This is part of a collection of videos showing step-by-step solutions for CIE A-Level Mathematics past papers.

This page covers Questions and Worked Solutions for CIE Pure Maths Paper 1 May/June 2022, 9709/13.

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CIE May/June 2022 9709 Pure Maths Paper 13 (pdf)

- The coefficient of x
^{3}in the expansion of … - The diagram shows part of the curve with equation y = p sin(qθ) + r, where p, q and r are constants.

(a) State the value of p - An arithmetic progression has first term 4 and common difference d. The sum of the first n terms of the progression is 5863.
- (a) The curve with equation y = x
^{2}+ 2x − 5 is translated by - (a) Solve the equation
- The function f is defined by f(x) = 2x
^{2}− 16x + 23 for x < 3.

(a) Express f(x) in the form 2(x + a)^{2}+ b.

- The diagram shows the circle with equation (x − 2)2 + (y + 4)2 = 20 and with centre C. The point B
has coordinates (0, 2) and the line segment BC intersects the circle at P.

(a) Find the equation BC. - The diagram shows the curve with equation y = x
^{1/2}+ 4x−^{1/2}. The line y = 5 intersects the curve at the points A(1, 5) and B(16, 5).

(a) Find the equation of the tangent to the curve at the point A. - The diagram shows triangle ABC with AB = BC = 6 cm and angle ABC = 1.8 radians. The arc CD is
part of a circle with centre A and ABD is a straight line.

(a) Find the perimeter of the shaded region.

(b) Find the area of the shaded region. - The function f is defined by f(x) = (4x + 2)
^{-2}for x > −1/2 - The point P lies on the line with equation y = mx + c, where m and c are positive constants. A curve
has equation y = −m/x. There is a single point P on the curve such that the straight line is a tangent to
the curve at P.

(a) Find the coordinates of P, giving the y-coordinate in terms of m

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