# 2017 June(74C) Math Question 1

**Choice C**

$$Length = \frac{100}{5}=20 \ feet$$

# 2017 June(74C) Math Question 2

**Choice J**

$$p = \frac{5}{2+9+5}=\frac{5}{16}$$

# 2017 June(74C) Math Question 3

**Choice E**

$$Number \ of \ arrangement = 4\times3\times2=24$$

# 2017 June(74C) Math Question 4

**Choice F**

30 pens still remain, enough for 6 packages;

20 notebooks still remain, enough for 10 packages;

24 envelopes still remain, enough for 8 packages;

84 cookies still remain, enough for 7 packages;

45 candy bars still remain, enough for 9 packages;

Apparently, pens are the bottleneck.

# 2017 June(74C) Math Question 5

**Choice C**

$$V=\frac{1}{3}\cdot \frac{22}{7}\cdot 6^2\times 28=1056$$

# 2017 June(74C) Math Question 6

**Choice G**

# 2017 June(74C) Math Question 7

**Choice B**

$$(0.1x^2+3x+80) +(0.5x^2-2x+60)=(0.1x^2+0.5x^2)+(3x-2x)+(80+60)=0.6x^2+x+140$$

# 2017 June(74C) Math Question 8

**Choice H**

Only d = 3t + 15 fulfils all the data in the table.

# 2017 June(74C) Math Question 9

**Choice C**

$$$40\times(1-d)=$30 \\ $$
$$\Rightarrow d=25\%$$

# 2017 June(74C) Math Question 10

**Choice G**

$$|-6|-|7-41|=6-34=-28$$

# 2017 June(74C) Math Question 11

**Choice C**

$$Value=$6,880\times \frac{70}{70+50+40}=$3,010$$

# 2017 June(74C) Math Question 12

**Choice G**

Only the number line in G fulfils:
$$18\leq age <30$$

# 2017 June(74C) Math Question 13

**Choice D**

$$\frac{AC}{AB}=\frac{AE}{AD} \\$$
$$ \Rightarrow \frac{AC}{6+5+4}=\frac{12}{6} \\$$
$$ \Rightarrow AC=30$$

# 2017 June(74C) Math Question 14

**Choice G**

$$\frac{\sqrt{50}}{2}\approx 3.54 \approx 4$$

# 2017 June(74C) Math Question 15

**Choice D**

$$9k+2k=44 \\$$
$$ \Rightarrow k=4 \\$$
$$ 9k=36$$

# 2017 June(74C) Math Question 16

**Choice H**

$$1-\frac{1}{9}-\frac{1}{6}=\frac{13}{18}$$

# 2017 June(74C) Math Question 17

**Choice A**

$$35\times(10+x)=42\times10 \\$$
$$ \Rightarrow 10+x=12 \\ $$
$$\Rightarrow x=2$$

# 2017 June(74C) Math Question 18

**Choice J**

$$Area \ of \ 2 \ shaded \ regions = 8\times 10 - \frac{8\times10}{2}=40$$

# 2017 June(74C) Math Question 19

**Choice C**

Only C fulfils all three inequations.

# 2017 June(74C) Math Question 20

**Choice H**

The range of y = sin (x-π) is :
$$-1\leq y \leq 1$$
The range of y = -5sin (x-π) is :
$$-5\leq y \leq 5$$
The range of y = 3-5sin (x-π) is :
$$-2\leq y \leq 8$$

# 2017 June(74C) Math Question 21

**Choice D**

$$g(-3)=(-3)^2-4=5 …

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# 2017 June(74C) Math Question 22

**Choice G**

$$3f+4c=$25 \\$$
$$f+2c …

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# 2017 June(74C) Math Question 23

**Choice C**

$$71,\ 77,\ 78,\ 80,\ \underline …

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# 2017 June(74C) Math Question 24

**Choice H**

Let the length of the …

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# 2017 June(74C) Math Question 25

**Choice E**

$$AB\times AD=1 \\$$
$$ \Rightarrow …

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# 2017 June(74C) Math Question 26

**Choice G**

$$\frac{16+x}{16+x …

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# 2017 June(74C) Math Question 27

**Choice E**

$$a^{-2}=(a^{2})^{-1 …

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# 2017 June(74C) Math Question 28

**Choice F**

If Jamie's claim is …

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# 2017 June(74C) Math Question 29

**Choice D**

$$Area = 3 \times 5 =15$$

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# 2017 June(74C) Math Question 30

**Choice H**

$$BD=\sqrt{3^2+4 …

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# 2017 June(74C) Math Question 31

**Choice A**

The slope of a horizontal …

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# 2017 June(74C) Math Question 32

**Choice J**

When A is reflected over …

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# 2017 June(74C) Math Question 33

**Choice A**

$$8^2\cdot 4^{0 …

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# 2017 June(74C) Math Question 34

**Choice K**

$$Number \ of \ applicants \ not \ accepted …

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# 2017 June(74C) Math Question 35

**Choice B**

$$\log_{2}{\sqrt{8}}=\log_ …

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# 2017 June(74C) Math Question 36

**Choice F**

$$\frac{\frac{90-15}{3}}{90 …

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# 2017 June(74C) Math Question 37

**Choice E**

$$\frac{4}{5}+\frac{7 …

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# 2017 June(74C) Math Question 38

**Choice K**

$$\frac{353}{85+353+47 …

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# 2017 June(74C) Math Question 39

**Choice D**

$$\frac{14+10+85+353 …

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# 2017 June(74C) Math Question 40

**Choice H**

Of the 15 incorrectly classified …

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# 2017 June(74C) Math Question 41

**Choice A**

To simplify matters, let’s …

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# 2017 June(74C) Math Question 42

**Choice G**

sin(-x°) = -sin x°

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# 2017 June(74C) Math Question 43

**Choice D**

Volume of box = 8 × 8 …

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# 2017 June(74C) Math Question 44

**Choice G**

Since ΔBCD is a right …

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# 2017 June(74C) Math Question 45

**Choice D**

200 days ago is equivalent …

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# 2017 June(74C) Math Question 46

**Choice G**

∠1 = ∠2

→3x - 10 = 2x …

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# 2017 June(74C) Math Question 47

**Choice E**

The best way to solve …

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# 2017 June(74C) Math Question 48

**Choice H**

The Scalene Triangle has no …

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# 2017 June(74C) Math Question 49

**Choice D**

A sportswriter estimates the team …

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# 2017 June(74C) Math Question 50

**Choice J**

The denominator of f(x …

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# 2017 June(74C) Math Question 51

**Choice E**

555_ _ _ _

Each …

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# 2017 June(74C) Math Question 52

**Choice F**

The circle represents all dots …

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# 2017 June(74C) Math Question 53

**Choice B**

The question asks what x …

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# 2017 June(74C) Math Question 54

**Choice F**

The slope represents the copying …

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# 2017 June(74C) Math Question 55

**Choice E**

Let r be revenue, n …

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# 2017 June(74C) Math Question 56

**Choice K**

The quickest way would be …

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# 2017 June(74C) Math Question 57

**Choice A**

To make one banner, ¼ …

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# 2017 June(74C) Math Question 58

**Choice F**

What you need to know …

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# 2017 June(74C) Math Question 59

**Choice D**

According to the graph, the …

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# 2017 June(74C) Math Question 60

**Choice K**

Requirements for Matrix Multiplication:

In …

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