# 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

# 2017 June(74C) Math Question 23 Choice C

# 2017 June(74C) Math Question 26 Choice G

# 2017 June(74C) Math Question 28 Choice F

If Jamie's claim is …

# 2017 June(74C) Math Question 29 Choice D $$Area = 3 \times 5 =15$$

# 2017 June(74C) Math Question 30 Choice H # 2017 June(74C) Math Question 34 Choice K

# 2017 June(74C) Math Question 36 Choice F

# 2017 June(74C) Math Question 38 Choice K

# 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 …

# 2017 June(74C) Math Question 42 Choice G

sin(-x°) = -sin x°

# 2017 June(74C) Math Question 43 Choice D

Volume of box = 8 × 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 …

# 2017 June(74C) Math Question 46 Choice G

∠1 = ∠2

→3x - 10 = 2x …

# 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 …

# 2017 June(74C) Math Question 51 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 …