# MATHEMATICS (2016) | Study Mode

Question 21
A
1.36 x 10-4
B
1.36 x 10-3
C
1.36 x 10-1
D
1.36 x 10-2
##### Explanation
$$\frac{0.026 \times 0.36}{0.69}$$ = $$\frac{26 \times 10^-3 \times 36 \times 10^-2}{69 \times 10^-2}$$

= 0.01356 = 1.36 x 10-2

Question 22
A
15
B
25
C
30
D
50
##### Explanation
Let x represent total number of pencils shared
B : S : T
2 : 3 : 5

2+3+5 = 10
$$\frac{2}{10}$$ x x = 5
$$\frac{2x}{10}$$ = 5
2x = 50
x = 25

Question 23
A
18cm
B
(18 + $$\frac{9\pi}{5}$$)cm
C
(9 + $$\frac{9\pi}{5}$$)cm
D
$$\frac{9\pi}{5}$$cm
##### Explanation
Perimeter = 2r + $$\frac{\theta}{360}$$ x 2$$\pi$$r
2(9) + $$\frac{36}{360}$$ x 2 x $$\pi$$ x 9 = 18 + $$\frac{9\pi}{5}$$

Question 24
A
$$\frac{23}{5}$$
B
-$$\frac{23}{5}$$
C
$$\frac{1}{8}$$
D
$$\frac{21}{7}$$
##### Explanation
$$\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}$$

$$\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}$$ = $$\frac{3\sqrt{27} - 3\sqrt{8}^2}{\sqrt{16} \times 2}$$

$$\frac{3 - 4}{4 \times 2}$$
= $$\frac{-1}{8}$$

Question 25
A
3
B
5
C
4
D
6
##### Explanation
Mean = $$\frac{(2 \times 3) + (3 \times 6) + (4 \times 5) + (2 \times 6)}{2 + 3 + 4 + 6}$$

= $$\frac{6 + 18 + 20 + 12}{15}$$ = $$\frac{56}{15}$$

= 3.73

Question 26
A
3x2 - $$\frac{4}{x}$$
B
2x2 +$$\frac{4}{x^2}$$
C
3x2 + $$\frac{4}{x^2}$$
D
2x2 - $$\frac{4}{x}$$
##### Explanation
y = $$\frac{2}{3}$$x3 - $$\frac{4}{x}$$

$$\frac{dy}{dx}$$ = 2x2 - Lx-2 = 2x2 + $$\frac{4}{x^2}$$

Question 27
A
14.09
B
14.1
C
14.12
D
14.11
##### Explanation
$$\frac{0.8 \times 0.43 \times 0.031}{0.05 \times 0.72 \times 0.021}$$ x $$\frac{10}{10}$$ = 14.11

Question 28
A
6$$\pi$$cm
B
2$$\pi$$cm
C
3$$\pi$$cm
D
9$$\pi$$cm
##### Explanation
Length or arc = $$\frac{\theta}{360}$$ x 2$$\pi$$r

= $$\frac{30}{360}$$ x 2 x $$\frac{22}{7}$$ x 12

= $$\frac{1}{12}$$ x 2 x $$\pi$$ x 2 = 2$$\pi$$cm

Question 29
A
2
B
-1
C
1
D
-2
##### Explanation
$$\int\limits_0^\frac{\pi}{2}$$ sin xdx = -cosx|$$\frac{\pi}{2}$$

= -(cos$$\frac{\pi}{2}$$ - cos0) = -(0-1) = 1

Question 30
A
24cm
B
28cm
C
36cm
D
32cm
##### Explanation
L = $$\frac{\theta}{360}$$ x 2$$\pi$$r
16$$\pi$$ = $$\frac{80}{360}$$ x 2$$\pi$$r

$$\frac{16\pi \times 360}{80 \times 2\pi}$$ = r

r = 36cm

Try this quiz in in E-test/CBT Mode
switch to