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THIRD TERM  EXAMINATION, 2010/2011 SESSION.
SUBJECT: FURTHER MATHEMATICS 1(OBJ)
CLASS:       	           		TIME ALLOWED:

Find the product of 0.045 and 0.391 in three significant figures				          (a) 0.0175	 (b) 0.0176	(c) 0.175	(d) 0.176
Simplify	 leaving your answer in standard form				          (a) 1.4 X10-3	           (b) 2.8X10-3	(c) 8.2X10-3(d) 2.8X103
Find the coefficient of xy in the expansion of (x-4y)(3x+2y) (a) 14 (b) 12 (c) 10 (d) -10
If sin P =, 0  p 900, find the value of 1-tanP  (a) 4/5 (b) 3/4(c) 1/3 (d) 1/4
If  A= { 1,2,3,…,10};  B= { -5, -4, …,-1};  C={-1,0,1,2,…,5}
List all the elements in (BUC)C   (a) {-1,2,…,5} (b) {-1,1,…,5}  {c} {1,2,…,5} (d) {2,3,…,10}.
If 7 is subtracted from twice a certain number x, the result is 5. What is the number?  (a) 6  (b)  5  (c)  4  (d)  3
Below is a table showing    the ages of S.S1 students in Ayegbe High School

Age
12
13
14
15
16
17
18

Number of students
5
12
10
3
3
5
2










Using the above table, answer questions 7-9
How many students are the S.S1 students of Ayegbe High School? (a) 10 (b) 20 (c) 30 (d) 40.
What percentage of the students are at least 16 years of age?  (a) 35%  (b) 30%  (c) 25%  (d)20%
Calculate the median age of the students.  (a) 14years (b) 14years 3months  (c)  13years 6months   (d) 13years.
The mean height of 3 groups of students consisting of 20,16 and 14 students are 1.67m, 1.50m and 1.40m respectively. What is the mean height of all the students?  (a) 1.54m (b) 1.53m (c) 1.52m (d) 1.51m
The angle of elevation 0f the top (T) of a palm tree from a point (P) on the ground is 300. the distance from P to the base (B) of the palm tree is 120m. What is the distance between T and P?  (a)60m (b)60v3m   (c)80v3m (d)120v3m
What is the total surface area of a cuboid whose dimensions are 12cm x 8cm x 3cm?  (a) 300cm2(b) 312cm2  (c) 288cm2  (d) 156cm2
Given that T={ x :-2< x9} where x is an integer. What is n(T)? (a) 11 (b)12  (c) 13  (d) 14
Simplify: 1+ 2 x  -     (a) -2  (b) -2  (c)2  (d) 2
15       Correct 0.002 473 to 3 significant figures.  (a)0.002  (b) 0.0024 (c)0.00243   (d)0.00247

BAR CHART

The bar chart above  shows the marks distribution in English test. Use the bar chart to answer 16-18
16	If 50% is the pass mark, how many students passed the test?   (a) 85  (b) 80  (c) 75
(d)70
17      what is the modal mark?  (a)35  (b)40  (c)50  (d) 65
18      How many students took the part in the English test?  (a)100  (b) 180  (c) 190
(d) 200
19      What percentage of students had marks ranging from 30 to 50?        				(a)65%     (b)  66%   (c) 67%  (d) 67%

20     Given that 5n+3/ 252n-3 =50, find n.(a) 1 (b) 2 (c) 3 (d) 5
21    Given that P= {x:1x <10} and Q= {x: 2<x <10}, where x is an integer. Find
n(PQ) (a) 4  (b) 6  (c) 8  (d) 10
An empty rectangular tank is 250cm long 120cm wide. If 180 litres of water is
Poured into the tank, calculate the height of the water.  (a) 6.0cm  (b) 5.5cm
5.0cm (d) 4.5cm
A rectangle has length xcm and width (x-1)cm. if the perimeter is 16cm. find the
vaue 0f x.(a) 3   cm (b) 4cm (c) 4cm (d) 5cm
42.  	The locus of a point which moves in a plane such that it is equidistant from a fixed    point            O is   (a) A hollow sphere centre O radius OP.  (b) A solid sphere center O radius OP.  (c) A circle     centre O radius OP. (d) A parabola vertex O focus P.
43.   Given that the circumference of a circle is 72cm. Calculate its radius. (Take ?= ).
(a) 11.45cm  (b) 11.54cm  (c)  11.55cm  (d) 10.45cm
44. Evaluate 81-1/4x361/2x100  (a) 0  (b) 1  (c)2  (d) 20
45.   The angle of elevation of the top of  a tree 39m away from a point on the ground is 300 Find the
height of the tree.  (a)  39m (b) 13m   (c) m  (d) m.
46..Find the mean deviation of the set of numbers, 4,5,9. (a) 0  (b)2   (c)5  (d)  6
47  Find the difference between the range and the variance of the following set of numbers: 4,9,6,3,2,8,10,5,6,7  (a) 2  (b) 3  (c) 4  (d) 6
48.

In the figure above the line CD is called a  (a) Normal  (b) Bisector  (c)  Mediator
(d)Median.
49.  Find the area of a sector of a circle of radius 3m,subtending an angle of 600 at the centre.[take =].  (a) 4.0m2  (b) 4.1m2  (c)  4.7m2   (d)  5.0m2.
50.   Find the range of the numbers -1,-5,-3,1,5,4.  (a)5 (b) 6  (c) 8   (d)10
.

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