Mapoly postume past questions 2015/2016

Moshood Abiola Polytechnic Postume Past Questions
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Maths
1. Four members of a social first eleven cricket
team are also members of
the first fourteen rugby team.
How many boys play for at least one of the
two teams?
(a) 25
(b) 21
(c) 16
(d) 3
If choice b is selected set score to 1.
2. If f(x) = 2x and f(f(x)) = x + 1, then x =
(a) 1
(b) 2
(c) 3
(d) 1/3
If choice d is selected set score to 1.
3. A university undergraduate has to take 5
courses from a pool of 4
mathematics and 3 physics
courses.In how many ways can he select his
courses so that he takes
exactly two courses in
Physics?
(a) 6
(b) 12
(c) 18
(d) 72
If choice b is selected set score to 1.
4. The probability that a number selected at
random from 1 to 40 is a
multiple of 7 is
(a) 1/10
(b) 1/8
(c) 3/20
(d) 7/40
If choice b is selected set score to 1.
5. The volume of a balloon which is being
blown increases at the rate of
(60-3t2) cm3 s-1, where t is
the tine in seconds. If the initial volumeof the
balloon is zero, its
6) volume after 3 seconds is
(a) 33cm3
(b) 153cm3
(c) 180cm 3
(d) 207cm 3
If choice b is selected set score to 1.
6. The probability that a baby born by a
certain couple will grow up to be
tall . The probability that the
couple will have a tall daughter is
(a) 1/8
(b)
(c) 3/8
(d)
7)If choice a is selected set score to 1.
This table shows the scores of students in a
class test on
MathematicsScore 2 3 4 5 6 7 8No.of
Students 1 4 6 3 3 2 1The probability that a
student selected randomly
scored at least 6 marks is
(a) 0.85
(b) 0.70
(c) 0.30
(d) 0.15
If choice c is selected set score to 1.
8. When the length of a rectangle is doubled
and its width is increased by
4m, its perimeter increases
from 22m to 48m.The original length and
width of the rectangle are,
respectively.
(a) 7m,4m
(b) 5m,3m
(c) 6m, 4m
(d) 9m, 2m
If choice d isselected set score to 1.
9. A snacks shop offers 3 kinds of bread, 5
kinds of meat and three kinds
of margarine flavour.Each
type of sandwich has a combination of
exactly 3 ingredients: 1 bread, 1
meat and 1 margarine
flavour.How many types of sandwiches are
possible?
(a) 30
(b) 45
(c) 60
(d) 15
If choice b is selected set score to 1.
10. Express the product of 0.0014 and 0.011 in
standard form.
(a) 1.54 X 104
(b) 1.54 X 10-3
(c) 1.54 X 10-4
(d) 1.54 X 10-5
If choice d is selected set score to 1.
11. The point (x,y) at which the curve y =
3x2-4x+ 1 has a gradient of -10
is
(a) (-1,8)
(b) (2,341)
(c) (0,1)
(d) (1,0)
If choice a is selected set score to 1.
12. The base diameter of a cylinder is 14cm
while the height is 12cm.
Calculate the total surface area if
the cylinder has both a base and a top.
(a) 836cm2
(b) 528 cm2
(c) 308 cm2
(d) 154 cm2
If choice a is selected set score to 1.
13. A car dealer paid N240,000 for a car. He
added 1/5 of this amount to
what he paid in order to
determine his selling price. What was his
selling price?
(a) N264,000
(b) N288,000
(c) N244,000
(d) N248,480
If choice b is selected set score to 1.
14. P is a probability function of an exhaustive
set S= {w,x,y,z}. if P(x)
= , P (y) = 1/3, P(z) = 1/6, then
P(w) is
(a) 1/72
(b) 1/12
(c)
(d)
If choice c is selected set score to 1.
15. If m > n, then which of the following is not
correct for all values of
m and n?
(a) m < - n
(b) n2 < m2
(c) m2 > n2
(d) 0 < m n
If choice c is selected set score to 1.
16. If a*b = + _/ab evaluate 2*(12*27)
(a) 12
(b) 9
(c) 6
(d) 2
If choice c is selected set score to 1.
17. Three balls are drawn one after the other,
without replacement from a
bag containing 4 blue, 6 white
and 5 red identical
balls.The probability of picking 2 blue and 1
red
ball is
(a) 4/225
(b) 8/273
(c) 2/91
(d) 6/91
If choice d is selected set score to 1.
18. The probability of obtaining an odd number
in a single of a fair die
(a) 1/6
(b) 1/3
(c)
(d) 2/3
If choice b is selected set score to 1.
19. The distribution of boys and girls in two
classes in a certain school
is a follows:Boys GirlsClass A 25
15Class B 20 10If a student is selected at
random, the probability of
selecting a girl is
(a) 17/24
(b) 3/8
(c) 1/3
(d) 5/14
If choice d is selected set score to 1.
20. In which of the following is the number N
the largest?
(a) 10% of N is 12
(b) % of N is 1
(c) 200% of N is 210
(d) 50% of N is 70
If choice b is selected set score to 1.
21. A ball is selected and replaced in a bag
containing blue, green and red
identical balls. The results of
50 selections are shown below.Colour of ball
Blue Green RedNo of
occurrences 8 15 27The
experimental probability of picking either a
blue or a red ball is
(a) 0.70
(b) 0.54
(c) 0.30
(d) 0.16
If choice a is selected set score to 1.
22. Let P be a probability function on set S,
where S = (a1, a2, a3, a4).
Find P(a1) if P(a2) = 1/3, P(a3) =
1/6 and P(a4) = 1/5
(a) 7/10
(b) 2/3
(c) 1/3
(d) 3/10
If choice d is selected set score to 1.
23. The variance of the scores 1, 2, 3, 4, 5 is
(a) 1.2
(b) 1.4
(c) 2.0
(d) 3.0
If choice c is selected set score to 1.
24. The equation of the line which passes
through the point (-1,3) and is
parallel to theline 2x+3y=5 is
(a) 3x+2y=3
(b) 2x+3y=7
(c) 2x +3y=11
(d) 3x-2y=-9
If choice b is selected set score to 1.

25. Which of the following figures has the greatest number of lines of
symmetry?
(a) Equilateral triangle
(b) Circle
(c) Rectangle
(d) Square
If choice b is selected set score to 1.
26. Three guests X, Y and Z arrive in that order
for a dinner party. If
guests are served randomly, the
probability that the three guests will be
served in the sequence of
their arrival is
(a) 1/6
(b) 1/3
(c)
(d) 2/3
If choice a is selected set score to 1.
27. If y = cosec x , dy/dx is
(a) cos x sec x
(b) tan x cosec x
(c) cot x cosec x
(d) cot x sec x dx
If choice c is selected set score to 1.
28. A group of 40 adults read either
newspapers or magazines. If 20 read
newspapers and 35 read
magazines, the probability that one of them
reads both newspapers and
magazines is
(a) 3/8
(b) 2/3 |
(c) 3/11
(d)
If choice a is selected set score to 1.
29. The graph of f(x)2 = x2 - 5x + 6 crosses
the xaxis at the points.
(a) (-6,0), (-1,0)
(b) (-3.0), (-2,0)
(c) (-6,0), (1,0)
(d) (2,0), (3,0)
If choice d is selected set score to 1.
30. In which of the following is the number N
the smallest?
(a) 10% of N is 12
(b) % of N is 1
(c) 200% of N is 210
(d) 50% of N is 70
If choice c is selected set score to 1.
31. The probability that the two dice in
question 26 will show the same
number of point is
(a) 1/36
(b) 1/6
(c) 1/3
(d)
If choice b is selected set score to 1.
32. Two cards are drawn, one after the other,
with replacement from a pack
of 52 cards containing four
aces and four queens.The probability that the
cards are either both aces
or both queens is
(a) 4/13
(b) 2/13
(c) 2/221
(d) 2/169
If choice d is selected set score to 1.
33. A restaurant has 10 booths that will seat
up to 4 people each. If 20
people are seated in booths, and
no booths are empty, what is the greatest
possiblenumber of booths that
could be filled with 4
people?
(a) 0
(b) 1
(c) 2
(d) 3
If choice d is selected set score to 1.
34. The cost of 2 orange drinks and 3 biscuits
is N4.60. If the cost of 2
biscuits is N2.20, what is the cost
of 2 orange drinks?
(a) N0.65
(b) N1.20
(c) N1.30
(d) N2.40
If choice c is selected set score to 1.
35. In a triangle XYZ, <XZY.
(a) 12o
(b) 56o
(c) 68o
(d) 78o
If choice c is selected set score to 1.
36. The binary operation * is defined over the
set of real numbers byi. m*n
= 2(m + n) +mnii. if 5*y = 2*y,
the value of y is
(a) 5
(b) -2
(c) 2
(d) 5
If choice b is selected set score to 1.
37. Four cars, A, B, C and D, finished a race
with the following respective
times for completing the
course: 6 hours, 5 11/12 hours, 6 1/12 hours
and 5 5/6 hours.Which car
finished the race first?
(a) Car A
(b) Car B
(c) Car C
(d) Car D
If choice d is selected set score to 1.
38. Which of the following is the set of all real
numbers x such that x +
3> x + 5 ?
(a) The empty set
(b) The set containing all real numbers
(c) The set containing all negative real
numbers
(d) The set containing all nonnegative real
numbers
If choice a is selected set score to 1.
39. George'sbest long jump distance increased
by 10% from 2000 t0 2001 and
by 20% fr0m 2001 to
2002what percent did her best long jump
distance increse from 2000 to
2002 ?
(a) 15%
(b) 30%
(c) 32%
(d) 20%
If choice c is selected set score to 1.
40. The perpendicular distance of the point
(2,-1) from the line 3x-4y+5=0
is
(a) 2
(b) 5
(c) 4
(d) 3
If choice d is selected set score to 1.

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