Form 2 Mathematics
The diagram below shows a triangle ABC with A (3, 4), B (1, 3) and C (2, 1).
a) Draw triangle A'B'C' the image of ABC under a rotation of +900+ about (0, 0).
b) Drawn triangle A"B" the image of A"B'C" under a reflection in the line y=x. c) Draw triangle A"B" C. the image under a rotation of -900 about (0, 0) d) Describe a single transformation that maps triangle ABC"" onto angle A"""B"""C""" e) Write down the equations of the lines of symmetry of the quadrilateral BB"A""A
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Form 2 Mathematics
The diagram below represents two vertical watch-towers AB and CD on a level ground. P and Q are two points on a straight road BD. The height of the tower AB is 20m road a BD is 200m.
a) A car moves from B towards D. At point P, the angle of depression of the car from point A is 11.3. Calculate the distance BP to 4 significant figures.
b) If the car takes 5 seconds to move from P to Q at an average speed of 36 km/h, calculate the angle of depression of Q from A to 2 decimal places c) Given that QC=50.9m, calculate; (i) The height of CD in meters to 2 decimal places; (ii) The angle of elevation of A from C to the nearest degree.
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Form 3 Mathematics
In the figure below AB=P, AD= q, DE= ½ AB and BC= 2/3 BD
a) Find in terms of p arid q the vectors:
(i) BD; (ii) BC; (iii) CD; (iv) AC. b) Given that AC=KCE, where k is a scalar, find (i) The value of k (ii) The ratio in which C divides AE
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Form 4 Mathematics
The figure below is a sketch of the curve whose equation is y=x2+x+5.
It cuts the line y=11 at points P and Q. 
a) Find the area bounded by the curve = x2+x+5 and the line y=11 using the trapezium rule with 5 strips.
b) Calculate the difference in the area if the mid-ordinate rule with 5 ordinates was used instead of the trapezium rule.
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Form 1 Mathematics
a) The ratio of Juma's and Akinyi's earnings was 5:3 Juma's earnings rose to Ksh 8400 after an increase of 12%.
Calculate the percentage increase in Akinyi's earnings given that the sum of their new earnings was Ksh. 14100. b) Juma and Akinyi contributed all the new earnings to buy maize at Ksh 1175 per bag. The maize was then sold at Ksh 1762.50 per bag. The two shared all the money from the sales of the maize in the ratio of their contributions. Calculate the amount that Akinyi got.
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Form 2 Mathematics
The equation of line L1 is 2y-5x-8=0 and line L2 passes through the points (-5, 0) and (5,-4). Without drawing the lines L1 and L2 show that the two lines are perpendicular to each other.
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Form 2 Mathematics
Given that log 4=0.6021 and log 6=0.7782, without using mathematical tables or a calculator, evaluate log 0.096.
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Form 2 Mathematics
A rectangular and two circular cut-outs of metal sheet of negligible thickness are used to make a closed cylinder. The rectangular cut-out has a height of 18cm. Each circular cu-out has a radius of 5.2cm. Calculate in terms of pi, the surface area of the cylinder
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Form 4 Mathematics
Two matrices A and B are such that;
Given that the determinant of AB = 4, find the value of k.
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Form 2 Mathematics
Three vertices of a rhombus ABCD are; A(-4,-3), B(1,-1) and c are constants.
a) Draw the rhombus on the grid provided below. b) Find the equation of the line AD in the form y = mx + c, where and c are constants.
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Form 2 Mathematics
An angle of 1.8 radians at the centre of a circle subtends an area of length 23.4cm
Find; a) The radius of the circle b) The area of the sector enclosed by the arc and the radii.
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Form 1 Mathematics
A solid metal sphere of radius 4.2 cm was melted and the molten material used to make a cube. Find to 3 significant figures the length of the side of the cube.
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Form 1 Mathematics
Line BC below is a side of a triangle ABC and also a side of a parallelogram BCDE.
Using a ruler and a pair of compasses only construct:
(i) The triangle ABC given that angle ABC = 1200 and AB= 6cm (ii) The parallelogram BCDE whose area is equal to that of the triangle ABC and point E is on line AB
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Related Questions and Answers on Geometric ConstructionsForm 2 Mathematics
A liquid spray of mass 384g is packed in a cylindrical container of internal radius 3.2cm. Given that the density of the liquid is 0.6g/cm3, calculate to 2 decimal places the height of the liquid in the container.
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Form 1 Mathematics
A fuel dealer makes a profit of Kshs. 520 for every 1000 litres of petrol sold and Ksh. 480 for every 1000 litres of diesel sold.
In a certain month the dealer sold twice as much diesel as petrol. If the total fuel sold that month was 900,000 litres, find the dealer‟s profit for the month.
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Form 1 Mathematics
The figure below shows a net of a solid
Below is a part of the sketch of the solid whose net is shown above.
Complete the sketch of the solid, showing the hidden edges with broken lines. 
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Form 2 Mathematics
Mapesa traveled by train from Butere to Nairobi. The train left Butere on a Sunday at 23 50 hours and traveled for 7 hours 15 minutes to reach Nakuru. After a 45 minutes stop in Nakuru, the train took 5 hours 40 minutes to reach Nairobi.
Find the time, in the 12 hours clock system and the day Mapesa arrived in Nairobi.
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