KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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LINEAR EQUATIONS  FORM 2 LEVEL  KCSE 1997  PAPER 1  SECTION BThe coordinates of the points P and Q are (1, 2) and (4, 10) respectively. A point T divides the line PQ in the ratio 2:1.
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QUESTION 19  KCSE 2021  MATRICES  PAPER 1  FORM 3 LEVELElimu School bought 25 textbooks and 35 exercise books for Ksh 13 500 from bookshop A. From the same bookshop Soma School bought 21 textbooks and 38 exercise books and spent Ksh 1 300 less than Elimu School.
Take x to represent the price of a textbook and y to represent the price of an exercise book.
The line 2y+x=1 is perpendicular to a line L. Line L passes through point (2,1). Determine the equation of L in the form Y = mx + c, where m and c are constants.
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 6
AnswerA line L1 passes through points A (3,3), B(51) and it is bisected by L2. Determine the equation of L2 in the form y = mx + c (3mks)Find the equation of the perpendicular bisector AB, given that A (2, 4) and B (8, 8). (3mks) ANSWERquestionThe sum of two numbers m and n is 7. The sum of m and the reciprocal of n is 3 ¼. Find the two possible values of m and n. (4 Marks) answerThe coordinates of two points A and B are (2, 3) and (4, 5) and R is the midpoint of AB.2/1/2023 questions
The coordinates of two points A and B are (2, 3) and (4, 5) and R is the midpoint of AB.
a) Determine the coordinates of R. (2 marks)
b) Find the equation of a straight line joining A and B, expressing it in the form y=mx+c where m and c are constants. (3 marks) c) The straight line L_(1 ) which is a perpendicular bisector of AB meets the Xaxis at T. Find the coordinates of T. (3 marks) d) If the straight line L_(1 )is parallel to a line that passes through the point (1, 6) and (a, 8), find a. (2 marks) answersDuring a certain ceremony goats and chicken were slaughtered. The number of heads (for both chicken and goats) was 45. The total number of legs was 100. Determine the exact number of goats and chicken slaughtered. (3mks) Worked Answer:
Form 2 Mathematics
A trader bought two types of bulbs A and B at Ksh 60 and Ksh 56 respectively. She bought a total of 50 bulbs of both types ct a total of Ksh 2872.
Determine the number of type A bulbs that she bought. Form 3 Mathematics
Use completing the square method to solve 3x^{2} + 8x — 6 = 0, correct to 3 significant figures.
Form 2 MathematicsForm 3 Mathematics
Murimi and Naliaka had each 840 tree seedlings. Murimi planted equal number of seedlings per row in x rows while Naliaka planted equal number of seedlings in (x + 1) rows.
The number of tree seedlings planted by Murimi in each row were 4 more than those planted by Naliaka in each row. Calculate the number of seedlings Murimi planted in each row. Form 3 Mathematics
a)Solve the equation
b) The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m^{2}
.i)Calculate the perimeter of the floor ii)A rectangular carpet is placed on the floor of the wall leaving an area of 64m^{2}. If the length of a carpet is twice its width, determine the width of the carpet. Form 1 Mathematics
The cost of 2 jackets and 3 shirts was Ksh 1800. After the cost of a jacket and that of a shirt were increased by 20%, the cost of 6 jackets and 2 shirts was
Ksh 4 800. Calculate the new cost of a jacket and that of a shirt. Form 2 Mathematics
Given the simultaneous equations
5x + y = 19 x + 3y = 9
Form 2 Mathematics
A straight line passes through points A(3,8) and B(3, 4). Find the equation of the straight line through(3,4) and parallel to AB. Give the answer in the form y – mx +c, and c are constants. (3mks)
Form 3 Mathematics
(a) Complete the table below for y = x^{3}+4x^{2}5x5
(b) On the grid provided, draw the graphs of y = x^{3} +4x^{2}5x5 for 5 ≤ x ≤ 2
(c) (i) Use the graph to solve the equation x^{3} +4x^{2} – 5x – 5 = 0 (ii) By drawing a suitable straight line on the graph, solve the equation x^{3} + 4x^{2} – 5x 5 =  4x – 1 Form 1 Mathematics
Hadija and Kagendo bought the same types of pens and exercise books from the same shop
Hadija bought 2 pens and 3 exercise books for Kshs 78. Kagendo bought pens and 4 exercise books for Kshs 108 Calculate the cost of each item Form 3 Mathematics
A curve is given by the equation: u = 5x^{3} – 7x^{2} + 3x +2) Gradient of the curve at x = 1

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