Form 4 MathematicsForm 3 MathematicsForm 4 Mathematics
The amount of money contributed by a group of students during a fundraising for a needy student was as shown in the table below.
(a) On the grid provided draw an ogive to represent the data.
(b) Use the graph to estimate: (i) The median; (ii) The quartile deviation; (iii) The percentage number of students who contributed at least Ksh 750.50. Form 4 Mathematics
A workshop makes cupboards and tables using two artisans A and B every cupboard made requires 3 days of work by artisan A and 2 days of work by artisan B. Every table made requires 2 days of work by artisan A and 2 days of work by artisan B.
In one month artisan A worked in less than 24 while artisan B Worked for Not More Than 18 Days. The workshop made x cupboards and y tables in that month. (a) Write all the inequalities which must be satisfied by x and y. (b) Represent the inequalities in (a) on the grid provided. (c) The workshop makes a profit of Ksh 6 000 on each cupboard and Ksh4 000 on each table. Find the number of cupboards and the number of tables that must be made for maximum profit and hence determine the maximum profit. Form 4 Mathematics
A ship left point P(10°S, 40°E) and sailed due East for 90 hours at an average speed of 24 knots to a point R.(Take 1 nautical mile (nm) to be 1.853 km and radius of the earth to be 6370 km)
(a) Calculate the distance between P and R in: (i) nm; (ii) km. (b) Determine the position of point R. (c) Find the local time, to the nearest minute, at point R when the time at P is 11:00a.m. Form 4 Mathematics
The figure KLMN below is a scale drawing of a rectangular piece of land of length KL = 80m
(a) On the figure, construct
(i) The locus of a point P which is both equidistant from points L and M It and from lines KL and LM. (ii) the locus of a point Q such that ∠KQL = 90°. (b) (i) Shade the region R bounded by the locus of Q and the Locus of points equidistant from KL and LM. (ii) Find the area of the region R in m². (Take ℼ= 3.142). Form 3 Mathematics
Mbaka bought some plots at Ksh 400,000 each. The value of each plot appreciated at the rate of 10% per annum.
(a) Calculate the value of a plot after 2 years. (b) After some time t, the value of a plot was Ksh 558,400. Find t, to the nearest month. (c) Mbaka sold all the plots he had bought after 4 years for Ksh2,928,200. Find the percentage profit Mbaka made, correct to 2 decimal places. Form 4 Mathematics
The equation of a curve is y=x^{3}+x^{2}x1
(i) Determine the stationary point of the curve (Îi) the nature of the stationary points in (a) (i) above. (b) Determine: (i) the equation of the tangent to the curve at x = 1; (ii) the equation of the normal to the curve at x = 1. Form 4 Mathematics
The shaded region on the graph below shows a piece of land ABCD earmarked for building a subcounty hospital.
(a) Write down the ordinates of curves AB and DC for x = 0, 200, 400, 600, 800, 1000 and 1200.
(b) Use trapezium rule, with 6 strips to estimate the area of the piece of land ABCD, in hectares. (c) Use midordinate rule with 3 strips to estimate the area of the piece of land, in hectares. Form 2 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) 
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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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