# 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

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

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

- Cost

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

$$g(-3)=(-3)^2-4=5 \\$$ $$\Rightarrow f(g(-3))=f(5)=2\times5+1=11$$

Choice G

# 2017 June(74C) Math Question 24

Choice H

Let the length of the …

Choice E

# 2017 June(74C) Math Question 27

Choice E

$$a^{-2}=(a^{2})^{-1}=\frac{1}{a^2}$$

# 2017 June(74C) Math Question 28

Choice F

If Jamie's claim is true, …

Choice D

# 2017 June(74C) Math Question 35

Choice B

$$\log_{2}{\sqrt{8}}=\log_{2}{\sqrt{2^3}}=\log_{2}{2^{\frac{3}{2}}}=\frac{3}{2}$$

# 2017 June(74C) Math Question 36

Choice F

$$\frac{\frac{90-15}{3}}{90}\times 360°=100°$$

# 2017 June(74C) Math Question 37

Choice E

$$\frac{4}{5}+\frac{7}{x}= \frac{4x}{5x}+\frac{7\times5}{5x}=\frac{4x+35}{5x}$$

# 2017 June(74C) Math Question 38

Choice K

$$\frac{353}{85+353+47}=\frac{353}{485}$$

# 2017 June(74C) Math Question 39

Choice D

$$\frac{14+10+85+353}{560}\approx 0.83$$

# 2017 June(74C) Math Question 40

Choice H

Of the 15 incorrectly classified …

# 2017 June(74C) Math Question 41

Choice A

To simplify matters, let’s make …

# 2017 June(74C) Math Question 42

Choice G

sin(-x°) = -sin x°

# 2017 June(74C) Math Question 43

Choice D

Volume of box = 8 …

# 2017 June(74C) Math Question 44

Choice G

Since ΔBCD is a right …

# 2017 June(74C) Math Question 45

Choice D

200 days ago is equivalent …

Choice G

∠1 = ∠2

→3x - …

# 2017 June(74C) Math Question 47

Choice E

The best way to solve …

# 2017 June(74C) Math Question 48

Choice H

The Scalene Triangle has no …

# 2017 June(74C) Math Question 49

Choice D

A sportswriter estimates the team …

# 2017 June(74C) Math Question 50

Choice J

The denominator of f(x) = …

Choice E

555_ _ _ _

Each …

# 2017 June(74C) Math Question 52

Choice F

The circle represents all dots …

# 2017 June(74C) Math Question 53

Choice B

The question asks what x …

# 2017 June(74C) Math Question 54

Choice F

The slope represents the copying …

# 2017 June(74C) Math Question 55

Choice E

Let r be revenue, n …

# 2017 June(74C) Math Question 56

Choice K

The quickest way would be …

# 2017 June(74C) Math Question 57

Choice A

To make one banner, ¼ …

# 2017 June(74C) Math Question 58

Choice F

What you need to know: …

# 2017 June(74C) Math Question 59

Choice D

According to the graph, the …

# 2017 June(74C) Math Question 60

Choice K

Requirements for Matrix Multiplication:

In …