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
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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
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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 5.50 While the angle of elevation of C from B is 30.50 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
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Form 1 Mathematics
Three business partners: Asha Nangila and Cherop contributed Kshs 60,000, Kshs 85,000 and Kshs 105 000 respectively. They agreed to put 25% of the profit back into business each year. Thay also agreed to put aside 40% of the remaining profit to cater for taxes and insurance. The rest of the profit would then be shared among the partners in the ration of their contributions. At the end of the first year, the business realized a gross profit of Kshs 225 000
(a) Calculate the amount of money Cherop received more than Asha at the end of the first year (b) Nangila further invested Kshs 25,000 into the business at the beginning of the second year. Given that the gross profit at the end of the second year increased in the ratio 10: 9, calculate Nangila's share of the profit at the end of the second year.
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Related Questions and Answers on Commercial Arithmetic I
Form 3 Mathematics
A rally car traveled for 2 hours 40 minutes at an average speed of 120 km/h. The car consumes an average of 1 litre of fuel for every 4 kilometers.
A litre of the fuel costs Kshs 59 Calculate the amount of money spent on fuel
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Form 1 Mathematics
Points L and M are equidistant from another point K. The bearing of L from K is 3300.
The bearing of M from K is 2200.Calculate the bearing of M from L
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Form 3 Mathematics
In the figure below, PQR is an equilateral triangle of side 6 cm. Arcs QR, PR and PQ arcs of circles with centers at P, Q and R respectively.
Calculate the area of the shaded region to 4 significant figures
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Form 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
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Form 1 Mathematics
(a) Draw a regular pentagon of side 4 cm
(b) On the diagram drawn, construct a circle which touches all the sides of the pentagon
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Form 1 Mathematics
In fourteen years time, a mother will be twice as old as her son. Four years ago, the sum of their ages was 30 years. Find how old the mother was, when the son was born.
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Form 2 Mathematics
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Form 2 Mathematics
A cylindrical solid of radius 5 cm and length 12 cm floats lengthwise in water to a depth of 2.5 cm as shown in the figure below.
Calculate the area of the curved surface of the solid in contact with water, correct to 4 significant figures
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Form 1 Mathematics
A square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm3. Calculate the length of the plate in centimeters
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Form 4 Mathematics
The gradient of the tangent to the curve y = ax3 + bx at the point ( 1,1) is -5
Calculate the values of a and b
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Form 1 Mathematics
A Kenyan businessman bought goods from Japan worth 2, 950 000 Japanese yen. On arrival in Kenya custom duty of 20% was charged on the value of the goods.
If the exchange rates were as follows 1 US dollar = 118 Japanese Yen 1 US dollar = 76 Kenya shillings Calculate the duty paid in Kenya shillings
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Form 2 Mathematics
The size of an interior angle of a regular polygon is 3x0 while its exterior angle is ( x- 20)0. Find the number of sides of the polygon
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