KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 1 Mathematics
Eleven people can complete 3/5 of a certain job in 24 hours. Determine the time in hours, correct to 2 decimal places, that 7 people working at the same rate can
take to complete the remaining job.
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Form 1 Mathematics
Line AB drawn below is a side of a triangle ABC.
(a) Using a pair of compasses and ruler only construct: (i) triangle ABC in which BC = 10cm and angle CAB = 90°; (ii) a rhombus BCDE such that angle CBE = 120°; (iii) a perpendicular from F, the point of intersection of the diagonals of the rhombus, to meet BE at G. Measure FG; (iv) a circle to touch all the sides of the rhombus. b) Determine the area of the region in the rhombus that lies outside the circle Form 1 Mathematics
Three partners Amina, Bosire and Karuri contributed a total of Ksh 4 800 000 in the ratio 4:5:7 to buy an 8 hectares piece of land. The partners set aside 1/4 of the land for social amenities and sub-divided the rest into 15 m by 25 m plots.
(a) Find: (i) the amount of money contributed by Karuri; (ii) the number of plots that were obtained. (b) The partners sold the plots at Ksh 50 000 each and spent 30% of the profit realised to pay for administrative costs. They shared the rest of the profit in the ratio of their contributions. (i) Calculate the net profit realised. (ii) Find the difference in the amount of the profit earned by Amina and Bosire. Form 1 Mathematics
A tailor had a piece of cloth in the shape of a trapezium. The perpendicular distance between the two parallel edges was 30cm. The lengths of the two parallel edges were 36 cm and 60cm. The tailor cut off a semi circular piece of the cloth of radius 14cm from the 60cm edge.
Calculate the area of the remaining piece of cloth. (Take π = 22/7) Form 1 Mathematics
The cost of 2 jackets and 3 shirts was Ksh 1800. After the cost of a jacket and that of a shirt were increased by 20%, the cost of 6 jackets and 2 shirts was
Ksh 4 800. Calculate the new cost of a jacket and that of a shirt. Form 1 Mathematics
A salesman is paid a salary of Ksh 15, 375 per month. He also gets a commission of 4 1/2 % on the amount of money he makes from his sales. In a certain month, he
earned a total of Ksh 28 875. Calculate the value of his sales that month. Form 1 MathematicsForm 1 Mathematics
Omolo bought a new car for Ksh. 800,000. After 5 years, he sold it through a second- hand car dealer. The dealer charged a commission of 4% for the sale of the car. If Omolo received Ksh.480, 000, calculate the annual rate of depreciation of the car.
Form 1 Mathematics
Muya had a 6 2/3 ha piece of land. He donated 7/8 ha to a school and 1 1/2 ha to a children's home. The rest of the land was shared equally between his son
and daughter. Find the size of land that each child got. Form 1 Mathematics
The size of an interior angle of a regular polygon is 1560.Find the number of sides of the polygon.
Form 1 MathematicsForm 1 Mathematics
(a) Evaluate 540396-726450÷3.
(b) Write the total value of the digit in the thousands place of the results obtained in (a) above. Form 1 Mathematics
A paint dealer mixes three types of paint A, B and C, in the ratios A:B = 3:4 and B:C = 1:2. The mixture is to contain 168 litres of C.
(a) Find the ratio A:B:C. (b) Find the required number of litres of B. (c) The cost per litre of type A is Ksh 160, type B is Ksh 205 and type C is Ksh 100. i. Calculate the cost per litre of the mixture. ii. Find the percentage profit if the selling price of the mixture is Ksh182 per litre. iii. Find the selling price of a litre of the mixture if the dealer makes a 25% profit. Form 1 MathematicsForm 1 Mathematics
The figure below represents a piece of land in the shape of a quadrilateral in which AB =240M, BC = 70m CD = 200m ˂BCD = 1500 ˂ABC = 900
Calculate
(a) The size of ˂BAC correct to 2decimal places (b) The length AD correct to one decimal place (c) The area of the piece of land, in hectares, correct to 2 decimal places Form 1 Mathematics
Using a pair of compasses and a ruler only, construct
(a) (i) Triangle ABC in which AB =5cm, ˂BAC = 300 and ˂ABC = 1050 (ii) A circle that passes through the vertices of the triangle ABC. Measure the radius (iii) The height of triangle ABC WITH AB as the base. Measure the height (b) Determine the area of the circle that lies outside the triangle correct to 2decimal places Form 1 Mathematics
Twenty five machines working at a rate of 9 hours per day can complete job in 16 days. A contractor intends to finish the job in 10days using similar machines
working at a rate of 12 hours per day. Find the number of machines the contractor requires to complete the job. Form 1 Mathematics
A cow is 4 years 8 months older than a heifer. The product of their ages is 8 years. Determine the age of the cow and that of the heifer.
Form 1 Mathematics
The sum of interior angles of a regular polygon is 18000. Find the size of each exterior angle
Form 1 Mathematics
A plane leaves an airstrip L and flies on a bearing of 0400 to airstrip M, 500km away. The plane then leaves on a bearing of 3160 to airstrip N. The bearing ofN from L is 3500. By scale drawing, determine the distance between airstrips M and N.
Form 1 Mathematics |
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