a given number by integers.
- Prime Numbers: Numbers that have exactly two factors, 1 and themselves.
- LCM (Least Common Multiple): The smallest multiple that is divisible by two or more numbers.
- HCF (Highest Common Factor): The largest factor that divides two or more numbers.
- BODMAS: The order of operations: Brackets, Orders (i.e., powers and square roots), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- Percentage: Part/whole × 100.

2. Algebra:
- Linear Equations: ax + b = 0, where a and b are constants.
- Quadratic Equations: ax^2 + bx + c = 0, where a, b, and c are constants.
- Simultaneous Equations: Two or more equations with two or more variables.
- Arithmetic Sequences: nth term = a + (n - 1)d, where a is the first term and d is the common difference.
- Geometric Sequences: nth term = a × r^(n-1), where a is the first term and r is the common ratio.

3. Geometry:
- Pythagorean Theorem: In a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides: a^2 + b^2 = c^2.
- Area of a Rectangle: A = length × width.
- Area of a Triangle: A = (base × height) / 2.
- Area of a Circle: A = πr^2, where r is the radius.
- Circumference of a Circle: C = 2πr.
- Volume of a Prism: V = base area × height.
- Volume of a Cylinder: V = πr^2h, where r is the radius and h is the height.
- Surface Area of a Prism: SA = 2(base area) + (perimeter of base × height).
- Surface Area of a Cylinder: SA = 2πr^2 + 2πrh.

4. Trigonometry:
- Sine (sin) Formula: sin θ = opposite / hypotenuse.
- Cosine (cos) Formula: cos θ = adjacent / hypotenuse.
- Tangent (tan) Formula: tan θ = opposite / adjacent.
- Pythagorean Identities: sin^2 θ + cos^2 θ = 1, 1 + tan^2 θ = sec^2 θ, 1 + cot^2 θ = cosec^2 θ.
- Trigonometric Ratios: sin θ = opposite / hypotenuse, cos θ = adjacent / hypotenuse, tan θ = opposite / adjacent.

5. Statistics:
- Mean: The sum of all the values divided by the number of values.
- Median: The middle value in a sorted list of numbers.
- Mode: The value(s) that appear most frequently in a list of numbers.
- Range: The difference between the largest and smallest values in a list of numbers.

Here are the formulas related to ratio and proportion:

1. Ratio:
- Ratio: A comparison of two or more quantities. It can be expressed as a fraction, using the ":" symbol, or as a decimal.
- Simplifying Ratios: Divide both sides of the ratio by their greatest common divisor to simplify it.

2. Proportion:
- Proportion: An equation that states two ratios are equal.
- Cross Multiplication: If a/b = c/d, then ad = bc. This property is often used to solve proportion problems.

3. Direct Proportion:
- Direct Proportion: When two quantities change in the same ratio.
- Direct Proportion Formula: If y is directly proportional to x, then y = kx, where k is the constant of proportionality.

4. Inverse Proportion:
- Inverse Proportion: When two quantities change in inverse ratio.
- Inverse Proportion Formula: If y is inversely proportional to x, then y = k/x, where k is the constant of proportionality.

5. Probability:

-Probability of an Event: P(A) = (Number of favorable outcomes) / (Total number of possible outcomes).
-Complementary Probability: P(A') = 1 - P(A), where A' denotes the complement of event A.
-Union of Events: P(A or B) = P(A) + P(B) - P(A and B).
-Conditional Probability: P(A|B) = P(A and B) / P(B), where A and B are events.
-Independent Events: P(A and B) = P(A) × P(B), where A and B are independent events.

These formulas should cover the basics of ratio and proportion. Remember, ratio and proportion concepts often involve solving problems using these relationships and applying the appropriate formulas.





Hope you all do well!

[shadow]

OMG I have higher maths tomorrow and Im panicked because I didn't do too well on paper one (in other words it went crap) So Im here to attempt to save my grades. I've always loved this channel and thank you so much Sir for this video- I'll try and do as much as I can of it. AND AS FOR EVERYONE ELSE GOOD LUCK WE GOT THIS HOPEFULLY, wait no I should be more positive WE GOT THIS.

[GCSEALevelMaths]

Great job sir fantastic 4 hour video! Really well explained!! Good luck year 11 Students for paper 2 and paper 3!

[jaydonkelly]

This man is carrying me through my gcses 🙏💀💀

[hmansz]

my worst subject is maths and i hate revising it. im praying

[shannon]

watched the whole thing it was so helpful! good luck for tomorrow guys :)

[rsxzy]

gonna try and watch this all before monday, thank you

[something]

People saying pp1 was easy got me worried I'm gonna fail maths so gotta do really well for next papers

[Wickeditz]

We need a face reveal from the person who has carried us through maths

[FlixRacing]

THANK YOU SO MUCH! Good luck everyone!

[xiaosimp]

For the ordinary number to the standard form question, you can use your calculator to find the standard form (I think it normally work on Casio calculator- don’t know if it work on other)

1)You put down the ordinary number on your calculator and press equal sign.
2) than press the “ ENG “ button
3) it should give you the standard form of it which should save you time.

However, it only give it by the multiple of power by three (such as power of 3, 6, 9…)
So if it give you the answer a number higher than 10 or lower than 1 (for example) : 60 x 10 by the power of 6, you need to convert it yourself to 6 x 10 by the power 7 ( I think)

Also, you can use the calculator (once again, I’ve only tried it on a CASIO calculator), to convert the time thingy.
Example:

Convert the 0.30 in 5.30 hours to minutes…

1) type in 5.30 and press the equal sign
2) press the button with sign ° ＇＂
3) you should get 5 ° 18 ’ 0 “
The first number is the hour, the second number is the minutes. The third number ( I think) hold be seconds.
Once again, don’t know if It will always work.

[nonenone]

aqa higher maths paper 1 absoulutely finished me, hopefully I can revive myself in paper 2 and paper 3

[TrashyPeachy_]

I did horrible in paper 1 so i hope I'll do better in paper 2 🙇🏿‍♀️

[Podcast_shorts_]

bro i really just watched the whole 4 hours in one sitting

[Nevfresh]

thank you so much for what you do. i do higher and my math exams yesterday was a breeze thanks to you :)

[bobosaurus]

You are an absolute legend! Thank you so much!

[tash]

2:44:28
for the shape on the right:
would you get a mark for saying x + 75 = 150 and then minus 75 from 150 to get 30?