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 hall leaving an area of 64m^{2}. If the length of the carpet is twice its width, determine the width of the carpet. Form 3 MathematicsForm 3 Mathematics
Expand and simplify the expression (2x^{2} — 3y^{3})^{2} + 12x^{2}y^{3}
Form 3 Mathematics
The cost C, of producing n items varies partly as n and partly as the inverse of n. To produce two items it costs Ksh 135 and to produce three items it costs Ksh 140. Find:
(a) the constants of proportionality and hence write the equation connecting C and n; (b) the cost of producing 10 items; (c) the number of items produced at a cost of Ksh 756. Form 3 Mathematics
The table below shows values of x and some values of y for the curve y = x^{3} + 2x^{2}  3x – 4 f o r  3 ≤ x ≤ 2.
(a) Complete the table by filling in the missing values of y, correct to 1 decimal place.
(b) On the grid provided, draw the graph of y = x^{3}+ 2x^{2}  3x  4. Use the scale: 1 cm represents 0.5 units on x axis. 1 cm represents 1 unit on yaxis. (c) Use the graph to: (i) solve the equation x^{3} + 2x^{2}  3x  4 = 0; (ii) estimate the coordinates of the turning points of the curve. Form 3 Mathematics
A parent has two children whose age difference is 5 years. Twice the sum of the ages of the two children is equal to the age of the parent.
(a) Taking x to be the age of the elder child, write an expression for: (i) the age of the younger child; (ii) the age of the parent. (b) In twenty years time, the product of the children's ages will be 15 times the age of their parent. (i) Form an equation in x and hence determine the present possible ages of the elder child. (ii) Find the present possible ages of the parent. (iii) Determine the possible ages of the younger child in 20 years time. Form 3 Mathematics
A hail can accommodate 600 chairs arranged in rows. Each row has the same number of chairs. The chairs are rearranged such that the number of rows are increased by 5 but the number of chairs per row is decreased by 6.
(a) Find the original number of rows of chairs in the hall. (b) After the rearrangement 450 people were seated in the hail leaving the same number of empty chairs in each row. Calculate the number of empty chairs per row. Form 3 Mathematics
find a quadratic equation whose roots are 1.5 + sq root 2 and 1.5  sq root 2, expressing it in the form ax^{2} + bx + c =0, where a, b and c are integers
Form 3 Mathematics
a) On the grid provided, draw a graph of the functionY= ½ x^{2} – x + 3 for 0 ≤ x ≤ 6
b) Calculate the midordinates for 5 strips between x= 1 and x=6, and hence Use the midordinate rule to approximate the area under the curve between x= 1, x=6 and the xaxis. c) Assuming that the area determined by integration to e the actual area, calculate the percentage error in using the midordinate rule. 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 
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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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