Form 3 Mathematics
A bag contains 2 white balls and 3 black balls. A second bag contains 3 white balls and 2 black balls. The balls are identical except for the colours, b
Two balls are drawn at random, one after the other from the first bag and placed in the second bag. Calculate the probability that the 2 balls are both white. Form 4 MathematicsForm 1 Mathematics
When Ksh 40 000 was invested in a certain bank for 5 years it earned a simple interest of Ksh 3 800.
Find the amount that must have been invested in the same bank at the same rate for 7  years to earn a simple interest of Ksh 3 420. Form 1 Mathematics
Five people can build 3 huts in 21 days. Find the number of people, working at the same rate that will build 6 similar huts in 15 days.
Form 1 Mathematics
The length of a flower garden is 2 m less than twice its width. The area of the garden is 60 m^{2}.
Calculate its length. Form 1 Mathematics
A tea dealer mixes two brands of tea, x and y, to obtain 35 kg of the mixture worth Ksh 62 per kg. 1f brand x is valued at Ksh 68 per kg and brandy at Ksh 53 per kg, calculate the ratio, in its simplest form, in which the brands x and y are mixed.
Form 3 MathematicsForm 3 Mathematics
The length and width of a rectangle measured to the nearest millimeter are 7.5 cm and 5.2 cm respectively.
Find, to four significant figures, the percentage error in the area of the rectangle. Form 2 Mathematics
A rectangular box open at the top has a square base. The internal side of the base is x cm long and the total internal surface area of the box is 432 cm^{2}.
(a) Express in terms of x: (i) the internal height h, of the box; (ii) the internal volume V, of the box. (b) Find: (i) the value of x for which the volume V is maximum; (ii) the maximum internal volume of the box. Form 2 MathematicsForm 2 Mathematics
In the figure below, ABCD is a square. Points P, Q, R and S are the midpoints of AB, BC, CD and DA respectively.
(a) Describe fully:
(i) a reflection that maps triangle QCE onto triangle SDE; (ii) an enlargement that maps triangle QCE onto triangle SAE; (iii) a rotation that maps triangle QCE onto triangle SED. (b) The triangle ERC is reflected on the line BD. The image of ERC under the reflection is rotated clockwise through an angle of 90° about P. Determine the images of R and C: (i) under the reflection; (ii) after the two successive transformations. Form 2 Mathematics
Motorbike A travels at 10 km/h faster than motorbike B whose speed is x km/h.Motorbike A takes 1 1/2 hours less than motorbike B to cover a 180 km journey.
(a) Write an expression in terms of x for the time taken to cover the 180 km journey by: (i) motorbike A; (ii) motorbike B. (b) Use the expressions in (a) above to determine the speed, in km/h, of motorbike A. (c) For a journey of 48 km, motorbike B starts 10 minutes ahead of motorbike A. Calculate, in minutes, the difference in the time of their arrival at the destination. Form 1 Mathematics
The boundaries PQ, QR, RS and SP of a ranch are straight lines such that: Q is 16 km on a bearing of 040° from P; R is directly south of Q and east of P and S is 12 km on a bearing of 120^{0} from R.
(a) Using a scale of 1cm to represent 2 km, show the above information in a scale drawing. (b) From the scale drawing determine: (i) the distance, in kilometers, of P from S; (ii) the bearing of P from S. (c) Calculate the area of the ranch PQRS in square kilometres. Form 4 Mathematics
(b) Okello bought 5 Physics books and 6 Mathematics books for a total of Ksh 2 440.
Ali bought 7 Physics books and 9 Mathematics books for a total of Ksh 3 560. (i) Form a matrix equation to represent the above information. (ii) Use matrix method to find the price of a Physics book and that of a Mathematics book. (c) A school bought 36 Physics books and 50 Mathematics books. A discount of 5% was allowed on each Physics book whereas a discount of 8% was allowed on each Mathematics book. Calculate the percentage discount on the cost of all the books bought. 
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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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