Form 2 MathematicsThe figure below shows a model of a roof with a rectangular base PQRS PQ = 32 cm and QR = 14 cm. The ridge XY = 12 cm and is centrally placed. The faces PSX and QRY are equilateral triangles M is the midpoint of QR. Calculate (a) (i) the length of YM (ii) The height of Y above the base PQRS (b) The angle between the planes RSXY and PQRS (c) The acute angle between the lines XY and QS Form 3 MathematicsThree quantities P,Q and R are sure that P varies directly as the square of Q and inversely as the square root of R. (a) Given that P = 20 when Q = 5 and R = 9, find P when Q and R = 25 (b) If Q increases by 20% and decreases by 36%, find the percentage increase in P. Form 4 Mathematics
A particle moves in a straight line. It passes though point O at t = O with velocity v= 5m/s. The acceleration a m/s2 of the particle at time t seconds after passing through O is given by a = 6t + 4
(a) Express the velocity v of the particle at time t seconds in terms of t (b) Calculate (i) The velocity of the particle when t = 3 (ii) The distance covered by the particle between t = 2 and t = 4 Form 3 MathematicsTriangle ABC is the image of triangle PQR under the transformation (b) Triangle ABC in part (a) above is to be enlarged scale factor 2 with centre at (11, 6) to map onto A’B’C. Construct and label triangle A’B’C’ on the grid above. (c) By construction find the coordinates of the centre and the angle of rotation which can be used to rotate triangle A’B’C’ onto triangle A” B” C”, shown on the grid above. Form 3 Mathematics
(a) Given that the matrix
Find A^{1} the inverse of A (b) Kimtai bought 200 bags of sugar and 300 bags of rice for a total of Kshs. 850,000. Buya bought 90 bags of sugar and 120 bags of rice for a total of Kshs. 360,000. If the price of a bag of sugar is Kshs x and that of rice is Kshs. Y, (i) Form two equations to represent the information above (ii) Use the matrix A^{1} to find the prices of one bag of each item. (c) Kali bought 225 bags of sugar and 360 bags of rice. He was given a total discount of Kshs. 33, 300. If the discount on the price of a bag of rice was 2%, calculate the percentage discount on the price of a bag of sugar. Form 1 MathematicsFor electricity posts, A,B,C, and D stand on a level ground such that B is 21 m on a bearing of 060^{0} from A, C, is 15 m to the south of B and D is 12 m on a bearing of 140^{0} from A.
Answer
Form 3 MathematicsForm 3 Mathematics
Farmer has two tractors A and B. The tractors, working together can plough a farm in 2 1/2h. One day, the tractors started to plough the farm together. After 1 h 10 min tractor B broke down but A continued alone and completed the job after a further 4 h.
Find:
Form 1 Mathematics
In this questions, mathematical tables should not be used
At Kenya bank buys sells foreign currencies as shown below:
A Japanese traveling from France arrives in Kenya with 5000 Euros; he converts all the 5000 Euros to Kenya Shillings at the bank.
Calculate the amount in Japanese yen, than he receives. Form 4 MathematicsForm 1 Mathematics
An industrialist has 450 litres of a chemical which is 70% pure. He mixes it with a chemical of the same type but 90% pure so as to obtain a mixture which is 75% pure.
Find the amount of the 90% pure chemical used Form 3 Mathematics
A group of 5 people can do a piece of work in 6 hours. Calculate the time a group of people. Working at half the rate of the first group would take to complete the same work.

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