Form One Mathematics Question Paper

Form One Mathematics

Course:Secondary Level

Exam Year:2012

HURUMA GIRLS’ HIGH SCHOOL
END OF YEAR EXAMINATIONS 2012
FORM ONE MATHEMATICS
Time 1 h

NAME ………………………………………………………….. CLASS ……….. ADM ……………………
ANSWER ALL THE QUESTIONS
1. solve the simultaneous equations shown below (4mks)
2x – 3y = 5
-x + 2y = 3
2. Three years ago Juma was three times as old as Ali. In two years’ time the sum of their ages would be 62. Determine their ages (4mks)
3. A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland he bought a mobile phone worth 200 Deutsche marks. Find the value of the phone in (4mks)
a) Swiss franks
b) Kenyan shillings
The exchange rates were 1 Swiss franc = 1.28 Deutsche marks
1 Swiss franc = 45.21 Kenya shillings
4. A salesman gets a commission of 2.4 % on sales up to sh. 100 000. He gets an additional commission of 1.5 % on sales above this. Calculate the commission he gets on sales worth sh. 280 000. (3mks)
5. A cylindrical can of diameter 20cm and height 60 cm is filled with water using a cylindrical jar of diameter 12 cm and height 8 cm. how many jar full will fill the can? (4mks)
6. Find the volume of a solid whose cross-section is a right angle triangle of base 4 cm, height 5cm and length 12 cm.
7. A circular pond of diameter 7m is surrounded by a path 2.8 wide. Find the area of the path. (3mks)
8. The area of a sector of a circle radius 63 cm is 4158 cm2. Calculate the angle subtended at the centre of the circle. (3mks)
9. A cylindrical column of fat has diameter 17.5 cm and height 10cm. calculate the density of fat if the column has a mass of 2kg. (3mks)
10.

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