- Sets: Shade (A∪B)∩C' on the Venn diagram in the space below.
- Sets: The universal set E={0,1,2,3,4,5,6,7,8,9}, set A={ Prime numbers } and…
- Index Notation: Evaluate 3^2 + 3^(-1) × 2^0.
- Algebra: Simplify 2(x + 3y) - 3(4x - 2).
- Algebra: Factorise completely 3x^2 - 27.
- Coordinate Geometry: Find the gradient of a line which passes through the points (-3, -1) a…
- Vectors In Two Dimensions: The position vector of a point P is matrix(3; 4). Given that the point…
- Matrices: Given that P = matrix(4, -1, 0; 2, 0, 3) and Q = matrix(1; 2; 3), find…
- Matrices: Given that P = matrix(4, -1, 0; 2, 0, 3) and Q = matrix(1; 2; 3), find…
- Sequences and Series: An Arithmetic Progression is given as 1, 7, 13, ... Find the eighth te…
- Sequences and Series: An Arithmetic Progression is given as 1, 7, 13, ... Find the sum of th…
- Probability: In a bag there are 4 blue marbles, 3 red marbles and 2 white marbles. …
- Quadratic Equations: Solve the equation 2x^2 + x - 3 = 0.
- Symmetry: The following diagram shows a regular hexagonal right pyramid. Find th…
- Earth Geometry: Towns A and B are on longitudes 75°W and 45°E respectively. Find the t…
- Earth Geometry: The diagram shows towns P(45°S, 75°W) and Q(0°, 75°W). An aeroplane to…
- Index Notation: Solve 5^(-3x) = 125.
- Mensuration: The diagram shows a sector XOY. The angle subtended at the centre is 7…
- Approximations: The mass of a bag of mealie meal is 25.2 kg. Calculate the tolerance.
- Approximations: The mass of a bag of mealie meal is 25.2 kg. Calculate the relative er…
- Bearings: In the diagram, three points A, B and C are on level ground. The beari…
- Bearings: In the diagram, three points A, B and C are on level ground. The beari…
- Relations and Functions: Given that f(x) = (3x - 5)/2 and g(x) = x + 2, find f^(-1)(x).
- Relations and Functions: Given that f(x) = (3x - 5)/2 and g(x) = x + 2, find f^(-1)(5).
- Relations and Functions: Given that f(x) = (3x - 5)/2 and g(x) = x + 2, find fg(x).
- Circle Theorems: In the diagram, A, B, C and D are points on the circumference of a cir…
- Circle Theorems: In the diagram, A, B, C and D are points on the circumference of a cir…
- Circle Theorems: In the diagram, A, B, C and D are points on the circumference of a cir…
- Geometrical Transformations: The diagram shows triangles P and Q. Describe fully the single transfo…
- Computer and Calculator: In the answer space below is an incomplete flowchart for calculating t…
- Variation: Z varies inversely as the square of x and directly as y, and z = 6 whe…
- Variation: Z varies inversely as the square of x and directly as y, and z = 6 whe…
- Variation: Z varies inversely as the square of x and directly as y, and z = 6 whe…
- Social and Commercial Arithmetic: Paul invests K50 000.00 in a government bond at 9% simple interest per…
- Similarity and Congruency: Two cylindrical tins are geometrically similar. The radius of the base…
- Trigonometry: The diagram shows a right angled triangle ABC. BC is produced to D. AC…
- Coordinate Geometry: Find the equation of a straight line passing through the point (-2, 3)…
- Linear Programming: Write three inequalities that define the unshaded region R in the diag…
- Introduction To Calculus: Integrate 3x^2 − 5x + 9/(x^3) with respect to x.
- Quadratic Functions: The diagram shows the graph of the function y = x^2 + 2x − 15. The cur…
- Quadratic Functions: The diagram shows the graph of the function y = x^2 + 2x − 15. The cur…
- Travel Graphs: The following diagram is a speed-time graph of a car. The car starts f…
- Travel Graphs: The following diagram is a speed-time graph of a car. The car starts f…
- Travel Graphs: The following diagram is a speed-time graph of a car. The car starts f…
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