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THIRD TERM  EXAMINATION, 2010/2011 SESSION.
SUBJECT: MATHEMATICS 1(OBJECTIVE)
CLASS: SSS 1      	              TIME ALLOWED: 2½HRS

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)A                                                                                      		(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 in S.S1  in 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 35 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 <6} and Q= {x: 2<x <10}, where x is an integer. Find
n(PQ) (a) 4  (b) 6  (c) 8  (d) 10
22.   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
23.  A rectangle has length xcm and width (x-1)cm. if the perimeter is 16cm. find the
value 0f x.(a) 3   cm (b) 4cm (c) 4cm (d) 5cm
24.  The mean of the data 40,38 y,y,x,32 is 36, what is the relationship between x
and y?
(a)   2y+x =216  (b) x+2y =110  (c) 2y+x =106  (d) 2x-y =36
25  If sin3y=cos2y and 00  y  900 , find the value of y.
(a) 18o  (b) 360  (c) 540  (d) 900

26   The angle of elevation of the top of a tower  from a point on the horizontal
ground,40m away from  the foot of the tower is 300. Find the height of the tower.
(a) 20m  (b) m     (c) 20m   (d)  40m
27   Factorize 3x2-75 (a) 3(x+5)2   (b)3(x-5)2 5(x+3)(x-3)   (d)  3(x+5)(x-5)
28   Find the quadratic equation whose root are y=7and y=-2
(a) y2+2y-7=0  	(b) y2-2y+7=0 	(c)  y2-5y-14=0  	(d)  y2+5y+14=0
29     8n= 321.5,find n  (a) 1.5  (b) 2.5  (c)3  (d) 4

30
X
1
2
3
4
5

f
y+2
y-1
2y-3
Y+4
3y-4

         The table above shows the frequency distribution of a data. the mean is ,
find y.  (a) 1 (b) 2  (c) 3  (d) 4
31.   Find the standard deviation of the following data  -5,-4,-3,-2,-1,0,1,2,3,4,5.
(a)2  (b) 3  (c)    (d)  
32    Simplify  2-3x16 3/4x20     (a)  0  (b)1  (c)2  (c)  
33   A ladder 6m long leans against a vertical wall so it makes an angle of 600 with
the wall.  Calculate the  the distance of the ladder from the wall.
(a) 3m  (b)  6m  (c)  2  (d)3
34.     Factorize  
(a)2(y+3) (3y-2)   (b)6(y-2)(y+1)   (c )  2(y-3)(3y+2)  (d) (3y -4)(2y+3)

35. What is the length of a rectangular garden whose perimeter is 32cm and area
39cm2?         (a) 25cm     (b) 18cm   (c) 13cm    (d) 9cm
36. How many times, correct to the nearest whole number, will a man run round a
circular track of diameter 100m to cover a distance of 1000m?
(a) 3   (b) 4  (c) 5   (d) 6
37. What is the mode of the numbers 8, 10, 9, 9, 10, 8, 10, 9, 8, and 14?
(a) 8   (b) 9   (c) 10   (d) 11  (e) 14
38  From the top of a cliff, the angle of depression of a boat on the sea is  600 . if the
top of the cliff  is 25m above the sea level, calculate the horizontal distance from
the bottom of the cliff  to the boat.
(a)50m  (b) 25m  (c) m (d)  m
39     The following are factors of 2x2 -2  except    (a)x-1  (b)x+1  (c)2x-2   (d) 2x+1
40     Solve the equation (a-7)(a+2)
(a) a= -2 or  7   (b)a=2 or 7  (c)a—7 or 8  (d) a=-4 or 5

41.   The locus of a point which moves in a plane such that it is equidistant from two
fixed points A and B is
(a) The bisecor of the line segment AB    (b)  The line perpendicilar to the line
segment AB   (c) A circle with line AB as diameter  (d) A line parallel to the line
segment AB
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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