Edexcel Oct 2020 IAL Pure Maths WMA11/01

Edexcel Oct 2020 IAL Pure Maths WMA11/01 (pdf)

• Show Step-by-Step Solutions

1. Given that
   find the values of the constants a, b and c.
2. f(x) = 3 + 12x – 2x²
   (a) Express f(x) in the form
   a – b(x + c)²
   where a, b and c are integers to be found.
   The curve with equation y = f(x) – 7 crosses the x‑axis at the points P and Q and crosses the y-axis at the point R.
   (b) Find the area of the triangle PQR, giving your answer in the form m√n where m and n are integers to be found.
3. Figure 1 shows the design for a badge.
   The design consists of two congruent triangles, AOC and BOC, joined to a sector AOB of a circle centre O.

• Angle AOB = α
• AO = OB = 3 cm
• OC = 5 cm
  Given that the area of sector AOB is 7.2cm²
  (a) show that α = 1.6 radians.

4. Use algebra to solve the simultaneous equations
   y – 3x = 4
   x² + y² + 6x – 4y = 4
   You must show all stages of your working.
5. Figure 2 shows a sketch of the curve with equation y = f(x).
   The curve passes through the points (–5, 0) and (0, –3) and touches the x‑axis at the point (2, 0).
   On separate diagrams sketch the curve with equation
   (a) y = f(x + 2)
   (b) y = f(–x)
   On each diagram, show clearly the coordinates of all the points where the curve cuts or touches the coordinate axes.

6. The point A has coordinates (–4, 11) and the point B has coordinates (8, 2).
   (a) Find the gradient of the line AB, giving your answer as a fully simplified fraction. The point M is the midpoint of AB. The line l passes through M and is perpendicular to AB.
   (b) Find an equation for l, giving your answer in the form px + qy + r = 0 where p, q and r are integers to be found.
   The point C lies on l such that the area of triangle ABC is 37.5 square units.
   (c) Find the two possible pairs of coordinates of point C
7. The curve C has equation
8. The curve C has equation
   y = (x – 2)(x – 4)²
   (a) Show that
9. A curve with equation y = f(x) passes through the point (9, 10). Given that

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.