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- (a)Without using a calculator, expand (10 - 2x)5.
(b)Use your expansion in (a) above to find the value of (9.8)5.(Solved)
(a)Without using a calculator, expand (10 - 2x)5.
(b)Use your expansion in (a) above to find the value of (9.8)5.
Date posted: September 25, 2019.
- a)what is opportunity cost as used in agricultural economics?
b)State two conditions under which opportunity cost is said to be Zero(Solved)
a)what is opportunity cost as used in agricultural economics?
b)State two conditions under which opportunity cost is said to be Zero
Date posted: September 25, 2019.
- y varies inversely as the square of x. The difference between the value of y when x = 6 and when x = 10...(Solved)
y varies inversely as the square of x. The difference between the value of y when x = 6 and when x = 10 is 16. Find the law connecting x and y.
Date posted: September 25, 2019.
- Radioactive polonium -216 decays as shown below.(Solved)
Radioactive polonium -216 decays as shown below.
(i) Find the value of M and N.
(ii) If after 112 days 
of Polonium remained, calculate the half-life of polonium.
Date posted: September 25, 2019.
- Solve the equation.(Solved)
Solve the equation.
sin(2x-300)=1/2 for 00 ≤ x ≤ 3600
Date posted: September 25, 2019.
- Differentiate between pastoralism and nomadic pastoralism.(Solved)
Differentiate between pastoralism and nomadic pastoralism.
Date posted: September 25, 2019.
- Make M the subject in(Solved)
Make M the subject in 
Date posted: September 25, 2019.
- A rectangular plot measures 31.4m by 28.3m. What is the percentage error in getting it’s area.(Solved)
A rectangular plot measures 31.4m by 28.3m. What is the percentage error in getting it’s area.
Date posted: September 25, 2019.
- Evaluate using logarithms.(Solved)
Evaluate using logarithms.
Date posted: September 25, 2019.
- In a mathematics test, the probability of 3 students, Kamau, Otieno and Mwala passing are ?, ¾ and ? respectively
(a)Draw a tree diagram to represent...(Solved)
In a mathematics test, the probability of 3 students, Kamau, Otieno and Mwala passing are ⅔, ¾ and ⅚ respectively
(a)Draw a tree diagram to represent this information
(b)Use the tree diagram to find the probability that:
(i)All the three students will fail
(ii)At least two students will pass.
(iii)Only one student will pass
Date posted: September 24, 2019.
- The table below shows the income tax rates in Kenya.
Income in K£ per month Rate in Ksh / K£
1 - 325 ...(Solved)
The table below shows the income tax rates in Kenya.
Income in K£ per month Rate in Ksh / K£
1 - 325 2
326 - 975 3
976 - 1300 5
1301 - 1625 6
Over 1625 7.5
(a)Mr. Sigei is a public servant who lives in a government house and pays a nominal rent of Ksh. 1220 per month. He earns a basic salary of Ksh. 24,800 and taxable allowances of Ksh. 13,380 per month. He is entitled to a monthly tax relief of Ksh. 1120. Calculate his monthly
i)Taxable income in K£.
ii)Gross tax.
iii)Tax due
(b)Apart from income tax, the following monthly deductions are made from his salary.
i) HELB loan repayment Ksh. 2400
ii) NHIF Ksh 320
iii) 2% basic salary as union dues.
Calculate Mr. Sigei’s monthly net salary.
Date posted: September 24, 2019.
- The table below shows the distribution of marks of 40 candidates in a test
(i) Find the value of x
(ii) State the modal class
(iii) Calculate the...(Solved)
The table below shows the distribution of marks of 40 candidates in a test
(i) Find the value of x
(ii) State the modal class
(iii) Calculate the median
(iv) Calculate the mean.
Date posted: September 24, 2019.
- Without using logarithm table or calculators, find the value of p in the equation.
logn3+log4n = 10log2 - log(2/8)(Solved)
Without using logarithm table or calculators, find the value of p in the equation.
logn3+log4n = 10log2 - log(2/8)
Date posted: September 24, 2019.
- Tunga sentensi yenye muundo wa:
N + V + T + H + N + E + U + T.(Solved)
Tunga sentensi yenye muundo wa:
N + V + T + H + N + E + U + T.
Date posted: September 24, 2019.
- A farmer bought a machine at a current price of Ksh 224,000. If the depreciation rate is 5% in every 3 months. Calculate the sum...(Solved)
A farmer bought a machine at a current price of Ksh 224,000. If the depreciation rate is 5% in every 3 months. Calculate the sum of its value in 3 years ago and 3 years’ time.
Date posted: September 24, 2019.
- Rationalize the denominator leaving your answer in the form a+bvc where a, b and c are constants
(Solved)
Rationalize the denominator leaving your answer in the form a+b√c where a, b and c are constants
Date posted: September 24, 2019.
- Eleza matumizi ya kiambishi "ku"
Kulia kwake kulisababisha msongamano wa watu alikoKuwa.(Solved)
Eleza matumizi ya kiambishi "ku"
Kulia kwake Kulisababisha msongamano wa watu alikoKuwa.
Date posted: September 24, 2019.
- Solve for q in the equation Sin (3? + 1200) = v3/2 in the range 0= ? = 1800(Solved)
Solve for q in the equation Sin (3θ + 1200) = √3/2 in the range 0≤ θ ≤ 1800
Date posted: September 24, 2019.
- Expand (0.07)5 using binomial theorem giving your answer to four significant figures(Solved)
Expand (0.07)5 using binomial theorem giving your answer to four significant figures
Date posted: September 24, 2019.
- Nomino zifuatazo zinapatikana katika ngeli zipi?
i) Chumvi:
ii) Nywele:
iii) Mafuta:(Solved)
Nomino zifuatazo zinapatikana katika ngeli zipi?
i) Chumvi:
ii) Nywele:
iii) Mafuta:
Date posted: September 24, 2019.
- Without using mathematical tables or a calculator evaluate
Leaving the answer as a decimal(Solved)
Without using mathematical tables or a calculator evaluate
Leaving the answer as a decimal
Date posted: September 24, 2019.
- Ukitolea mfano mwafaka, fafanua majukumu yoyote manne ya viambishi awali.(Solved)
Ukitolea mfano mwafaka, fafanua majukumu yoyote manne ya viambishi awali.
Date posted: September 24, 2019.
- The middle digit of a number between 100 and 1000 is zero, and the sum of the other digits is 11. If the digits are...(Solved)
The middle digit of a number between 100 and 1000 is zero, and the sum of the other digits is 11. If the digits are reversed the number so formed exceeds the original by 495. Find the number.
Date posted: September 24, 2019.
- Eleza maana ya mghuno katika lugha ya Kiswahili.(Solved)
Eleza maana ya mghuno katika lugha ya Kiswahili.
Date posted: September 24, 2019.
- Use logarithm tables to evaluate(Solved)
Use logarithm tables to evaluate 
Date posted: September 24, 2019.
- Serikali kupitia Wizara ya Elimu imetoa mwongozo wa karo ambao unastahili kuzingatiwa katika shule za upili kufuatia haua ya shule mbalimbali kuongeza karo kwa viwango...(Solved)
Serikali kupitia Wizara ya Elimu imetoa mwongozo wa karo ambao unastahili kuzingatiwa katika shule za upili kufuatia haua ya shule mbalimbali kuongeza karo kwa viwango mbalimbali. Hatua hiyo inadhamiriwa kumking mzazi dhidi ya kunyanyaswa kifedha walimu hasa ikizangiwa kuwa gharama ya maisha imepanda mara dufu.Hata hivyo, ingekuwa bora ikiwa serikali ingefanya maamzi kwa ushirikiano na walimu wakuu maana kwa hakika suala la karo linahusu matumizi ya fedha ambayo pia huja na gharama zake. Gharama hii inaokana na ununuzi wa vitabu vya Kada na vya mazoezi, karatasi za uchapishaji mitihani, kwa kuwa wanafunzi sharti wasome na waandike.Vilevile, gharama hii inatokana na ununuzi wa kemikali za kutumiwa katika maabara. Aidha kuna gharama ya kuendesha michezo na tamasha za muziki na drama. Wanafunzi wa shule za malazi hula na kulala na kwa sababu hiyo maamuzi ya kifedha lazima yafanywe.Jambo ambalo linastahili kuangaliwa kwa makini ni viwanga vya kupanda kwa gharama ya maisha. Lazima tujiulize gharama hiyo imepanda kwa kiasi gani na wapi? Kwa kweli haiwezekani kununua kilo moja ya mahindi kwa bei hiyo hiyo Kitale, Mombasa na Turkana. Vile vile ni muhimu kujiuliza ikiwa shule husika ni ya mashambani au ya mjini? Kwa hivyo sharti la kifedha ni muhimu katika kuamua karo ya shule na maeneo mbalimbali nchini.Pili, hebu tuangalie ikiwa shule inavyohusika ni ya kiwango cha kaunti ndogo, kaunti au cha kitaifa. Hili ni muhimu kwa kuwa hali ya masomo katika shule hizo hutofautiana. Tofauti kuu hutokana na miundomisingi na programu za masomo zinazoendeshwa.Kwa mfano, programu za kitahmini, kompyuta na zinazohusu ziara huhitaji fedha nyingi. Shule ambayo ina masomo kama vile muziki, sanaa na sayansikimu sharti zitoze karo ya juu kwa kuwa masomo hayo huandamana na gharama ya kununua vyombo na vyakula? Sasa mbona fedha za ziada? Wanaotetea kupunguzwa kwa karo wana punguza mchango wa motisha katika ufanifu wa masomo. Ndio, baadhi ya shule hutoza karo ya juu ili kuwamotisha walimu kwa vyakula na kwa zawadi ili kuwastahi wanapopata matokea mema. Hali hiyo huwafanya kujikakamua kazini na kutoa huduma ya hali ya juu.Fedha za ziada vile vile, hutumiwa kuwajiri walimu wa ziada ikizingatiwa kuwa serikali haijawaajiri walimu wa kutosha. Pia katika baadhi ya shule, wanafunzi huandaliwa vyakula spesheli tofauti na mseto wa maharagwe na mahindi almarufu "maram" uliozoeleka katika shule nyingi ikumbukwe kuwe lishe bora ni mojawapo ya haki za kimsingi kwa watoto ambayo sharti iheshimiwe.Kwa marefu na mafupi yake, serikali haipaswi kuweka viwango sawa vya karo kwa kila shule kwa maana hilo huenda likazua mgogoro wa kiutawala katika shule nyingi. Shinikizo za kupunguzwa kwa karo inayotozwa hasa katika shule za upili zinafaa kutetewa kimantiki wala si kihisia.Mambo huenda yangekuwa tofauti ikiwa serikali ingewajibika kwa upande wake kwa kuwaajiri walimu wa kutosha kuwaongeza walimu mshahara na kuwatambua kwa zawadi wanapofanya kazi nzuri na kuwapandisha vyeo. Hata hivyo, mgala muue na haki umpe; hatua kali zinapaswa kuchukuliwa dhidi ya walimu wanaowatoza wazazi karo ya juu kupindukia ili kuendeleza maslahi yao ya kibinafsi.Naamini kuwa hatua ya Waziri wa Elimu kukutana na washikadau katika sekta ya elimu kuhusu karo na uteuzi wa wanafunzi wa kujiunga na shule za upili ni ya busara na inafaa kuta mwelekeo mzuri kuhusu masuala tata yaliyopo kwa sasa.
(a) Fafanua mambo muhimu yanayostahili kuzingatiwa katika kutathmini viwango vya karo katika shule nchini Kenya.(Maneno 65 – 70)
(b) Fupisha aya tatu za mwisho.(maneno 40 – 45)
Date posted: September 24, 2019.
- Waziri wa uchukuzi Bwana Msafiri ametoa mwito kwa kila mwananchi kusingatia sheria za barabarani ili kumaliza visa vya ajali vilivyokithiri.(Solved)
Soma kifungu kifuatacho kisha ujibu maswali.
Waziri wa uchukuzi Bwana Msafiri ametoa mwito kwa kila mwananchi kusingatia sheria za barabarani ili kumaliza visa vya ajali vilivyokithiri. Alisema kuwa ongezeko la ajali za barabarani linachangiwa pakubwa na watu binafsi.Akiongea katika hafla ya kuzindua mbinu za kuhakikisha usalama barabarani, Bwana Msafiri alisema yasikitisha kuona kuwa ajali za barabarani zimeongezeka katika siku za hivi majuzi. Alielezea kuwa wizara yake imekerwa na utekelezaji wa majukumu na mapuza miongoni mwa wanaohusika na sekta ya uchukuzi.Alisema wengi wa wenye magari wamepuza masharti mengi ambayo yaliwekwa na wizara, yaliyokusudiwa kugunguza ajali. Alisema magari mengi yamekuwa kachara na kwamba mengi yameng‘olewa vidhibiti mwendo. Basi magari yanaendeshwa kwa kasi ya umeme. Hili limeongeza ajali kwa kiasi kikubwa. Mengi hayana mishipi ya usalama na wasafiri hukabiliwa na hatari wanaposafiri. Aliongeza kuwa sura ya magari hayo ni dhihirisho kuwa wenye magari wamepotoka kabisa, ―magari mengi yamerembeshwa hata kwa picha chafu, jambo linalodhihirisha utovo wa mbeko na kutofuata sheria. Mengine yanacheza muziki kwa sauti ya juu hivi kwamba hata dereva na utingo hawawezi kusikia grudumu liking‘oka. Baadhi yao yanaonyesha picha chafu chafu za video na kuufanya usafiri kuwa vyumba vya sinema chafu!‖ Alisema kutovaa sare kwa madereva na makondakta na kuwapakia abiria kupita kiasi ni kilele cha upuui wa sheria zilizowekwa.
Wasafiri pia wanapuuza masharti yaliyowekwa kwa lengo la kuwafaa, ―alisema waziri. Alisikitika kuwa wasafiri wengi hawafungi mishipi ya usalama hata inapopatikana, aidha wanakubali kuingia magari yaliyojaa tayari, hali inayoongenzea uwezekano wa gari kupata ajali kwa kulemewa na uzito. Aliwakumbusha kuwa gali likipata ajali wakiwa wamepakiwa hivi, hawezi kugharamiwa na bima ya gari kwa vile bima yenyewe hukatiwa idadi mahususi ya wasafiri. Aliwalaumu watembeaji barabarani kwa kutozingatia sheria za kawaida. Alisema kwa mfano katika gurufu kuna mahali ambako kuna vivuko ila hawavitumii na wengine huishia kugongwa na magari.Mwisho aliwalaumu maafisa wa trafiki wanaotekeleza majukumu yao. Akitisha kuwachukulia hatua kali, alisema kuwa yaskitisha kusikia kuwa wanachukua kadhongo na kuyaachilia magari yaliyo na kasoro badala ya kuyashtaki kulingana na sheria. Aliwaongezea lawama wasafiri kwa kunyamaza wanapoyaona haya yakitendeka machoni. Alisababisha kicheko aliposema kuwa baadhi ya wasafiri huwahimiza makondakta watoe chai haraka ili waendelee na usafiri ya bila kujali hatari wanazojiingiza kwazo.
Akionya kuwa angechukua hatua ya kuregesha utulivu, alihitimisha kwa kusema kuwa wizara yake limetoa ilani kwa watumiaji wote wa barabarani. Alitoa makataa ya siku kumi na nne ambapo yoyote asiyefuata kaida zote za barabarani atachukuliwa hatua kisheria.
a) Fafanua sababu za mwito wa waziri wa uchukuzi Bwana Msafiri?
b) Eleza jinsi wenye magaari wamechangia katika kukithiri kwa visa vya ajali barabarani?
c) Fafanua mchango wa wasafiri katika kudorora kwa hali ya usalama barabarani.
d) Eleza majukumu ya maafisa wa trafiki katika kudumisha usafiri kulingana na ufahamu.
e) Toa visawe vya maneno yafuatayo.
(i) Kondakta:
(ii) Toa ilani:
(iii) Toa makataa:
Date posted: September 24, 2019.
- Triangle ABC is such that A(-5, 1), B(-1, 1) and C(-3, 4). Triangle A'B'C'.is the image of ?ABC under transformation
a)Determine the co-ordinates of ?A'B'C'.
b)On...(Solved)
Triangle ABC is such that A(-5, 1), B(-1, 1) and C(-3, 4). Triangle A′B′C′.is the image of ∆ABC under transformation 
a)Determine the co-ordinates of ∆A′B′C′.
b)On the grid provided draw ∆ABC and ∆A′B′C′.
c)Describe the transformation T fully.
d)∆A′′B′′C′′ is a reflection of the ∆A′B′C′ on the line y = -x. Construct∆A′′B′′C′′.
e)Determine a single matrix that maps ∆A′′B′′C′′ onto ∆ABC.
Date posted: September 24, 2019.
- Ainisha mofimu katika neno:
Walichimba(Solved)
Ainisha mofimu katika neno:
Walichimba
Date posted: September 24, 2019.
- The figure shows a right pyramid mounted onto a rectangular block. The length AB=8cm, BC = 6cm, CH = 3cm and VC = 15cm
Given that...(Solved)
The figure shows a right pyramid mounted onto a rectangular block. The length AB=8cm, BC = 6cm, CH = 3cm and VC = 15cm
Given that M is the centre of the plane ABCD and P is a point on MV such that MP =1/5 MV, Calculate:-
(a)The length of EG.
(b)The height MV of the pyramidal section to 2 decimal places.
(c)The angle between the plane BPC and the pyramidal base ABCD.
(d)The angle between the line GV and the plane EFGH.
(e)The volume of the solid to four significant figures.
Date posted: September 24, 2019.