KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Form 4 MathematicsForm 3 Mathematics
Expand (3 - x)1 up to the term containing x4. Hence find the approximate value of (2.8)7.
Form 4 MathematicsForm 4 Mathematics
Determine the amplitude and period of the function, y = 2 cos (3x — 45)°.
Form 3 MathematicsForm 3 Mathematics
Three quantities L, M and N are such that L varies directly as M and inversely as the square of N. Given that L = 2 when M = 12 and N = 6, determine the
equation connecting the three quantities. Form 3 MathematicsForm 3 Mathematics
The first term of an arithmetic sequence is — 7 and the common difference is 3.
(a) List the first six terms of the sequence; (b) Determine the sum of the first 50 terms of the sequence. Form 3 Mathematics
The lengths of two similar iron bars were given as 12.5m and 9.23m. Calculate the maximum possible difference in length between the two bars.
Form 2 Mathematics
The figure below represents a right pyramid with vertex V and a rectangular base PQRS. VP = VQ = VR S = 18cm and QR =16cm and QR = 12cm. M and O are the midpoints of QR and PR respectively.
Find:
Form 4 Mathematics
a) Complete the table below, giving your values correct to 2 decimal places.
Form 4 Mathematics
The line PQ below is 8cm long and L is its midpoint
Form 4 Mathematics
Form 4 Mathematics
Omondi makes two types of shoes: A and B. He takes 3 hours to make one pair of type A and 4 hours to make one pair of type B. He works for a maximum of 120 hours to x pairs of type A and Y pairs of type B.It costs him sh 400 to make a pair of type A and sh 150 to make a pair of type B.
His total cost does not exceed sh 9000. He must make 8 pairs of type A and more than 12 pairs of type B. Form 4 Mathematics
A ship leaves port p for port R though port Q.Q is 200 km on a bearing of 2200 from P.R is 420 km on the bearing of 1400 from from Q.
Form 4 Mathematics
The equation of acurve is given by y = x3 – 4x2 – 3x
(a) Find the value of y when x = -1 (b) Determine the stationary points of the curve (c) Find the equation of the normal to the curve at x = 1 Form 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 4 Mathematics
(a) Complete the table below for the function y = x2 – 3x + 6 in range -2 ≤ x ≤ 8
(b) Use the trapezium rule with strips to estimate the area bounded by the curve,y = x2 – 3x + 6, the lines x = -2, x = 8, and x - axis
(c) Use the mid-ordinate rule with 5 strips to estimate the area bounded by the curve,y = x2 – 3x + 6, the lines x = -2, x = 8, and x –axis (d) By integration, determine the actual area bounded by the curve y = x2 – 3x + 6, the lines x = -2, x = 8, and x –axis Form 2 Mathematics
The figure below shows a right pyramid VABCDE. The base ABCDE is regular pentagon. AO = 15cm and VO = 36 cm.
Calculate:
(a) The area of the base correct to 2 decimal places (b) The length AV (c) The surface area of the correct to 2decimal places (d) The volume of the pyramid correct to 4 significant figures Form 2 Mathematics
The figure below represents a speed time graph for a cheetah which covered 825m in 40 seconds.
(a) State the speed of the cheetah when recording of its motion started
(b) Calculate the maximum speed attained by the cheetah (c) Calculate the acceleration of the cheetah in: (i) The first 10 seconds (ii) The last 20 seconds (d) Calculate the average speed of the cheetah in first 20 seconds Form 2 Mathematics
The lengths, in cm, of pencils used by pupils in a standard one class on a certain day were recorded as follows.
(a) Using a class width of 3, and starting with the shortest length of the pencils, make a frequency distribution table for the data.
(b) Calculate: (i) The mean length of the pencils (ii) The percentage of pencils that were longer than 8cm but shorter than 15cm. (c) On the grid provided, draw a frequency polygon for the data Form 2 Mathematics
A line L passes through (-2, 3) and (-1, 6) and is perpendicular to a line P at (-1, 6).
(a) Find the equation of L (b) Find the equation of P in the form ax + by = c,where a, b and c are constants. (c) Given that another line Q is parallel to L and passes through point (1, 2) find the x and y intercepts of Q (d) Find the point of the intersection of lines P and Q |
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