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Showing posts with label Maths 9709. Show all posts
Showing posts with label Maths 9709. Show all posts

11 January 2024

Statistics 5.5. The normal distribution

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. Continuous random variables: Infinite number of possible outcomes
    • histograms
      • area under curve = 1
    • normal curve: bell shaped, symmetrical
      • mean = median = mode
  2. The normal distribution:
    • The standard normal variable Z
    • Critical values table
    • Standardizing a normal distribution
    • Modeling in real-life situations
  3. Normal approximation to the binomial distribution
    • continuity correction: used when we approximate a discrete distribution by a continuous distribution

10 January 2024

Statistics 5.4.2. Discrete random variables: The binomial and geometric distributions

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. The binomial distribution: In a fixed number of trials, how many successes are there?
  2. The geometric distribution: In an infinite number of trials, what is the probability of the first successful trial?
  3. Variance Var(X) and expectation/mean E(X)

09 January 2024

Statistics 5.4.1. Discrete random variables: Probability distribution

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. discrete random variables
  2. expected outcome / expectation: E(X), a.k.a. the mean
  3. variance: Var(X) - the spread of values around the mean

08 January 2024

Statistics 5.3. Probability

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. addition and multiplication of probabilities
  2. exclusive events: events that canNOT occur at the same time
  3. independent events: one event occurs and has NO affect on the other, regardless of whether the second occurs or not
    • determining independent and dependent events
  4. conditional probabilities

06 January 2024

Statistics 5.2. Permutations and Combinations

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. permutations: order/ arrangement matters
  2. combinations: order/ arrangement DOESN'T matter
  3. arrangements of objects
    • with repetition
    • with restriction

Statistics 5.1.3. Measures of Variation

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. range, interquartile range
  2. cumulative frequency graphs
  3. box-and-whisker diagrams
  4. variance and standard deviation
    • grouped data
    • ungrouped data
  5. coded data

03 January 2024

Statistics 5.1.2. Measures of Central Tendency

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. mean, median, mode
  2. grouped frequency tables
  3. coded data

01 January 2024

Statistics 5.1.1. Representation of data

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. suitable ways of presenting raw data
  2. stem-and-leaf diagrams
  3. histograms
  4. cumulative frequency graphs

30 December 2023

Pure 1.8. Integration

(9709) CIE A Level Maths 2023 - 2025

Hey folks, congrats! You've reached the final lesson of the Pure 1 content.

1. Revision notes


Key concepts
  1. the reverse process of differentiation
  2. evaluation of a constant of integration
  3. definite and indefinite integrals
  4. the area of a region
    • under a curve and an axis
      • between a curve and a line
      • between 2 curves
    • volume of revolution about one axis

29 December 2023

Pure 1.7.2. Further Differentiation

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. differentiation of increasing and decreasing functions
  2. rates of change
  3. stationary points: maximum, minimum

Pure 1.7.1. Differentiation

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. gradient of a curve
  2. derivatives; multiples, sums, differences of functions
  3. the chain rule
  4. differentiation of gradients, tangents and normals

28 December 2023

Pure 1.6. Series

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. binomial expansion
  2. binomial coefficients
  3. arithmetic progressions
  4. geometric progressions, convergence and sum to infinity (where applicable)
  5. formulae for nth term

Pure 1.5. Trigonometry

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. sketch and use graphs of sine, cosine and tangent functions
  2. exact values
  3. inverse trigonometric relations
  4. trigonometric identities

26 December 2023

Pure 1.4. Circular Measure

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. the relationship between radians and degrees
  2. calculating the arc length of a circle
  3. calculating the sector area of a circle

Pure 1.3. Coordinate Geometry

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. equation of a straight line
  2. equation of a circle
  3. points of intersection on a graph = solutions to equations

Pure 1.2. Functions

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. a function, its domain and range
  2. determine a one-one function
  3. illustrate (in graph form) a function and its inverse
  4. transformations: translation, reflection, stretch

Pure 1.1. Quadratics

(9709) CIE A Level Maths 2023 - 2025

1. Revision notes


Key concepts
  1. completing the square
  2. find the discriminant
  3. quadratic equations, and quadratic inequalities
  4. simultaneous equations (linear and quadratic); substitution

An update, and AS Level Maths 9709 revision notes!

Hey guys, it's been a while hasn't it :) This is Emma, one of the co-authors of this blog. Thank you for tuning into the blog to aid your revision all these years.

The handwritten notes you've seen on here are actually notes that I wrote for myself in revision for my A Levels back in 2014-2016. You might have noticed that besides notes for Biology, there were also notes for Chemistry and Physics - this was because they weren't initially intended for the blog, hence the pale handwriting in pencil in some notes, and real oddball abbreviations in others. After I took my exams, my co-author insisted that it was a good idea to upload the notes anyways. And here they have lain ever since.

Either way, as authors of the blog, we'd like to say a big thank you to all of the students who have given these notes a chance in your revision rotation, even if you had to channel your inner Sherlock Holmes to decipher those abbreviations and semi-transparent handwriting. 

For my AS Levels, I took the three Sciences and Maths, and dropped Physics going into my A2 year. I'm afraid this is why there has been no A2 Physics notes to be seen on this blog :') As much as I loved the subject and all the ways it helped explain the mechanisms of things taking place around me, it was more than my brain could digest at the depth the A2 subjects delved into.

It's been roughly 7.5 years since I took my A Levels, and since then I've gone off to college in the States, studied horticulture (plants and things), graduated in 2020, returned home and started tutoring IELTS. A year into that, I started tutoring IGCSE Sciences as well and this school year, I've decided to tackle the A Levels! starting with Maths 9709. 

There are handwritten notes (digital this time!) for CIE/ CAIE IGCSE Coordinated Sciences 0654, examinations 2023-2024. If you're interested, feel free to check them out here

And of course, as I'm tutoring Maths this year, I've also been gathering a bunch of resources together, and making study material out of them, all in one place so that it's easier to revise. 

Syllabus: CIE/ CAIE A Level Maths 9709, examinations 2023-2025

Each chapter will contain:

  1. Study powerpoint: for you to work along with as you learn the material
  2. Revision notes: a summary of the content, to be used once you've already grasped the main concepts from the Study powerpoint
  3. Exercises to practice what you've learnt
  4. and their Solutions.

I'll keep uploading the chapters as they get completed. For those just entering sixth form this school year, please follow along! And thank you for staying tuned! Wishing you guys the best of luck in your self-studies. 

If you have any questions or comments, please leave them down below :) 


Books I'm using for Pure 1 content:








Books I'm using for Statistics 1 content:







All rights to the respective authors and publishers.