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Mathematics Emergency Paper Term Ii Question Paper

Mathematics Emergency Paper Term Ii

Course:Mathematics

Exam Year:2014

OTIENO OYOO HIGH SCHOOL
TERM II JUNE 2014
121/ FORM II MATHEMATICS
ANSWER ALL QUESTIONS

1. A model of aircraft is designed such that the volume of its interior airspace is 125cm3. The volume of airspace of the actual airspace is 3.375 liters.
(a) Given that the wing-span of the actual aircraft is 7.44m, find the wing-span of the model in cm. (4mks)
(b) If the total surface area of the model is 2,420cm2, find the total surface area of the actual aircraft in sq.cm (4mks)
(c) Calculate the cost of the materials used to build the actual aircraft if the material costs sh. 2000 per square cm. (2mks)

2. The map of a district is drawn to the scale 1:n. on this map an estate is represented by a rectangle measuring 2.4mm wide. If the actual area of the estate is 72ha, find the value of n. (4mks)

3. The angle of elevation of the top of a tree from a point P on the horizontal ground is 24.50. From another point Q, five meters nearer to the base of the tree, the angle of elevation of the top of the tree is 33.20. Calculate to one decimal place the height of the tree. (4mks)

4. A bus can carry a maximum of 60 passengers. Each row of seats accommodates the same number of passengers. If two rows are added then each row would accommodate one passenger less for the bus to carry the maximum number of passengers. Determine the number of rows in the bus and the number of passengers each row can accommodate. (10mks)

5. Casual labourers in a certain factory are paid per hour for a fixed number of hours per week. In order to increase production, the company decided to increase each man’s weekly working hours by 180/0. This is called for a 15% increase in each man’s pay per hour. Determine the percentage increase in each man’s wages. (4mks)

6. The radius of a cylinder is increased by 50% while its height is decreased by 25%. The curved surface of the new cylinder is 135cm2. Determine the curved surface area of the old cylinder. (4mks)

7. Maize field has a base line XY. The measurements are in m. find the area in ha.
Y
TO R 60 240
200 70 TO N
TO S 30 100
20 100 TO M
X
8. Solve graphically: (4mks)
3y + 4x = 6 …………(i)
6y = 1 – 8x …………(ii)

9. In an experiment, the square of the lengths and the corresponding periods were determined. The table below gives the results:

Square root of length 0.32 0.45 0.55 0.63 0.71 0.77 0.84 0.89
Period of swing (t) 0.63 0.89 1.09 1.26 1.40 1.54 1.66 1.78
(a) Draw the graph of T against the rot of L (4mks)
(b) Find the length of the pendulum if the period of swing is 1.5s (1mk)

Mathematics Emergency Paper Term Ii Question Paper

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