-
Sulphur (IV) oxide gas was bubbled through acidified potassium dichromate (VI) solution. Acidified barium nitrate solution was then added to the mixture. Explain the observations made.
Date posted:
November 14, 2019
-
(a) Complete the table for y = Sin x + 2 Cos x.
(b) Draw the graph of y = Sin x + 2 cos x.
(c) Solve sin x + 2 cos x = 0 using the graph.
Date posted:
November 14, 2019
-
Use the information in the table to answer the questions that follow.
A mixture containing 34g of CuSO4 and 70g of AgNO3 in 100g of water at 70oC was cooled to 30oC.
a. Which salt crystallized out?
b.Calculate the mass of the crystals formed.
Date posted:
November 14, 2019
-
Substance A and B reacted to form a gaseous product AB3 as shown in the following equation below.
The figure below shows how the percentage of gas AB3 in the equilibrium mixture changes with temperature.
(a) Explain how the percentage of AB3 gas changes as shown in the figure.
(b) On the axes below, sketch a graph showing how percentage of AB3 gas at equilibrium with the mixture changes with pressure.
Date posted:
November 14, 2019
-
In an experiment, a mixture of 126.0 cm3 nitrogen and 120.0 cm3 hydrogen gases was heated in the presence of iron catalyst. Determine the composition of the resultant gaseous mixture.
Date posted:
November 14, 2019
-
A polymer has the following structure;
Give the name of the monomer for the polymer above, and draw its structure.
Date posted:
November 14, 2019
-
Give the systematic names of the following:
Date posted:
November 14, 2019
-
On map of scale 1:25000 a forest has an area of 20cm2. What is the actual area in Km2.
Date posted:
November 13, 2019
-
Eighteen labourers dig a ditch 80m long in 5 days. How long will it take 24 labourers to dig a ditch 64 m long?
Date posted:
November 13, 2019
-
Find cos x – Sin x, if tan x= ¾ and 90o ≤ x ≤ 360o.
Date posted:
November 13, 2019
-
Factorise x2 – y2, hence evaluate 32822 - 32722
Date posted:
November 13, 2019
-
(a) After t seconds, a particle moving along a straight line has a velocity of Vm/s and an
acceleration of (5 – 2t)m/s². the particles initial velocity is 2m/s.
(i) Express V in terms of t.
(ii) Determine the velocity of the particle at the beginning of the third second.
(b) Find the time taken by the particle to attain maximum velocity and the distance it covered to attain the maximum velocity.
Date posted:
November 13, 2019
-
Andai recorded data on observation of time spent by a local university’s first year bachelor of Commerce students at library as follows;-
Calculate:
a) The mean
b) The median
Date posted:
November 13, 2019
-
A bullet of mass 20 g moving at 400 m/s strikes a block of wood of mass 3.5kg initially at rest. The bullet sticks into the block and the two move off together on a horizontal surface, where a frictional retarding force of 4N is acting between the block and surface.
(i) Determine the initial common velocity of bullet and wooden block.
(ii) What distance does the block move before coming to rest?
Date posted:
November 13, 2019
-
The figure below shows a body of mass;𝑚=200𝑔 attached to the centre of a rotating table with a string. The radius of the string was varied and different values of angular velocity recorded. The mass of the body remained constant throughout the experiment
The results obtained for angular velocity and radius were used to plot the following graph;
From the above graph;
(i) Calculate the value of the slope
(iii)State the significance of P.
Date posted:
November 13, 2019
-
An object weighs 1.04N in air, 0.64N when fully immersed in water and 0.72N when fully immersed in a liquid. If the density of water is 1000 kgm-3, find the density of the liquid.
Date posted:
November 13, 2019
-
The figure below shows a Bunsen burner.
Use the Bernoulli’s Principle to explain how air is drawn into the burner when the gas tap opened.
Date posted:
November 13, 2019
-
A car is brought to rest from a speed of 30m/s in 2 seconds. If the driver’s reaction time is 0.3s, determine the shortest stopping distance.
Date posted:
November 13, 2019
-
The spiral springs shows in the figure below are identical. Each spring has a spring constant K = 300 N/m .Each rod weighs 0.1 N and each spring weighs 0.2 N.
(a) Determine the total extension caused by the 150 N weight.
(b) Apart from length of the spring and nature of material, state one other factor affecting the spring constant.
Date posted:
November 13, 2019
-
The figure below shows a glass tumbler partly filled with water at room temperature.
Briefly explain what happens to the stability of the tumbler when water is cooled to temperatures below 0 degrees C.
Date posted:
November 13, 2019
-
The pattern below shows oil leakage on a path at the rate of 10 drops per second form a lorry
Calculate the acceleration of the lorry.
Date posted:
November 13, 2019
-
The figure below shows a clinical thermometer.
State the function of the constriction.
Date posted:
November 13, 2019
-
In an experiment to estimate the size of a molecule of olive oil, a drop of oil of volume 0.12cm3 was placed on a clean water surface. The oil spread on a patch of
diameter 6.0 x 106 mm2.
a) Calculate the size of the molecule.
b) State an assumption made in the above calculations.
Date posted:
November 13, 2019
-
The diagram below shows the behaviour of mercury in a capillary tube.
Explain the behaviour.
Date posted:
November 13, 2019
-
(a) On the Cartesian plane below, draw the quadrilateral PQRS with vertices P(4,6), Q(6,3), R(4,4), and S(2,3)
(b) Draw P′Q′R′S′ the image of PQRS under the transformation defined by the translation vector 
Write down the coordinates of P′Q′R′S′.
(c) P′′Q′′R′′S′′ is the image of P′Q′R′S′ when reflected in the line y = 1. On the same plane, draw P′′Q′′R′′S′′.
(d) Draw P′′′Q′′′R′′′S′′′ the image P′′Q′′R′′S′′ when reflected in the line y – x = 0
(e) Find by construction, the centre of the rotation that maps P′′′Q′′′R′′′S′′′ onto PQRS and hence determine the coordinates of the centre of the rotation and the angle of the rotation.
Date posted:
November 13, 2019
-
The figure below shows a vernier calipers scale.
State the correct reading of scale if the instrument has a zero-error of -0.02cm
Date posted:
November 13, 2019
-
The figure below shows a rectangular sheet of metal whose length is twice its width.
An open rectangular tank is made by cutting equal squares of length 60 cm from each of its four corners and folding along the dotted lines shown in the figure above. Given that the capacity of the tank so formed is 1920 litres and the width of the metal sheet used was x cm;
a) (i) Express the volume of the tank formed in terms of x cm.
(ii) Hence or otherwise obtain the length and width of the sheet of metal that was used.
b) If the cost of the metal sheet per m2 is Kshs 1000 and labour cost for making the tank is 300 per hour.
Find the selling price of the tank in order to make a 30% profit if it took 6 hours to make the tank.
Date posted:
November 13, 2019
-
A village Q is 7 km from village P on a bearing of 0450. Village R is 5 km from village Q on a bearing of 1200 and village S is 4 km from village R on a bearing of 2700.
a) Taking a scale of 1 m to represent 1 Km, locate the three villages.
b) Use the scale drawing to find the:
i. Distance and bearing of the village R from village P.
ii. Distance and bearing of village P from village S.
iii. Area of the polygon PQRS to the nearest 4 significant figures.
Date posted:
November 13, 2019
-
A sector of angle 1080 is cut from a circle of radius 20 cm. It is folded to form a cone.
Calculate:
(a) The curved surface area of the cone.
(b) The base radius of the cone.
(c) The vertical height of the cone.
(d) If 12 cm of the cone is chopped off to form a frustrum as shown below.
Calculate the volume of the frustum formed.
Date posted:
November 13, 2019
-
What mass of copper would be deposited from a solution of copper (II) chloride when a current of 3.0A is passed through the copper (II) chloride solution during electrolysis for 50 minutes? (Cu = 63.5, Faraday’s constant= 96,500 Coulombs)
Date posted:
November 13, 2019