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

This page covers Questions and Worked Solutions for Edexcel Oct 2019 IAL Pure Maths, WMA11/01.

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Edexcel Oct 2019 IAL Pure Maths WMA11/01 (pdf)

- Figure 1 shows a sector AOB of a circle with centre O and radius r cm.

The angle AOB is 1.25 radians.

Given that the area of the sector AOB is 15 cm^{2}

(a) find the exact value of r,

(b) find the exact length of the perimeter of the sector. Write your answer in simplest form - A tree was planted in the ground.

Exactly 2 years after it was planted, the height of the tree was 1.85 m.

Exactly 7 years after it was planted, the height of the tree was 3.45 m.

Given that the height, H metres, of the tree, t years after it was planted in the ground, can be modelled by the equation

H = at + b

where a and b are constants,

(a) find the value of a and the value of b.

(b) State, according to the model, the height of the tree when it was planted. - Figure 2 shows a sketch of the curve C with equation y = x
^{2}– 5x + 13

The point M is the minimum point of C.

The straight line l passes through the origin O and intersects C at the points M and N as shown.

Find, showing your working - A parallelogram ABCD has area 40 cm
^{2}

Given that AB has length 10 cm, BC has length 6 cm and angle DAB is obtuse, find

(a) the size of angle DAB, in degrees, to 2 decimal places,

(b) the length of diagonal BD, in cm, to one decimal place - A curve has equation

- The curve C has equation
- Figure 4 shows part of the curve with equation y = 2x
^{2}+ 5

The point P(2,13) lies on the curve.

(a) Find the gradient of the tangent to the curve at P. - Solve, using algebra, the equation
- Figure 5 shows a sketch of part of the curve C with equation
- Figure 6 shows a sketch of part of the curve with equation y = f(x), where

f(x) = (2x + 5)(x – 3)^{2} - A curve has equation y = f(x).

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