Form 3 MathematicsForm 4 Mathematics
Find the coordinates of the turning point of the curve y= x²14x +10
Form 3 Mathematics
A bag contains 6 red counters and 4 blue counters. Two counters are picked from the bag at random, without replacement.
(a) Represent the events using a tree diagram. (b) Find the probability that the two counters picked are of the same colour. Form 2 Mathematics
An arc of a circle subtends an angle of 150° at the circumference of the circle. Calculate the angle subtended by the same arc at the centre of the circle.
Form 3 Mathematics
A quantity P varies inversely as the square of another quantity L.When P = 0.625, L = 4. Determine P when L= 0.2.
Form 1 Mathematics
Two types of flour, X and Y, cost Ksh60 and Ksh 72 per kilogram respectively.
The two types are mixed such that the cost of a kilogram of the mixture is Ksh 70. Calculate the ratio X:Y of the mixture. Form 3 MathematicsForm 3 MathematicsThe diagram below represents a cuboid ABCDEFGH in which FG= 4.5 cm, GH = 8cm and HC = 6 cm Calculate: (a) The length of FC ( 2 marks) (b) (i) the size of the angle between the lines FC and FH ( 2 marks) (ii) The size of the angle between the lines AB and FH ( 2 marks) (c) The size of the angle between the planes ABHE and the plane FGHE (2mks) Form 3 Mathematics(a) complete the table below, giving your values correct to 2 decimal places ( 2 marks) (b) On the grid provided, using the same scale and axes, draw the graphs of y = sin x^{0} and y = 1 – cos x^{0} ≤ x ≤ 180^{0} Take the scale: 2 cm for 300 on the x axis 2 cm for I unit on the y axis (c) Use the graph in (b) above to (i) Solve equation 2 sin x^{o} + cos x^{0} = 1 ( 1 mark) (ii) Determine the range of values x for which 2 sin xo > 1 – cos x^{0} ( 1 mark) Form 1 MathematicsA boat at point x is 200 m to the south of point Y. The boat sails X to another point Z. Point Z is 200m on a bearing of 310^{0} from X, Y and Z are on the same horizontal plane. (a) Calculate the bearing and the distance of Z from Y ( 3 marks) (b) W is the point on the path of the boat nearest to Y. Calculate the distance WY ( 2 marks) (c) A vertical tower stands at point Y. The angle of point X from the top of the tower is 6^{0} calculate the angle of elevation of the top of the tower from W (3 marks) Form 4 MathematicsA curve is represented by the function y = ^{1}/_{3} x^{3} + x^{2} – 3x + 2 (a) Find ^{dy}/_{dx} (1 mark) (b) Determine the values of y at the turning points of the curve y = ^{1}/_{3} x^{3} + x^{2} – 3x + 2 ( 4 marks) Form 4 MathematicsDiet expert makes up a food production for sale by mixing two ingredients N and S. One kilogram of N contains 25 units of protein and 30 units of vitamins. One kilogram of S contains 50 units of protein and 45 units of vitamins. If one bag of the mixture contains x kg of N and y kg of S. (a) Write down all the inequalities, in terms of x and representing the information above ( 2 marks) Form 4 Mathematics(a) BCD is a rectangle in which AB = 7.6 cm and AD = 5.2 cm. draw the rectangle and construct the lucus of a point P within the rectangle such that P is equidistant from CB and CD ( 3 marks) (b) Q is a variable point within the rectangle ABCD drawn in (a) above such that 600 ≤ AQB≤ 900 On the same diagram, construct and show the locus of point Q, by leaving unshaded, the region in which point Q lies Form 3 MathematicsAbdi and Amoit were employed at the beginning of the same year. Their annual salaries in shillings progressed as follows: Abdi: 60,000, 64 800, 69, 600 (a) Calculate Abdi’s annual salary increment and hence write down an expression for his annual salary in his n^{th} year of employment( 2 marks) (b) Calculate Amoit’s annual percentage rate of salary increment and hence write down an expression for her salary in her n^{th} year of employment. ( 2 marks) (c) Calculate the differences in the annual salaries for Abdi and Amoit in their 7^{th} year of employment ( 4 marks) 
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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