KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 1 Mathematics
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Form 3 Mathematics
The average rate of depreciation in value of a water pump is 9% per annum. After three complete years its like value was sh 150,700. Find its value at the start of the three – year period.
Form 2 Mathematics
Solve the following inequalities and represent the solutions on a single number line:
3 – 2x < 5 4 – 3x ≥ -8 Form 1 Mathematics
A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland he bought a watch worth 52 Deutsche Marks. Find the value of the watch in:
(a) Swiss Francs. (b) Kenya Shillings Use the exchange rates below: 1 Swiss Franc = 1.28 Deutsche Marks. 1 Swiss Franc = 45.21 Kenya Shillings Form 3 Mathematics
The position vectors of points X and Y are
x = 2i + j – 3k and y = 3i + 2j -2k respectively. Find xy; Form 3 Mathematics
Find the radius and the coordinate of the centre of the circle whose equation is 2x2 + 2y2 – 3x + 2y + ½ = 0
Form 3 MathematicsForm 4 Mathematics
Two places A and B are on the same circle of latitude north of the equator. The longitude of A is 1180W and the longitude of B is 1330E. The shorter distance between A and B measured along the circle of latitude is 5422 nautical miles.Find, to the nearest degree, the latitude on which A and B lie
Form 2 Mathematics
Vector q has a magnitude of 7 and is parallel to vector p. Given that
p= 3 i –j + 1 ½ k, express vector q in terms of I, j, and k. Form 3 MathematicsForm 1 Mathematics
A carpenter wishes to make a ladder with 15 cross- pieces. The cross- pieces are to diminish uniformly in length from 67 cm at the bottom to 32 cm at the top.
Calculate the length in cm, of the seventh cross- piece from the bottom Form 2 Mathematics
Water and milk are mixed such that the ratio of the volume of water to that of milk is 4: 1. Taking the density of water as 1 g/cm3 and that of milk as 1.2g/cm3, find the mass in grams of 2.5 litres of the mixture.
Form 3 Mathematics
A rectangular block has a square base whose side is exactly 8 cm. Its height measured to the nearest millimeter is 3.1 cm
Find in cubic centimeters, the greatest possible error in calculating its volume. Form 2 Mathematics
Find the equation of a straight line which is equidistant from the points ( 2,3) and ( 6, 1), expressing it in the form ax + by = c where a, b and c are constants
Form 1 Mathematics
The cash price of a T.V set is Kshs 13, 800. A customer opts to buy the set on Hire purchase terms by paying a deposit of Kshs 2, 280
If simple interest of 20% p.a is charged on the balance and the customer is required to repay by 24 equal monthly installments, calculate the amount of each installment. Related Questions and Answers on Commercial Arithmetic IForm 4 Mathematics
A particle moves in a straight line through a point P. Its velocity v m/s is given by v= 2 -1, where t is time in seconds, after passing P. The distance s of the particle from P when t = 2 is 5 metres. Find the expression for s in terms of t.
Form 3 Mathematics
A rally car traveled for 2 hours 40 minutes at an average speed of 120 km/h. The car consumes an average of 1 litre of fuel for every 4 kilometers.
A litre of the fuel costs Kshs 59 Calculate the amount of money spent on fuel Form 1 Mathematics
Points L and M are equidistant from another point K. The bearing of L from K is 3300.
The bearing of M from K is 2200.Calculate the bearing of M from L Form 3 Mathematics |
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