-
A man deposits his money in a saving bank on monthly basis. Each deposit exceeds the previous by sh 750. If he deposited sh 1500 initially, how much money will he have deposited in 12 months
Date posted:
March 7, 2017
-
A farmer has 1 200 m wire to fence three sides of a rectangular paddock. The fourth side is a wall. Find the dimensions that will give the maximum possible area.
Date posted:
March 7, 2017
-
Solve for x in
log(x + 5) = log 4 - log(x + 2)
Date posted:
March 6, 2017
-
Three years ago a father was three times as old as his son. In three years time, the sum of their ages will be 76 years. Determine their present ages.
Date posted:
March 6, 2017
-
A plan of a house is drawn on a scale 1:500
a) What is the length of a room on the plan for which the actual length is 8 meters
b) The area of the room on the plan is 1.28 cm2. What is the actual area of the room in m2
Date posted:
March 6, 2017
-
A map is drawn to a scale of 1: 50 000 on the map, the area of a town is 4 cm2. Calculate the actual area of the town in hectares.
Date posted:
March 6, 2017
-
Simplify $\frac{2x^2 – 3xy – 2y^2}{4x^2 – y^2}$
Date posted:
March 6, 2017
-
The numerator of a fraction is three less than the denominator. When both the numerator and the denominator are increased by 5, the fraction becomes $\frac{5}{6}$. Find the original fraction
Date posted:
March 6, 2017
-
A number between 200 and 300 has its tens digit four more than the units digit. If the number is written in the reverse order the number increases by 99. Find the number.
Date posted:
March 6, 2017
-
If log2 = 0.3010, log3 = 0.4771 and log 5 = 0.6990, Find the logarithm of 3.3
Date posted:
March 2, 2017
-
A woman went on a journey by walking,by bus and by matatu. She went by bus for $\frac{4}{5}$ of the distance, then by matatu $\frac{2}{3}$ of the rest of the distance, then walked the remaining distance. The distance travelled by the bus was 55 km more than the distance walked. Find the total distance
Date posted:
March 2, 2017
-
Heline left town A at 8. 00 a.m and traveled towards town B at an average speed of 64 km/hr. Half an hour later Joyce left town B and traveled towards town A at the same speed. If the two towns are 384 km apart:
a) At what time did they meet?
b) How far from town B was their meeting point?
c) How far apart were they at 10.30 a.m?
Date posted:
March 2, 2017
-
Water flows through a circular pipe of cross-sectional area 6.16 cm2 at a uniform speed of 10 cm/sec. At 6. 00 a.m water starts flowing through the pipe into an empty tank of base area 3 m2.
a) What is the depth of the water in the tank at 8.30 a.m
b) If the tank is 1.2 m high, and a hole at the bottom through which water leaks at a rate of 11.6 cm 3 per second, determine the time at which the tank will be filled.
Date posted:
March 2, 2017
-
Point A(4, 4) maps onto point A1 (8, 10) under enlargement with linear scale factor 3. Find the coordinates of the centre of enlargement.
Date posted:
March 2, 2017
-
In order to complete a journey of 56 km, John walks for 1 hour at an average speed of V km/hr and then cycles for two hours at an average speed which is three times his walking speed. Calculate:
a) V
b) The average speed in km/hr for the whole journey
Date posted:
March 2, 2017
-
An alkanol has the following composition by mass: Hydrogen 13.5%, oxygen 21.6% and carbon 64.9%
Determine the empirical formula of the alkanol (C = 12.0: H = 1.0; O = 16.0)
Date posted:
February 22, 2017
-
Two organic compounds P and Q decolourise acidified potassium manganate (VII) solution, but only P reacts with sodium metal to give a colourless gas. Which homologous series does compound P belong? Give a reason.
Date posted:
February 22, 2017
-
Explain why the solubility of ethane in water is lower than of ethanol
Date posted:
February 22, 2017
-
Some animal and vegetable oils are used to make margarine and soap. Give the reagent and conditions necessary for converting the oils into:
a) Margarine
b) Soap.
Date posted:
February 22, 2017
-
Explain why the boiling point of ethanol is higher than that of hexane (Relative molecular mass of ethanol is 46 while that of hexane is 86)
Date posted:
February 21, 2017
-
The boiling point of ethanol, propanol and butanol are 78oC, 97.2oC and 117oC. Explain this trend
Date posted:
February 21, 2017
-
Pentane and ethanol are miscible. Describe how water could be used to separate a mixture of pentane and ethanol
Date posted:
February 21, 2017
-
State the observation that would be made when a piece of sodium metal is placed in samples of:
i) Pentane
ii) Pentanol
Date posted:
February 21, 2017
-
a) Name the raw material from which sodium is extracted.
b) Give a reason why sodium is extracted using electrolysis
c) Give two reasons of sodium metal
Date posted:
February 21, 2017
-
Aluminium is both malleable and ductile
a) What is meant by?
i) Malleable
ii) Ductible
b) State one use of alumunium based on:
i) Malleability
ii) Ductility
Date posted:
February 21, 2017
-
a) Explain why the metals magnesium and aluminium are good conductors of electricity
b) Other than cost, give two reasons why aluminium is used for making electric cables while magnesium is not.
Date posted:
February 21, 2017
-
When the oxide of element H was heated with element H was heated with powdered carbon the mixture glowed and carbon (IV) oxide was formed. When the experiment was repeated using the oxide of element J, there was no apparent reaction.
a) Suggest one method that can be used to extract element J from its oxide
b) Arrange the elements H, J and carbon in the order of their decreasing reactivity.
Date posted:
February 21, 2017
-
Aluminium metal is a good conductor and is used for overhead cables. State any other two properties that make aluminium suitable for this use.
Date posted:
February 21, 2017
-
Give one advantage and one disadvantage of using petrol containing tetraethyl lead in motor vehicles
Date posted:
February 21, 2017
-
a) Explain why it is not advisable to use wood ash for cleaning aluminium utensils
b) Duralumin is an alloy of aluminium. What is the advantage of using duralumin in place of aluminium for manufacture of aeroplane parts
Date posted:
February 21, 2017