IGCSE Mathematics - Additional (0606) — May–June 2023, Paper 11
10 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Write 5x² − 14x + 8 in the form a(x + b)² + c, where a, b and c are constants.
Answer this question and get it marked →The polynomial p(x) = ax³ + 7x² + bx + c, where a, b and c are constants. It is given that (3x − 4) is a factor of p(x), that when p(x) is divided by (x − 1) the remainder is 0,…
Answer this question and get it marked →A is the point (2, 5) and B is the point (10, −15). The point P lies on the perpendicular bisector of AB. Given that the y-coordinate of P is −9, find the x-coordinate of P.
Answer this question and get it marked →A velocity-time graph shows a particle moving with velocity v ms⁻¹. The graph is trapezoidal: the particle accelerates uniformly from 0 to V ms⁻¹ over the first 30 seconds, then…
Answer this question and get it marked →DO NOT USE A CALCULATOR IN THIS QUESTION. In triangle ABC, AB = 5√3 − 6, BC = 5√3 + 6 and angle ABC = 120°. Find the length AC, giving your answer in the form a√b where a and b…
Answer this question and get it marked →Show that (cotθ + tanθ)/secθ = cosecθ.
Answer this question and get it marked →Find the number of ways of choosing 8 people from a group of 15.
Answer this question and get it marked →Given that y = (3x − 4)^(1/3) / (2x + 1), show that dy/dx = (9 − 4x) / ((2x + 1)²(3x − 4)^(2/3)).
Answer this question and get it marked →An arithmetic progression has terms ln q, ln q⁴, ln q⁷, … The sum of the first n terms of the progression is 4845 ln q. Find the value of n.
Answer this question and get it marked →Given that y = (3x + 1)² ln(3x + 1), find dy/dx.
Answer this question and get it marked →