GCSE Maths | Algebra

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)

GCSE Maths | Trigonometry

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

GCSE Maths | Surds

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}

AS-Level Maths | Integration

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 $x$

GCSE Maths | Ratios

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)

GCSE Maths | Compound Interest

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.

GCSE Maths | Percentages

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: 68 c) Original:

Edexcel AS-Level Maths | Trigonometry

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

A-Level Maths | Indices

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)

Edexcel A-Level Maths | Sequences & Series

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

Edexcel A-Level Maths | Binomial Distribution

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

Edexcel A-Level Maths | Probability Distribution

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

Pure Maths

A-Level Maths | Sequences & Series

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

Edexcel A-Level Maths

Edexcel A-Level Maths | Probability

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

Edexcel A-Level Maths

Edexcel A-Level Maths | Measures of Location & Spread

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

Edexcel A-Level Maths

Edexcel A-Level Maths | Correlation

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

Edexcel A-Level Maths

Edexcel A-Level Maths | Mechanics Other

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

Edexcel A-Level Maths

Edexcel A-Level Maths | Vector Applications

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

Edexcel A-Level Maths

Edexcel A-Level Maths | Forces

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

Edexcel A-Level Maths

Edexcel A-Level Maths | Projectiles

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

Edexcel A-Level Maths

Edexcel A-Level Maths | Moments

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

GCSE Maths

Probability Tree Diagrams | GCSE Maths

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 understand

Past Papers

PDF Files - Edexcel iGCSE Maths Past Papers

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.pdf1 MBdownload-circleEdexcel iGCSE

Edexcel A-Level Maths

Edexcel A-Level Maths | Quadratics

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