IGCSE Mathematics - Additional (0606) — October–November 2023, Paper 22
10 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →A straight line passes through the points (4, 23) and (−8, 29). Find the point of intersection, P, of this line with the line y = 2x + 5.
Answer this question and get it marked →Find the non-zero value of k for which the line y = −2x − 6k − 1 is a tangent to the curve y = x(x + 2k).
Answer this question and get it marked →DO NOT USE A CALCULATOR IN THIS QUESTION. A cylinder has base radius (2 + √3) m and volume π(16 + 9√3) m³. Find the exact value of its height, giving your answer in its simplest…
Answer this question and get it marked →Solve the equation (e^(2x) + 2)/e^(x/2) = 10.
Answer this question and get it marked →Find the equation of the normal to the curve y = x³ − 7x² + 12x − 5 at the point (1, 1).
Answer this question and get it marked →Find the exact value of ∫₂³ (x + 2)²/x dx.
Answer this question and get it marked →A particle is travelling in a straight line. Its displacement, s metres, from the origin at time t seconds is given by s = 1.5e^(2t) + 2e^(−2t) − t. Find expressions for the…
Answer this question and get it marked →A curve has equation y = x sin 2x. Find dy/dx.
Answer this question and get it marked →An arithmetic progression has twelve terms. The sum of the first three terms is −36 and the sum of the last three terms is 72. Find the first term and the common difference.
Answer this question and get it marked →By writing cot x and tan x in terms of cos x and sin x, show that sin x/(1 − cot x) + cos x/(1 − tan x) = sin x + cos x.
Answer this question and get it marked →← October–November 2023 Paper 23 · October–November 2023 Paper 21 →