# 2018 April(A09) Math Question 1

**Choice A**

$$slope = \frac{3-(-6)}{5-(-2)}>0$$

# 2018 April(A09) Math Question 2

**Choice J**

(3 - 4i) + (5 + 3i) = 8 - I

# 2018 April(A09) Math Question 3

**Choice C**

$$\frac{630}{x}=\frac{2}{7} $$
$$ x=\frac{630\times7}{2}=2205$$

# 2018 April(A09) Math Question 4

**Choice K**

x = 40 + (180-150) = 70

# 2018 April(A09) Math Question 5

**Choice C**

$$p=\frac{4\times4}{6\times13}\approx 0.21$$

# 2018 April(A09) Math Question 6

**Choice H**

$$9x-y-5=0 \\$$
$$\Rightarrow 9x-5=y \\$$
$$\Rightarrow y=9x-5$$

# 2018 April(A09) Math Question 7

**Choice A**

$$XY=5k\\$$
$$YZ=9k \\$$
$$\Rightarrow XZ=14k\\$$
$$\Rightarrow \frac{XY}{XZ}=\frac{5k}{9k}=\frac{5}{9}$$

# 2018 April(A09) Math Question 8

**Choice G**

$$2x+4\geq -8 \\$$
$$\Rightarrow 2x\geq -8-4 \\$$
$$\Rightarrow x\geq \frac{-8-4}{2}\\$$
$$\Rightarrow x\geq -6$$

# 2018 April(A09) Math Question 9

**Choice E**

$$(a^3)^{21}=a^{3\times21}=a^{63}$$

# 2018 April(A09) Math Question 10

**Choice G**

$$f(-3)=3(-3)^2+7(-3)-8=-2$$

# 2018 April(A09) Math Question 11

**Choice D**

$$2a+(a+3)=93\\$$
$$a=30\\$$
$$a+3=33$$

# 2018 April(A09) Math Question 12

**Choice G**

$$a_1=10 \\$$
$$d=2 \\$$
$$a_n=10+2(n-1)=2n+8 \\$$
$$S_n=\frac {a_1+a_n}{2}\cdot n=\frac {10+2n+8}{2}\cdot n=220 \\$$
$$n=11$$

# 2018 April(A09) Math Question 13

**Choice B**

$$\frac {9+x}{2}=3 \\$$
$$\frac {-11+y}{2}=-7 \\$$
$$\Rightarrow x=-3 ,\ y=-3$$

# 2018 April(A09) Math Question 14

**Choice J**

$$t+v=200\\$$
$$10t+6v=1400\\$$
$$\Rightarrow t=50,\ v=150$$

# 2018 April(A09) Math Question 15

**Choice E**

$$10\% \times 1800+200=380$$

# 2018 April(A09) Math Question 16

**Choice K**

$$median=250 \\$$
$$mean=\frac {200+250+300+150+275}{5}=235 \\$$
$$\Rightarrow median - mean = 250-235=15$$

# 2018 April(A09) Math Question 17

**Choice E**

$$Area = \frac{10\times24}{2}=120 \ dm^2$$

# 2018 April(A09) Math Question 18

**Choice J**

$$Mean = \frac{82+93+68+93+70+x}{7}=85 \\$$
$$\Rightarrow x=91$$

# 2018 April(A09) Math Question 19

**Choice A**

$$\sin A = \frac{7}{25}$$

# 2018 April(A09) Math Question 20

**Choice G**

The longer length of the smaller rectangle (S2) = 12-5=7

$$Total\ area = S1+S2=10 \times 5 + 3 \times 7=71$$

# 2018 April(A09) Math Question 21

**Choice A**

x+(x+3)+(x+5 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 22

**Choice J**

$$t=\frac{480}{4}=120 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 23

**Choice A**

v+c+s=42

c …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 24

**Choice G**

$$BC=\sqrt{AC^2-AB^2 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 25

**Choice C**

$$x=\frac{(-2)+(-1)+(-2 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 26

**Choice H**

$$10, -5, \frac{5}{2 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 27

**Choice C**

**Monday:**

The daily amount for …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 28

**Choice H**

To find the roots of …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 29

**Choice D**

$$BC=\sqrt{AB^2+AC …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 30

**Choice G**

The number of students NOT …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 31

**Choice D**

$$\sqrt{x}+3=6 \\$$
$$\Rightarrow …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 32

**Choice H**

$$\sin A = \frac{3}{4 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 33

**Choice A**

$$3(\log_2 16)=3(\log_2 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 34

**Choice F**

F. is apparently true, because …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 35

**Choice B**

Total distance travelled in 1 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 36

**Choice G**

$$\frac{5 \ seconds}{2.25 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 37

**Choice E**

$$The\ slope \approx \frac{200 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 38

**Choice J**

$$10^5(0.5\times10 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 39

**Choice D**

A. { 10, 10, 10, 10 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 40

**Choice K**

Diameter of the circle = 32-4-4 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 41

**Choice B**

a=30-3-3=24 feet

b …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 42

**Choice F**

$$g(f(x))=\frac{1 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 43

**Choice C**

$$C=2 \pi r=2 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 44

**Choice F**

The graph of the function …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 45

**Choice A**

Only Choice A satisfies that …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 46

**Choice H**

When x become really large …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 47

**Choice B**

The probability of drawing a …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 48

**Choice K**

The expression is undefined whenever …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 49

**Choice E**

$$\frac{\frac{2}{5}+\frac …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 50

**Choice H**

$$3^{x^2-x-2}=1=3 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 51

**Choice D**

The major radius p is …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 52

**Choice J**

$$p=\frac{3+1}{10 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 53

**Choice B**

$$Area \ of \triangle ABC = \frac …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 54

**Choice J**

$$\frac{59\%\times66}{15}\times3 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 55

**Choice E**

Area of shaded portion = $$\frac …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 56

**Choice F**

The median will stay the …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 57

**Choice A**

The ticket cost is $$5 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 58

**Choice F**

$$I. n\downarrow+(n+1 …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 59

**Choice E**

$$(x-4)(x-4)\times2=72\\$$
$$x …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.

# 2018 April(A09) Math Question 60

**Choice K**

Let's start with K …

**You are not logged in.**

Log In |
Sign Up and pay $29 now to view all explanations.