KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 4 MathematicsThe displacement x metres a particle after seconds given by:
x = t3- 2t2 + 6t > 0.
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Form 4 Mathematics
a) Complete the table given below in the blank spaces.
Give your answer to the nearest degree.
Form 2 MathematicsAn electric pylon is 30m high. A point S on top of the pylon is vertically above another point on the ground . Points A and B are on the same horizontal ground as R. Point A is due south of the pylon and the angle of elevation of S from A is 260. Point B is due west of the pylon and the angle of elevation of S from B is 320.
Form 3 Mathematics
The nth term of a sequence is given by 2n+3
Sn = n2 +4n Form 2 MathematicsThe marks obtained by 10 pupils in an English test were 15,14,13,12,P,16,11,13,12 and 17.The sum of the squares of the marks, ∑x = 21,794
Form 1 MathematicsA helicopter is stationed at an airport H on a bearing 060o and 800km from another airport P.A third airport is J is on bearing of 1400 and 1,200km from H. Determine:
Form 3 Mathematics
A bus left Mombasa and traveled towards Nairobi at an average speed of 60km/hr. after 21/2 hours; a car left Mombasa and traveled along the same road at an average speed of 100km/ hr. If the distance between Mombasa and Nairobi is 500km, Determine
(a) (i) The distance of the bus from Nairobi when the car took off (ii) The distance the car traveled to catch up with the bus (b) Immediately the car caught up with the bus, the car stopped for 25 minutes. Find the new average speed at which the car traveled in order to reach Nairobi at the same time as the bus. Form 2 Mathematics
The diagram below ( not drawn to scale) represents the cross- section of a solid prism of height 8.0 cm
(a) Calculate the volume of the prism
(b) Given that the density of the prism is 5.75g/cm3, calculate its mass in grams (c) A second prism is similar to first one but is made of a different materials. The volume of the second is 246.24cm3 (i) calculate the area of the cross section of the second prism (ii) Given that the ratio of the mass of the first to that of the second is 2: 5 and the density of the second prism Form 2 Mathematics
On the Cartesian plane below, triangle PQR has vertices P(2, 3), Q ( 1,2) and R ( 4,1) while triangles P" Q" R" has vertices P" (-2, 3), Q" ( -1,2) and R" ( -4, 1)
(a) Describe fully a single transformation which maps triangle PQR onto triangle P"Q"R"
(b) On the same plane, draw triangle P"Q"R", the image of triangle PQR, under reflection in line y = -x (c) Describe fully a single transformation which maps triangle P"Q"R" onto triangle P"Q"R (d) Draw triangle P"Q"R" such that it can be mapped onto triangle PQR by a positive quarter turn about ( 0,0) (e) State all pairs of triangle that are oppositely congruent Form 1 Mathematics
In the year 2001, the price of a sofa set in a shop was Kshs 12,000
(a) Calculate the amount of money received from the sales of 240 sofa sets that year (b) (i) In the year 2002 the price of each sofa set increased by 25% while the number of sets sold decreased by 10% Calculate the percentage increase in the amount received from the sales (ii) If at the end of year 2002, the price of each sofa set changed in the ration 16:15, calculate the price of each sofa set in the year 2003 (c) The number of sofa sets sold in the year 2003 was P% less than the number sold in the year 200. Calculate the value of P, given that the amounts received from sales if the two years were equal. Form 4 Mathematics
A plane flying at 200 knots left an airport A (300S, 310E) and flew due North to an airport B ( 300 N, 310E)
Answer
Form 3 Mathematics
The probability of three darts players Akinyi, Kamau, and Juma hitting the bull's eye are 0.2, 0.3 and 1.5 respectively.
Form 4 Mathematics
(a) Complete the following table for the equation y = x3 + 2x3
Answer
Form 4 MathematicsForm 3 MathematicsForm 3 Mathematics
The figure below shows a parallelogram OPQR with O as the origin, OP = p and OR = r, Point T divides RQ in the ratio 1: 4 PT Meets OQ at S.
(a) Express in terms of p and r the vectors
Form 4 MathematicsForm 3 Mathematics
The table shows income tax rates
A company employee earn a monthly basic salary of Kshs 30,000 and is also given taxable allowances amounting to Kshs 10, 480.
Form 4 Mathematics
A theatre has a seating capacity of 250 people. The charges are Kshs. 100 for an ordinary seat and Kshs 160 for a special seat. It cost Kshs 16,000 to stage a show and the theater must make a profit. There are never more than 200 ordinary seats and for a show to take place at least 50 ordinary seats must be occupied. The number of special seats is always less than twice the number of ordinary seats.
Form 2 MathematicsThe diagram on the grid provided below shows a trapezium ABCD on the same grid.
Form 4 Mathematics
The line segment BC given below is one side of triangle ABC
Form 4 MathematicsForm 1 MathematicsA rally car traveled from point R to point S. S is 128 km on a bearing 0600 from R. The car then set off S at 9.30 am towards T at an average of 150 km/h. It was expected at T at 11.30 am. After traveling for I hour and 20 minutes it broke down at point P. The bearing of T and P from S is 3000.
Calculate the:
Form 1 Mathematics
A construction company requires to transport 144 tonnes of stones to sites A and B. The company pays Kshs 24,000 to transport 48 tonnes of stone for every 28 km. Kimani transported 96 tonnes to a site A, 49 km away.
Related Questions on Commercial Arithmetic IForm 3 Mathematics | Topical Questions and Answers(a) Complete the table for the equation Y = 2 sin (3x + 300) (b) Using the grid provided, draw the graph of y = 2 sin ( 3x + 300) for 0 ≤ x ≤ 900. Take 1 cm to represent 50 on the x- axis and 2 cm to represent I unit on the y- axis (c) Use the graph in (b) to find the range of x that satisfy the inequality y3 ≤ 1.6
ANSWER
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