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The figure below shows a pulley system being used to raise a load.
This pulley system has an efficiency of 75%.
(i) Determine the velocity ratio of the system.
(ii) Determine the mechanical advantage of the pulley system.
(iii) Determine the effort required to raise a load of 240kg.
(iv) Determine the work done by a person using this machine in raising a load of 120kg through a vertical distance of 2.5m
Date posted:
November 22, 2019
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The figure below shows a plastic egg supported vertically by a stream of air from a pump.
Explain why the egg will not move away from the midstream position.
Date posted:
November 22, 2019
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Three identical springs each of weight 1.5N are arranged to support a 50N load as shown in the figure below:
a) Given that one such a spring extends by 2 cm when a load of 20N hangs on its lower end, determine its spring constant.
b) If the glass rod weighs 0.5N, determine the total extension of the system of springs.
Date posted:
November 22, 2019
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The figure below shows two corks X and Y fixed on a polished plate and a dark plate with candle wax.
Explain the observation made, when the heater is switched on for a short time interval.
Date posted:
November 22, 2019
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The figure below shows a micrometer screw gauge holding a ball bearing. Use the figure to answer questions (i) and (ii)
i) State the function of the part labeled B in measuring the dimension of the ball bearing
ii) Determine the radius of the ball bearing in S.I. units.
Date posted:
November 22, 2019
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Figure 1 shows a wire wound closely on a test tube. Given that L = 12 mm, determine the thickness of the wire.
Date posted:
November 22, 2019
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The figure below shows a simple tent. AF=FB=10cm, AB=12cm and BC=FE=AD=20cm. On the tent, a tight rope is tied as shown on the diagram from BD,DE and EA. Draw the net of the tent and show the path of the rope on the net using the scale 1cm rep. 5cm.
Date posted:
November 20, 2019
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Momanyi spent one eighth of his February salary on farming, half on school fees and two thirds of the remainder on food. Calculate his February salary and the amount he spent on school fees if he spent sh. 3200 on food.
Date posted:
November 20, 2019
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a) The first term of a geometric Progression is 4.If the common ration is 2, find the greatest number of Terms that will give a sum less than 40.
b) the 2nd, 4th and 7th terms of an Arithmetic progression are the first 3 consecutive terms of a Geometric progression ,if the common difference of the Arithmetic progression is 2,find
i) the common ratio
ii) the sum of the first eight terms of the Geometric progression.
Date posted:
November 20, 2019
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a)A plane flew due East to a town Q from a town P(600N,160W). The plane covered a distance of 5400nm.
Find;
i) Find the position of Q
ii) The time at P when the time at Q is 0140 hrs on a Wednesday.
b) Another plane flew P to Q through the North Pole at a speed of 667 1/3 km determine the time taken by the plane (take π = 22/7) , R=6370 km)
Date posted:
November 20, 2019
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The table below shows data collected from an experiment involving two variables P and T
The variables are believed to satisfy an equation of the form p= k/T + m where k and m are constants.
a) For each of the value of T in the table above,write down the value of 1/T
b) (i) Using the scale 2cm to represent 1 unit on both axes draw a suitable straight line graph on the grid provided.
ii) Use the graph to estimate the value of k and m
iii) Write down the equation connecting P and T
Date posted:
November 20, 2019
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The table below shows marks obtained by 60 form four students in an English test.
(a) State the modal class
(b) Using an assumed mean of 52,
Calculate:
(i) The actual mean
(ii) The standard deviation
(c) Estimate the median mark
Date posted:
November 20, 2019
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In a second year class of a certain college, 2/3 are boys and the rest are girls. 4/5 of the boys and 9/10 of the girls are right handed ,the rest are left handed. The probability that a right handed students will answer a question correctly is 1/10 and the corresponding probability for a left handed students is 3/10 irrespective of the sex.
(a) Draw a tree diagram to represent the above information
(b) Determine:
i) The probability that a student chosen at random from the class is left hand
ii) The student is a girl and answers the questions incorrectly
iii) The probability that a question is answered correctly
Date posted:
November 20, 2019
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Toa sababu nne zinazosababisha watu kufanya makosa katika matumizi ya lugha.
Date posted:
November 20, 2019
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Fafanua mambo manne yaliyochochea usanifishaji wa Kiswahili wakati wa ukoloni nchini.
Date posted:
November 20, 2019
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a) Complete the table below for y = x3 + 2x2 - 5x - 4
b) On the grid provided, draw the graph of y = x3 + 2x2 - 5x - 4 for -4 ≤ x ≤3. Use 2cm to represent 1 unit on the x axis and 1cm to represent 5 units on the y axis
c) i) Use the equation to solve the equation x3 + 2x2 - 5x - 4 = 0
ii) By drawing a suitable straight line on the graph, solve the equation x3 + 2x2 - 2x - 10 = 0
Date posted:
November 20, 2019
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Tambua aina za shamirisho katika sentensi ifuatayo.
Gaidi aliyepigwa risasi alikuwa amebeba bunduki.
Date posted:
November 20, 2019
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The table below shows the income tax rates in a certain year.
Mrs.Masau earned a basic salary of ksh18600 per month and allowances amounting to ksh 7800 per month. She claimed a personal relief of ksh 1080 per month.
Calculate:
a) Total taxable income in k£ p.a
b) i) the tax payable in ksh per month without relief
ii)the tax payable in ksh per month after relief
c) Mrs. Musau’s net monthly income
Date posted:
November 20, 2019
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Ni hisia zipi zinazodhihirika katika matumizi haya ya vihisishi.
(i) Maskini! Alinyimwa msaada na serikali
(ii) Wallahi! Nikikutana naye atajuta kwa nini kazaliwa.
Date posted:
November 20, 2019
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Find y given that 
is a singular matrix.
Date posted:
November 20, 2019
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Evaluate 
Date posted:
November 20, 2019
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a) Expand and simplify the expression (1+2x)6.
b) Use the first four terms of the expression in (a) above to find the approximate value of (1.02)6.
Date posted:
November 20, 2019
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Ondoa ‘o’ rejeshi bila kubadilisha maana.
Kuimba kulikosifika siku nyingi sasa kunatia shaka
Date posted:
November 20, 2019
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Fafanua aina ya hali katika sentensi hii.
Mtoto acheza mpira
Date posted:
November 20, 2019
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A two digit number is such that the product of its tens and ones is 56.When the digits are reversed the number formed exceeds the original number by 9. Find the number.
Date posted:
November 20, 2019
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Two taps P and Q can fill a cistern in 6 minutes and 4 minutes respectively. Another tap R can drain the same cistern in 8 minutes. Tap Q and R are opened for 2 minutes and then tap P is opened. Find the time taken to fill the cistern.
Date posted:
November 20, 2019
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The area of a sector of a circle of radius 15cm is 270cm2 .If the area of the sector subtends
an angle Ø at the centre of the circle, calculate: Use π= 22/7
a) The size of angle Ø in radians
b) The length of the arc subtended by the angle Ø
Date posted:
November 20, 2019
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Without using tables or calculator evaluate
Date posted:
November 20, 2019
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During the 1998 Safari rally, our local driver Patrick Njiru covered 550km in 2hours.Find the percentage error in his speed.
Date posted:
November 20, 2019
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In the figure below PQ is parallel to RS. PS and QR intersect at A. Given that PQ=9cm, RS=3cm and AS=4cm, calculate the length of PS.
Date posted:
November 20, 2019