KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Form 3 Mathematics
Given that tan x° = 3/7 find cos (90 - x)° giving the answer to 4 significant figures.
Form 2 Mathematics
Given that OA = 2i + 3j and OB = 3i - 2j
Find the magnitude of AB to one decimal place. Form 1 Mathematics
Using a pair of compasses and ruler only, construct a quadrilateral ABCD in which AB = 4cm, BC = 6 cm, AD = 3 cm, angle ABC = 135° and angle
DAB = 60°. Measure the size of angle BCD. Form 1 Mathematics
Koech left home to a shopping centre 12 km away, running at 8 km/h. Fifteen minutes later, Mutua left the same home and cycled to the shopping centre at 20 km/h. Calculate the distance to the shopping centre at which Mutua caught
up with Koech. Form 1 Mathematics
Three bells ring at intervals of 9 minutes, 15 minutes and 21 minutes. The bells will next ring together at 11.00 pm. Find the time the bells had last rang together.
Form 4 Mathematics
The displacement s metre of a particle moving along straight line after t seconds is given by. S = 3t + 3/2 t2 – 2t3
Form 4 MathematicsForm 1 MathematicsForm 2 MathematicsForm 4 Mathematics
A building contractor has two lorries, P and Q, used to transport at least 42 tonnes of sand to a building site. Lorry P carries 4 tonnes of sand per trip while lorry Q
carries 6 tonnes of sand per trip. Lorry P uses 2 litres of fuel per trip while lorry Q uses 4 litres of fuel per trip. The two lorries are to use less than 32 litres of fuel. The number of trips made by lorry P should be less than 3 times the number of trips made by lorry Q. Lorry P should make more than 4 trips. (a) Taking x to represent the number of trips made by lorry P and y to represent the number of trips made by lorry Q, write the inequalities that represent the above information. (b) On the grid provided, draw the inequalities and shade the unwanted regions. (c) Use the graph drawn in (b) above to determine the number of trips made by lorry P and by lorry Q to deliver the greatest amount of sand. Form 3 Mathematics
The cost C, of producing n items varies partly as n and partly as the inverse of n. To produce two items it costs Ksh 135 and to produce three items it costs Ksh 140. Find:
(a) the constants of proportionality and hence write the equation connecting C and n; (b) the cost of producing 10 items; (c) the number of items produced at a cost of Ksh 756. Form 4 MathematicsForm 3 Mathematics
The table below shows values of x and some values of y for the curve y = x3 + 2x2 - 3x – 4 f o r - 3 ≤ x ≤ 2.
(a) Complete the table by filling in the missing values of y, correct to 1 decimal place.
(b) On the grid provided, draw the graph of y = x3+ 2x2 - 3x - 4. Use the scale: 1 cm represents 0.5 units on x -axis. 1 cm represents 1 unit on y-axis. (c) Use the graph to: (i) solve the equation x3 + 2x2 - 3x - 4 = 0; (ii) estimate the coordinates of the turning points of the curve. Form 4 Mathematics
The table below shows the values of x and corresponding values of y for a given curve.
a) Use the trapezium rule with seven ordinates and the values in the table only to estimate the area enclosed by the curve, x – axis and the line x = П/2 to four decimal places. (Take П = 3.142) b) The exact value of the area enclosed by the curve is known to be 0.8940.Find the percentage error made when the trapezium rule is used. Give the answer correct to two decimal places. Form 1 Mathematics
Four points B,C,Q and D lie on the same plane. Point B is 42km due South – West of point Q. Point C is 50km on a bearing of S 600 E from Q.
Point D is equidistant B, Q and C.
Form 3 MathematicsForm 1 Mathematics
A bus travels from Nairobi to Kakamega and back. The average speed from Nairobi to Kakamega is 80km/hr while that from Kakamega to Nairobi is 50km/hr, the fuel consumption is 0.35 litres per kilometer and at 80km/h, the consumption is 0.3 litres per kilometer .Find
Related Questions and Answers on Speed and RatesForm 1 MathematicsForm 3 Mathematics
Each month, for 40 months, Amina deposited some money in a saving scheme. In the first month she deposited sh 500. Thereafter she increased her deposits by sh.50 every month.
Calculate the:
Form 3 Mathematics
A parent has two children whose age difference is 5 years. Twice the sum of the ages of the two children is equal to the age of the parent.
(a) Taking x to be the age of the elder child, write an expression for: (i) the age of the younger child; (ii) the age of the parent. (b) In twenty years time, the product of the children's ages will be 15 times the age of their parent. (i) Form an equation in x and hence determine the present possible ages of the elder child. (ii) Find the present possible ages of the parent. (iii) Determine the possible ages of the younger child in 20 years time. |
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