KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
A point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 300 and the angle of elevation of the top of the window is 350. Calculate the vertical distance.(a) From A to the bottom of the window
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A salesman gets a commission of 2.4% on sales up to Kshs 100.00. He gets an additional commission of 1.5% on sales above this. Calculate the commission he gets on sales worth Kshs 280.000In the figure below, AB is parallel to DE, DE bisects angle BDG, angle DCF = 600 and angle CFG = 1100Find The mass of 6 similar art books and 4 similar biology books is 7.2 kg. The mass of 2 such art books and 3 such biology books is 3.4 kg. Find the mass of one art book and mass of one biology book.(b) Work out the exact value of R
\[\frac{1}{0.003146 - 0.003130}\]
Akinyi bough three cups and four Spoons for Kshs. 324. Wanjiku bought five cups and Fatuma bought two spoons of the same type as those bought by Akinyi. Wanjiku paid Kshs 228 more than Fatuma. Find the price of each cup and spoon.Two towns P and Q are 400 km apart. A bus left P for Q. It stopped at Q for one hour and then started the return journey to P. One hour after the departure of the bus from P, a trailer also heading for Q left P. The trailer met the returning bus ¾ of the way from P to Q. They met t hours after the departure of the bus from P.
A businesswoman bought two bags of maize at the same price per bag. She discovered that one bag was of high quality and the other of low quality. On the high quality bag she made a profit by selling at Kshs 1,040. Whereas on the low quality bag she made a loss by selling at Kshs 880. If the profit was three times the loss, calculate the buying price per bag.The curve y = ax3 — 3x2 — 2x + 1 has the gradient 7 when x=l. Find the value of aGiven that\[A = \begin{bmatrix} 1 & 3\\ 5& 3 \end{bmatrix}, B = \begin{bmatrix} 3 & 1\\ 5 & -1 \end{bmatrix}, C = \begin{bmatrix} p & 0\\ 0 & q \end{bmatrix}\]
and AB = BC determine the value of P
The following enrollment figures for twenty primary schools were collected.934 923 936 924 933 933 937 926 923 934 931 929 934 927 932 934 927 940
A company saleslady sold worth Kshs 42, 000 from this sale she earned a commission of Kshs 4,000.
A cylinder of radius 14 cm contains water. A metal solid cone of base radius 7 cm and height 18 cm is submerged into the water. Find the change in height of the water level in the cylinder.There are two signposts A and B on the edge of the road. A is 400 m to the west of b. A tree is on a bearing of 0600 from A and a bearing of 3300 from B.
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