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- In the figure below PQ = Q and PR = r QM: MR = 1:2. The point S is the midpoint of PQ. (Solved)
In the figure below PQ = Q and PR = r QM: MR = 1:2. The point S is the midpoint of PQ. X is the intersection of PM and SR. SX = hSR, pX = kPM where k and h are constants.
Find:
a) QR in terms of q and r.
b) PM in terms of q and r
c) SR in terms of q and r
d) Express SX in two ways in terms of h,r and q and in terms of k,r and q, hence determine the ratio in which x divides SR.
Date posted: September 12, 2019.
- The figure below shows an object placed infront of a prism as shown.
Using two rays show the image of the object as observed by an...(Solved)
The figure below shows an object placed infront of a prism as shown.
Using two rays show the image of the object as observed by an observer at E.
Date posted: September 12, 2019.
- a) Draw the graph of y= - x2 + 2x + 8(Solved)
a) Draw the graph of y= - x2 + 2x + 8 for
b) Use 6 trapezia to estimate the area enclosed by the curve y = -x2 + 2x + 8, the line x = -2 and X= 4 and the x - axis
c) Hence find the percentage error in area of (b) above and the exact area.
Date posted: September 12, 2019.
- Give a reason why lecture theatre halls are covered with soft perforated materials.(Solved)
Give a reason why lecture theatre halls are covered with soft perforated materials.
Date posted: September 12, 2019.
- Explain why a p-n junction diode will conduct when connected in forward bias.(Solved)
Explain why a p-n junction diode will conduct when connected in forward bias.
Date posted: September 12, 2019.
- Calculate the volume of nitrogen (I) oxide produced when 38.2g of ammonium nitrate is completely decomposed by heating
(at s.t.p). (N = 14, H = 1,...(Solved)
Calculate the volume of nitrogen (I) oxide produced when 38.2g of ammonium nitrate is completely decomposed by heating
(at s.t.p). (N = 14, H = 1, O = 16)
Date posted: September 12, 2019.
- A company wishes to buy two types of squash machines; Electric and manual.(Solved)
A company wishes to buy two types of squash machines; Electric and manual. A manual machine requires 4 attendants whereas an electric one requires two. An electric machine fills 300 packets per hour; a manual one can fill 200 packets per hour. At least 3000 packets need to be filled per hour and the number of attendants should not exceed 40.
a) Write down inequalities to describe these conditions and graph them.
b) If for every hour it is used, an electric machine brings a profit of shs. 200 and a manual one shs. 500, determine the number of machines of each type that should be installed in order to maximize profit per hour.
c) Find the maximum profit
Date posted: September 12, 2019.
- Complete the table below.(Solved)
Complete the table below.
Date posted: September 12, 2019.
- A cupboard has 7 white cups and 5 brown cups all identical in size and shape.(Solved)
A cupboard has 7 white cups and 5 brown cups all identical in size and shape. There is a blackout in the town and Mrs. Wafula has to select three cups one after the other without replacing the previous ones.
a) Draw a tree diagram for the information.
b) Calculate the probability that she chooses.
i) Two white cups and one brown cup
ii) Two brown cups and one white cup.
iii) At least one white cup.
iv) Three cups of the same colour
Date posted: September 12, 2019.
- The figure below shows a combination of capacitors across a power supply.(Solved)
The figure below shows a combination of capacitors across a power supply.
Determine the energy stored in the system of capacitors.
Date posted: September 12, 2019.
- Two grades of tea, costing sh 100 and 150 per kg respectively are mixed in the ratio 3:5 by weight.(Solved)
Two grades of tea, costing sh 100 and 150 per kg respectively are mixed in the ratio 3:5 by weight. The mixture is then sold at sh. 160 per kg. Find the percentage profit on the cost price.
Date posted: September 12, 2019.
- Use the information in the table below to answer the questions that follow.(Solved)
Use the information in the table below to answer the questions that follow.
(a) Write the electron arrangement of:
(i) ion of S
(ii) atom of T
(b) Explain why the melting point of T is higher than that of U.
Date posted: September 12, 2019.
- A translation maps a point P(3,2) onto P` ( 5,-4)(Solved)
A translation maps a point P(3,2) onto P` ( 5,-4).
a) Determine the translation vector.
b) A point Q` is the image of the point Q ( 2,5) under the same translation. Find the length of P` Q` leaving the answers in surd form.
Date posted: September 12, 2019.
- State one differences between an image formed by a plane mirror and that observed through a pinhole camera.(Solved)
State one differences between an image formed by a plane mirror and that observed through a pinhole camera.
Date posted: September 12, 2019.
- a) Expand ( 3x - 1/3 y)4 fully(Solved)
a) Expand ( 3x - 1/3 y)4 fully
b) By substituting suitable values of x and y in your expansion, obtain the value of (29.5)4 to 4 significant figures.
Date posted: September 12, 2019.
- The diagram below shows an electrical appliance connected to the mains.(Solved)
The diagram below shows an electrical appliance connected to the mains.
I. Name the color codes for leads A and B
II. What is the purpose of the fuse.
Date posted: September 12, 2019.
- A circle of radius 7 units has it’s centre at the point of intersection between the lines x +2y + 1 = 0 and 2x...(Solved)
A circle of radius 7 units has it’s centre at the point of intersection between the lines x +2y + 1 = 0 and 2x + 3y – 3 = 0
Find the equation of the circle expressing it in the form x2 + y2+ gx +fy +c =0
Date posted: September 12, 2019.
- A car of mass 800kg starts and accelerates at 1.2ms-2. Determine its momentum after it has moved 400m from the starting point.(Solved)
A car of mass 800kg starts and accelerates at 1.2ms-2. Determine its momentum after it has moved 400m from the starting point.
Date posted: September 12, 2019.
- Make x the subject of the formula.(Solved)
Make x the subject of the formula.
Date posted: September 12, 2019.
- You are given the following half equations:(Solved)
You are given the following half equations:
(i) Obtain an equation of the cell reaction.
(ii) Calculate the value for the cell.
(iii) Give the oxidizing species.
Date posted: September 12, 2019.
- Solve the following equation;(Solved)
Solve the following equation;
Date posted: September 12, 2019.
- The length and breath of a rectangular card were measured to the nearest millimeter and found to be
14.5 cm and 10.6 cm respectively.(Solved)
The length and breath of a rectangular card were measured to the nearest millimeter and found to be
14.5 cm and 10.6 cm respectively. Find the percentage error in the perimeter.
Date posted: September 12, 2019.
- The structures below represent two cleaning agents M and P.(Solved)
The structures below represent two cleaning agents M and P.
Which cleaning agent would be most suitable for use with water containing calcium sulphate. Give a reason.
Date posted: September 12, 2019.
- The figure below represents a sphere 0.012m³ volume and mass 5kg floating between two liquids A and B such that 2/3 of its volume is...(Solved)
The figure below represents a sphere 0.012m³ volume and mass 5kg floating between two liquids A and B such that 2/3 of its volume is in liquid A. Density of liquid B is 800kg/m³
(Take g = 10N/kg).
a.Determine
(i) Weight of liquid B displacement.
(ii) Weight of liquid A displaced.
iii) Volume of A.
b.The sphere is now anchored at the base of the container that ¼ of its volume is in liquid A. Find the tension in the string.
Date posted: September 12, 2019.
- Use the nuclear equations below to answer the questions that follow.(Solved)
Use the nuclear equations below to answer the questions that follow.
(a) Give the actual names of particles X and Y.
(b) Give the name of a radiation whose emission does not change the mass number or the atomic number of a radioisotope.
Date posted: September 12, 2019.
- Study the chart below and answer the questions that follow.(Solved)
Study the chart below and answer the questions that follow.
(a) Identity solid X.
(b) Write an ionic equation for the reaction between P and copper (II) sulphide solution.
(c) State the observation made when gas P is bubbled through iron (III) chloride solution.
Date posted: September 12, 2019.
- A pattern of a child’s dress is provided. You are advised to study the sketches, instructions and the layout well before you begin the test.(Solved)
A pattern of a child’s dress is provided. You are advised to study the sketches, instructions and the layout well before you begin the test.
MATERIALS PROVIDED:
1. Pattern pieces for the dress:
A – Dress front
B – Dress back
C – Sleeve
D – Cuff
E – Pocket
F – Cuff interfacing
G – Sleeve opening binding
1. Plain light weight cotton fabric 70cm long by 90cm wide.
2. Cotton sewing thread to match the fabric.
THE TEST:
Using the materials provided cut out and make the LEFT HALF of the child’s dress to show the following:
(a) The working of the shoulder dart.
(b) The preparation and attachment of the pocket.
(c) The joining of the shoulder seam using a neatened plain seam.
(d) The joining of the side seam using a neatened open seam.
(e) The making of the bound opening of the sleeve.
(f) The joining of the under arm seam using a French seam.
(g) The preparation and attachment of an interfaced cuff.
(h) The preparation and attachment of the sleeve, without trimming the seam allowance.
At the end of the examination, firmly sew onto your work, on a single fabric, a label bearing your name and index number. Remove the needles and pins from your work, and then fold your work neatly
Date posted: September 12, 2019.
- Perspex is a synthetic polymer of formula(Solved)
Perspex is a synthetic polymer of formula
(a) Write the structural formula of the monomer of Perspex.
(b) State the type of polymerization involved in the formation of perspex.
Date posted: September 12, 2019.
- Calculate the total power in lifting 0.2kg of metal cane containing 2000cm³ of ice onto a lorry as shown below within 4S. Density of ice...(Solved)
Calculate the total power in lifting 0.2kg of metal cane containing 2000cm³ of ice onto a lorry as shown below within 4S. Density of ice is 0.9g/cm³
Date posted: September 12, 2019.
- Explain the energy change that occur when a man climbs the mountain.(Solved)
Explain the energy change that occur when a man climbs the mountain.
Date posted: September 12, 2019.