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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 $x$

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