KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
0 Comments
Form 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. Form 4 MathematicsForm 3 Mathematics
The first, fifth and seventh terms of an Arithmetic Progression (AP) correspond to the first three consecutive terms of a decreasing Geometric Progression (G.P).
The first term of each progression is 64, the common difference of the AP is d and the common ratio of the G.P is r. (a) (i) Write two equations involving d and r. (ii) Find the values of d and r. (b) Find the sum of the first 10 terms of: (i) The Arithmetic Progression (A.P); (ii) The Geometric Progression (G.P). Form 1 Mathematics
The cash price of a laptop was Ksh 60 000. On hire purchase terms, a deposit of Ksh 7 500 was paid followed by 11 monthly installments of Ksh 6 000 each.
(a) Calculate: (i) the cost of a laptop on hire purchase terms; (ii) the percentage increase of hire purchase price compared to the cash price. (b) An institution was offered a 5% discount when purchasing 25 such laptops on cash terms. Calculate the amount of money paid by the institution. (c) Two other institutions, X and Y, bought 25 such laptops each. Institutions X bought the laptops on hire purchase terms. Institution Y bought the laptops on cash terms with no discount by securing a loan from a bank. The bank charged 12% p.a. compound interest for two years. Calculate how much more money institution Y paid than institution X. Form 4 MathematicsForm 3 Mathematics
The equation of a circle centre (a, b) is x2 – y2 – 6x - 10y + 30 = 0. Find the values of a and b.
Form 4 Mathematics
A point M (60°N, 18°E) is on the surface of the earth. Another point N is situated at a distance of 630 nautical miles east of M.
Find: (a) the longitude difference between M and N; (b) The position of N. Form 2 Mathematics
Vector OP= 6i - j and OQ = -2i - 5j. A point N divides PQ internally in the ratio 3:1.
Find PN in terms of i and j. Form 4 MathematicsForm 1 Mathematics |
Categories
All
Archives
December 2024
Latest Posts |
Primary Resources
College Resources
|
Secondary Resources
|
Contact Us
Manyam Franchise
P.O Box 1189 - 40200 Kisii Tel: 0728 450 424 Tel: 0738 619 279 E-mail - sales@manyamfranchise.com |