# MATHEMATICS (2016) | Study Mode

Question 11
A
7
B
3
C
6
D
5
##### Explanation
P = 5x + 3, P = wx + 5
M1 = 5, M2 = w
M1 = M2 (parallel lines)
w = 5

Question 12
A
sin4x - cos3x + k
B
sin4x + cos3x + k
C
$$\frac{1}{4}$$sin4x - $$\frac{1}{3}$$cos3x + k
D
$$\frac{1}{4}$$sin4x + $$\frac{1}{3}$$cos3x + k

Question 13
A
15
B
12
C
14
D
13
##### Explanation
x10 = 235
x10 = 2 x 51 + 3 x 50
= 10 + 3
= x10 = 13

Question 14
A

24o

B

39o

C

32o

D

36o

##### Explanation
xo + 36o + 54o + 28o + 90o + 120o = 360o

x + 328o = 360o
x = 360o - 328o
x = 32o

Question 15
A
32
B
36
C
33
D
40
##### Explanation
Range = 32- (-6) = 34 + 6 = 40

Question 16
A
17
B
22
C
20
D
16
##### Explanation
No of visitors = 10 + 5 + 1 = 16

Question 17
A
(k +p)2
B
(k - p)2
C
k2 + p2
D
k2 - p2
##### Explanation
k2 - 2kp + p2 = (k - p)2

Question 18
A
(12 + 4$$\pi$$)cm
B
(24 + 4$$\pi$$)cm
C
(12 + 6$$\pi$$)cm
D
(24 + 6$$\pi$$)cm
##### Explanation
Perimeter = 2r + $$\frac{0}{360}$$ x 2$$\pi$$r
= 2(12) + $$\frac{60}{360}$$ x 2 x $$\pi$$ x 12
= (24 + 4$$\pi$$)cm

Question 19
A
6
B
8
C
7
D
5
##### Explanation
(2 x 4) + (3 x 4) + (4 x y) = 48
8 + 12 + 4y = 48
4y = 48 - 20
$$\frac{4y}{4}$$ = $$\frac{28}{4}$$
y = 7

Question 20
A
{1, 3, 5, 7, 9, 11, 13, 15}
B
{2, 3, 5, 7, 9, 11, 13}
C
{1, 3, 5, 7, 9, 11, 13}
D
{2, 3, 5, 7, 11, 15}
##### Explanation
u = {1, 2, 3, 4, 5......14}
p = {2, 4, 6, 8, 10, 12, 14}
p1 = {1, 3, 5, 7, 9, 11,13}

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