# 2013 June(71C) Math Question 1

**Choice A**

$$\frac{26200-17500}{4}=2175$$

# 2013 June(71C) Math Question 2

**Choice K**

$$6x-4x=7+3 \\ $$
$$\Rightarrow 2x=10 \\ $$
$$\Rightarrow x=5$$

# 2013 June(71C) Math Question 3

**Choice B**

11 is not a factor of 132 because 132 can not be divided by 11.

# 2013 June(71C) Math Question 4

**Choice F**

Since the number of coins is 325: q+n=325

Since the total value of the coins is $56.25: 0.25q+0.05n=56.25

# 2013 June(71C) Math Question 5

**Choice A**

$$x+7.5+x=24 \\$$
$$ \Rightarrow x=8.25$$

# 2013 June(71C) Math Question 6

**Choice K**

$$\angle C=180°-57°-57°=66°$$

# 2013 June(71C) Math Question 7

**Choice B**

$$a^2=32\times2 \\$$
$$ \Rightarrow a=8$$

# 2013 June(71C) Math Question 8

**Choice H**

$$4250=50a+1500 \\$$
$$ \Rightarrow a=55$$

# 2013 June(71C) Math Question 9

**Choice B**

0 cannot be a factor of any number; 1 can be a factor of any number; a may not be necessarily be a factor of b, and vice versa; ab cannot be a factor be a or b.

# 2013 June(71C) Math Question 10

**Choice H**

$$80-5(4^2-6)+6=36$$

# 2013 June(71C) Math Question 11

**Choice D**

$$h+s=10 \\ $$
$$12h+14s=128 \\$$
$$ \Rightarrow h=6 , \ s= 4$$

# 2013 June(71C) Math Question 12

**Choice H**

$$\frac{5\times5}{5\times(5+7)}=\frac{5}{12}$$

# 2013 June(71C) Math Question 13

**Choice B**

$$6x-5\geq 7 \\ $$
$$\Rightarrow 6x \geq 12 \\$$
$$ \Rightarrow x \geq2$$

# 2013 June(71C) Math Question 14

**Choice G**

$$w+w+5+w+w+5=60 \\$$
$$ \Rightarrow w=12.5$$

# 2013 June(71C) Math Question 15

**Choice D**

$$\frac{10}{40}=25\%$$

# 2013 June(71C) Math Question 16

**Choice H**

$$\frac{9}{5}=9:5$$

# 2013 June(71C) Math Question 17

**Choice D**

$$\frac{1}{40}\times360°=9°$$

# 2013 June(71C) Math Question 18

**Choice F**

24, 36, and 12 are multiples of both 3 and 4:
$$\frac{1+1+1}{8}=\frac{3}{8}$$

# 2013 June(71C) Math Question 19

**Choice E**

$$\frac{15+20+65}{200}=50\%$$

# 2013 June(71C) Math Question 20

**Choice J**

$$4n=14m \\$$
$$ \Rightarrow n=7,\ m=2 \\$$
$$ \Rightarrow t=4\times7=28 \ seconds$$

# 2013 June(71C) Math Question 21

**Choice A**

When the graph is shifted …

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# 2013 June(71C) Math Question 22

**Choice J**

$$\frac{AB}{2}+BC=\frac …

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# 2013 June(71C) Math Question 23

**Choice A**

$$x^2-5x+6=(x-3)(x-2)$$

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# 2013 June(71C) Math Question 24

**Choice H**

$$(-x^2+2x+8)+d …

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# 2013 June(71C) Math Question 25

**Choice D**

$$\frac{3+\frac{1}{9 …

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# 2013 June(71C) Math Question 26

**Choice K**

$$\frac{\frac{4}{3}}{\frac …

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# 2013 June(71C) Math Question 27

**Choice E**

$$2y-18= 0\\ $$
$$\Rightarrow y =9$$

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# 2013 June(71C) Math Question 28

**Choice H**

$$g(-4)=5-(-4)^2 …

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# 2013 June(71C) Math Question 29

**Choice B**

$$\cos A = \frac{AC}{AB …

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# 2013 June(71C) Math Question 30

**Choice G**

$$x^2-4\neq0\\$$
$$ \Rightarrow x …

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# 2013 June(71C) Math Question 31

**Choice E**

$$12\times \frac{210}{0 …

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# 2013 June(71C) Math Question 32

**Choice J**

$$247\times 7=1729$$

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# 2013 June(71C) Math Question 33

**Choice C**

$$2x^3-5x^2-12x=0\\ $$
$$\Rightarrow …

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# 2013 June(71C) Math Question 34

**Choice J**

$$1+3+5+...+(2n-1)=n …

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# 2013 June(71C) Math Question 35

**Choice E**

$$\frac{-4-5}{3-(-2)}=-\frac …

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# 2013 June(71C) Math Question 36

**Choice G**

$$0.3\overline{4}=0 …

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# 2013 June(71C) Math Question 37

**Choice B**

The other point must be …

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# 2013 June(71C) Math Question 38

**Choice H**

$$100=a5^2 \\$$
$$ \Rightarrow a …

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# 2013 June(71C) Math Question 39

**Choice B**

$$x=ay^2$$ is open …

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# 2013 June(71C) Math Question 40

**Choice F**

$$k>0\Rightarrow-k<0 \Rightarrow …

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# 2013 June(71C) Math Question 41

**Choice A**

Since when t is a …

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# 2013 June(71C) Math Question 41

**Choice A**

Since when t is a …

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# 2013 June(71C) Math Question 42

**Choice G**

b + e = 160°; if d …

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# 2013 June(71C) Math Question 43

**Choice C**

$$\angle ABE=\angle ABC+\angle …

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# 2013 June(71C) Math Question 44

**Choice F**

Generally:

$$\frac{\sin T}{LS …

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# 2013 June(71C) Math Question 45

**Choice B**

This is what a bag …

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# 2013 June(71C) Math Question 46

**Choice H**

$$H=\frac{24d}{D}-1$$

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# 2013 June(71C) Math Question 47

**Choice D**

$$\log_{}{((2x)^\frac{1}{2 …

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# 2013 June(71C) Math Question 48

**Choice H**

It can be proved that …

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# 2013 June(71C) Math Question 49

**Choice A**

The range of the graph …

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# 2013 June(71C) Math Question 50

**Choice F**

$$\frac{74.4-69}{2.7 …

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# 2013 June(71C) Math Question 51

**Choice C**

$$a+b+c=\frac{AB …

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# 2013 June(71C) Math Question 52

**Choice K**

$$8^2+11^2<16 …

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# 2013 June(71C) Math Question 53

**Choice D**

$$\frac{9}{2} \pi=\frac …

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# 2013 June(71C) Math Question 54

**Choice K**

When two polynominals are multiplied …

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# 2013 June(71C) Math Question 54

**Choice K**

When two polynominals are multiplied …

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# 2013 June(71C) Math Question 55

**Choice D**

$$\frac{48}{6}\times12+\frac …

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# 2013 June(71C) Math Question 56

**Choice G**

Only graph G fulfils the …

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# 2013 June(71C) Math Question 57

**Choice C**

$$CD=\sqrt{CF^2-DF^2 …

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# 2013 June(71C) Math Question 58

**Choice K**

The domain of f is …

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# 2013 June(71C) Math Question 59

**Choice A**

$$a=b-5 \\$$
$$ b\geq c …

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# 2013 June(71C) Math Question 60

**Choice K**

$$2^{n+3}=2^{n …

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