Cambridge Past Paper Questions

Study Fig. 2.1 which shows Socrates, an ancient Greek philosopher.

Discuss the challenges faced by Muslim women in countries where Muslims form a minority.

Discuss how a Muslim leader can contribute to the development of Muslim practice. Refer to the contribution of contemporary leaders that you have s...

'Pious Muslims can effectively lead both Muslims and non-Muslims.' To what extent do you agree with this statement?

Read the following text passages, then answer the questions which follow. Qur'an 25.68-70 Those who invoke not, with Allah, any other god, nor sla...

Answer EITHER Question 1 OR Question 2. 1

OR 2

EITHER 3

OR 4

Study Fig. 1.1 which shows Umayyad constructions.

Study Fig. 2.1 which shows Mahmud of Ghazni receiving a robe from the Abbasid Caliph.

'Modesty does not prevent Muslim women from achieving in life.' Discuss this statement by referring to two women you have studied, including one mo...

Compare the challenges faced by Muslim leaders today with those faced by leaders in the past in applying the Sunnah.

Discuss the role of Muslims in a country where they are in a minority. Refer to different points of view in your answer.

Read the following text passages then answer the questions which follow. Qur'an 17.32-33 Nor come nigh to adultery: for it is a shameful (deed) and...

EITHER

OR

Section A: Answer EITHER Question 1 OR Question 2.

Section B: Answer EITHER Question 3 OR Question 4.

Study Fig. 1.1 which shows the Minaret of the Bride, Damascus.

Study Fig. 2.1 which shows an early Abbasid Qur'an.

'It is more challenging for a Muslim woman to practise her religion today than in the past.' Discuss by referring to one or more women you have stu...

'The qualities and characteristics required from Muslim leaders are the same today as in the past.' Do you agree?

To what extent does Islam support religious pluralism?

The variables x and y are such that y = -1 when x = 1 and x² + y² + (dy/dx)³ = 29.

The curve C has polar equation r = a(1 – e⁻ᶿ), where a is a positive constant and 0 ≤ ᶿ < 2π.

At any point (x, y) on the curve C, dx/dt = t(t²+4) and dy/dt = -t√(4-t²), where the parameter t is such that 0 ≤ t ≤ 2.

The sum S_N is defined by S_N = ∑_{n=1}^N n³. Using the identity (n+1)⁶ – (n-1)⁶ = 6n⁵ + 5n³ + 3n, find S_N in terms of N. [You need not simplify y...

Let I_n = ∫_1^e x(lnx)ⁿ dx, where n ≥ 1.

The equation x³ + x − 1 = 0 has roots α, β, γ. Use the relation x = √y to show that the equation y³ + 2y² + y − 1 = 0 has roots α², β², γ².

The lines l₁ and l₂ have vector equations r = 4i – 2j + λ(2i + j – 4k) and r = 4i – 5j + 2k + μ(i – j – k) respectively.

The matrix A is given by A = [[4, 1, -1], [-4, -1, 4], [0, -1, 5]].

Find the set of values of a for which the system of equations x + 4y + 12z = 5, 2x + ay + 12z = a − 1, 3x + 12y + 2az = 10, has a unique solution.

Answer only one of the following two alternatives. EITHER The variables z and x are related by the differential equation 3z² d²z/dx² + 6z (dz/dx)² ...

The linear transformation \( T : \mathbb{R}^4 \to \mathbb{R}^4 \) is represented by the matrix \( M = \begin{pmatrix} 1 & 3 & -2 & 4 \\ 5 & 15 & -9...

It is given that \( f(n) = 3^{3n} + 6^{n-1} \).

The line \( l_1 \) passes through the point with position vector \( 8\mathbf{i} + 8\mathbf{j} - 7\mathbf{k} \) and is parallel to the vector \( 4\m...

The variables x and y are related by the differential equation \( y^2 \frac{d^2y}{dx^2} + 2y \left(\frac{dy}{dx}\right)^2 - 5y^3 = 8e^{-x} \).