CIE May 2022 9709 Pure Maths Paper 12

Question Paper Pure Maths Paper 1 May/June 2022, 9709/12

Jump to: Question Paper | Mark Scheme | Worked Solutions Video

Mark Scheme Pure Maths Paper 1 May/June 2022, 9709/12

Worked Solutions Pure Maths Paper 1 May/June 2022, 9709/12

• Show Step-by-Step Solutions

1. The coefficient of x⁴ in the expansion of (3 + x)⁵ is equal to the coefficient of x² in the expansion …
2. The second and third terms of a geometric progression are 10 and 8 respectively.
   Find the sum to infinity.
3. The equation of a curve is such that
4. The first, second and third terms of an arithmetic progression are k, 6k and k + 6 respectively.
   (a) Find the value of the constant k.
   (b) Find the sum of the first 30 terms of the progression
5. The equation of a curve is y = 4x² − kx + 1/2 k² and the equation of a line is y = x − a, where k and a are constants.
   (a) Given that the curve and the line intersect at the points with x-coordinates 0 and 34, find the values of k and a.
6. The diagram shows the curve with equation y = 5x^1/2 and the line with equation y = 2x + 2.
   Find the exact area of the shaded region which is bounded by the line and the curve

Jump to: Question Paper | Mark Scheme | Worked Solutions Video

7. The diagram shows a sector OBAC of a circle with centre O and radius 10 cm. The point P lies on OC and BP is perpendicular to OC. Angle AOC = 1/6 π and the length of the arc AB is 2 cm.
   (a) Find the angle BOC8. The equation of a circle is x² + y² + ax + by − 12 = 0. The points A(1,1) and B(2,−6) lie on the circle.
   (a) Find the values of a and b and hence find the coordinates of the centre of the circle.
8. The equation of a curve is y = 3x + 1 − 4(3x + 1)^1/2 for x > −1/3
9. Functions f and g are defined as follows:
10. The function f is given by f(x) = 4 cos⁴x + cos²x − k for 0 ≤ x ≤ 2π, where k is a constant.
    (a) Given that k = 3, find the exact solutions of the equation f(x) =

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire

Check out more Solitaire games here.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.