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- Sets: Given that E={1,2,3,4,5,6,7,8},A={1,2,3,4} and B={2,3,4,5,6}, list (A∪…
- Algebra: Simplify 4(x + 2y) − (3x − 8y).
- Index Notation: Evaluate 27^(2/3).
- Coordinate Geometry: A straight line passing through A(3, 2) and B(5, y) has gradient −2. F…
- Algebra: Factorise completely 5x^2 − 5.
- Matrices: Given that C = matrix(5, -1; 2, 1) and D = matrix(1; -2), express CD a…
- Sequences and Series: The first three terms in an arithmetic progression are 5, 7 and 9. Fin…
- Sequences and Series: The first three terms in an arithmetic progression are 5, 7 and 9. Fin…
- Probability: In a game, the probability of a player losing is 0.3. What is the prob…
- Vectors In Two Dimensions: The coordinates of B and C are (2, 5) and (4, −3) respectively. If M i…
- Similarity and Congruency: The scale of a map is 1 : 20 000. The actual area of residential plots…
- Earth Geometry: The difference in longitude between town A and town B is 105°. B is we…
- Earth Geometry: The distance between P and Q is 3 600 nautical miles. If an aeroplane …
- Matrices: The transpose of a matrix P is matrix(1, 3, 4; 2, 5, 1; 3, 0, 1). Writ…
- Index Notation: Solve the equation 2^(2x − 1) = 16^(−2x).
- Mensuration: The diagram below shows a sector AOB of a circle with centre O and rad…
- Social and Commercial Arithmetic: Ngiwezi invested K14 500.00 in a business firm. The condition was that…
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- Circle Theorems: The diagram below shows a circle with a tangent RWS. The points V, W, …
- Circle Theorems: The diagram below shows a circle with a tangent RWS. The points V, W, …
- Similarity and Congruency: The ratio of the heights of two containers that are geometrically simi…
- Geometrical Transformations: In the diagram, triangle ABC has vertices A(1, 3), B(1, 1) and C(4, 1)…
- Variation: Two variables x and y have the following corresponding values: when x …
- Variation: Two variables x and y are such that y varies directly as (x^2 + 1), an…
- Variation: Two variables x and y are such that y = 4(x^2 + 1). Given that y = 104…
- Relations and Functions: Given that f(x) = 8x, find f^-1(x).
- Relations and Functions: Given that f(x) = 8x and g(x) = (3x − 2)/4, find an expression for fg(…
- Relations and Functions: Given that f(x) = 8x and g(x) = (3x − 2)/4, find the value of x for wh…
- Bearings: In the diagram below, a cyclist starts from town W and cycles on a bea…
- Bearings: In the diagram below, a cyclist starts from town W and cycles on a bea…
- Symmetry: The diagram shows a regular hexagonal prism. State the number of plane…
- Approximations: A piece of timber measures 5.25 cm long. Calculate the relative error …
- Introduction To Calculus: Integrate 3x^4 − 4x^-3 with respect to x.
- Quadratic Equations: Solve the equation (2x − 1)^2 = 25.
- Coordinate Geometry: Find the equation of a line which is parallel to 2x + y = 3 passing th…
- Computer and Calculator: In triangle XYZ, the side opposite angle X is x = YZ, the side opposit…
- Linear Programming: In the diagram, R is the unshaded region bounded by three lines: the l…
- Trigonometry: Given a right-angled triangle XYZ where ∠Z is 90° and sin X = 4/5, fin…
- Quadratic Functions: The diagram below shows a sketch of a graph which meets the x-axis at …
- Quadratic Functions: The diagram shows a sketch of the parabola y = x^2 + 2x − 8, which mee…
- Travel Graphs: The speed-time graph shows a particle which started from rest and acce…
- Travel Graphs: The speed-time graph shows a particle which accelerated uniformly from…
- Travel Graphs: The speed-time graph shows a particle which accelerated uniformly from…
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