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## ss3 obj maths questions

```
FIRST TERM  EXAMINATION, 2010/2011 SESSION.
SUBJECT: MATHEMATICS 1(OBJECTIVE)
CLASS: SSS 3	       	         TIME ALLOWED: 2˝HRS

Calculate the size of an interior angle of a regular hexagon
720°	b. 120°		c. 270°	     	d. 102°
The difference between 4 and 2 is greater than the sum of  and1 by
          	b.          	c.           	d. 
What is the length of an arc of a circle that subtends an angle of  at the center of a circle of radius 8cm?
10cm	b. 8cm		c. 40cm	d. 20cm
The first term of an arithmetic progression is 3 and the fifth term is 9. Find the number of terms in the progression if the sum is 81.
12		b. 27		c. 9		d. 4
Find a two digit number such that three times the tens digit is two less than twice the units digit, and twice the number is 20 greater than the number obtained by reversing the digits.
42		b. 47		c. 24		d. 74
If x varies inversely as y, y varies directly as the square of t and x = 1 when t = 3. Find the value of x when t =.
81		b. 27		c.                  d. 
In the diagram below, O is the centre of the circle. If the reflex angle ZOY = 300°, find ?ZXY.
a. 60°
b. 50°
c. 40°
d. 30°

Express:  as a single fraction.




Use the following information to answer questions 9 and 10.
A distance of 5.6km is represented by a length of 28mm on the map.
What is the scale of the map?
2 ×  : 1        b. 2 ×  : 1       c. 2 ×        d. 2 × 
What length on the ground does 10cm on the map represent?
2 km          b. 20 km          c. 200 km          d. 2000 km
A rectangular lawn is (x – 2) m long and (x – 3) m wide. If the perimeter is 70 m, calculate the area of the lawn.
289      b. 306         c. 324           d. 400 
In the diagram below, WX is parallel to YZ and MN is a transversal. Express p in terms of t.
p = t – 5
P = t – 15
P = t + 10
P = t + 15

Solve : 
– 1		b.               c.                   d. 1
By selling an article for ?450:00, Abu lost 10% of the cost price. Find the cost price.
?550.00	b. ?525.00	c. ?500.00	d. ?475.00
A point on the ground is 8 m away from the foot of a vertical wall 6 m high. Calculate correct to the nearest degree, the angle of depression of the point from the top of the wall.
53°		b. 45°		c. 37°		d. 30°
In the diagram below, POQ is a quadrant of a circle centre O and radius 14 cm. Use this information to answer questions 16 and 17. Take  to be     .

Calculate the length of the minor arc PQ.
11 cm	b. 22 cm	c. 44 cm	d. 66 cm

Calculate the perimeter of the minor sector POQ.
94 cm	b. 80 cm	c. 50 cm	d. 39 cm
To locate Musa’s house from his house, Okey has to move 7 km due east and 7 km due north. Find the bearing of Musa’s house from Okey’s house.
225°	b. 135°		c. 090°		d. 045°
Find the value of x for which the expression  is undefined.
x = -3 or 3
x = -1 or 4
x = 1 or 4
x = 1 or 3
If   is a perfect square, what is the value of k?
25		b. 		c. -25		d. 
If two straight line segments, PQ and RS intersect at a point T such that ? PTR = 2x + 2 and ? PTS = x + 4, calculate the value of ? PTR.
60°		b. 62°		c. 118°		d. 120°
In the diagram, ? MNL = 30°, ? JKL = 73° and ? MLK = x°. Find x.

77°
81°
103°
107°

Solve the inequality: 
x = 9	b. x = 9	c. x = -9	d. x = -9
In the diagram, PQTV is a parallelogram. ? TRS = 110° and ? PVT = 80°. Calculate the size of ? QTR.
50°
40°
20°
10°

A coin is thrown three times. What is the probability of having three heads or three tails in this experiment?
		b. 		c. 		d. 
Calculate the total surface area of a cube of side 5 cm.
150  	b. 120 	c. 100 	d. 75 

Obi has four times as many sweets as Olu. If he gives 21 sweets to Olu, they will have equal number of sweets. How many sweets have Obi?
56		b. 52		c. 48		d. 44
In the figure below, ? PQT = ? PSR = 65° and ? PTQ = ? PRS = 45°. Which of the following statements about triangles PTQ and PRS is\are CORRECT?



I, II and III
II and III only
I and III only
I and II only.

The probability that a boy passes an examination is 0.3 and that of a girl is 0.4. What is the probability that a boy and a girl will pass?
0.10	b. 0.12		c. 0.42		d. 0.70
Each interior angle of a regular polygon is 144°. How many sides have the polygon?
6		b. 9		c. 10		d. 12
From the figure below calculate ? QRS

280°
80°
70°
40°

Find the sum to infinity of the following series 3 + 2 +  +  +  + …
1270	b. 190		c. 18		d. 9
Simplify; 
		b.  		c. 1		d. 
The number  converted to base ten is equal to
4		b. 23		c. 49		d. 53
A man spent  of his monthly salary on rent and  of the remainder on the household needs. If ?135.00 is left, how much is his monthly salary?
?450.00	b. ?225.00	c. ?192.85	d. ?125.00
Simplify; 
Log 2	b. log 8	c. 1		d. 0
In the diagram, if PS = SR and PQ is parallel to SR, what is the size of angle PQR?

25°
50°
55°
65°

Find the area of the shaded portion in the figure below, if the triangle is an equilateral triangle of area 8  and the circle center O is of diameter 6 cm.

4.714 
3.286 
7.999 
9.437 

An open rectangular box externally measures 4m x 3m x 4m. Find the total cost of painting the box externally if it costs ?4.00 to paint one square meter.
?136.00	b. ?272.00		c. ?408.00		d. ?544.00
The sum of the interior angles of a regular polygon is 30 right angles. How many sides have the polygon?
17 sides	b. 26 sides		c. 30 sides		d. 34 sides
If  = 1.732, find the value of  without using tables.
0.732	b. 1.346		c. 1.155		d. 3.464
The nth term of a sequence is. Which term of the sequence is?
3rd		b. 4th			c. 5th			d.6th
A boy estimated his transport fare for a journey as ?190.00 instead of ?200.00. Find the percentage error in his estimate.
95%	b. 47.5%	c. 5.26%	d. 45%

A man is four times as old as his son. The difference between their ages is 36 years. Find the sum of their ages.
45 years 	b. 60 years 	c. 48 years	d. 74 years
In the diagram below, /AD/ = 10 cm, /DC/ = 8 cm, and /CF/ = 15 cm. Use the information to answer questions 45 and 46

If the area of triangle DCF = 24, find the area of Quadrilateral ABCD.
24	b. 48	c. 80	d. 96
Which of the following is correct?
Area of BCF = Area of DCF
Area of DABO = Area of CFEO
Area of ADE = Area of DCFE
The table below shows the scores of a group of 40m students in a mathematics test. Use the table to answer questions 47 and 48.
SCORES
    1
    2
    3
    4
    5
    6
    7
    8
    9

FREQUENCY
    2
    3
    6
    7
    9
    6
    2
    2
    3


If the mode of m and the median is n, then (m,n) is
(5,5)	b. (5,6)		c. (6,5)		d.(9,5)
What is the mean of the distribution?
5.2		b. 5.0		c. 4.8		d. 4.2
The diagram below shows a triangular prism of length 7cm. The right angled triangle PQR is a cross section of the prism. /PR/ = 5cm and /RQ/ = 3cm. Use the information to answer questions 49 and 50

What is the area of the cross-section?
4cm2	b.  6cm2	c.  15cm2	d.  20cm2
What is volume of the prism?
28cm3		b.  42cm3	c.  70cm3	d.  84cm3

```

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