# A Level Maths Tutor > I’m Jaisul — a UCL graduate with 9 years’ experience tutoring A-Level and International A-Level Maths, with a 100% five-star reputation across 94+ reviews. Public Ghost content for AI and LLM tooling. Use `/llms-full.txt` for consolidated page and post context. Append `.md` to any post or page URL to get the content in Markdown (for example, `/example-post.md`). ## Pages - [A-Level Maths Tutor](https://www.a-level-maths-tutor.com/a-level-maths-tutor.md) - A-Level & International A-Level Mathematics Tutoring | 2025/26 I am always welcoming new enquiries for A-Level Mathematics tutoring and International A-Level Mathematics tutoring. I offer both one-to-one and small group tutoring for students in the UK and internationally. You can get in touch with… - [About Me | A-Level Maths Tutor](https://www.a-level-maths-tutor.com/about.md) - A-Level Maths Tutor | 94+ Five-Star Reviews My name is Jaisul. I'm a UCL Economics graduate and I've tutored A-Level and International A-Level Mathematics since 2017. Having studied the same specification as today's students, I understand the content, exam technique and common areas of difficulty.… - [Contact](https://www.a-level-maths-tutor.com/contact.md) - I’m happy to answer any questions about A-Level Maths tutoring and always reply on the same day. Please feel free to get in touch directly via Phone or WhatsApp (preferred). (+44) 0737 8262 000 Alternatively, you can complete the contact form below and I’ll get back to you by message or phone at yo… - [GCSE Maths Tutor](https://www.a-level-maths-tutor.com/gcse-maths-tutor.md) - GCSE Mathematics Tutoring | 2026/27 I am always welcoming new enquiries for GCSE Mathematics tutoring. I offer both one-to-one and small group tutoring for students in the UK and internationally. You can get in touch with me via WhatsApp, or use the contact form listed below and I will get back to… - [A-Level Maths Tutor | Reviews & Feedback](https://www.a-level-maths-tutor.com/reviews.md) - What Students and Parents Say I've been tutoring A-Level Mathematics since 2017, working with students across the UK and internationally. Here's what they have to say: Clear Explanations & Understanding "His lessons were clear, well planned and made complex topics much easier to understand." — Khus… ## Posts - [GCSE Maths | Algebra](https://www.a-level-maths-tutor.com/gcse-maths-algebra.md) - GCSE Maths | Algebra Collecting like terms $$3a + 2b + 4a + b$$ $$= (3a+4a) + (2b+b)$$ $$= 7a + 3b$$ Question 1 (a) $3a+2b+4a+b$ (b) $7y+5y+2h+2h$ (c) $g+8a+2a+g$ (d) $7m+7p+8m+p+2p$ (e) $9e+2+e+2$ (f) $4+3a+2a+8$ (g) $2y+4+3y-1$ (h) $8+3w-w-3$ (i) $5-4s-2+10s$ (j) $3x+6y+5x-2y$ (k) $6m-2s+11s+m$ (… - [GCSE Maths | Trigonometry](https://www.a-level-maths-tutor.com/gcse-maths-trigonometry.md) - What is the sine rule? a/sin(A) = b/sin(B) sin(A)/a = sin(B)/b Question 1 - finding a length using the sine rule Show Answers a) $x = 6.39$ cm b) $x = 6.65$ cm c) $x = 60.5$ mm Question 2 - finding an angle using the sine rule Show Answers a) $\theta = 37.1°$ b) $\theta = 26.8°$ c) $\theta = 40.5°$… - [GCSE Maths | Surds](https://www.a-level-maths-tutor.com/gcse-maths-surds.md) - Square numbers: $1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144$ Cube numbers: $1, 8, 27, 64, 125$ Powers of 4: $1, 16, 81$ Worked Example $(\sqrt{10})^2 = 10$ Question 1 a) $(\sqrt{15})^2$ b) $(\sqrt{2})^2$ c) $(\sqrt{20})^2$ d) $(\sqrt{11})^2$ e) $(\sqrt{31})^2$ f) $(\sqrt{8})^2$ g) $(\sqrt{45})^… - [AS-Level Maths | Integration](https://www.a-level-maths-tutor.com/as-level-maths-integration.md) - To integrate: raise the power by one, then divide the coefficient by the new power. $\displaystyle\int ax^n \, dx = \frac{a}{n+1}x^{n+1} + C$ Using limits gives the area between the curve and the $x$-axis. Question 1 Integrate the following expressions with respect to $x$. a) $\displaystyle\int 2\s… - [GCSE Maths | Ratios](https://www.a-level-maths-tutor.com/gcse-maths-ratios.md) - Simple Ratios Worked Example Share £40 in the ratio 3:5 $3 : 5 \quad (8)$ $? : ? \quad (40)$ $sf = 40 \div 8 = 5$ $3 \times 5 = 15, \quad 5 \times 5 = 25$ Question 1 a) Share £20 in the ratio 2:3 b) Share 15cm in the ratio 1:2 c) Divide £24 in the ratio 1:3 d) Share 35 sweets in the ratio 4:3 e) Di… - [GCSE Maths | Compound Interest](https://www.a-level-maths-tutor.com/gcse-maths-compound-interest.md) - Final value = original value $\times$ multiplier$^{\text{(number of years)}}$ Worked Example £1000 is invested at 4% per year for 3 years. Multiplier $= 1.04$ Final value $= 1000 \times 1.04^3 = £1124.86$ Question 1 Find the total value after the given number of years, to the nearest penny. a) £500… - [GCSE Maths | Percentages](https://www.a-level-maths-tutor.com/gcse-maths-percentages.md) - Percentage change $= \dfrac{\text{new} - \text{old}}{\text{old}} \times 100$ Worked Example Original: 60, New: 72 Percentage change $= \dfrac{72-60}{60} \times 100 = \dfrac{12}{60}\times 100 = 20\%$ increase Question 1 Calculate the percentage change. a) Original: 50, New: 65 b) Original: 80, New:… - [Edexcel AS-Level Maths | Trigonometry](https://www.a-level-maths-tutor.com/edexcel-as-level-maths-trigonometry.md) - Question 1 Q12 - Edexcel AS-Level Maths Paper 1 June 2018 Question 2 Q12 - Edexcel AS-Level Maths Paper 1 June 2019 Question 3 Q9 - Edexcel AS-Level Maths Paper 1 June 2020 Question 4 Q12 - Edexcel AS-Level Maths Paper 1 June 2021 Question 5 Edexcel AS-Level Maths Paper 1 June 2022 Question 6 Q12 -… - [A-Level Maths | Indices](https://www.a-level-maths-tutor.com/a-level-maths-indices.md) - Rules of Indices $x^{\frac{1}{n}} = \sqrt[n]{x}$ $x^{\frac{m}{n}} = \left(\sqrt[n]{x}\right)^m$ $x^{-n} = \dfrac{1}{x^n}$ Question 1 Solve each equation. a) $x^{\frac{1}{2}} = 6$ b) $x^{\frac{1}{3}} = 5$ c) $x^{-\frac{1}{2}} = 2$ d) $x^{-\frac{1}{4}} = \tfrac{1}{3}$ e) $x^{\frac{3}{2}} = 8$ f) $x^{… - [Edexcel A-Level Maths | Sequences & Series](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-sequences-series.md) - Question 1 Q4 - Edexcel A-Level Maths Paper 2 June 2018 Question 2 Q11 - Edexcel A-Level Maths Paper 1 June 2019 Question 3 Q5 - Edexcel A-Level Maths Paper 1 June 2020 Question 4 Q13 - Edexcel A-Level Maths Paper 1 June 2020 Question 5 Q15 - Edexcel A-Level Maths Paper 2 June 2020 Question 6 Q3 -… - [Edexcel A-Level Maths | Binomial Distribution](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-binomial-distribution.md) - Question 1 Q3 - Edexcel A-Level Maths Paper 3 June 2018 Question 2 Q4 - Edexcel A-Level Maths Paper 3 June 2019 Question 3 Q1 - Edexcel A-Level Maths Paper 3 June 2022 Question 4 Q4 - Edexcel A-Level Maths Paper 3 June 2022 Question 5 Q2 - Edexcel A-Level Maths Paper 3 June 2023 Question 6 Q1 - Ede… - [Edexcel A-Level Maths | Probability Distribution](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-probability-distribution.md) - Question 1 Q1 - Edexcel A-Level Maths Paper 3 June 2018 Question 2 Q4 - Edexcel A-Level Maths Paper 3 June 2020 Question 3 Q6 - Edexcel A-Level Maths Paper 3 June 2021 Question 4 Q1 - Edexcel A-Level Maths Paper 3 June 2022 Question 5 Q5 - Edexcel A-Level Maths Paper 3 June 2023 Question 6 Q6 - Ede… - [A-Level Maths | Sequences & Series](https://www.a-level-maths-tutor.com/a-level-maths-sequences-series.md) - Sequences $n$: the position of a term · $a$: first term · $d$: common difference · $r$: common ratio Question 1 Write down the first four terms of each sequence. a) $u_n = u_{n-1} + 4, \quad n > 1, \quad u_1 = 3$ b) $u_n = 3u_{n-1} + 1, \quad n > 1, \quad u_1 = 2$ c) $u_{n+1} = 2u_n + 5, \quad n >… - [Edexcel A-Level Maths | Probability](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-probability.md) - Question 1 Q1 - Edexcel A-Level Maths Paper 3 June 2019 Question 2 Q1 - Edexcel A-Level Maths Paper 3 June 2020 Question 3 Q4 - Edexcel A-Level Maths Paper 3 June 2021 Question 4 Q5 - Edexcel A-Level Maths Paper 3 June 2022 Question 5 Q1 - Edexcel A-Level Maths Paper 3 June 2023 Question 6 Q6 - Ede… - [Edexcel A-Level Maths | Measures of Location & Spread](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-measures-of-location-spread.md) - Question 1 Q4 - Edexcel A-Level Maths Paper 3 June 2018 Question 2 Q2 - Edexcel A-Level Maths Paper 3 June 2019 Question 3 Q3 - Edexcel A-Level Maths Paper 3 June 2020 Question 4 Q3 - Edexcel A-Level Maths Paper 3 June 2021 Question 5 Q3 - Edexcel A-Level Maths Paper 3 June 2022 Question 6 Q3 - Ede… - [Edexcel A-Level Maths | Correlation](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-correlation.md) - Question 1 Q2 - Edexcel A-Level Maths Paper 3 June 2018 Question 2 Q3 - Edexcel A-Level Maths Paper 3 June 2019 Question 3 Q2 - Edexcel A-Level Maths Paper 3 June 2020 Question 4 Q2 - Edexcel A-Level Maths Paper 3 June 2021 Question 5 Q6 - Edexcel A-Level Maths Paper 3 June 2022 Question 6 Q2 - Ede… - [Edexcel A-Level Maths | Mechanics Other](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-mechanics-other.md) - Question 1 Q1 - Edexcel A-Level Maths Paper 3 June 2023 Question 2 Q2 - Edexcel A-Level Maths Paper 3 June 2024 A-Level Maths Tutoring I offer one-to-one and small group A-Level Maths tutoring for students across the UK and internationally. With 94+ five-star Google reviews and tutoring experience… - [Edexcel A-Level Maths | Vector Applications](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-vector-applications.md) - Question 1 Q6 - Edexcel A-Level Maths Paper 3 June 2018 Question 2 Q8 - Edexcel A-Level Maths Paper 3 June 2018 Question 3 Q1 - Edexcel A-Level Maths Paper 3 June 2019 Question 4 Q2 - Edexcel A-Level Maths Paper 3 June 2019 Question 5 Q2 - Edexcel A-Level Maths Paper 3 June 2020 Question 6 Q3 - Ede… - [Edexcel A-Level Maths | Forces](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-forces.md) - Question 1 Q7 - Edexcel A-Level Maths Paper 3 June 2018 Question 2 Q3 - Edexcel A-Level Maths Paper 3 June 2019 Question 3 Q1 - Edexcel A-Level Maths Paper 3 June 2020 Question 4 Q2 - Edexcel A-Level Maths Paper 3 June 2021 Question 5 Edexcel A-Level Maths Paper 3 June 2022 Question 6 Q2 - Edexcel… - [Edexcel A-Level Maths | Projectiles](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-projectiles.md) - Question 1 Q10 - Edexcel A-Level Maths Paper 3 June 2018 Question 2 Q5 - Edexcel A-Level Maths Paper 3 June 2019 Question 3 Q5 - Edexcel A-Level Maths Paper 3 June 2020 Question 4 Q4 - Edexcel A-Level Maths Paper 3 June 2021 Question 5 Q5 - Edexcel A-Level Maths Paper 3 June 2022 Question 6 Q5 - Ed… - [Edexcel A-Level Maths | Moments](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-moments.md) - Question 1 Q9 - Edexcel A-Level Maths Paper 3 June 2018 Question 2 Q4 - Edexcel A-Level Maths Paper 3 June 2019 Video Solution Question 3 Q4 - Edexcel A-Level Maths Paper 3 June 2020 Video Solution Question 4 Q3 - Edexcel A-Level Maths Paper 3 June 2021 Question 5 Edexcel A-Level Maths Paper 3 June… - [Probability Tree Diagrams | GCSE Maths](https://www.a-level-maths-tutor.com/probability-tree-diagrams-gcse-maths.md) - Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 GCSE Maths Tutoring I offer one-to-one and small group GCSE Maths tutoring for students across the UK and internationally. With 94+ five-star Google reviews and tutoring experience since 2017, I specialise in helping students underst… - [PDF Files - Edexcel iGCSE Maths Past Papers](https://www.a-level-maths-tutor.com/pdf-files-edexcel-igcse-maths-past-papers.md) - Paper 1 QP Edexcel iGCSE Maths Paper 1 January 2019Edexcel iGCSE Maths Paper 1 January 2019.pdf724 KBdownload-circleEdexcel iGCSE Maths Paper 1 January 2020Edexcel iGCSE Maths Paper 1 January 2020.pdf1 MBdownload-circleEdexcel iGCSE Maths Paper 1 January 2021Edexcel iGCSE Maths Paper 1 January 2021… - [Edexcel A-Level Maths | Quadratics](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-quadratics.md) - Question 1 Edexcel A-Level Maths Paper 1 June 2018 Question 2 Edexcel A-Level Maths Paper 2 June 2018 Question 3 Edexcel A-Level Maths Paper 1 June 2020 Question 4 Edexcel A-Level Maths Paper 1 June 2020 Question 5 Edexcel A-Level Maths Paper 2 June 2020 Question 6 Edexcel A-Level Maths Paper 1 Jun… - [AS-Level Maths | Differentiation](https://www.a-level-maths-tutor.com/as-level-maths-differentiation.md) - To differentiate $y = ax^n$: multiply the coefficient by the power and subtract one from the power, giving $\displaystyle\frac{dy}{dx} = nax^{n-1}$. Question 1 Differentiate the following expressions with respect to $x$. a) $y = x^6 - 7x^2$ b) $y = 1 - 6x^{\frac{5}{2}}$ c) $y = 2x + 8x^{-2}$ d) $y… - [AS-Level Maths | Binomial Expansion](https://www.a-level-maths-tutor.com/as-level-maths-binomial-expansion.md) - Question 1 $(a + b)^n = a^n + \dbinom{n}{1}a^{n-1}b + \cdots + \dbinom{n}{r}a^{n-r}b^r + \cdots + b^n$ Find the first four terms in the expansion in ascending powers of $x$ of (a) $(1 + x)^{10}$ (b) $(1 + 2x)^8$ (c) $\left(1 - \tfrac{1}{2}x\right)^7$ (d) $(2 + 5x)^6$ Answers (a) $1 + 10x + 45x^2 +… - [A-Level Maths | Cubics](https://www.a-level-maths-tutor.com/a-level-maths-cubics.md) - Question 1 Divide the cubic by the linear factor, and fully factorise the cubic if possible. (a) $x^3+2x^2-x-2$ by $x+1$ (b) $x^3+2x^2-9x+2$ by $x-2$ (c) $20+x+3x^2+x^3$ by $x+4$ (d) $2x^3-x^2-4x+3$ by $x-1$ (e) $6x^3-19x^2-73x+90$ by $x-5$ (f) $-x^3+5x^2+10x-8$ by $x+2$ (g) $x^3-2x+21$ by $x+3$ (h… - [Edexcel A-Level Maths Past Papers 2025](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-past-papers.md) - Edexcel A-Level Maths June 2025 * Edexcel A-Level Maths Paper 1 June 2025 | Mark Scheme | Video Answers * Edexcel A-Level Maths Paper 2 June 2025 | Mark Scheme | Video Answers * Edexcel A-Level Maths Paper 3a June 2025 | Mark Scheme | Video Answers * Edexcel A-Level Maths Paper 3b June 2025 | Mark… - [PDF Files - Edexcel A-Level Maths Past Papers](https://www.a-level-maths-tutor.com/pdf-files.md) - Edexcel A-Level Maths Paper 1 June 2025Edexcel A-Level Maths Paper 1 June 2025.pdf1 MBdownload-circleEdexcel A-Level Maths Paper 1 June 2025 MSEdexcel A-Level Maths Paper 1 June 2025 MS.pdf1 MBdownload-circleEdexcel A-Level Maths Paper 2 June 2025Edexcel A-Level Maths Paper 2 June 2025.pdf940 KBdow… - [OCR MEI A-Level Maths | Moments](https://www.a-level-maths-tutor.com/ocr-mei-a-level-maths-moments.md) - Question 1 OCR MEI A-Level Maths Paper 1 June 2018 Question 2 OCR MEI A-Level Maths Paper 1 June 2019 Question 3 OCR MEI A-Level Maths Paper 1 June 2020 Question 4 OCR MEI A-Level Maths Paper 1 June 2021 Question 5 OCR MEI A-Level Maths Paper 1 June 2022 Question 6 OCR MEI A-Level Maths Paper 1 Jun… - [AS-Level Maths | Trigonometry](https://www.a-level-maths-tutor.com/as-level-maths-trigonometry.md) - Worked Example $\sin x° = 0.4$, $0 \leq x \leq 360°$ $x = \sin^{-1}(0.4)$ $x = 23.6°, 156.4°$ Question 1 Solve each equation for $x$ in the interval $0 \leq x \leq 360°$. Give your answers to 1 decimal place where appropriate. a) $\sin x° = 0.27$ b) $\sin x° = 0.813$ c) $\sin x° = 0.6$ d) $\sin x°… - [A-Level Maths | Integration](https://www.a-level-maths-tutor.com/a-level-maths-integration.md) - Key Formulae $\displaystyle\int e^{kx}\,dx = \frac{1}{k}e^{kx} + c$ $\displaystyle\int \sin(kx)\,dx = -\frac{1}{k}\cos(kx) + c$ $\displaystyle\int \cos(kx)\,dx = \frac{1}{k}\sin(kx) + c$ $\displaystyle\int \frac{1}{kx+c}\,dx = \frac{1}{k}\ln|kx+c| + C$ Question 1 — Integrating Trig Functions (a) $\… - [Edexcel AS-Level Maths | Logs](https://www.a-level-maths-tutor.com/logs-edexcel-as-level-maths.md) - Question 1 Edexcel AS-Level Maths Paper 1 June 2018 Question 2 Edexcel AS-Level Maths Paper 1 June 2018 Question 3 Edexcel AS-Level Maths Paper 1 June 2020 Question 4 Edexcel AS-Level Maths Paper 1 June 2021 Question 5 Edexcel AS-Level Maths Paper 1 June 2022 Question 6 Edexcel AS-Level Maths Paper… - [Edexcel AS-Level Maths | Exponential Modelling](https://www.a-level-maths-tutor.com/exponential-modelling-edexcel-as-level-maths.md) - Question 1 Edexcel AS-Level Maths Paper 1 June 2019 Question 2 Edexcel AS-Level Maths Paper 1 June 2020 Question 3 Edexcel AS-Level Maths Paper 1 June 2021 Question 4 Edexcel AS-Level Maths Paper 1 June 2022 Question 5 Edexcel AS-Level Maths Paper 1 June 2023 Question 6 Edexcel AS-Level Maths Paper… - [Edexcel AS-Level Maths | Trigonometry of Any Triangle](https://www.a-level-maths-tutor.com/edexcel-as-level-maths-trigonometry-any-triangle.md) - Question 1 Edexcel AS-Level Maths Paper 1 June 2018 Question 2 Edexcel AS-Level Maths Paper 1 June 2019 Question 3 Edexcel AS-Level Maths Paper 1 June 2020 Question 4 Edexcel AS-Level Maths Paper 1 June 2021 Question 5 Edexcel AS-Level Maths Paper 1 June 2022 Question 6 Edexcel AS-Level Maths Paper… - [Edexcel AS-Level Maths | Graphs & Transformations](https://www.a-level-maths-tutor.com/edexcel-as-level-maths-graphs-transformations.md) - Question 1 Edexcel AS-Level Maths Paper 1 June 2018 Question 2 Edexcel AS-Level Maths Paper 1 June 2019 Question 3 Edexcel AS-Level Maths Paper 1 June 2019 Question 4 Edexcel AS-Level Maths Paper 1 June 2020 Question 5 Edexcel AS-Level Maths Paper 1 June 2021 Question 6 Edexcel AS-Level Maths Paper… - [Edexcel AS-Level Maths | Quadratics](https://www.a-level-maths-tutor.com/edexcel-as-level-maths-quadratics.md) - Question 1 Edexcel AS-Level Maths Paper 1 June 2018 Question 2 Edexcel AS-Level Maths Paper 1 June 2018 Question 3 Edexcel AS-Level Maths Paper 1 June 2019 Question 4 Edexcel AS-Level Maths Paper 1 June 2021 Question 5 Edexcel AS-Level Maths Paper 1 June 2021 Question 6 Edexcel AS-Level Maths Paper… - [Edexcel AS-Level Maths | Co-ordinate Geometry](https://www.a-level-maths-tutor.com/edexcel-as-level-maths-coordinate-geometry.md) - Question 1 Edexcel AS-Level Maths Paper 1 June 2018 Question 2 Edexcel AS-Level Maths Paper 1 June 2019 Question 3 Edexcel AS-Level Maths Paper 1 June 2019 Question 4 Edexcel AS-Level Maths Paper 1 June 2019 Question 5 Edexcel AS-Level Maths Paper 1 June 2020 Question 6 Edexcel AS-Level Maths Paper… - [GCSE Maths | Indices](https://www.a-level-maths-tutor.com/gcse-maths-indices.md) - $a^m \times a^n = a^{m+n}$ When the base is the same, add the powers. Worked Example $m^4 \times m^3 = m^{4+3} = m^7$ Question 1 a) $m^2 \times m^3$ b) $m^3 \times m^3$ c) $m^6 \times m^2$ d) $m^7 \times m^3$ e) $m^6 \times m^8$ f) $m^2 \times m$ g) $m \times m^3$ h) $m^7 \times m^8$ i) $m^9 \times… - [Edexcel AS-Level Maths | Variable Acceleration](https://www.a-level-maths-tutor.com/edexcel-as-level-maths-variable-acceleration.md) - Question 1 Edexcel AS-Level Maths Paper 1 May 2018 Question 2 Edexcel AS-Level Maths Paper 1 May 2019 Question 3 Edexcel AS-Level Maths Paper 1 May 2020 Question 4 Edexcel AS-Level Maths Paper 1 May 2021 Question 5 Edexcel AS-Level Maths Paper 1 May 2022 Question 6 Edexcel AS-Level Maths Paper 1 Ma… - [A-Level Maths | Moments](https://www.a-level-maths-tutor.com/a-level-maths-moments.md) - Question 1 Question 2 - [GCSE Maths | Quadratic Simultaneous Equations](https://www.a-level-maths-tutor.com/gcse-maths-quadratic-simultaneous-equations.md) - Question 1 Question 2 - [Revision](https://www.a-level-maths-tutor.com/maths-revision-and-practice-questions.md) - A-Level MathsGCSE Maths - [GCSE Maths](https://www.a-level-maths-tutor.com/gcse-maths-revision.md) - Algebra 1. Algebra | Revision 2. Quadratics | Revision 3. Quadratic simultaneous equations | Revision Number 1. Percentages | Revision 2. Compound interest | Revision 3. Ratios | Revision 4. Indices | Revision 5. Surds | Revision Geometry 1. Trigonometry | Revision Statistics 1. Probability Tree Di… - [GCSE Maths | Quadratics](https://www.a-level-maths-tutor.com/gcse-maths-quadratics.md) - Factorising quadratics Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Solving quadratics by factorising Question 7 Solving quadratics with the quadratic formula Question 8 Completing the square x2 + bx + c = (x+b/2)2 - (b/2)2 + c Question 8 Question 9 Factorising harder quadratic… - [A-Level Maths | Probability Distribution](https://www.a-level-maths-tutor.com/a-level-maths-probability-distribution.md) - Question 1 Question 2 Question 3 Question 4 Question 5 Question 5 Question 6 Question 7 A-Level Maths Tutoring I offer one-to-one and small group A-Level Maths tutoring for students across the UK and internationally. With 94+ five-star Google reviews and tutoring experience since 2017, I specialise… - [AS-Level Maths | Probability](https://www.a-level-maths-tutor.com/as-level-maths-probability.md) - What does P(A) mean? P(A) is the probability of A happening What does P(A') mean? P(A') is the probability of A not happening What does P(A∩B) mean? P(A∩B) is the probability of A and B happening What does P(AUB) mean? P(AUB) is the probability of only A happening, or only B happening, or both A an… - [A-Level Maths | Quadratics](https://www.a-level-maths-tutor.com/a-level-maths-quadratics.md) - Factorising Quadratics Question 1 Factorise (a) $x^2 + 4x + 3$ (b) $x^2 + 7x + 10$ (c) $y^2 - 3y + 2$ (d) $x^2 - 6x + 9$ (e) $y^2 - y - 2$ (f) $a^2 + 2a - 8$ (g) $x^2 - 1$ (h) $p^2 + 9p + 14$ (i) $x^2 - 2x - 15$ (j) $16 - 10m + m^2$ (k) $t^2 + 3t - 18$ (l) $y^2 - 13y + 40$ Completing the Square Que… - [A-Level Maths | Co-ordinate Geometry](https://www.a-level-maths-tutor.com/a-level-maths-coordinate-geometry.md) - Co-ordinates Gradient $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$ Worked Example Find the gradient of the line segment joining $(2,3)$ and $(6,11)$. $m = \dfrac{11-3}{6-2} = \dfrac{8}{4} = 2$ Question 1 Find the gradient of the line segment joining each pair of points. a) $(3, 1)$ and $(5, 5)$… - [A-Level Maths | Binomial Expansion](https://www.a-level-maths-tutor.com/a-level-maths-binomial-expansion.md) - Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Approximating values Question 8 Question 9 Question 10 Question 11 - [A-Level Maths | Partial Fractions](https://www.a-level-maths-tutor.com/a-level-maths-partial-fractions.md) - For distinct linear factors: $\displaystyle\frac{6x}{(x-1)(x+2)} = \frac{A}{x-1} + \frac{B}{x+2}$ Multiply both sides by $(x-1)(x+2)$, then substitute $x=1$ and $x=-2$ to solve for $A$ and $B$. Worked Example $\displaystyle\frac{6x}{(x-1)(x+2)} = \frac{A}{x-1} + \frac{B}{x+2}$ $6x = A(x+2) + B(x-1)… - [Transformations of Graphs | GCSE Maths](https://www.a-level-maths-tutor.com/gcse-maths-transformations-graphs.md) - What are the three types of transformations The three types of transformations are 1. Enlargements (stretch) 2. Translations (movement) 3. Reflections How can we tell if a transformation affects the x-coordinates or the y-coordinates? Transformations outside the bracket affect the y-coordinates Tra… - [A-Level Maths | Graphs & Transformations](https://www.a-level-maths-tutor.com/a-level-maths-graphs-transformations.md) - Sketching straight line graphs 1. find the y-intercept 2. find the x-intercept 3. draw a straight line through two points Sketching circles 1. find the centre 2. find the radius 3. label a few points around the circle 4. sketch the circle Sketching quadratics Question 1 Question 2 Question 3 Questi… - [A-Level Maths | Functions](https://www.a-level-maths-tutor.com/a-level-maths-functions.md) - Range of a Function Question 1 Question 2 Question 3 Question 4 Function Compositions Question 5 Question 6 Inverse Functions Question 7 Question 8 Range and Domain of Inverse Functions Question 9 Question 10 Question 11 Question 12 Question 13 - [A-Level Maths | Implicit Differentiation](https://www.a-level-maths-tutor.com/a-level-maths-implicit-differentiation.md) - Question 1 Question 2 Question 3 Question 4 Question 5 - 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[Edexcel AS-Level Maths | Connected Particles](https://www.a-level-maths-tutor.com/edexcel-as-level-maths-connected-particles.md) - Question 1 Edexcel AS-Level Maths Paper 2 June 2018 Question 2 Edexcel AS-Level Maths Paper 2 June 2019 Question 3 Edexcel AS-Level Maths Paper 2 June 2020 Question 4 Edexcel AS-Level Maths Paper 2 June 2021 Question 5 Edexcel AS-Level Maths Paper 2 June 2022 Question 6 Edexcel AS-Level Maths Paper… - [Edexcel A-Level Maths | Implicit Differentiation](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-implicit-differentiation.md) - Question 1 Edexcel A-Level Maths Paper 1 June 2018 Question 2 Edexcel A-Level Maths Paper 1 June 2020 Question 3 Edexcel A-Level Maths Paper 2 June 2023 Question 4 Edexcel A-Level Maths Paper 2 June 2024 - [Edexcel A-Level Maths | Differentiation](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-differentiation.md) - Question 1 Edexcel A-Level Maths Paper 1 June 2018 Question 2 Edexcel A-Level Maths Paper 1 June 2018 Question 3 Edexcel A-Level Maths Paper 2 June 2018 Question 4 Edexcel A-Level Maths Paper 2 June 2018 Question 5 Edexcel A-Level Maths Paper 1 June 2019 Question 6 Edexcel A-Level Maths Paper 1 Jun… - 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Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 Question 11 - [Edexcel A-Level Maths | Radians](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-radians.md) - Trig Modelling Question 1 Edexcel A-Level Maths Paper 1 June 2018 Question 2 Edexcel A-Level Maths Paper 1 June 2018 Question 3 Edexcel A-Level Maths Paper 2 June 2018 Question 4 Edexcel A-Level Maths Paper 2 June 2019 Question 5 Edexcel A-Level Maths Paper 1 June 2020 Question 6 Edexcel A-Level Ma… - [Edexcel A-Level Maths | Trigonometry](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-trigonometry.md) - Trig Modelling Question 1 Edexcel A-Level Maths Paper 1 June 2018 Question 2 Edexcel A-Level Maths Paper 2 June 2021 Question 3 Edexcel A-Level Maths Paper 2 June 2022 Question 4 Edexcel A-Level Maths Paper 2 June 2023 Question 5 Edexcel A-Level Maths Paper 1 June 2024 - [Edexcel A-Level Maths | Differential Equations](https://www.a-level-maths-tutor.com/edexcel-a-level-maths-differential-equations.md) - Question 1 Edexcel A-Level Maths Paper 1 June 2018 Question 2 Edexcel A-Level Maths Paper 2 June 2018 Question 3 Edexcel A-Level Maths Paper 2 June 2019 Question 4 Edexcel A-Level Maths Paper 1 June 2020 Question 5 Edexcel A-Level Maths Paper 2 June 2021 Question 6 Edexcel A-Level Maths Paper 2 Jun… - [A-Level Maths | Logs](https://www.a-level-maths-tutor.com/a-level-maths-logs.md) - Exponential graph Rules of Logarithms 1. log(a) + log(b) = log(ab) 2. log(a) - log(b) = log(a/b) 3. log(a)n = nlog(a) 4. loga(a) = 1 5. If loga(x) = 5 then x = a5 Power rule Question 1 hint: use rule 3 Adding and subtracting logs Question 2a Question 2b Solving exponential equations Question 3a Que… - [A-Level Maths | Binomial Distribution](https://www.a-level-maths-tutor.com/a-level-maths-binomial-distribution.md) - A binomial distribution models the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. $X \sim B(n, p)$ means we are modelling the distribution $X$ binomially, where: $n$: the number of trials $p$: the probability of succ… - [A-Level Maths | Normal Distribution](https://www.a-level-maths-tutor.com/a-level-maths-normal-distribution.md) - Normal Distribution Question 1 Question 2 Question 3 Inverse normal Question 4 Question 5 Question 6 Standard normal Question 7 Question 8 Question 9 Question 10 Question 11 Hypothesis Testing Question 12 Question 13 Question 14 Question 15 Binomial approximations Question 16 Question 17 Question 1… - [A-Level Maths | Differential Equations](https://www.a-level-maths-tutor.com/a-level-maths-differential-equations.md) - Question 1 Question 2 Question 3 - [A-Level Maths | Friction](https://www.a-level-maths-tutor.com/a-level-maths-friction.md) - Question 1 Question 2 Question 3 - [A-Level Maths](https://www.a-level-maths-tutor.com/a-level-maths-revision.md) - Year 12 Pure 1. Indices | Revision 2. Graphs & Transformations | Revision | Edexcel 3. Quadratics | Revision | Edexcel AS | Edexcel 4. Co-ordinate Geometry | Revision | Edexcel 5. Cubics | Revision 6. Binomial Expansion | Revision | Edexcel | MEI 7. Trigonometry of any Triangle | Revision | Edexcel… - [A-Level Maths | Probability](https://www.a-level-maths-tutor.com/a-level-maths-probability.md) - What does P(A) mean? P(A) is the probability of A happening What does P(A') mean? P(A') is the probability of A not happening What does P(A∩B) mean? P(A∩B) is the probability of A and B happening What does P(AUB) mean? P(AUB) is the probability of only A happening, or only B happening, or both A an… - [AS-Level Maths| Connected Particles](https://www.a-level-maths-tutor.com/as-level-maths-connected-particles.md) - Vertical pulleys Question 1 Question 2 Question 3 Horizontal pulleys Question 4 Question 5 Question 6 ## Optional - [RSS Feed](https://www.a-level-maths-tutor.com/rss/) - [Sitemap](https://www.a-level-maths-tutor.com/sitemap.xml) - [Full content of pages and posts](https://www.a-level-maths-tutor.com/llms-full.txt)