KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 3 Mathematics
a) On the grid provided, draw a graph of the functionY= ½ x2 – x + 3 for 0 ≤ x ≤ 6
b) Calculate the mid-ordinates for 5 strips between x= 1 and x=6, and hence Use the mid-ordinate rule to approximate the area under the curve between x= 1, x=6 and the x-axis. c) Assuming that the area determined by integration to e the actual area, calculate the percentage error in using the mid-ordinate rule.
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Form 3 Mathematics
A school planned to buy x calculators for a total cost of Kshs 16 200. The supplier agreed to offer a discount of Kshs 60 per calculator. The school was then able to get three extra calculators for the same amount of money.
a) Write an expression in terms of x, for the: i) Original price of each calculator. ii) Price of each calculator after the discount b) Form an equation in x and hence determine the number of calculators the School bought. c) Calculate the discount offered to the school as a percentage Form 3 Mathematics
The table below shows values of x and some values of y for the curvey = x +3+3x2+-4x-12 in the range -4 ≤ x ≤ 2.
a) Complete the table by filling in the missing values of y.
b) On the grid provided, draw the graph y=x3 + 3x2+ -4x – 12 for -4 ≤ x ≤ 2.Use the scale. Horizontal axis 2cm for I unit and vertical axis 2cm for 5 units.
c) By drawing a suitable straight line on the same grid as the curve, solve the equation x3+3x2-5x-6=0 Form 3 Mathematics
A group of people planned to contribute equally towards a water project which needed Ksh 200 000 to complete, However, 40 members of the group without from the project.
As a result, each of the remaining members were to contribute Ksh 2500. a) Find the original number of members in the group. b) Forty five percent of the value of the project was funded by Constituency Development Fund (CDF). Calculate the amount of contribution that would be made by each of the remaining members of the group. c) Member‟s contributions were in terms of labour provided and money contributed. If the ratio of the value of labour to the money contributed was 6:19; calculate the total amount of money contributed by the members. Form 3 Mathematics
The gradient function of a curve is given by the expression 2x + 1. If the curve passes through the point ( -4, 6);
(a) Find: (i) The equation of the curve (ii) The vales of x, at which the curve cuts the x- axis (b) Determine the area enclosed by the curve and the x- axis Form 3 MathematicsForm 1 Mathematics
The sum of two numbers x and y is 40. write down an expression, in terms of x, for the sum of the squares of the two numbers.
Hence determine the minimum value of x2 + y2 Form 3 MathematicsForm 3 Mathematics
Find the value of x which satisfy the equation
52x – 6 × 5x + 5 = 0 Form 3 Mathematics | Topical Questions and AnswersRelated Quadratic ExpressionsForm 3 Mathematics
8s2 + 2s – 3 = 0
Hence solve the equation 8 sin2Ө + 2sinӨ - 3 = 0 for 00 ≤ θ ≤ 1800 Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1If x2 + y2 = 29 and x + y = 3
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1By substituting triangle for (2 – 0) or otherwise simplify the expression (x + 2 –a)2 + (2 – a-x)2 – 2(x- 2 + a) (x + 2 – a). Give your answer in terms of a and as a product of two squares. (a) Construct a table of values for the function y = x2 – 6 for -3 < x <4
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