IGCSE Mathematics - International (0607) — May–June 2023, Paper 43
12 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Translate triangle A by the vector (−6, 4)ᵀ. Label the image C.
Answer this question and get it marked →John swims the 1500 m in 25 minutes. Find his average speed, in km/h, for this swim.
Answer this question and get it marked →$x is divided in the ratio 3 : 5. The larger share is $42. Find the value of x.
Answer this question and get it marked →In the diagram, AB is parallel to ED. ACD and BCE are straight lines. AB = 50 cm, BC = 55 cm and AC = 64 cm. Show that angle ACB = 49.0° correct to one decimal place.
Answer this question and get it marked →f(x) = 2cos(x − 45)° − 1 for values of x between −90 and 90. On the diagram, sketch the graph of y = f(x).
Answer this question and get it marked →Solve the simultaneous equations. You must show all your working. 5x − 4y = 13 3x + 2y = −1
Answer this question and get it marked →A student is chosen at random from the 80 students. Find the probability that the student chosen is a girl whose favourite sport is athletics.
Answer this question and get it marked →A, B, C and D lie on a circle, centre O. DE is a tangent to the circle at D. ACE is a straight line. The angle marked at B is 78° and the angle DEC = 20°. Find angle AOC.
Answer this question and get it marked →The diagram shows a cuboid with base ABCD. AB = 20 cm, BC = 34 cm and CE = 16 cm. Water is poured into the cuboid to a height of 8 cm. Find the volume of water in the cuboid.
Answer this question and get it marked →The diagram shows two right-angled triangles ABC and CBD. AB = BC, AC = √200 cm and angle BDC = 30°. A, B, D are collinear with C below B; the right angle is at B. (NOT TO SCALE.)…
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