Mathematics 0580: QUADRATIC EQUATIONS Topical Past Paper Questions

In this question, all lengths are in centimetres. NOT TO SCALE (a) Show that the area of triangle $ABC$ is $\frac{1}{2}x^{2} \mathrm{cm}^{2}$. [1] (b) The area of triangle $ABC$ is equal to the area of triangle $DEF$. Show that $x^{2}-14x+24=0$. [3] (c) By factorising and solving…

Martha walks a distance of 10 km at a speed of $x$ km/h. She then runs a distance of 5 km at a speed of $(x+4)$ km/h. The total time taken for the whole journey is 3.5 hours. **(a)** Write down an expression in terms of $x$ for the time Martha is walking. h [1] **(b)** Show that…

(a) $ P = 3a + 5 $ Find the value of $ P $ when a = 2. (b) Solve these equations. (i) $ 7x = -42 $ (ii) $ 9(8x - 7) = 72 $ (c) $ 5^8 \times 5^k = 5^{-24} $ Find the value of $ k $. (d) Solve the simultaneous equations. $ -6x - y = 13 $ $ 8x + y = -51 $ $ x = $ ..... [1] $ y = $ .…