IGCSE Mathematics - Additional (0606) — October–November 2024, Paper 13
11 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Find the coordinates of the stationary point on the curve y = (x + 3)(x − 4).
Answer this question and get it marked →On the axes provided, sketch the graph of y = 4 + 5 sin(θ/2), for −360° ≤ θ ≤ 360°. State the intercept with the y-axis.
Answer this question and get it marked →Find the values of k for which the equation 4x² − k = 4kx − 2 has no real roots.
Answer this question and get it marked →Write 3 + 4 log₂ a − log₂ b as a single base-2 logarithm.
Answer this question and get it marked →The polynomial p is such that p(x) = ax³ + bx² − 19x + c, where a, b and c are integers. It is given that x + 2 is a factor of p(x). When p(x) is divided by x + 1 the remainder is…
Answer this question and get it marked →The table shows the variables x and y which are related by the equation y = Ab^(x²), where A and b are constants. x 1 1.5 2 2.5 3 --- ---- ------ ----- ------- ------ y 14 33.3…
Answer this question and get it marked →The straight line y = 2x + 1 intersects the curve y + xy + 3x² = 15 at the points A and B. The point C with coordinates (21/10, k) lies on the perpendicular bisector of AB. Find…
Answer this question and get it marked →The diagram shows the trapezium OABC, where OA = 4a, OC = c, and CB = 2a. The point D lies on AB such that AD : DB = 2 : 1. The point X is the point of intersection of the lines…
Answer this question and get it marked →Solve the equation 7 tan²θ + 5 tan θ − 2 = 0, for −180° ≤ θ ≤ 180°.
Answer this question and get it marked →The first 3 terms of an arithmetic progression are logx 3, logx 81, logx 2187. Find the sum to n terms, giving your answer in the form k logx 3, where k is in terms of n.
Answer this question and get it marked →← October–November 2024 Paper 21 · October–November 2024 Paper 12 →