KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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The average rate of depreciation in value of a laptop is 10% per annum. After three complete years its valuewas ksh 35,000. Determine its value at the start of the three-year period.(3marks)
A cylinder of radius 15 cm and height 24 cm is filled with water. A solid hemisphere of radius 7cm is submerged into the cylinder and removed. Find the change in height of water level in the cylinder. (4 marks)
A wall clock that gains 20 seconds after every hour was set to read the correct time on Tuesday at 03 25. Determine the time the wall clock will read on Thursday 03 25 h. (3 marks)
A dealer sells a mobile phone at a profit of 25%. The customer sells it to a friend at ksh 60,000, making a profit of 20 %. Find the cost prize of the mobile phone. (3 marks)
The velocity V m/s of a particle in motion is given by V=3t2-2t+5.Calculate the distance travelled by the particle between t= 2 seconds and t = 6 seconds. (3 marks)
Without using a calculator, solve for x in the equation 〖0.5〗^x×〖0.125〗^(1-x)=3211/12/2022
Without using a calculator, solve for x in the equation
\[\LARGE 0.5^{X}\times 0.125^{1-X}=32\]
The mass of maize flour to the nearest 10 grams is 8. 67kg. Determine the percentage error in this measurement. (3marks)
(a) A small field was surveyed and the measurements recorded in a surveyor’s field book as in the table below. (i) Using a scale of 1cm to 10m make an accurate drawing of the map of the field. (4mks)(ii) Find the area of the field. (3mks)(iii) Assuming that the baseline in (a) runs in a northern direction give the position of D relative to A using bearing and distance. (3mks)
Four points B, C, Q and D lie on the same plane. Point B is 42km due southwest point Q. Point C is 50 km on a bearing of S60oE from Q. Point D is equidistant from B, Q and C.(a) Using the scale: 1cm represents 10km, construct a diagram showing the positions of B, C, Q and D. (5mks)(b) Determine the
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