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Eleza matumizi ya hali za "ka" na "hu" katika sentensi zifuatazo:
(i) Balozi huja hapa kila mara.
(ii) Mpishi alipika, akapakuwa na akagawa chakula.
Date posted:
May 7, 2019
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Eleza maana mbili zinazojitokeza katika sentensi: Tuiiitwa na baba.
Mtendaji ni baba
Date posted:
May 7, 2019
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Eleza matumizi mawili ya kiambishi -ji-.
Date posted:
May 7, 2019
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Tunga sentensi hii upya kwa kutumia visawe vya maneno yaliopigwa
mstari. Kiambaza kilimuumiza ghulamu alipokuwa akipanda.
Date posted:
May 7, 2019
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Tumia kitenzi "Fa" katika sentensi kuonyesha mazoea.
Date posted:
May 7, 2019
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Ainisha vihusishi katika sentensi ifuatayo:
Babu alifika mapema kuliko wote halafu akaondoka.
Date posted:
May 7, 2019
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Tumia kitenzi "tafakaru" kama nomino katika sentensi.
Date posted:
May 7, 2019
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a) Using a ruler and pair of compasses only construct a square ABCD of sides 6cm.
b) A point P moves inside the square such that;
i) 𝐴𝑃 ≤ 𝑃𝐵
ii) 𝐴𝑛𝑔𝑙𝑒 𝐴𝑃𝐵 ≥ 900
iii) P is nearer to AD than AB. construction on the square in (a) show the region that P must lie by shading.
c) Find the area of the region where P must lie.
Date posted:
May 7, 2019
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Mr. Korir borrowed Kshs 3,600,000 from the bank to buy a residential house. He was required to repay the loan with a
simple interest for a period of four years. The repayment amounted to kshs 111 000 per month. Calculate
a) i) the interest paid to the bank.
ii) the rate per annum of the simple interest.
b) The value of the house appreciated at the rate of 15% per annum. Calculate the value of the house after 4 years to the nearest hundreds.
c) After n years, the value of the house was Kshs 8,327,019. Find the value of n.
Date posted:
May 7, 2019
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In the figure below AB and Bc are chords of a circle centre O. AB=6cm, BC=16cm and OC=10cm
Calculate angle ABC correct to three significant figures.
Date posted:
May 7, 2019
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The intersecting circles centres S and R have radii 28 and 35 respectively. A common chord AB=38cm.
a) Calculate
i) Angle ASB
ii) Angle ARB
b) Calculate the area of the shaded region.
Date posted:
May 7, 2019
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Define Perplexed conscience.
Date posted:
May 7, 2019
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Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?
Date posted:
May 7, 2019
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Two similar containers have masses 256kgs and 128kgs respectively. If the surface of the smaller container has
an area of 810 cm2. What is the area of the corresponding surface of the large container.
Date posted:
May 7, 2019
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Damu Nyeusi
Jadili maudhui ya elimu kwa mujibu wa "Kanda la Usufi", "Shaka ya Mambo"
na "Tazama na Mauti"
Date posted:
May 7, 2019
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Given that 𝑙𝑜𝑔7 = 0.8451 𝑎𝑛𝑑 𝑙𝑜𝑔6 = 0.7782. 𝑓𝑖𝑛𝑑 𝑙𝑜𝑔25.2
Date posted:
May 7, 2019
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The equation of a line is -3/5x + 3y = 6 Find
a) The gradient of the line
b) The equation of a line passing through the point (1,2) and is perpendicular to the given line
Date posted:
May 7, 2019
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A triangle has vertices A (1,2), B (7,2) and C (5,4)
a) Draw ABC on the Cartesian plane.
b) Construct the image triangle 𝐴1𝐵1𝐶1 of triangle ABC under negative quarter turn about the origin.
c) Draw triangle 𝐴11𝐵11𝐶11 the image of triangle 𝐴1𝐵1𝐶1 under reflection in the line y=x. State the coordinates
of 𝐴11𝐵11𝐶11.
d) Find a single matrix of transformation which maps triangle ABC on to triangle𝐴11𝐵11𝐶11
e) Describe a single transformation that maps triangle 𝐴11𝐵11𝐶11 on triangle ABC.
Date posted:
May 7, 2019
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The probability that three dart players Akinyi, kamau and Juma hit bull’s eye are 0.2, 0.3 and 0.15 respectively.
a) If each plays once show the possible outcomes on a tree diagram.
b) Calculate the probability that
i)All hit the bulls eye
ii)Only one hit the bulls eye
iii)Almost one misses the bulls eye.
Date posted:
May 7, 2019
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a) Using mid-ordinate rule, estimate the area under the curve y =1/2x2 - 2. Using six strips between x=2 and x=8
and x-axis.
b) Using intergration to determine the exact area under the curve.
c) Find the percentage error in calculating the area using the mid-ordinate rule.
Date posted:
May 7, 2019
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The table shows income tax rates.
A company employee earn a monthly basic salary of Ksh. 30,000 and is also given taxable allowances amounting to
Ksh. 10480.
a) Calculate the total income tax.
b) The employee is entitled to a personal tax relief of Ksh. 800 per month. Determine the net tax.
c) If the employee received a 50% increase in his total income. Calculate the corresponding percentage increase on the
income tax.
Date posted:
May 7, 2019
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Girraffes
Beyond the brassy sun-stare where each shade
Crouches beneath its substance at mid-noon,
The tall giraffes are gathered in a glade
Grazing the green fruit of the midday moon.
Patched with sienna shadows of the jungle,
In pencil-slender attitudes they stand;
Grotesque in camouflage, each curve and angle
Is merged into the backcloth of the land.
These circus creatures of a poet's dreaming
Whose destiny on silent strings is spun,
Are patterned in designs of nature's scheming
To move through dappled woods and dun.
Strange genesis in which the substance seeming
The shadow, is the street of the sun!
By Phoebe Hesketh
(Adapted from: Modern Poems for Common-wealth, by Maurice Wollman & John
Spencer. London: George G Harrap, 1966)
(i) Describe the rhyme scheme of this poem and explain its function.
(ii) Identify two instances of alliteration in this poem.
(iii) How would you say the last line of the poem?
Date posted:
May 7, 2019
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A quantity y varies partly as x2 and partly as x. When y=6, x=1 and when y=30, x=3.Find y when x=3.
Date posted:
May 7, 2019
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Solve 4 - 4 Cos2 x = 4 sin ?? - 1 for 00 <_ x <_ 3600
Date posted:
May 7, 2019
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A cold water tap can fill a bath in 10 minutes while a hot water tap can fill it in 8 minutes. The drainage pipe can empty
the bath in 5 minutes. The cold water and hot water taps are opened for 4 minutes all the 3 taps are opened. Find how
long it will take to fill the bath.
Date posted:
May 7, 2019
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Object A of area 10 cm2 is mapped on to its image B of area 60 cm2 by transformation whose matrix is given below.Find the positive values of x
Date posted:
May 7, 2019
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When 1.15g of R were reacted with water, 600cm3 of gas was produced.
Determine the relative atomic mass of R. (Molar gas volume = 24 000 cm3).
Date posted:
May 7, 2019
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Draw the locus of the points that satisfy inequalities (y - 3)2 + (x - 2)2 <_ 9 and x + y >_ 6
Date posted:
May 7, 2019
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60 cm3 of oxygen gas diffused through a porous partition in 50
seconds. How long would it take 60cm3 of sulphur (IV) oxide gas to diffuse
through the same partition under the same conditions? (S = 32.0, 0 = 16.0)
Date posted:
May 7, 2019
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The figure below shows a tumbler with diameters 6cm and 10cm and height 15cm.
(a) If it is filled with water, what area is in contact with water?
(b) Find the volume of the tumbler.
Date posted:
May 7, 2019