KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 4 Mathematics
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Form 1 Mathematics
When Ksh 40 000 was invested in a certain bank for 5 years it earned a simple interest of Ksh 3 800.
Find the amount that must have been invested in the same bank at the same rate for 7 - years to earn a simple interest of Ksh 3 420. Form 1 Mathematics
Five people can build 3 huts in 21 days. Find the number of people, working at the same rate that will build 6 similar huts in 15 days.
Form 1 Mathematics
The length of a flower garden is 2 m less than twice its width. The area of the garden is 60 m2.
Calculate its length. Form 1 Mathematics
A tea dealer mixes two brands of tea, x and y, to obtain 35 kg of the mixture worth Ksh 62 per kg. 1f brand x is valued at Ksh 68 per kg and brandy at Ksh 53 per kg, calculate the ratio, in its simplest form, in which the brands x and y are mixed.
Form 3 MathematicsForm 3 Mathematics
The length and width of a rectangle measured to the nearest millimeter are 7.5 cm and 5.2 cm respectively.
Find, to four significant figures, the percentage error in the area of the rectangle. Form 2 MathematicsForm 3 MathematicsForm 2 Mathematics
A cylindrical solid whose radius and height are equal has a surface area of 154 cm2. Calculate its diameter, correct to 2 decimal places. (Take π = 3.142)
Form 3 Mathematics
Given that 3θ is an acute angle and sin 3θ = Cos 2θ°, find the value of θ.
Form 1 Mathematics
A fruit vendor bought 1948 oranges on a Thursday and sold 750 of them on the same day.On Friday, he sold 240 more oranges than on Thursday. On Saturday he bought 560 more oranges. Later that day, he sold all the oranges he had at a price of Ksh 8 each.
Calculate the amount of money the vendor obtained from the sales of Saturday. Form 1 Mathematics
Using a ruler and a pair of compasses only, construct a rhombus QRST in which angle TQR = 600 and QS = 10 cm.
Form 1 MathematicsForm 3 MathematicsForm 1 Mathematics
A Kenyan company received US Dollars 100 000. The money was converted into Kenya shillings in a bank which buys and sells foreign currencies as follows:
Buying Selling (in Kenya shillings) (in Kenya shillings) 1 US Dollar 77.24 77.44 1 Sterling Pound 121.93 122.27 (a) calculate the amount of money, in Kenya shillings, the company received. (b) The company exchanged the Kenya shillings calculated in (a) above, into sterling pounds to buy a car from Britain. Calculate the cost of the car to the nearest sterling pound. Form 1 Mathematics
The sum of three consecutive odd integers is greater than 219. Determine the first three such integers.
Form 4 Mathematics
The equation of a circle is given by x2 + 4x +y2 – 5 = 0. Find the radius and the center of the circle.
Form 1 Mathematics
Atieno and Kamau started a business by contributing sh. 25, 000 and sh. 20, 000 Respectively.
At the end of the year, they realized a profit of shs. 81, 000. The profit was allocated to development, dividends and reserves in the ratio 4:5:6 respectively. The dividends were the shared in the ratio of their contribution. Calculate the dividends paid to Atieno. Form 3 Mathematics
The coordinates of points O,P,Q and R are (0,0)(3,4) (11,6) and (8,2) respectively. A point T is such that vectors OT,QP and QR satisfy the vector equation. OT = QP + ½ QR .Find the coordinates of T.
Form 2 Mathematics
A triangular flower garden has an area of 28m2. Two of its edges are 14 metres and 8 metres. Find the angle between the two edges.
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