# 2015 June(73C) Math Question 1

**Choice C**

$$a(4-a)-5(a+7)=4a-a^2-5a-35=-a^2-a-35$$

# 2015 June(73C) Math Question 2

**Choice G**

$$\frac{1}{4}=0.25 \\$$
$$ \Rightarrow 0.03 \leq 0.2 \leq 0.25 \\$$
$$ \Rightarrow 0.03 \leq 0.2 \leq \frac{1}{4}$$

# 2015 June(73C) Math Question 3

**Choice C**

$$x^2=29-4=25 \\$$
$$ \Rightarrow x^2-4=25-4=21$$

# 2015 June(73C) Math Question 4

**Choice H**

Since T and U bisect QR and QS, respectively, TU//RS. Thus,
$$\angle TUQ=\angle S=60° \\$$
$$ \Rightarrow \angle TUS=180°-\angle TUQ=180°-60°=120°$$

# 2015 June(73C) Math Question 5

**Choice C**

The line is going downwards. Therefore the slope is negative.

# 2015 June(73C) Math Question 6

**Choice K**

$$\sqrt{81}=9 \\ $$
$$\sqrt{99}\approx\sqrt{100}=10$$
$$ \\ 9 \leq 9.2371 \leq 10 \\$$
$$ \Rightarrow 81\leq the \ number \leq 99$$

# 2015 June(73C) Math Question 7

**Choice E**

$$p=\frac{10-2}{10}=\frac{4}{5}$$

# 2015 June(73C) Math Question 8

**Choice K**

$$\frac{x_{A}+(-3)}{2}=1 \\$$
$$ \Rightarrow x_{A}=5 \\$$
$$ \frac{y_{A}+4}{2}=2 \\$$
$$ \Rightarrow y_{A}=0 $$

# 2015 June(73C) Math Question 9

**Choice B**

$$2x+8=116 \\ $$
$$\Rightarrow x=54$$

# 2015 June(73C) Math Question 10

**Choice H**

$$500+200x=$2,200 \\$$
$$ \Rightarrow x=$8.50$$

# 2015 June(73C) Math Question 11

**Choice D**

$$(3x+6)(2x-1)=6x^2-3x+12x-6=6x^2+9x-6$$

# 2015 June(73C) Math Question 12

**Choice J**

A box of 25 candies at Tamika's Treat costs $4.25. Thus the money left is $10.00 - $4.25 = $5.75, which is 23 quarters:
$$\frac{$5.75}{$0.25}=23$$

# 2015 June(73C) Math Question 13

**Choice B**

$$\frac{$3.75}{20}=$0.1875\approx $0.19$$

# 2015 June(73C) Math Question 14

**Choice F**

Only the equation in F fulfils all the given prices and the number of candies given in the table.

# 2015 June(73C) Math Question 15

**Choice E**

The opposite of 'at least 1' is 'no one'.

# 2015 June(73C) Math Question 16

**Choice J**

# 2015 June(73C) Math Question 17

**Choice E**

$$\frac{9\times9\times12}{3\times3\times3}=36$$

# 2015 June(73C) Math Question 18

**Choice J**

$$f(-4)=-4(-4)^{3}-4(-4)^{2}
=-4(-64)-4(16)
=256-64
=192$$

# 2015 June(73C) Math Question 19

**Choice A**

$$x+2y=4 \\ $$
$$-2x+y=7 \\$$
$$\Rightarrow x=-2, \ y=3$$

# 2015 June(73C) Math Question 20

**Choice G**

$$x=\sqrt{8^2+9^2}\approx12 \\$$
$$Perimeter = 8+10+12+19=49\approx50$$

# 2015 June(73C) Math Question 21

**Choice C**

$$5\times7-4\times6=11$$

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# 2015 June(73C) Math Question 22

**Choice H**

$$\frac{BC}{AB}=\frac{BD …

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# 2015 June(73C) Math Question 23

**Choice D**

When x=4, y can …

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# 2015 June(73C) Math Question 24

**Choice J**

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# 2015 June(73C) Math Question 25

**Choice D**

Let the number of times …

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# 2015 June(73C) Math Question 26

**Choice K**

Since a and b are …

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# 2015 June(73C) Math Question 27

**Choice C**

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# 2015 June(73C) Math Question 28

**Choice H**

$$40\%\times250=60\%x \\$$
$$ \Rightarrow …

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# 2015 June(73C) Math Question 29

**Choice A**

$$-2x-6y>2y-4 \\$$
$$ \Rightarrow -2x>2y …

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# 2015 June(73C) Math Question 30

**Choice F**

$$ \tan\alpha=\frac{\sin\alpha …

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# 2015 June(73C) Math Question 31

**Choice B**

$$3k+5k+3k+5k=96 …

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# 2015 June(73C) Math Question 32

**Choice G**

$$d^2=\frac{16\times8 …

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# 2015 June(73C) Math Question 33

**Choice B**

$$\frac{3.6}{12}=30 \%$$

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# 2015 June(73C) Math Question 34

**Choice F**

$$JD=\sqrt{5^2+12 …

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# 2015 June(73C) Math Question 35

**Choice B**

$$length \ of arc\ \widehat{CD …

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# 2015 June(73C) Math Question 36

**Choice H**

12 - 3.6 = 8.4

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# 2015 June(73C) Math Question 37

**Choice A**

4 - 1 = 3

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# 2015 June(73C) Math Question 38

**Choice J**

$$P=\frac{3^ne^{-3 …

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# 2015 June(73C) Math Question 39

**Choice B**

The amplitude of f(x …

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# 2015 June(73C) Math Question 40

**Choice H**

$$\frac{4}{3}\pi x …

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# 2015 June(73C) Math Question 41

**Choice D**

The median will be the …

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# 2015 June(73C) Math Question 42

**Choice H**

$$\tan40°=\frac{height}{50}\\$$
$$ \Rightarrow …

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# 2015 June(73C) Math Question 43

**Choice B**

Sea Horse:
$$\frac{255-50-50}{0 …

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# 2015 June(73C) Math Question 44

**Choice G**

0.05 fits the data …

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# 2015 June(73C) Math Question 45

**Choice A**

$$2x-5y=-5 \\ $$
$$\Rightarrow 2x+5 …

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# 2015 June(73C) Math Question 46

**Choice J**

$$\frac{x}{2\frac{1 …

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# 2015 June(73C) Math Question 47

**Choice E**

$$\frac{12x^6}{3x^2 …

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# 2015 June(73C) Math Question 48

# 2015 June(73C) Math Question 49

**Choice D**

$$2x=5\times7 \\$$
$$ \Rightarrow x …

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# 2015 June(73C) Math Question 50

**Choice F**

$$\frac{[5+(5+x)]\cdot …

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# 2015 June(73C) Math Question 51

**Choice B**

The square of a number …

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# 2015 June(73C) Math Question 52

**Choice K**

$$(x-1)(x+2)=x^{2 …

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# 2015 June(73C) Math Question 53

**Choice E**

Since the given equation is …

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# 2015 June(73C) Math Question 54

**Choice J**

The slopes of two lines …

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# 2015 June(73C) Math Question 55

**Choice A**

The shaded area lies below …

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# 2015 June(73C) Math Question 56

**Choice K**

$$(\sqrt{3})^{j}=27^{k …

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# 2015 June(73C) Math Question 57

**Choice A**

For an arithmetic sequence, the …

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# 2015 June(73C) Math Question 58

**Choice F**

$$sin\theta=\frac{1}{4 …

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# 2015 June(73C) Math Question 59

**Choice D**

The asymptote of a function …

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# 2015 June(73C) Math Question 60

**Choice F**

Conic sections are the result …

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