Form 4 Mathematics
(b) On the grid provided draw PQRS and its image P'Q'R'S’
(ii) On the same Grid draw P"Q"R‘S”.
(d) (i) Find a single matrix that maps P"Q"R’S" onto P’Q’R’S’. (ii) Describe fully the transformation thai maps P"Q”R"S" onto P’Q’R’s’.
answers
Form 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.
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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.
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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.
answers
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).
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Form 4 Mathematics
The vertices of a triangle PQR are P(-3, 2), Q(0,-1) and R(2, -1). A transformation matrix maps triangle PQR onto triangle P’Q' R' whose vertices are P'(-7, 2), Q'(2, -1) and R’(4, -1).
Find M-1, the transformation that maps P'Q'R' onto PQR.
answer
Form 4 Mathematics
The figure ABCDEFGH represents a box.
The top lid of the box is opened such that the height OT is 35cm. Calculate the:
(a ) angle the top lid makes with the plane FGHE; (b) length BE, correct to 2 decimal places.
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Form 4 Mathematics
Determine the amplitude and the period of the function y = 3 sin(2x + 40°).
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Form 4 Mathematics
In a mathematics test, the scores obtained by 30 students were recorded as shown in the table below.
The score K with a frequency of 6 is not given. 
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Form 4 Mathematics
Find the coordinates of the turning point of the curve y= x²-14x +10
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KCSE Mathematics Topical Questions and Answers in PDFForm 1 Topical Questions and Answers for KCSE
Marking Schemes
Form 4 Mathematics
The equation of a curve is y=x3+x2-x-1
(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.
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Form 4 Mathematics
The shaded region on the graph below shows a piece of land ABCD earmarked for building a sub-county 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 mid-ordinate rule with 3 strips to estimate the area of the piece of land, in hectares.
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Form 4 MathematicsA curve is represented by the function y = 1/3 x3 + x2 – 3x + 2 (a) Find dy/dx (1 mark) (b) Determine the values of y at the turning points of the curve y = 1/3 x3 + x2 – 3x + 2 ( 4 marks)
Answer
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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