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## mock exam mathematic questions

```MATHEMATICS
1.Simplify (v0.7  +  v70)2
A.70.7  		B.84.7
C.217.7		D.168.77
2.  Without using tables, evaluate
(343)1/3 x (0.14)-1 x (25)-1/2
A.12		B.10
C.8		D.7
3. In a school,220 students offer Biology or Mathematics or both.125 offer Biology and 110 Mathematics. How many offer Biology but not Mathematics?
A.110		B.95
C.80		D.125
4.Evaluate
 Correct to four significant figures
A.0.01285		B.0.1286
C.o.1285		D.0.01286
5.A trader bought goats for ?4,000 each.He sold them for ?180,000 at a loss of 25%.How many goats did he buy?
A.50		B.60
C.36		D.45
6. Simplify	52.4 – 5.7 – 3.45 – 1.75
A.42.1		B.41.4
C.42.2		D.41.5
7.The range of the data k +2, k – 3, k – 2, k – 5
k-1 and k + 6 is
A.11		B.10
C.8		D.6

8.The acres of rice, pineapple,cassava,cocoa and palm oil in a certain district are given respectively as 2,5,3,11 and 9.What is the angle of the sector for cassava in a pie chart?
A.180		B.36
C.60		D.108
9. The probability of a student passing any examination is 2/3.If the student takes three examinations,what is the probability that he will not pass any of them
A.4/9		B.2/3
C.1/27		D.8/27
10.The mean of a set of six  numbers is 60.If the mean of the first five is 50,find the sixth number in the set
A.95		B.100
C.110		D.105
11. Calculate the mesan deviation of the set of numbers 7, 3, 14, 9, 7 and 8
A.1 1/6		B.2 1/6
C.2 1/3		D.2 ½
12.

The Venn diagram above shows the number of students offering Music and History in a class of 80 students. If a student is picked at random from the class, what is the probability that he offers Music only?
A.0.25		B.0.38

C.0.50		D.0.13
13.Find the mean of the data 7, -3, 4, -2, -5, -9, 4, 8, -6, 12.
A. 4		B. 3
C. 2		D. 1

14.
No of days
1
2
3
4
5
6

No of Students
20
X
50
40
2x
60

The distribution above shows that the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in a term?
A, 210		B. 160
C. 120		D. 40
15. How many three digits numbers can be formed from 32564 without any digit being repeated?
A. 60		B. 120
C. 10		D. 20
16. Find the derivative of y = sin2(5x) with respect to x.
A. 5sin5xcos5x   B. 2sin5xcos5x
C. 15sin5xcos5x    D. 10sin5xcos5x
17. The slope of the tangent to the curve y=3x2-2x+5 at the point (1,6) is
A. 6		B. 5
C. 4		D. 1
18. Evaluate

A. -        B. 
C.            D.-  
19. If y = x2 -   
A. 2x + 1/x2		B. 2x + x2
C. 2x - 1/x2		C. 2x - x2
20. If  = 2x-3 and y =3 when x=0, find y in terms of x
A. x2-3x-3		B. 2x2-3x
C. x2-3x+3		D. x2-3x

21. A circle witha radius 5cm has its radius increasing at the rate of 0.2cms-1 . what will be the corresponding increase in the area?
A.   		B. 2
C. 4		C. 5
22. Find the maximum value for y in the equation y =1 -2x-3x2
A. 		B. 
C. 		D. 
23.  Find the range of values of x for which   -  < 4
A. x < 8		B. X > -6
C. x < 6		D. X > -3
24. Make r subject of the formula  = 
A.	B.
C.	D. 
25.If P  = and I is a 2 x 2 unit matrix,evaluate P2 – 2p + 4I
A	B
C.	C.
26.If -2 is the solution of the equation     2x + 1 -3c = 2c + 3x – 7,find the value of c.
A.2		B.3
C.4		D.1
27.The inverse of the function f(x)=3x + 4 is
A.1/4(x+3)	B.1/5(x-5)
C.1/3(x-4)	D.1/3(x+4)
28.Solve for x in the equation
X3  -  5x  x  +  5  =  0
A.-1,1 or-5	B.1,-1 or 5
C.1,1 or 5	D.1,1 or -5
29.If the 9th term of an A.P. is five times the 5th term, find the relationship between a and d.
A.3a+5d=0	B.a+2d=0
C.2a+d=0	D.a+3d=0
30.The time taken to do a piece of work is inversely proportional to the number of men employed.If it takes 45 men to do a piece of work in 5 days,how long will it take 25 men?
A.15 daays	B.12 days
C.9 days 	D.5days
31.The binary operation * is defined on the set of integers p and q by
P*q=pq + p + q. Find  2* (3 * 4)
A.67		B.19
C.38		D.59
32.If  N=, find  |N|
A.65		B.23
C.17		D.91
33.The sum to infinity of the series
1 + 1/3 +1/9 + 1/27 +.........is
A.10/3		B.11/3
C.3/2		D.5/2
34. If x varies directly as vn and x=9 when n=9, find x when n= 17/9
A.v3		B.4
C.v17		D.27
35.The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?
A.40		B.20
C.10		D.12
36.The locus of a point P which iis equidistant from two given points S and T is
A.the angle bisector of PS and ST
B.a perpendicular to ST
C.the perpendicular bisector of ST
D.a line parallel to ST
37.Find the coordinate of the midpoint of x and y intercepts of the line  2y = 4x – 8.
A.(1,-2)	B.7, 0)
C.(-1,-2)	D.(1,2)
38.A bucket is 12cm in diameter at the top,8cm in diameter at the bottom and 4cm deep.calculate its volume.
A.128/3 ?cm3		B.72 ?cm3
C.304/3 ?cm3		D.144 ?cm3
39/.A hunter 1.6 m tall, view a bird on top of a tree at an angle of 45.If the distance between the hunter and the tree is 10.4m, find the height of the tree.
A.12m		 B.10.4m
C.9.0m		D.8.8m
40.A chord of a circle subtends an angle of 120 at the centre of diameter 4v3cm.Calculate the area of the major sector.
A.8?cm2	B.32 ?cm2
C.4?cm2	D.16 ?cm2
41.If tan? = 4/3, calculate  sin2?  -   cos2?
A.24/25	B.16/25
C.9/25		D.7/25
42.Find the equation set of points which are equidistant from the parallel lines x=1 and x=7
A.x=3		B.x=4
C.y=4		D.y=3
43.A solid hemisphere has radius 7cm.Find the total surface area
A.66 cm2	B.308 cm2
C.400cm2	D.462cm2
44.Find the value of 2y - ?x  +  4  =  0 is perpendicular to the line  y  +  1/4x  -  7 =0
A.8		B.4
C.-4		D.-8
45.The sum of four numbers is 12145. What is the average expressed in base five?
A.411		B.401
C.114		D.141
46.A woman buys 270 oranges for ?1800.00 and sells at 5 for ?40.00.What is her profit?
A.?1620.00	B.?630.00
C.?360.00	D.?2,160.00
47.If    =’  find the value of x
A.-5		B.-2
C.2		D.5
48.Three consecutive terms of a geometric progression are given as  n-2, n and n+3.Find the common ratio.
A.3/2		B.2/3
C.1/2		D.1/4
49.x varies directly as the product of u and v and inversely as their sum. If x=3 when u=3 and v=1? What is the value of x if u = 3 and v=3
A. 9		B.3
C.4		D.6
50.A matrix P has an inverse  P-1  =  Find P
A.	B.
C.	D.

```

### mock exam mathematic guide

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