In the diagram, the height of a flagpole |TF| and the length of its shadow |FL| re in the ratio 6:8. Using k as a constant of proportionality, find the shortest distance between T and L
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2013
In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and < PQR = 90°, find the perimeter of the polygon PQRST.
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2013
An open cone with base radius 28cm and perpendicular height 96cm was stretched to form sector of a circle. Calculate the arc of the sector (Take \(\pi = \frac{22}{7}\))
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2013
Given that (x + 2)(x2 - 3x + 2) + 2(x + 2)(x - 1) = (x + 2) M, find M
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2013
The distance between two towns is 50km. It is represented on a map by 5cm. Find the scale used
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2013
The slant height of a cone is 5cm and the radius of its base is 3cm. Find, correct to the nearest whole number, the volume of the cone. (Take \(\pi = \frac{22}{7}\))
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2013
A pyramid has a rectangular base with dimensions 12m by 8m. If its height is 14m, calculate the volume
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2013
Given that P = x2 + 4x - 2, Q = 2x - 1 and Q - P = 2, find x.
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2013
Express \(\frac{2}{x + 3} - \frac{1}{x - 2}\) as a simple fraction
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2013
When a number is subtracted from 2, the result equals 2 less than one-fifth of the number. Find the number
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2013
What is the locus of the point X which moves relative to two fixed points P and M on a plane such that on a plane such that < PXM = 30o
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2013
The graph of the relation y = x2 + 2x + k passes through the point (2, 0). Find the values of k
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2013
If y varies directly as the square root of (x + 1) and y = 6 when x = 3, find x when y = 9
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2013
Find the values of k in the equation 6k2 = 5k + 6
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2013
If p = (y : 2y \(\geq\) 6) and Q = (y : y -3 \(\geq\) 4), where y is an integer, find p\(\cap\)Q
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2013
Which of the following is not a probability of Mary scoring 85% in a mathematics test?
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2013
The bearing of Y from X is 060° and the bearing of Z from Y = 060°. Find the bearing of X from Z
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2013
An object is 6m away from the base of a mast. The angle of depression of the object from the top of the mast is 50°, Find, correct to 2 decimal places, the height of the mast
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2013
If sin x = \(\frac{5}{13}\) and 0° \(\leq\) x \(\leq\) 90°, find the value of (cos x - tan x)
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2013
A cube and cuboid have the same base area. The volume of the cube is 64 cm3 while that of the cuboid is 80 cm3. Find the height of the cuboid