# 2015 April(73G) Math Question 1 Choice B

$$|3(-2)+4|=|-6+4|=|-2|=2$$

# 2015 April(73G) Math Question 2 Choice G

$$\frac{123.25}{\frac{55.25}{13}}=29$$

# 2015 April(73G) Math Question 3 Choice B

$$\sqrt{\frac{m}{x-3}}=\sqrt{\frac{-16}{-1-3}}=\sqrt{4}=2$$

# 2015 April(73G) Math Question 4 Choice H

$$ax-bx+cx=x(a-b+c)$$

# 2015 April(73G) Math Question 5 Choice A

$$\frac{100}{8\times 107\%}=11.68\approx 11$$

# 2015 April(73G) Math Question 6 Choice H

$$\sqrt{4^2+5^2}\approx6.4$$

# 2015 April(73G) Math Question 7 Choice D

$$\frac{3150}{50}=63 \\$$ $$\frac{3150}{70}=45 \\$$ $$\frac{3150}{90}=35$$ Choice D.

# 2015 April(73G) Math Question 8 Choice J

Let the number of small wreaths be x, thus the number of large wreath 2x: $$30\times 2x+20\times x=4\times 60 \\$$ $$\Rightarrow x=3 \\$$ $$\Rightarrow 2x=6$$

# 2015 April(73G) Math Question 9 Choice E

The ratio ranges from 0 to 1.

# 2015 April(73G) Math Question 10 Choice H

Distance = |(-7)-(-14)|=7

# 2015 April(73G) Math Question 11 Choice H

$$3b-7=b+1 \\$$ $$\Rightarrow2b=8 \\$$ $$\Rightarrow b=4$$

# 2015 April(73G) Math Question 12 Choice J

For Ben's:

Total charge = Number of miles

For Ronnie's:

Total charge = 0.5 Number of miles +40

Number of miles = 0.5 Number of miles +40

Number of miles = 80

# 2015 April(73G) Math Question 13 Choice A

Apparently LM is greater than 90°, while the rest are either equal to or smaller than 90°.

# 2015 April(73G) Math Question 14 Choice H

$$\frac{8}{6+8+g}=\frac{1}{3} \\$$ $$\Rightarrow g =10$$

# 2015 April(73G) Math Question 15 Choice C

$$\frac{x}{60}=\frac{28}{40} \\$$ $$\Rightarrow x=42$$

# 2015 April(73G) Math Question 16 Choice G

$$Area \ of \ shaded \ region=12\times 6+ \frac{12\times3}{2}=80 \ square \ feet$$ Since one 1-quart container of paint will cover 50 square feet, 2 will be needed.

# 2015 April(73G) Math Question 17 Choice D

$$\frac{6.0\times10^{16}}{1.5\times 10^{8}}=4.0\times10^8 \ seconds$$

# 2015 April(73G) Math Question 18 Choice K

Since AB and DE are parallel, $$\angle A=\angle E$$ Also, since: $$\angle BCA=\angle DCE$$ It follows that $$\angle BAC=\angle CED$$

# 2015 April(73G) Math Question 19 Choice A

$$\frac{8+x}{2}=2 \\$$ $$\Rightarrow x=-4\\$$ $$\frac{-8+y}{2}=-4 \\$$ $$\Rightarrow y=0$$

# 2015 April(73G) Math Question 20 Choice J

Let the lesser integer be n: $$(2n+1)n=78 \\$$ $$\Rightarrow n=6\\$$ $$\Rightarrow 2n+1=13$$

# 2015 April(73G) Math Question 21 Choice A

The set of numbers are …

# 2015 April(73G) Math Question 22 Choice J

Let the number of points …

# 2015 April(73G) Math Question 23 Choice E

# 2015 April(73G) Math Question 27 Choice B

# 2015 April(73G) Math Question 29 Choice C

# 2015 April(73G) Math Question 32 Choice K

When a point is reflected …

# 2015 April(73G) Math Question 33 Choice E $$\angle BAD=180°-54°$$

# 2015 April(73G) Math Question 34 Choice F

# 2015 April(73G) Math Question 37 Choice C

xy must be divisible by …

# 2015 April(73G) Math Question 38 Choice G

$$2a=4c \\$$ $$\Rightarrow a=2c$$

# 2015 April(73G) Math Question 39 Choice D

By week w, Jan will …

# 2015 April(73G) Math Question 40 Choice J

# 2015 April(73G) Math Question 43 Choice B

# 2015 April(73G) Math Question 46 Choice G

# 2015 April(73G) Math Question 49 Choice B

Area = 10 x 5 = 50

# 2015 April(73G) Math Question 50 Choice G

# 2015 April(73G) Math Question 53 Choice C

# 2015 April(73G) Math Question 55 Choice E

# 2015 April(73G) Math Question 58 Choice F 