A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress. What fraction remains?
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2004
Solve for t in the equation \(\frac{3}{4}t+\frac{1}{3}(21-t)\) = 11,
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2004
If \(y = 23_{five} + 101_{three}\), find y, leaving your answer in base two
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2004
1. Evaluate \( 202^2_{three} - 112^2_{three}\)
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2004
(a) Copy and complete the following table of values for the relation \(y = 2x^{2} - 7x - 3\).x-2-1012345y19-3-9(b) Using 2 cm to 1 unit on the x- axis and 2 cm to 5 units on the y- axis, draw the graph of \(y = 2x^{2} -…
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2004
(a) Simplify : \(\sqrt{1001_{two}}\), leaving your answer in base two.(b) In the diagram, O is the centre of the circle radius x. /PQ/ = z, /OK/ = y and < OKP = 90°. Find the value of z in terms of x and y.(c) In the…
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2004
The frequency distribution shows tha marks of 100 students in a Mathematics test.Marks1-1011-2021-3031-4041-5051-6061-7071-8081-9091-100No. ofStudents24913183213531(a) Draw cumulative frequency curve for the distributio…
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2004
K(lat. 60°N, long. 50°W) is a point on the eart's surface. L is another point due East of K and the third point N is due South of K. The distance KL is 3520km and KN is 10951km.(a) Calculate: (i) The longitude of L ; (i…
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2004
Using a ruler and a pair of compasses only,(a) Construct : (i) \(\Delta PQR\) such that /PQ/ = 8cm, /PR/ = 7cm and < QPR = 105°. (ii) locus \(L_{1}\) of points equidistant from P and Q. (iii) locus \(l_{2}\) of point…
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2004
(a) In the diagram, XY is a chord of a circle of radius 5cm. The chord subtends an angle 96° at the centre. Calculate, correct to three significant figures, the area of the minor segment cut-off. (Take \(\pi = \frac{22}…
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2004
(a) The angles of depression of the top and bottom of a building are 51° and 62° respectively from the top of a tower 72m high. The base of the building is on the same horizontal level as the foot of the tower. Calculat…
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2004
(a) Simplify : \((\frac{x^{2}}{2} - x + \frac{1}{2})(\frac{1}{x - 1})\)(b) A point P is 40km from Q on a bearing 061°. Calculate, correct to one decimal place, the distance of P to (i) north of Q ; (ii) east of Q.(c) A…
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2004
The table shows the marks scored by a group of students in a class test.Marks012345Frequency149853(a)(i) Calculate the mean mark ; (ii) Find the median.(b) If the information were to be represented in a pie chart, what…
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2004
(a) The sides of an isosceles triangle triangle are in the ratio \(7 : 5 : 7\). Calculate, correct to the nearest degree, the angle included between the equal sides.(b) The sum of the interior angles of a regular polygo…
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2004
(a) AB is a chord of a circle centre O. If |AB| = 24.2 cm and the perimeter of \(\Delta\) AOB is 52.2 cm, calculate < AOB, correct to the nearest degree.(b) A rectangular tank 60cm by 80cm by 100cm is half filled wit…
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2004
(a) In the simultaneous equations : \(px + qy = 5 ; qx + py = -10\); p and q are constants. If x = 1 and y = -2 is a solution of the equations, find p and q.(b) Solve : \(\frac{4r - 3}{6r + 1} = \frac{2r - 1}{3r + 4}\).…