2009 - JAMB Mathematics Past Questions and Answers - page 5

41
No. of Days123456
No. of students202x6040x50

The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for t least four days in the term
A
180
B
120
C
110
D
40
correct option: b

20 + 2x + 60 + 40 + x + 50 = 250

170 + 3x = 260

3x = 260 - 170

3x = 90

x = 90/3 = 30

At least 4 days

4 days = 40

5 days = 30

6 days = 50

Total = 120

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42
The pie chart above represents 400 fruits on display n a grocery store. How many apples are in the store
A
45
B
50
C
60
D
75
correct option: b

Sectorial angle of apple

100 + 100 + 115 + x = 30o

315 + x = 360

x = 360 - 315

x = 45o

360o represents 400

1o represents 400 / 360

45o represents (400/360) x (45/1)

= 50 apples

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43
The probability of a student passing any examination is 2/3. If the students takes three examination, what is the probability that he will not pass any of them
A
2/3
B
4/9
C
8/27
D
1/27
correct option: d

P(pass) = 2/3

P(not pass) = 1 - 2/3 = 1/3

P(not passing any of the 3 Exams) = 1/3 x 1/3 x 1/3

= 1/27

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44
5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively an d have a mean of 5.7. Find the value of k
A
4
B
3
C
2
D
1
correct option: c
xffx
5315
8216
6424
kik
f=10fx=55+k

Mean = fx
fx

5.7 = 55+k
10

57 = 55 + k

k = 57 - 55

k = 2

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45
What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2?
A
0.5
B
1.0
C
1.5
D
2.0
correct option: a
xxx-X/x-X/
x1-11
2x200
x+1200
3x311
∑/x-X/=2

Mean = x+2x+x+1+3x
____4

2 = 7x+1
_4

8 = 7x+1

7x = 8-1

7x = 7

x = 1

Mean deviation = ∑/x-X/
__n

= 2
4

= 1
2

= 0.5

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46
In how many ways can a delegation of 3 be chosen from 5 men and 3 women. If at least 1 man and 1 woman must be included?
A
15
B
28
C
30
D
45
correct option: d
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47
In how many ways can 9 people be seated if 3 chairs are available
A
720
B
504
C
336
D
210
correct option: b
9P3 = _9!ways
(9-3)!

= 9!
6!

= 9x8x7x6!
___6!

= 504 ways

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48
Marks23456789
No. of students34104521

The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pas mark is 5
A
3
5
B
2
5
C
7
20
D
1
5
correct option: a

Total number of students = 20

MarksNo. of students
50
64
75
82
91
12

P(passing)= 12
20

= 3
5
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49
Subtract 164189 from 186309
A
11219
B
21129
C
21139
D
22119
correct option: d

You borrow 1 which transforms to 9, because of it's base

1863099

-164189

________

22119


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50
If 55x + 52x = 7710, find x.
A
5
B
6
C
7
D
10
correct option: c

5 x X1 + 5 x XO + 5 x X1 + 2 x XO = 77

5X + 5 + 5X + 2 = 77

10X + 7 = 77

10X = 77 - 7

10X = 70

X = (\frac{70}{10})

= 7

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