- Index Notation: Evaluate 64^(2/3).
- Sets: The diagram shows three sets A, B and C in the universal set E. Which …
- Algebra: Given that x = -4 and y = -1/2, find the value of xy - x^2.
- Similarity and Congruency: The ratio of the surface areas of two similar bottles is 4 : 9. What i…
- Sequences and Series: Write the next number in the sequence 2, -8, 32, -128, ...
- Sequences and Series: Write the nth term of the sequence 5, 7, 9, 11, ...
- Relations and Functions: A function f is defined as f(x) = 3/(5x + 1), x is not -1/5. Find f(1)…
- Relations and Functions: A function f is defined as f(x) = 3/(5x + 1). Find x if f(x) = 6.
- Trigonometry: The figure shows triangle ABC in which AC = 5 cm and angle A is a righ…
- Quadratic Equations: Solve the equation (y + 7)^2 = 9.
- Vectors In Two Dimensions: The position vectors of A and B are matrix(0; 1) and matrix(3; 5) resp…
- Coordinate Geometry: Find the gradient of the line x + 2y = 4.
- Sets: A set has 6 proper subsets. How many elements does it have?
- Bearings: In the diagram, C is due south of A, AB = BC and the bearing of B from…
- Earth Geometry: An aeroplane flew from point A(60 S, 30 W) to point B(60 S, 60 E). Tak…
- Circle Theorems: In the diagram, ABC is a straight line and BS is parallel to UT. Angle…
- Circle Theorems: Using the same diagram, find angle BUT.
- Circle Theorems: Using the same diagram, find angle SBC.
- Geometrical Transformations: A transformation is represented by the matrix matrix(2, 0; -3, 1). A p…
- Algebra: Factorise completely x^2y + 2x^2 - 9y - 18.
- Circle Theorems: In the diagram, ABCDEF is a regular hexagon and HEFG is part of a regu…
- Matrices: Express as a single matrix matrix(4; -3) matrix(2, -1).
- Variation: Given that x varies as y and inversely as z^2, and that x = 12 when y …
- Variation: x varies directly as y and inversely as z^2, with constant k = 16 (so …
- Variation: x varies directly as y and inversely as z^2, with constant k = 16 (so …
- Probability: Six pupils obtained the following marks in a Mathematics Contest: 23, …
- Symmetry: What is the angle of rotational symmetry of a regular pentagon?
- Trigonometry: A vegetable garden is an irregular pentagon ABCDE with AB = BC = CD = …
- Mensuration: Using the same garden, calculate the perimeter of the garden.
- Linear Programming: In the diagram, R is the unshaded region. Which three inequalities des…
- Linear Programming: Find the maximum value of 2x + y within the region R.
- Travel Graphs: The speed-time graph shows a lorry which starts from rest and increase…
- Travel Graphs: Given that the acceleration of the lorry between 10 and 16 seconds is …
- Travel Graphs: Calculate the total distance covered by the lorry.
- Similarity and Congruency: A map is drawn to a scale of 1 : 200 000. The actual area of a town is…
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