Form 3 Mathematics
A rectangular block has a square base whose side is exactly 8 cm. Its height measured to the nearest millimeter is 3.1 cm
Find in cubic centimeters, the greatest possible error in calculating its volume. Form 2 Mathematics
Find the equation of a straight line which is equidistant from the points ( 2,3) and ( 6, 1), expressing it in the form ax + by = c where a, b and c are constants
Form 1 Mathematics
The cash price of a T.V set is Kshs 13, 800. A customer opts to buy the set on Hire purchase terms by paying a deposit of Kshs 2, 280
If simple interest of 20% p.a is charged on the balance and the customer is required to repay by 24 equal monthly installments, calculate the amount of each installment. Related Questions and Answers on Commercial Arithmetic IForm 4 Mathematics
A particle moves in a straight line through a point P. Its velocity v m/s is given by v= 2 1, where t is time in seconds, after passing P. The distance s of the particle from P when t = 2 is 5 metres. Find the expression for s in terms of t.
Form 2 Mathematics
Solve the equation 3 cos x = 2 sin2 x, where 0^{0} ≤ x ≤ 360^{0}
Form 4 Mathematics
The diagram on the grid below represents as extract of a survey map showing two adjacent plots belonging to Kazungu and Ndoe.
The two dispute the common boundary with each claiming boundary along different smooth curves coordinates ( x, y) and (x, y2) in the table below, represents points on the boundaries as claimed by Kazungu Ndoe respectively.
(a) On the grid provided above draw and label the boundaries as claimed by Kazungu and Ndoe
Form 4 Mathematics
(b) In a certain week a businessman bought 36 bicycles and 32 radios for total of Kshs 227 280. In the following week, he bought 28 bicycles and 24 radios for a total of Kshs 174 960
Using matrix method, find the price of each bicycle and each radio that he bought (c) In the third week, the price of each bicycle was reduced by 10% while the price of each radio was raised by 10%. The businessman bought as many bicycles and as many radios as he had bought in the first two weeks. Find by matrix method, the total cost of the bicycles and radios that the businessman bought in the third week. Form 1 Mathematics
Two cylindrical containers are similar. The larger one has internal cross section area of 45cm^{2} and can hold 0.945 litres of liquid when full. The smaller container has internal cross section area of 20cm^{2}
(a) Calculate the capacity of the smaller container (b) The larger container is filled with juice to a height of 13 cm. Juice is then drawn from is and emptied into the smaller container until the depths of the juice in both containers are equal. Calculate the depths of juice in each container. (c) On fifth of the juice in the larger container in part (b) above is further drawn and emptied into the smaller container. Find the difference in the depths of the juice in the two containers. Form 3 Mathematics
In the figure below, OQ = q and OR = r. Point X divides OQ in the ratio 1: 2 and Y divides OR in the ratio 3: 4 lines XR and YQ intersect at E.
(a) Express in terms of q and r
(i) XR (ii) YQ (b) If XE = m XR and YE = n YQ, express OE in terms of: (i) r, q and m (ii) r, q and n (c) Using the results in (b) above, find the values of m and n. Form 1 Mathematics
A retailer planned to buy some computers form a wholesaler for a total of Kshs 1,800,000. Before the retailer could buy the computers the price per unit was reduced by Kshs 4,000. This reduction in price enabled the retailer to buy five more computers using the same amount of money as originally planned.
(a) Determine the number of computers the retailer bought (b) Two of the computers purchased got damaged while in store, the rest were sold and the retailer made a 15% profit Calculate the profit made by the retailer on each computer sold Form 3 Mathematics
A frequency distribution of marks obtained by 120 candidates is to be represented in a histogram. The table below shows the grouped marks. Frequencies for all the groups and also the area and height of the rectangle for the group 30 – 60 marks.
(a) (i) Complete the table
(ii) On the grid provided below, draw the histogram (b) (i) State the group in which the median mark lies (ii) A vertical line drawn through the median mark divides the total area of the histogram into two equal parts Using this information or otherwise, estimate the median mark Form 2 Mathematics
In the diagram below PA represents an electricity post of height 9.6 m. BB and RC represents two storey buildings of heights 15.4 m and 33.4 m respectively.
The angle of depression of A from B is 5.5^{0} While the angle of elevation of C from B is 30.5^{0} and BC = 35m.
(a) Calculate, to the nearest metre, the distance AB
(b) By scale drawing find, (i) The distance AC in metres (ii) Angle BCA and hence determine the angle of depression of A from C 
Categories
All
Archives
December 2024
