IGCSE Mathematics - Additional (0606) — May–June 2023, Paper 12
10 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →The diagram shows part of the graph of y = a cos bx + c, where a, b and c are integers. The graph has a maximum value of 2 and a minimum value of −6. Find the values of a, b and c.
Answer this question and get it marked →DO NOT USE A CALCULATOR IN THIS QUESTION. Solve the equation (2 + √5)x² = 4x + 3(2 − √5), giving your answers in the form a + b√5 where a and b are integers.
Answer this question and get it marked →The diagram shows part of the graph of y = f(x) . The graph has x-intercepts at x = −2, x = 1 and x = 4, and y-intercept 24. Given that f(x) is a cubic function, find f(x).
Answer this question and get it marked →The diagram shows a circle with centre O and radius r cm. The arc AB has length 12 cm and the area of the sector OAB is 57.6 cm². A tangent to the circle is drawn at A and C is…
Answer this question and get it marked →Find the exact solutions of the equation 6p^(1/3) − 5p^(−1/3) − 13 = 0.
Answer this question and get it marked →Given that cot²θ = 1/(y + 2) and sec θ = x − 4, find y in terms of x.
Answer this question and get it marked →Find the number of ways in which 14 people can be put into 4 groups containing 2, 3, 4 and 5 people.
Answer this question and get it marked →It is given that f(x) = 2 ln(3x − 4) for x a. Write down the least possible value of a.
Answer this question and get it marked →The diagram shows part of the curve y = 3 + 4/(2x + 1) and the straight line 3y = 2x + 6. Find the area of the shaded region (bounded by the curve and the line), giving your…
Answer this question and get it marked →The first three terms of an arithmetic progression are (2x + 1), 4(2x + 1) and 7(2x + 1), where x ≠ −1/2. Show that the sum to n terms can be written in the form (n/2)(2x + 1)(An…
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