2016 - JAMB Mathematics Past Questions and Answers - page 1

1
Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x
A
\(\frac{2x^3}{3}\) - 2x + k
B
x3 + 2x + k
C
\(\frac{2x^3}{3}\) + 2x + k
D
x3 - 2x + k
correct option: c

(\int) (\frac{2x^3 + 2x}{x}) = (\int) (\frac{2x^3}{x}) + (\frac{2x}{x}) = (\int) (2x2 + 2) dx

(\frac{2x^2+1}{2 + 1}) + 2x + k

= (\frac{2x^3}{3})+ 2x + k

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2
If the mean of 4, y, 8 and 10 is 7. Find Y?
A
6
B
10
C
7
D
9
correct option: a

(\frac{4 + y + 8 + 10}{4}) = 7

22 + y = 4 x 7

22 + y = 28

y = 28 - 22 = 6

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3
Find the derivative of y = ( \(\frac{1}{3}\)X + 6)
A
2( \(\frac{1}{3}\)X + 6
B
\(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)
C
\(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)2
D
\(\frac{1}{3}\) ( \(\frac{1}{3}\)X + 6)2
correct option: b

Y = ( (\frac{1}{3})X + 6)2

(\frac{dy}{dx}) = 2( (\frac{1}{3})X + 6) (\frac{1}{3})

= (\frac{2}{3}) ( (\frac{1}{3})X + 6)

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4
In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects?
A
45
B
10
C
35
D
30
correct option: b

80 - x + x + 60 - x + 20 = 150

160 - x = 150

x = 160 - 150 = 10

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5
If the 2nd term of a G.P is \(\frac{8}{9}\) and the 6th term is 4\(\frac{1}{2}\). Find the common ratio.
A
2
B
\(\frac{3}{2}\)
C
\(\frac{2}{3}\)
D
3
correct option: b

T2 = (\frac{8}{9}), T6 = 4(\frac{1}{2})

ar = (\frac{8}{9})

ar5 = (\frac{9}{2})

(\frac{ar}{ar^5}) = (\frac{8}{9}) x (\frac{2}{9})

(\frac{1}{r^4}) = (\frac{16}{81})

r = (\sqrt[4]{18/16}) = (\frac{3}{2})

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6
From the diagram above, find the value of < OTQ
A
230o
B
55o
C
115o
D
65o
correct option: d

< OTQ = (\frac{130}{2})

= 65o

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7
The sum of the interior angles of a polygon is a given as 1080o. Find the number of the sides of the polygon.
A
5
B
7
C
6
D
8
correct option: d

(\frac{(n - 2) 180}{180}) = (\frac{1080}{180})

(n - 2) = 6

n = 6 + 2 = 8

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8
In the diagram above, l1 is parallel to l2, Find the value of < PMT
A
82o
B
36o
C
72o
D
118o
correct option: a

< MPT = 180o - 118o = 62o

< PML = 62o ( Alternative angle)

y + 2y + 10o + 62o = 180o (Angles on a straight line)

3y = 180 - 72

(\frac{3y}{3}) = (\frac{108}{3})

y = 36o

< PMT = 2y + 10 = 2(36) + 10 = 82o

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9
From the diagram above, Find the value of < ROP
A
110o
B
70o
C
95o
D
85o
correct option: c

< ROP = 95o (Exterior angle of cyclic quadrilateral)

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10
The venn diagram shows a class of 50 students with the games they play. How many students play only two games?
A
15
B
16
C
20
D
18
correct option: a

Number of students that plays only two games = 4 + 8 + 3 + = 15

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