- Sets: Given that E={a,b,c,d,e,f,g,h},A={a,b,c,d} and B={b,c,d,e,f}, list (A∪…
- Sets: Use set notation to describe the shaded region in the diagram below.
- Index Notation: Evaluate 8^(2/3).
- Algebra: Simplify 3(a + 5) − a(a − 2).
- Symmetry: The diagram below shows a right pyramid with a square base ABCD and ap…
- Matrices: Express matrix(−1, 2, −3)matrix(5, −2; 4, 2; 3, 1) as a single matrix.
- Vectors In Two Dimensions: On the diagram in the answer space, vec(OP) = vec(p) and vec(OQ) = vec…
- Sequences and Series: The first and second terms of an arithmetic progression are 100 and 95…
- Sequences and Series: The first and second terms of an arithmetic progression are 100 and 95…
- Probability: There are 45 green and red marbles in a bag. Given that the probabilit…
- Similarity and Congruency: The base areas of two containers that are geometrically similar are 80…
- Earth Geometry: Mogadishu and Kinshasa are on longitudes 45°E and 15°E respectively. I…
- Earth Geometry: What is the shortest distance over the Earth’s surface between A(32°N,…
- Approximations: The length of a wire is 5.2 cm, correct to 1 decimal place. What is it…
- Social and Commercial Arithmetic: The dividend due on 1 000 shares at the end of a financial year is K2 …
- Coordinate Geometry: Find the gradient of the straight line whose equation is 3y + x = 5.
- Geometrical Transformations: Triangle P has vertices (−4, 0), (−4, 1) and (−2, 1). It is mapped ont…
- Algebra: Factorise completely km − 6ln + 3kn − 2lm.
- Mensuration: In the diagram below, MN is an arc of a circle whose centre is O and r…
- Matrices: Find the transpose of the matrix B = matrix(4, −1; 2, 5).
- Approximations: Find the percentage error of the mass of a bag of sugar that weighs 10…
- Coordinate Geometry: Find the equation of the straight line passing through (−4, 4) and is …
- Bearings: The diagram below shows an equilateral triangle ABC. A is due North of…
- Bearings: For the same equilateral triangle (A due North of B), find the bearing…
- Relations and Functions: Given that f(x) = (5x + 4)⁄5, find f⁻¹(x).
- Relations and Functions: Using f(x) = (5x + 4)⁄5, find f⁻¹(−2).
- Relations and Functions: Given f(x) = (5x + 4)⁄5 and g(x) = x − 1, find fg(x) in its simplest f…
- Index Notation: Evaluate 5^0 + 5^1.
- Computer and Calculator: In the answer space below is an incomplete simple program pseudocode f…
- Introduction To Calculus: Find ∫(6x^2 − 5) dx.
- Trigonometry: The diagram below shows triangle PQR in which PQ = 12 cm, QR = 10 cm a…
- Circle Theorems: In the diagram below, PR is a diameter of a circle with centre O. Q an…
- Circle Theorems: For the same circle (PR a diameter, ∠QPR = 42°), calculate PRQ.
- Circle Theorems: For the same circle (tangent at P meets QS produced at T, ∠PQS = 26°, …
- Variation: It is given that w varies directly as the square of x and inversely as…
- Variation: It is given that w = kx²⁄y. If x = −6, y = 12 and w = 15, find k.
- Variation: Using w = 5x²⁄y, find the value of y when x = 8 and w = 20.
- Linear Programming: On the XOY plane below, region R is unshaded. Write the four inequalit…
- Quadratic Equations: Solve the equation x^2 = 3x.
- Quadratic Functions: The diagram below shows a sketch of the graph of y = 3 − 2x − x^2, pas…
- Quadratic Functions: For the graph y = 3 − 2x − x^2, find the coordinates of the turning po…
- Travel Graphs: The diagram below is the speed-time graph of a particle. The particle …
- Travel Graphs: The diagram below is the speed-time graph of a particle, which acceler…
- Travel Graphs: For the same motion (start speed v = 4⁄3 m/s, acceleration v⁄5), find …
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