MATHEMATICS (2016) | Study Mode

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Question 1
A
\(\frac{2x^3}{3}\) - 2x + k
B
x3 + 2x + k
C
\(\frac{2x^3}{3}\) + 2x + k
D
x3 - 2x + k
Explanation
\(\int\) \(\frac{2x^3 + 2x}{x}\) = \(\int\) \(\frac{2x^3}{x}\) + \(\frac{2x}{x}\) = \(\int\) (2x2 + 2) dx

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

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

Correct option: C
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Question 2
A
6
B
10
C
7
D
9
Explanation
\(\frac{4 + y + 8 + 10}{4}\) = 7

22 + y = 4 x 7
22 + y = 28
y = 28 - 22 = 6

Correct option: A
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Question 3
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

Explanation

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)


Correct option: B
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Question 4
A
45
B
10
C
35
D
30
Explanation
80 - x + x + 60 - x + 20 = 150
160 - x = 150
x = 160 - 150 = 10

Correct option: B
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Question 5
A
2
B
\(\frac{3}{2}\)
C
\(\frac{2}{3}\)
D
3
Explanation
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 = \(\sqrt[4]{18/16}\) = \(\frac{3}{2}\)

Correct option: B
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Question 6
MATHEMATICS (2016) Q 6 image
A

230o

B

55o

C

115o

D

65o

Explanation
< OTQ = \(\frac{130}{2}\)
= 65o

Correct option: D
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Question 7
A
5
B
7
C
6
D
8
Explanation
\(\frac{(n - 2) 180}{180}\) = \(\frac{1080}{180}\)

(n - 2) = 6
n = 6 + 2 = 8

Correct option: D
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Question 8
MATHEMATICS (2016) Q 8 image
A

82o

B

36o

C

72o

D

118o

Explanation
< 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

Correct option: A
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Question 9
MATHEMATICS (2016) Q 9 image
A

110o

B

70o

C

95o

D

85o

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

Correct option: C
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Question 10
MATHEMATICS (2016) Q 10 image
A

15

B

16

C

20

D

18

Explanation

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


Correct option: A

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