IGCSE Mathematics - Additional (0606) — May–June 2023, Paper 23
10 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →DO NOT USE A CALCULATOR IN THIS QUESTION. Write the expression √(98x¹²) / (3 + √2) in the form (a√b + c)x^d where a, b, c and d are integers.
Answer this question and get it marked →Differentiate ln(x³ + 3x²) with respect to x, simplifying your answer.
Answer this question and get it marked →The polynomial p is such that p(x) = 2x³ + 11x² + 22x + 40. Show that x = −4 is a root of the equation p(x) = 0.
Answer this question and get it marked →A gardening group has 20 members. A committee of 6 members is to be selected. Anwar and Bo belong to the gardening group and at most one of them can be on the committee. How many…
Answer this question and get it marked →The diagram shows the curve y = 5e^(2x) − 3. The curve meets the y-axis at the point A. The tangent to the curve at A meets the x-axis at the point B. Find the length of AB.
Answer this question and get it marked →Variables x and y are such that y = (4x³ + 2 sin 8x)/(1 − x). Use differentiation to find the approximate change in y as x increases from 0.1 to 0.1 + h, where h is small.
Answer this question and get it marked →The functions f and g are defined by f(x) = sec x for π/2 < x < 3π/2, and g(x) = 3(x² − 1) for all real x. Find the range of f.
Answer this question and get it marked →Show that ∫₁⁸ (x + 4)/(x^(2/3)) dx = 36.6.
Answer this question and get it marked →An arithmetic progression, A, has first term a and common difference d. The 2nd, 14th and 17th terms of A form the first three terms of a convergent geometric progression, G, with…
Answer this question and get it marked →