Form 3 Mathematics
a) Expand and simplify the binomial expression (2 –x)^{7} in ascending powers of x.
b) Use the expansion up to the fourth term to evaluate (1.97)^{7} correct to 4 decimal places Form 1 Mathematics
In a certain commercial bank, customer may withdraw cash through one of the two tellers at the counter. On average, one teller takes 3 minutes while the other teller takes 5 minutes to serve a customer. If the two tellers start to serve the customers at the same time, find the shortest time it takes to serve 200 customers
Form 2 MathematicsForm 3 MathematicsForm 1 MathematicsForm 3 Mathematics
The mass of a wire m grams (g) is partly a constant and partly varies as the square of its thickness t mm. when t= 2 mm, m= 40g and when t=3 mm, m = 65g
Determine the value of m when t = 4 mm. 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 1 Mathematics
A farmer feed every two cows on 480 Kg of hay for four days. The farmer has 20 160 Kg of hay which is just enough to feed his cows for 6 weeks. Find the number of cows in the farm.
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 1 Mathematics
Three points P, Q and R are on a level ground. Q is 240 m from P on a bearing of 230^{0} . R is 120 m to the east of P
a) Using a scale of 1 cm to represent 40 m, draw a diagram to show the positions of P, Q and R in the space provided below. b) Determine i) The distance of R from Q ii) The bearing of R from Q c) A vertical post stands at P and another one at Q. A bird takes 18 seconds to fly directly from the top of the post at q to the top of the post at P. Given that the angle of depression of the top of the post at P from the top of the post at Q is 9^{0}, Calculate: i) The distance to the nearest metre, the bird covers; ii)The speed of the bird in Km/h Form 3 Mathematics
The diagram below shows the speedtime graph for a train traveling between two stations. The train starts from rest and accelerates uniformly for 150 seconds. It then travels at a constant speed for 300 seconds and finally decelerates uniformly for 200 seconds.
Given that the distance between the two stations is 10 450 m, calculate the:
a) Maximum speed, in Km/h, the train attained; b) Acceleration, c) Distance the train traveled during the last 100 seconds; d) Time the train takes to travel the first half of the journey. Form 2 Mathematics
A glass, in the form of a frustum of a cone, is represented by the diagram below.
The glass contains water to a height of 9 cm,. The bottom of the glass is a circle of radius 2 cm while the surface of the water is a circle of radius 6 cm.
a) Calculate the volume of the water in the glass
b) When a spherical marble is submerged into the water in the glass, the water level rises by 1 cm. Calculate: i) The volume of the marble; ii) The radius of the marble Form 3 MathematicsForm 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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