# 2014 December(72G) Math Question 1

**Choice D**

$$$250,000\times 3\%=$7,500$$

# 2014 December(72G) Math Question 2

**Choice F**

Solving for the equation, we have x = -3 and 4.

# 2014 December(72G) Math Question 3

**Choice B**

$$\frac{1}{6}\approx0.167$$

# 2014 December(72G) Math Question 4

**Choice H**

$$2x+1=5\Rightarrow x=2 \\ $$
$$\Rightarrow (x+3)^3=(2+3)^3=5^3=125$$

# 2014 December(72G) Math Question 5

**Choice B**

<1+2-4,-2+3+2>=<-1,3>

# 2014 December(72G) Math Question 6

**Choice H**

$$\frac{2}{3}x=6\\$$
$$ \Rightarrow 2x=18 \\ $$
$$\Rightarrow x=9$$

# 2014 December(72G) Math Question 7

**Choice B**

$$\frac{-7-11+15+23+45+23+2}{7}=13°C$$

# 2014 December(72G) Math Question 8

**Choice K**

$$(a+c)>(b+c) \\$$
$$\Rightarrow a>b$$

# 2014 December(72G) Math Question 9

**Choice C**

$$7y=-2x-12 \\$$
$$ \Rightarrow y=-\frac{2}{7}x-\frac{12}{7}$$

# 2014 December(72G) Math Question 10

**Choice K**

$$h=\sqrt{4^2+8^2}=\sqrt{80}$$

# 2014 December(72G) Math Question 11

**Choice C**

Only the equation in C fulfils all sets of d and t in the table.

# 2014 December(72G) Math Question 12

**Choice G**

$$\frac{30}{24}=\frac{40}{x} \\ $$
$$\Rightarrow x=32$$

# 2014 December(72G) Math Question 13

**Choice D**

$$50\times \frac{3+5}{3+2+5}=40$$

# 2014 December(72G) Math Question 14

**Choice F**

$$3(a+6b)=c \\ $$
$$\Rightarrow a+6b=\frac{c}{3} \\$$
$$ \Rightarrow a=\frac{c}{3}-6b$$

# 2014 December(72G) Math Question 15

**Choice E**

$$\sqrt{2x}=10 \\$$
$$ \Rightarrow 2x=100 \\ $$
$$\Rightarrow x=50$$

# 2014 December(72G) Math Question 16

**Choice H**

$$\frac{10^2-10}{2}=45$$

# 2014 December(72G) Math Question 17

**Choice A**

$$\tan\alpha=\frac{\sin\alpha}{\cos\alpha} \\ $$
$$\Rightarrow \cos\alpha=\frac{\sin\alpha}{\tan\alpha}=\frac{\frac{112}{113}}{\frac{112}{15}}=\frac{15}{113}$$

# 2014 December(72G) Math Question 18

**Choice H**

$$\angle A = \frac{180°-75°}{2}=52.5°$$

# 2014 December(72G) Math Question 19

**Choice B**

$$150=300(\frac{t+1}{24}) \\$$
$$ \Rightarrow t\approx 11$$

# 2014 December(72G) Math Question 20

**Choice F**

As can be seen from the graph, only (7,2) is 3 cm from (4,2).

# 2014 December(72G) Math Question 21

**Choice D**

$$\frac{30}{60\times4}\times360 …

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# 2014 December(72G) Math Question 22

**Choice F**

"Odetta spends$8.75 on …

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# 2014 December(72G) Math Question 23

**Choice C**

Since it is a parallelogram, the length of the other side is 10 inches, and that:
$$\frac{76-10-10}{2}=28$$

# 2014 December(72G) Math Question 24

**Choice K**

$$x-30\geq \frac{3}{4 …

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# 2014 December(72G) Math Question 25

**Choice A**

$$\frac{4}{20}=\frac{1 …

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# 2014 December(72G) Math Question 26

**Choice J**

$$100\times2+110\times3-122\times2-90 …

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# 2014 December(72G) Math Question 27

**Choice A**

$$10+4\times7=38$$

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# 2014 December(72G) Math Question 28

**Choice H**

$$\frac{CD}{DE}=\frac{AB …

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# 2014 December(72G) Math Question 29

**Choice A**

$$AD=AB+BD=AC-BC+BD …

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# 2014 December(72G) Math Question 30

**Choice H**

$$\frac{1.8\times10^9 …

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# 2014 December(72G) Math Question 31

**Choice C**

$$\frac{9\times12}{2}=54$$

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# 2014 December(72G) Math Question 32

**Choice G**

$$(15.5+0.7\times50 …

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# 2014 December(72G) Math Question 33

**Choice E**

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# 2014 December(72G) Math Question 34

**Choice K**

$$h=\sqrt{9^2+12 …

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# 2014 December(72G) Math Question 35

**Choice D**

$$\frac{AB}{AC}=\frac{BE …

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# 2014 December(72G) Math Question 36

**Choice G**

$$2\pi r=2\pi …

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# 2014 December(72G) Math Question 37

**Choice C**

$$3.75-0.25-\frac{0 …

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# 2014 December(72G) Math Question 38

**Choice J**

n-m=r+6-(r+5 …

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# 2014 December(72G) Math Question 39

**Choice C**

$$(4x+12)+(3x+18)+(5x-18 …

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# 2014 December(72G) Math Question 40

**Choice G**

$$Area = 6\times6-\frac{6 …

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# 2014 December(72G) Math Question 41

**Choice E**

$$\angle CZE=180-51=129$$

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# 2014 December(72G) Math Question 42

**Choice J**

$$\frac{4000-200\times\frac{4000 …

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# 2014 December(72G) Math Question 43

**Choice D**

Lines with the same slope …

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# 2014 December(72G) Math Question 44

**Choice G**

$$4a=8\times3 \\$$
$$ \Rightarrow a …

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# 2014 December(72G) Math Question 45

**Choice C**

$$\frac{2}{6}=\frac{k …

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# 2014 December(72G) Math Question 46

**Choice K**

The fact that 7 is …

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# 2014 December(72G) Math Question 47

**Choice E**

$$3x^2+11x-4=(x+4 …

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# 2014 December(72G) Math Question 48

**Choice G**

$$\tan53°=\frac{60}{x} \\$$
$$ \Rightarrow …

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# 2014 December(72G) Math Question 49

**Choice B**

$$10-20\times30\%=4$$

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# 2014 December(72G) Math Question 50

**Choice K**

$$\pi r^2 h=\pi …

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# 2014 December(72G) Math Question 51

**Choice D**

$$\log_{2^4}{x}=-\frac …

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# 2014 December(72G) Math Question 52

**Choice K**

y must be negative even …

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# 2014 December(72G) Math Question 53

**Choice E**

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# 2014 December(72G) Math Question 54

**Choice G**

$$\cos(\alpha+\beta)=\cos(60 …

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# 2014 December(72G) Math Question 55

**Choice A**

$$(x+3)(x-2)-7\times2 …

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# 2014 December(72G) Math Question 56

**Choice K**

$$|x|+1\leq 2 \\$$
$$ \Rightarrow …

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# 2014 December(72G) Math Question 57

**Choice D**

$$\sin \alpha =1 \Rightarrow \alpha …

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# 2014 December(72G) Math Question 58

**Choice F**

The center of the ellipse …

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# 2014 December(72G) Math Question 59

**Choice A**

$$0.5^3\times(6 …

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# 2014 December(72G) Math Question 60

**Choice J**

$$f(g(x))=g(f …

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