KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 1 Mathematics
The sum of two numbers x and y is 40. write down an expression, in terms of x, for the sum of the squares of the two numbers.
Hence determine the minimum value of x2 + y2
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Form 1 Mathematics
(a) Draw a regular pentagon of side 4 cm
(b) On the diagram drawn, construct a circle which touches all the sides of the pentagon Form 1 Mathematics
In fourteen years time, a mother will be twice as old as her son. Four years ago, the sum of their ages was 30 years. Find how old the mother was, when the son was born.
Form 2 MathematicsForm 2 MathematicsForm 1 Mathematics
A square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm^3. Calculate the length of the plate in centimeters
Form 4 MathematicsSolve the equation 4 sin2 Ө+4 cos Ө =5 For 0o ≤ Ө ≥ 360o give the answer in degrees Form 4 Mathematics
The gradient of the tangent to the curve y = ax3 + bx at the point ( 1,1) is -5
Calculate the values of a and b Form 1 Mathematics
A Kenyan businessman bought goods from Japan worth 2, 950 000 Japanese yen. On arrival in Kenya custom duty of 20% was charged on the value of the goods.
If the exchange rates were as follows 1 US dollar = 118 Japanese Yen 1 US dollar = 76 Kenya shillings Calculate the duty paid in Kenya shillings Form 2 Mathematics
The size of an interior angle of a regular polygon is 3x0 while its exterior angle is ( x- 20)0. Find the number of sides of the polygon
Form 4 Mathematics
Two places P and Q are at ( 360N, 1250W) and 360N, 1250W) and 360 N, 1250W) and 360 N, 550E) respectively. Calculate the distance in nautical miles between P and Q measured along the great circle through the North pole.
Form 4 Mathematics
A particle moving in a straight line passes through a fixed point O with a velocity of 9m/s. The acceleration of the particle, t seconds after passing through O is given by a = ( 10 – 2t) m/s2.Find the velocity of the particle when t – 3 seconds
Form 3 MathematicsForm 1 Mathematics
The figure below is drawn to scale. It represents a field in the shape of an equilateral triangle of side 80m
The owner wants to plant some flowers in the field. The flowers must be at most, 60m from A and nearer to B than to C. If no flower is to be more than 40m from BC, show by shading, the exact region where the flowers may be planted
Form 3 Mathematics
The points which coordinates (5,5) and (-3,-1) are the ends of a diameter of a circle centre A
Determine:
(a) the coordinates of A
(b) The equation of the circle, expressing it in form x2 + y2 + ax + by + c = 0 where a, b, and c are constants Form 3 MathematicsForm 4 MathematicsForm 3 Mathematics
The data below represents the ages in months at which 6 babies started walking:
9,11, 12, 13, 11, and 10. Without using a calculator, find the exact value of the variance |
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