AQA Level 2 Certificate Further Maths Paper 2: Calculator November 2021 question paper 8365/2

Expand and simplify 5(2 x – 1) + 4(11 – x) Give your answer in the form a (bx + c) where a, b and c are integers greater than 1

5 m is decreased by 40% The answer is (m + 1)

Work out the value of m.

The rectangle and triangle shown have equal areas.

Work out the value of Give your answer in its simplest form.

The equations of the two circles shown are

Work out the shaded area. Give your answer as an integer multiple of π.

SQR is a right-angled triangle. P is a point on SQ. Angle SPR = 45 ° M is the midpoint of QR. k is a constant.

Work out the coordinates of M.

a is a value greater than 1

w³x²y⁵ = w¹³x⁷

Write y in terms of w and x. Give your answer in its simplest form.

A function f is given by

A sketch of y = f(x) is shown.

Work out all the values of x for which f(x) = – 12

Expand and simplify fully (5x + 3y²)(4x – y²)

A and B are points on the line y = 3 x + 2 B, C and D (5, 0) are points on the line L. O A: AC = 1: 4

Work out the x-coordinate of B.

P is the point on the curve y = ax³ + 10x² where x = 2 The gradient of the normal to the curve at P is –

Work out the value of a.

A, B and C are points on a circle, centre O. ACD is a straight line. Angle BCD = w

Prove that w = x + 90 °

The coefficient of x⁴ in the expansion of (a + 2x)⁶ is 1500

Work out the two possible values of a.

ABCDEFGH is a cube with side length 32 cm M and N are points on DH and CG respectively.

Work out the size of the angle that the line BM makes with the plane ABCD.

f(x) = (x + 2)³ g is a function such that gf(x) = (x + 2)¹²

Work out an expression for g(x)

h(x) = x² + 5 k is a function such that hk(x) = 4x² + 5

Work out an expression for kh(x)

where a and b are integers.

3x² + 2bx + 8a can be written in the form 3(x + a)² + b + 2

Work out the two possible pairs of values of a and b.