-
Three vertices of a parallelogram PQRS are P(-1,2), Q(8,-5) and R(5,0).
(i) On the grid provided below, draw the parallelogram PQRS.
(ii) Determine the length of the diagonal QS.
Date posted:
August 20, 2019
-
Mr. Kirui earns a basic salary of sh. 12,000 per month. In addition he is also paid a commission of 2½ % for sales above sh. 15,000. In a certain month, he sold goods worth sh. 140,000 at a discount of 5%. Calculate his total earning that month.
Date posted:
August 20, 2019
-
The table below shows marks scored by 40 students in a mathematics test
Calculate the median mark.
Date posted:
August 20, 2019
-
A rectangular tank has a hole in it such that 11cm3 of water leaks out every 5 seconds. Using π as 3.142. Calculate:-
(i) The capacity of the water lost from the tank every hour.
(ii) The time it takes to till a cylindrical tank of radius 30cm and height 30cm into which the leaking water drains; in hours to 4 significant figures.
Date posted:
August 20, 2019
-
Solve the equation 8x2 + 2x -3 = 0 hence solve the equation 8cos2y + 2cosy – 3 = 0 for the range 00 0.
Date posted:
August 20, 2019
-
The figure below represents a plot of land ABCD such that AB=85m, BC=75m, CD=60m, DA=50m and angle ACB = 900. (Not drawn to scale).
Determine the area of the plot, in hectares, correct to two decimal places.
Date posted:
August 20, 2019
-
A minibus covered a distance of 200km at an average speed of 100km/hr. It traveled at a speed of 80km/hr for 3/5 of its journey. At what speed did it travel the remaining part of the journey.
Date posted:
August 20, 2019
-
A test-tube consist of a cylinder and a hemisphere of the same radius; 282 cm3 of water is required to fill the whole tube and 262cm3 is required to fill it at a level of 1cm3 below the top of the tube. Find the radius of the tube and the length of the cylindrical part.
Date posted:
August 20, 2019
-
Differentiate between working storage and auxiliary storage .
Date posted:
August 20, 2019
-
Differentiate between merging cells and splitting cell in a table when using word processors.
Date posted:
August 20, 2019
-
Express the number 935 and 19845 as a product of their prime factors hence evaluate the following expression
leaving your answer in prime factor form.
Date posted:
August 20, 2019
-
Explain five benefits that may accrue to Kenya as a result of joining the East Africa community.
Date posted:
August 20, 2019
-
Read the following narrative and answer the questions that follow.
Once upon a time, Warthog and Hare were best friends and they lived together. They shared duties according to each one’s abilities. Hare had speed, therefore, duties involving fetching or delivering items fast were left to him, while Warthog, who was gifted in cooking, handled kitchen duties. However, Warthog had his shortcomings. He lost his temper easily and was ready to fight at the slightest provocation. Hare tolerated him all the same.
Things were not always good in the kitchen. The two always quarrelled over missing food. Warthog was always on the defence, denying any wrong doing. One day, Hare bought five tilapia fish but warthog only served two. When he was asked what happened to the other three fish, as usual, Warthog insisted that he knew nothing about the missing fish. Hare was aware that arguing or fighting would not bring back the lost fish. He also knew that he was smaller and could never win a physical fight against warthog.
Not long after the missing fish incident, Hare and Warthog went hunting. They chanced upon a young gazelle too weak to run. They took the gazelle home and slaughtered it. Warthog as usual was the chef. Hare left him and went for a stroll as he waited for the meat to cook. When he returned, warthog, was sleeping under a shady tree, pretending to be very tired, after cooking. Hare opened the lid and Lo! There were only few pieces of meat left.
Hare was really angry and he threatened to beat Warthog up if he failed to account for the missing pieces. Under faked annoyance, Warthog pounced on hare mid-sentence and beat him up thoroughly. Hare promised to get even. That evening, hare went to see Mr. Squirrel who was the best known magician in the whole region. Squirrel gave him a pot of honey to take to Warthog. When he went back home, Hare feigned forgiveness and invited warthog to taste the honey.
Warthog approached him cautiously, he knew that Hare was quite tricky at times. He thought the pot might contain a snake.
So he started apologizing to Hare from a distance for beating him but Hare laughed it off, reminding him that the differences between them were history and they should both start anew. Warthog, who loved honey, approached hare and scooped some which he ate greedily. However, what he did not know was that it had passed through the hands of Squirrel who had laced it with poisonous herbs that would affect Warthog and his descendants.
After eating half the pot’s contents, Warthog felt dizzy and sleepy. When he woke up, he could not remember anything, his brain had been affected by the poisonous herbs. He forgot about his friendship and quarrel with Hare. He did not even remember eating the honey. He was so confused that he ran off into the bush. Warthog’s brain has never recovered. Till now he is always confused and forgetful.
a) Classify the above narrative
b) Identify and illustrate three features of style in the narrative.
c) What makes Warthog and Hare best friends?
d) What are the economic activities in the community where the story is taken from?
e) How has Hare been portrayed in the story?
f) What moral lesson do we learn from the above story?
Date posted:
August 20, 2019
-
The distance from town A to town B is 360km. A bus left town A and traveled towards town B at an average speed of 60km/h. After 1½ hours, a car left town A and traveled along the same road at an average speed of 100km/h.
(a) Determine:
(i) The distance of the bus from town A when the car took off.
(ii) The distance the car traveled to catch up with the bus.
(b) The distance from P to Q is 160km. If an express train was 16km/h slower it would take 20 minutes longer on the journey. Find the average speed of the express train.
Date posted:
August 20, 2019
-
A transformation represented by the matrix 
maps the points A(0, 0), B(2, 0), C(2, 3) and D(0, 3) of the quad ABCD onto A¹B¹C¹D¹ respectively.
(a) Draw the quadrilateral ABCD and its image A¹B¹C¹D¹.
(b) Hence or otherwise determine the area of A¹B¹C¹D¹.
(c) Another transformation 
maps A¹B¹C¹D¹ onto A¹¹B¹¹C¹¹D¹¹. Draw the image A¹¹B¹¹C¹¹D¹¹.
(d) Determine the single matrix which maps A¹¹B¹¹C¹¹D¹¹ back to ABCD.
Date posted:
August 20, 2019
-
Two aeroplanes, T and S leave an airport A at the same time. S flies on a bearing of 0600 at 750km/h while T flies on a bearing of 2100 at 900 km/h.
(a) Use a suitable scale, to draw a diagram showing the relative position of the aeroplanes
after two hours.
(b) Use your diagram to determine:
(i) the distance between the two aeroplanes.
(ii) the bearing of T from S.
(c) Aeroplane T later flew to the East at the same speed for one hour. Show its final position
on the diagram in (a) above.
Determine:
(i) Its final distance from A.
(ii) Its final bearing from S.
Date posted:
August 20, 2019
-
The figure below shows a solid frustum with a rectangular base measuring 18cm by 24cm and the top
measuring 6 cm by 8cm. The slant edges are each 26cm long.
Determine:
a) Height of the original pyramid.
b) Volume of the frustum.
c) Density in g/cm3 if the solid has a mass of 7.488kg
Date posted:
August 20, 2019
-
The gradient of a curve at any point (x, y) is given by 3x² + 2x. If the curve passes through the point (-2, 1). Find its equation.
Date posted:
August 20, 2019
-
In the figure below O is the centre of a circle and PS is the diameter. QR is parallel to PS. If angle PSQ = 25o and angle POT = 120o.
a) Angle QRP
b) Angle PTO
c) Angle QPT
d) Angle QPS
c) Angle PTS
Date posted:
August 20, 2019
-
Show that the points P(3, 4), Q(4, 3) and R(1, 6) are collinear.
Date posted:
August 20, 2019
-
The mean of five numbers is 20. The mean of the first three numbers is 16. The fifth number is greater than the fourth by 8. Find the fifth number.
Date posted:
August 20, 2019
-
Solve the equation 2x² + 3x = 5 by completing the square method.
Date posted:
August 20, 2019
-
Find the possible values of x in the equation 9x2 = 27(2x+ 12)
Date posted:
August 20, 2019
-
The equation of line AB in the figure below is y = 3x + 5 and A is the point (0, a). Line PQ is parallel to AB and AP = 7 units.
(i) Find the value of a.
(ii) Write down the equation of PQ.
Date posted:
August 20, 2019
-
John insured his building worth shs.2,000,000 against fire for shs1,500,000. The building was gutted down by accidental fire and the remains were valued at shs 600,000. Calculate the amount of compensation.
Date posted:
August 19, 2019
-
In the figure below EFGH is a rhombus and DEF is a quilaterial triangle. Calculate ?HDG given that ?HED = 20o
Date posted:
August 19, 2019
-
A parallelogram OACB is such that OA = a, OB = b. D is the mid point of BC OE = hOC and AE = kAD.
(a) Express the following in terms of a, b, h and k.
(i) OC
(ii) OE
(iii) AD
(iv) AE
(b) Find the values of h and k.
(c) Determine the ratios:
(i) AE : ED
(ii) OE : OC
Date posted:
August 19, 2019
-
The velocity of a particle t seconds after passing a fixed point O, is given by V = at2 + bt m/s, where a and b are constants. Given that its velocity is 2 m/s when t = 1 sec and it returns to 0 when t = 4.5 secs, calculate;
(a) The values of a and b.
(b) Hence find;
(i) The values of t when the particle is instantaneously at rest.
(ii) The total distance traveled by the particle during the first 4 seconds
(iii) The maximum velocity attained by the particle
Date posted:
August 19, 2019
-
A bus left town x at 10:45 am and traveled towards town Y at an average speed of 60 km/hr. A car left town X at 11:15am on the same day and traveled along the same road at an average speed of 100 km/hr. The distance between town X and town Y is 500 km.
(i) Determine the time of day when the car overtook the bus.
(ii) Both vehicles continued towards town Y at their original speeds. Find how long the car had to wait in town Y before the bus arrived.
Date posted:
August 19, 2019
-
The figure shows a velocity time graph of an object which accelerates from rest to a velocity Vm/s then decelerates to rest in a total time of 54 seconds. If the whole journey is 810 m,
(i) Find the value of V.
(ii) Find the deceleration given the initial acceleration is 1 2/3 m/s2.
Date posted:
August 19, 2019