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.
Answer
Form 4 Mathematics
(a) Complete the following table for the equation y = x3 + 2x3
Answer
Form 4 Mathematics
(a) The gradient function of a curve is given by
Find the equation of the curve, given that y = 3, when x = 2
(b) The velocity, vm/s of a moving particle after seconds is given: v = 2t3 + t2 – 1. Find the distance covered by the particle in the interval 1 ≤ t ≤ 3.
Answer
Form 3 MathematicsIn the figure below, points O and P are centers of intersecting circles ABD and BCD respectively. Line ABE is a tangent to circle BCD at B. Angle BCD = 420 
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Form 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
Answer
Form 4 Mathematics
The coordinates of the vertices of rectangle PQRS are P (1,1), Q (6,1), R ( 6,4) and S(1,4)
Answer 18.A
Answer 18.B
Form 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.
Answer
Form 2 Mathematics
The position vectors for points P and Q are 4i + 3 j + 6 j + 6 k respectively. Express vector PQ in terms of unit vectors I, j and k. Hence find the length of PQ, leaving your answer in simplified form.
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Form 2 Mathematics
A town N is 340 km due west of town G and town K is due west of town N. A helicopter Zebra left G for K at 9.00 am. Another helicopter Bufalo left N for K at 11.00 am. Helicopter Buffalo traveled at an average speed of 20 km/ h faster than Zebra. If both helicopters reached K at 12.30 pm find the speed of helicopter Buffalo.
Answer
Form 1 MathematicsThe interior angles of the hexagon are 2x0, ½ x0 + 400, 1100, 1300 and 1600. Find the value of the smallest angle.
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Form 3 Mathematics
Given that:
Hence, solve simultaneous equations below:
2x – 3 y = 5 -x + 2y = -3
Answer
Form 4 MathematicsGiven that sin ( x + 30)0 = cos 2x0 for 00, 00 ≤ x ≤900 find the value of x. Hence find the value of cos23x0.
Answer
Form 4 Mathematics
A particle is projected from the origin. Its speed was recorded as shown in the table below
Use the trazezoidal rule to estimate the distance covered by the particle within the 35 seconds
Answer
Form 3 Mathematics
A poultry farmer vaccinated 540 of his 720 chickens against a disease. Two months later, 5% of the vaccinated and 80% of the un-vaccinated chicken, contracted the disease. Calculate the probability that a chicken chosen random contacted the disease.
Answer
Form 1 MathematicsUse a ruler and compasses in this question. Draw a parallegram ABCD in which AB = 8 cm, BC = 6 cm and ∠BAD = 750. By construction, determine the perpendicular distance between AB and CD.
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Form 2 MathematicsThe length of a room is 4 metres longer its width. Find the length of the room if its area is 32cm2
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Form 2 MathematicsA line L1 passes though point (1,2) and has a gradient of 5. Another line L2, is perpendicular to L1 and meets it at a point where x = 4. Find the equation for L2 in the form of Y = Mx + C
Answer
Form 2 Mathematics
The diagram below represents a solid made up of a hemisphere mounted on a cone. The radius of the hemisphere are each 6 cm and the height of the cone is 9 cm.
a solid made up of a hemisphere mounted on a cone
Find the volume of the solid:
Answer
Form 2 Mathematics
The figure below represents a kite ABCD, AB = AD = 15 cm. The diagonals BD and AC intersect at O. AC = 30 cm and AO = 12 cm.
Kite ABCD
Find the area of the kite
Answer
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.
Answer
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