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Form 3 Maths Question Paper

Form 3 Maths

Course:Mathematics

Exam Year:2012

ST. BERNARD SECONDARY SCHOOL
END OF TERM 1 EXAMINATION 2012
FORM III
MATHEMATICS EXAM
Answer all questions in this section.
1.Evaluate (3mks)
4v(¦(8.45+2.62@786x0.0007))
If a = (23) and b = (45), find: (4mks)
2a+1/2b
3a-5b

2.Represent the following inequalities on number line.
3x+7 {-5 (2mks)
t/3 {- 5/6 t -4 (2mks)

3.A line, l passes through the point CO, O and is perpendicular to the line 3y = 2x – 2. Calculate the equation of line l in the form y=mx+c. (4mks)
Factorize the following leaving it in the simplest form.
64k2 – 49n2 (3mks)

4.The volume of a right pyramid with a square base is 256cm3. If its height is 16cm. calculate:
The base area (2mks)
The side of the square bas. (2mks)

5.In the figure below, PQRS is trapezium and {SPR = {PQR = X. if PQ = 18cm and Rs = 8cm, find PR. (4mks)

6.In the figure below, find the inequalities which describe the shaded region. (4mks)

7.The L.C.M of 15, 18 and a third number is 180. Find the number. (3mks)
Save the equation: (p+1)2 + 3p – 1 = 0 (3mks)
Write down the gradient of the line 1/3x = 1/4y + 1/3. (3mks)
Solve for x in:
22x+3 + 83x-1 = 32x (3mks)
Calculate the surface area and volume of a sphere of a radius 14cm. (4mks)
Solve the simultaneously inequalities: (4mks)
7x – 8 {342 and 4x – {135

SECTION B
Answer all questions in this section.
8. a) The amount of milk provided by 20 cows per day to the nearest litre was recorded as below.
No of cows 2 2 4 3 4 5
Amount of milk in liters 8 10 7 9 6 5
Find the mean number of milk of liters produced by the cows. (4mks)
What is the mode of the data? (2mks)
Draw a histogram to represent the data. (4mks)

9. The figure below shows a frustum.
a) Find the radius of the top of the frustum. (3mks)
b) Find the volume of the frustum. (4mks)
c) Find the height of the frustum. (3mks)

10. Illustrate the region defined by the following inequalities on graph paper.
Y=2x+1, y} 4-x, x+y} 2 and x {3 (10mks)

11. a) A shopkeeper makes a profit of sh.200 by selling 20 blankets and 50 towels. He makes a
Loss of sh.7. If he sells 35 blankets and 28 towels of the same kind. Determine the profit
(Or less) on each of the two items sold. (5mks)
If he sold 12 blankets, how many towels should he sell to realize an overall profit of
sh.300? (5mks)

12. A triangle has vertices at P (-1, 3), Q (-3, 5) and R (-2, 8). The triangle is reflected in the line y=3x-1 to get triangle P’Q’R.

Form 3 Maths Question Paper

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