- Sets: The Venn diagram below shows three sets A,B and C . Use set notation t…
- Sets: Given that E={0,1,2,3,4,5,6,7,8,9},A={2,3,6,8} and B={3,6,7,9}, list (…
- Algebra: Simplify 4 − 2(b − a) − 1.
- Index Notation: Evaluate (⁴√81)^3.
- Algebra: Factorise completely 32x^2 − 50.
- Coordinate Geometry: Find the gradient of a line which passes through (−5, 3) and (−4, 1).
- Vectors In Two Dimensions: The vector vec(PQ) = matrix(-3; 2). Given that the point P is (1, 4), …
- Matrices: Given that S = matrix(1, 0, -4; -2, 1, 1), find S^T.
- Matrices: Given that R = matrix(2, -1; 1, 3) and S = matrix(1, 0, -4; -2, 1, 1),…
- Sequences and Series: For the sequence −10, −7, −4, −1, …, find the 17th term.
- Sequences and Series: For the sequence −10, −7, −4, −1, …, find the sum of the first 20 term…
- Probability: There are 4 blue and 5 white marbles in a bag. What is the probability…
- Quadratic Equations: Solve the equation 2x^2 + 5x − 3 = 0.
- Symmetry: The diagram shows a prism with a base that is a regular hexagon. How m…
- Earth Geometry: The diagram below shows point A(60°N, 30°W), B(30°S, 30°W) and C(30°S,…
- Earth Geometry: The points A(60°N, 30°W) and B(30°S, 30°W) lie on the same meridian. I…
- Index Notation: Evaluate 3^0 × 3^3 + 3^1.
- Mensuration: The diagram shows a sector of a circle with centre O and radius 4.2 cm…
- Approximations: The mass, m, of a block of wood is 876.4 g, correct to 1 decimal place…
- Approximations: The length of a piece of wire is 15.2 cm, correct to 1 decimal place. …
- Bearings: The diagram below shows Mr Moenda's trip. He travels on a bearing of 1…
- Bearings: The diagram below shows Mr Moenda's trip. He travels on a bearing of 1…
- Relations and Functions: The functions f and g are defined as f(x) = 2x + 1 and g(x) = (3x − 5)…
- Relations and Functions: The functions f and g are defined as f(x) = 2x + 1 and g(x) = (3x − 5)…
- Relations and Functions: The functions f and g are defined as f(x) = 2x + 1 and g(x) = (3x − 5)…
- Circle Theorems: In the diagram below, A, B, C, D and E are points on the circumference…
- Circle Theorems: In the diagram below, A, B, C, D and E are points on the circumference…
- Circle Theorems: In the diagram below, A, B, C, D and E are points on the circumference…
- Geometrical Transformations: A point R(−3, 1) is mapped onto a point S(2, −1) by a translation T. E…
- Computer and Calculator: An incomplete program in pseudocode reads: Start; Enter ……; m = ……; Ou…
- Variation: Given that y varies directly as x and inversely as the square of z, an…
- Variation: y varies directly as x and inversely as the square of z, with constant…
- Variation: y varies directly as x and inversely as the square of z, with constant…
- Social and Commercial Arithmetic: A company's working capital consists of 450 10% preference shares of K…
- Similarity and Congruency: The ratio of the volumes of two similar solids is 64 : 27. The surface…
- Trigonometry: The diagram shows triangle KLM in which KL = 16 cm, angle KLM = 150° a…
- Coordinate Geometry: The equation of line A is 3x + 2y = 10. Line B is parallel to line A a…
- Linear Programming: The diagram shows an unshaded region R bounded by four lines: the dash…
- Introduction To Calculus: Find the integral of (3x^3)/2 − 5x + 1/(x^2) with respect to x.
- Quadratic Functions: A function y = (1 + x)(x − 2). Which description matches the sketch of…
- Quadratic Functions: A function y = (1 + x)(x − 2). Find the minimum value of y.
- Travel Graphs: The diagram below shows a speed time graph of an object. It starts fro…
- Travel Graphs: In the same journey (rest → 10 m/s in 2 s; constant for 6 s; accelerat…
- Travel Graphs: In the same journey (rest → 10 m/s in 2 s; constant 10 m/s for 6 s; sp…
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