IGCSE Mathematics - Additional (0606) — May–June 2023, Paper 13
10 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Write down the period, in radians, of 3 tan(θ/2) − 3.
Answer this question and get it marked →Write 2x² + 5x + 3 in the form 2(x + a)² + b, where a and b are rational numbers.
Answer this question and get it marked →Write 3 + 2 lg a − (1/2) lg(4b²), where a and b are both positive, as a single logarithm to base 10. Give your answer in its simplest form.
Answer this question and get it marked →The straight line y = 3x − 11 and the curve xy = 4 − 3x − 2x² intersect at the points A and B. The point C, with coordinates (a, −8) where a is a constant, lies on the…
Answer this question and get it marked →Find the first three terms in the expansion of (x² − 4/x²)^10 in descending powers of x. Give each term in its simplest form.
Answer this question and get it marked →In this question lengths are in centimetres and angles are in radians. The diagram shows a circle with centre O and radius r. The points A and B lie on the circumference of the…
Answer this question and get it marked →The table shows values of the variables x and y which are related by an equation of the form y = Ax^b, where A and b are constants. x 1.5 2 2.5 3 4 --- ------ ------ ------ ------…
Answer this question and get it marked →The diagram shows the triangle OAB with OA = a and OB = b. The point X lies on the line OA such that OX = (3/5)a. The point Y is the mid-point of the line AB. Find, in terms of a…
Answer this question and get it marked →In this question lengths are in centimetres and time is in seconds. A particle P moves in a straight line such that its displacement s, from a fixed point at a time t, is given by…
Answer this question and get it marked →Show that cos⁴θ − sin⁴θ + 1 = 2 cos²θ.
Answer this question and get it marked →