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Simplify $\frac{2a^2 - 3ab - 2b^2}{4a^2 - b^2}$
Date posted:
January 20, 2017
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Given that $6.5\le x \le 10$ and $2.5 \le y \le 4$ find:
(a) The maximum value of $\frac{x}{y}$
(b) The minimum value of x + y
Date posted:
January 17, 2017
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The length of a rectangle is increased by 10% and the width by 20%. Determine the percentage change in area.
Date posted:
January 17, 2017
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The following data shows sizes of shoes worn by eleven form two students.
6, 7, 7, 4, 8, 10, 9, 7, 5, 6, 5. Determine the interquartile range of the shoe sizes.
Date posted:
January 17, 2017
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Given that log 7 = 0.84510 and log 5 = 0.69897, find the logarithm of 980 without using tables or calculator
Date posted:
January 16, 2017
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Calculate the equation of a mirror line that reflects A(2, 7) onto A' (6, -1)
Date posted:
January 16, 2017
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$\frac{x^4 - 4}{x^2 -2} \ = K$
Date posted:
January 16, 2017
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The difference between two digits is 8. Find the value of the two digits if their product is to be maximum
Date posted:
January 16, 2017
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If $ 2^{x + 5} = (\frac{1}{16})^{-1}$ and 42x - y =$\frac{1}{4}$ increase 105 in the ratio $y - x:\frac{1}{3}y$ and find the percentage change.
Date posted:
January 16, 2017
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20 soldiers left for war and took with them food that would last 7 days. After 4 days, 4 of the soldiers were recalled back to the headquarters. For how long did the remaining food last if the rate of consumption remained unchanged?
Date posted:
January 16, 2017
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John's family spends Ksh. 2,700 per month on vegetables. Last month, the price of vegetables went up in the ratio $1\frac{1}{4}$:1. If the family decided to reduce the amount of vegetables consumed in the ratio $\frac{14}{15}$, determine the change in the family's monthly expenditure on vegetables.
Date posted:
January 16, 2017
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Find the area of the rectangle if the perimeter of a rectangle is $4(2 + \sqrt{3}) \ cm$ and one of its sides is $1 + \sqrt{3}$ cm long.
Date posted:
January 16, 2017
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$\frac{28 \times 5.54 + 72 \times 5.54}{7.77^2 - 2.23^2}$
Date posted:
January 16, 2017
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A polygon has (n - 1) sides. Two of its angles are right angles and each of the remaining angles is 144o. Find the number of sides of the polygon.
Date posted:
January 16, 2017
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sin 3x - cos 3x = 0 for 0o$\le x \le $360o
Date posted:
January 16, 2017
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$\frac{x}{2} - 1 \lt \frac{x}{5}, \frac{3}{8} + \frac{x}{3} \ge \frac{x}{4}$
Date posted:
January 16, 2017
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Find the value of x from the following:
sin(2x - 30)o = cos(3x - 50o)
Date posted:
January 16, 2017
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A vector A passes through the points A(7,9) and B(3,5). Vector b passes through the points C(x, -2) and D(-5,0). If a is parallel to b, determine the value of x.
Date posted:
January 16, 2017
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$\frac{2}{(3.432)^{1/3}} + \frac{4}{\sqrt {0.0684}}$
Date posted:
January 16, 2017
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The coordinates of the points A and B are (2, 5, 4) and (2, 1, 8) respectively. In what ratio does the point C(2, 4, 5) divide AB?
Date posted:
January 14, 2017
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The length and width of a rectangle measured to the nearest millimeter are 7.8 cm and 4.7 cm respectively.
Find to 4 significant figures the percentage error in the area of the rectangle.
Date posted:
January 14, 2017
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Mutuku and Kamau live 40 km apart. Mutuku starts from his home and cycles towards Kamau's house at 16 km/h. Kamau starts from his home at 8:00 am and cycles towards Mutuku. At what time do they meet?
Date posted:
January 9, 2017
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a) Find the capacity of the water tank in litres
b) Water was allowed into the empty tank at 10.00 pm at a constant rate of 25 litres per second. What time will the tank be completely full? Give your answer in 24 hours system.
Date posted:
January 9, 2017
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Calculate the angle the line 2x - 4y = 1 makes with the x-axis.
Date posted:
January 9, 2017
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A quantity x varies partly as the cube of y and partly varies inversely as the square of y. When y = 2, x = 108 and when y = 3, x = 259. Find the value of x when y = 6.
Date posted:
January 6, 2017
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Three men working for 8 hours a day take 6 days to dig a trench 9 m long. How long would five men working 4 hours a day take to dig a trench 45 m long?
Date posted:
January 6, 2017
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Expand the expression $(2 - \frac{1}{5}x)^4 $ upto the term x3 and use the expansion to find the value of 1.964
Date posted:
January 6, 2017
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Log (x - 2) + Log (x + 1) = 1 + Log 4
Date posted:
December 24, 2016
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$\frac{3}{2\sqrt 5 - \sqrt 7} - \frac {2}{2\sqrt 5 + \sqrt 7}$
Date posted:
December 24, 2016
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$4 sin^2x + 4cos x = 5\ for\ 0^\circ \le x \le 360^\circ$
Give your answer in degrees.
Date posted:
December 24, 2016