KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 2 Mathematics
On the grid below, an object T and its image T’ are drawn
a) Find the equation of the mirror lien that maps T onto Tʹ.
b i)Tʹ is mapped onto Tʺ by positive quarter turn about (0,0). Draw Tʺ ii) Describe a single transformation that maps T onto Tʺ c) Tʺ is mapped onto Tʺʹ by an enlargement, centre (2,0), scale factor 2 . Draw Tʺʹ d) Given that he area of Tʺʹ is 12cm2, calculate the area of Tʺʹ .
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Form 2 Mathematics
(a) A straight line L, whose equation is 3y — 2x = —2 meets the xaxis at R.
Determine the coordinates of R. b) A second line L2 is perpendicular to L1 at R. Find the equation of L2 in the form y = mx + c, where m and c are constants. (c) A third line L3 passes through (—4,1) and is parallel to L2 Find: (i) the equation of L3 in the form y = mx + c, where m and c are constants (ii) the coordinates of point S, at which L intersects L Form 2 MathematicsForm 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 4 Mathematics
Two shopkeepers, Juma and Wanjiku bought some items from a wholesaler. Juma bought 18 loaves of bread, 40 packets of milk and 5 bars of soap while Wanjiku bought 15 loaves of bread, 30 packets of milk and 6 bars of soap. The prices of a loaf of bread, a packet of milk and a bar of soap were Ksh 45, Ksh 50 and Ksh 150 respectively.
(a) Represent: (i) the number of items bought by Juma and Wanjiku using a 2 x 3 matrix. (ii) the prices of the items bought using a 3 x 1 matrix. (b) Use the matrices in (a) above to determine the total expenditure incurred by each person and hence the difference in their expenditure. c) Juma and wanjiku also bought rice and sugar. Juma bought 36 kgs of rice and 23 kgs of sugar and paid Ksh 8160. Wanjiku bought 50 kg of rice and 32 kg of sugar and paid kshs 11340. Use the matrix method to determine the price of one kilogram of rice and one kilogram of sugar 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 subdivided 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 2 Mathematics
Musa cycled from his home to a school 6km away in 20 minutes. He stopped at the school for 5 minutes before taking a motorbike to a town 40km away.
The motorbike travelled at 75km/h. On the grid provided, draw a distancetime graph to represent Musa's journey. 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 4 MathematicsForm 2 MathematicsForm 2 Mathematics
The sum of interior angles of a regular polygon is 24 times the size of the exterior angle.
(a) Find the number of sides of the polygon. (b) Name the polygon 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 2 Mathematics
A piece of wire is bent into the shape of an isosceles triangle. The base angles are each 48° and the perpendicular height to the base is 6 cm. Calculate,
correct to one decimal place, the length of the wire. Form 2 Mathematics
The volume of a cube is 1728 cm^{3}. Calculate, correct to 2 decimal places, the length of the diagonal of a face of the cube.
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
(a) Evaluate 540396726450÷3.
(b) Write the total value of the digit in the thousands place of the results obtained in (a) above. 
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