CIE May 2023 9709 Pure Maths Paper 13 (9709/13/m/j/23)

Question Paper Pure Maths Paper 1 May/June 2023, 9709/13

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Mark Scheme Pure Maths Paper 1 May/June 2023, 9709/13

Worked Solutions Pure Maths Paper 1 May/June 2023, 9709/11

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1. The diagram shows the graph of y = f(x), which consists of the two straight lines AB and BC. The lines A′B′ and B′C′ form the graph of y = g(x), which is the result of applying a sequence of two transformations, in either order, to y = f(x). State fully the two transformation.
2. The function f is defined by f(x) = x² − 6x + c, where c is a constant. It is given that f(x) > 2 for all values of x. Find the set of possible values of
3. (a) Give the complete expansion of (x + 2/x)⁵.
4. Show that the equation
5. A circle has equation (x − 1)² + (y + 4)² = 40. A line with equation y = x − 9 intersects the circle at points A and B.
   (a) Find the coordinates of the two points of intersection.

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6. The diagram shows a sector OAB of a circle with centre O and radius r cm. Angle AOB = θ radians. It is given that the length of the arc AB is 9.6 cm and that the area of the sector OAB is 76.8 cm².
   (a) Find the area of the shaded region
7. The function f is defined by f(x) = 2 − 5/(x + 2) for x > −2.
8. A progression has first term a and second term
9. A curve which passes through (0, 3) has equation y = f(x).
10. The diagram shows the points

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