AS & A Level Mathematics (9709) — October–November 2023, Paper 22
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →When the polynomial ax^3 + 4ax^2 − 7x − 5 is divided by (x + 2), the remainder is 33. Find the value of the constant a.
Answer this question and get it marked →Solve the equation sec θ cos(θ − 60°) = 4 for −180° < θ < 180°.
Answer this question and get it marked →The diagram shows the curve with equation y = 6e^(−x/2). The points on the curve with x-coordinates 0 and 2 are denoted by A and B respectively. The shaded region is enclosed by…
Answer this question and get it marked →Sketch, on the same diagram, the graphs of y = 3 − x and y = 9 − 2x.
Answer this question and get it marked →Find the quotient when 6x^3 − 5x^2 − 24x − 4 is divided by (2x + 1), and show that the remainder is 6.
Answer this question and get it marked →The diagram shows the curve with parametric equations x = 3 ln(2t − 3), y = 4t ln t. The curve crosses the y-axis at the point A. At the point B, the gradient of the curve is 12.…
Answer this question and get it marked →Prove that sin 2x (cot x + 3 tan x) ≡ 4 − 2 cos 2x.
Answer this question and get it marked →← October–November 2023 Paper 23 · October–November 2023 Paper 21 →