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Mathematics Form Ii Question Paper

Mathematics Form Ii 

Course:Secondary Level

Institution: Mock question papers

Exam Year:2011



UHURU SECONDARY SCHOOL
END OF THE YEAR EXAMINATIONS 2011
MATHEMATICS FORM II
TIME 1 ½ H
NAME ………………………………………………………. CLASS ………………. ADM ……………
Evaluate -12÷ (-3) x 4 –(-20)
6 x 6÷2 +(-6) (3mks)



Evaluate without using mathematical tables or calculators

0.0273 x 1.152 (3mks)
1.3 x 1.68



In a fund raising committee of 45 people, the ratio of men to women is 7:2. Find the number of women required to jointhe existing committee so that the ratio of men to women is changed to 5:4 (4mks)



Two cylindrical containers are similar. The larger one has internal cross-section of 45 cm 2 and can hold 0.95 litres of liquid when full. The smaller container has internal cross-section area of 20cm2. Calculate the capacity of the smaller container (4mks)



Khadija and Kagendo bought the same types of pens and exercise books from the same shop. Khadija bought two pens and three exercise books for sh. 78. Kagendo bought three pens and four exercise books for sh. 108. Calculate the cost of each item (4mks)




A solid is made up of conical frustum and a hemispherical top as shown in the figure below.

a) Find the area of
i)the circular base (2mks)
ii)the curved part of the frustum (3mks)
iii)the hemispherical surface (2mks)

b) a similar solid has a total surface area of 81.51 cm2. Determine the radius of its base. (3mks)



Two sides of a triangle are 5 cm and 6cm with the angle between them being 1200. Find the area of the triangle. (2mks)


an open right circular cone has a base radius of 5 cm and a slanting height of 13 cm. calculate the surface area of the cone ( take p =3.142 )
(3mks)


The length of a solid prism is 10cm. its cross-section is an equilateral triangle of side 6cm. Find the total surface area of the prism. (3mks)



a pyramid of height 10 cm stands on a square base ABCD of side 6cm. calculate the perpendicular distance from the vertex to the side AB. Hence its surface area (4mks)



work out a) ½ of ¼ ÷ 1/8 +¾ - 1/8 (2mks)


The figure below shows two circles with centres C and D, of radii 8cm and 10 cm respectively. The two circles subtends angle a and ß at their centres and intersect at A and B as shown.



a ß




a) Given that the area of the triangle ACB =30.07 cm2and that of triangle ADB= 43.30 cm2,calculate the size of
i)angle ß (2mks)

ii) angle a (2mks)

b) calculate to two decimal places the area of sectors
i) ACB (2mks)


ii) ADB (2mks)






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