# 2013 June(71C) Math Question 1

Choice A

$$\frac{26200-17500}{4}=2175$$

# 2013 June(71C) Math Question 2

Choice K

$$6x-4x=7+3 \\$$ $$\Rightarrow 2x=10 \\$$ $$\Rightarrow x=5$$

# 2013 June(71C) Math Question 3

Choice B

11 is not a factor of 132 because 132 can not be divided by 11.

# 2013 June(71C) Math Question 4

Choice F

Since the number of coins is 325: q+n=325

Since the total value of the coins is \$56.25: 0.25q+0.05n=56.25

# 2013 June(71C) Math Question 5

Choice A

$$x+7.5+x=24 \\$$ $$\Rightarrow x=8.25$$

# 2013 June(71C) Math Question 6

Choice K

$$\angle C=180°-57°-57°=66°$$

# 2013 June(71C) Math Question 7

Choice B

$$a^2=32\times2 \\$$ $$\Rightarrow a=8$$

# 2013 June(71C) Math Question 8

Choice H

$$4250=50a+1500 \\$$ $$\Rightarrow a=55$$

# 2013 June(71C) Math Question 9

Choice B

0 cannot be a factor of any number; 1 can be a factor of any number; a may not be necessarily be a factor of b, and vice versa; ab cannot be a factor be a or b.

# 2013 June(71C) Math Question 10

Choice H

$$80-5(4^2-6)+6=36$$

# 2013 June(71C) Math Question 11

Choice D

$$h+s=10 \\$$ $$12h+14s=128 \\$$ $$\Rightarrow h=6 , \ s= 4$$

# 2013 June(71C) Math Question 12

Choice H

$$\frac{5\times5}{5\times(5+7)}=\frac{5}{12}$$

# 2013 June(71C) Math Question 13

Choice B

$$6x-5\geq 7 \\$$ $$\Rightarrow 6x \geq 12 \\$$ $$\Rightarrow x \geq2$$

# 2013 June(71C) Math Question 14

Choice G

$$w+w+5+w+w+5=60 \\$$ $$\Rightarrow w=12.5$$

# 2013 June(71C) Math Question 15

Choice D

$$\frac{10}{40}=25\%$$

# 2013 June(71C) Math Question 16

Choice H

$$\frac{9}{5}=9:5$$

# 2013 June(71C) Math Question 17

Choice D

$$\frac{1}{40}\times360°=9°$$

# 2013 June(71C) Math Question 18

Choice F

24, 36, and 12 are multiples of both 3 and 4: $$\frac{1+1+1}{8}=\frac{3}{8}$$

# 2013 June(71C) Math Question 19

Choice E

$$\frac{15+20+65}{200}=50\%$$

# 2013 June(71C) Math Question 20

Choice J

$$4n=14m \\$$ $$\Rightarrow n=7,\ m=2 \\$$ $$\Rightarrow t=4\times7=28 \ seconds$$

# 2013 June(71C) Math Question 21

Choice A

When the graph is shifted …

# 2013 June(71C) Math Question 22

Choice J

$$\frac{AB}{2}+BC=\frac{12}{2}+20=26$$

# 2013 June(71C) Math Question 23

Choice A

$$x^2-5x+6=(x-3)(x-2)$$

# 2013 June(71C) Math Question 24

Choice H

$$(-x^2+2x+8)+d=(5x^2+3) \\$$ $$\Rightarrow d=7x^2-2x-5$$

# 2013 June(71C) Math Question 25

Choice D

$$\frac{3+\frac{1}{9}}{1+\frac{1}{18}}=\frac{\frac{3\times9+1}{9}}{\frac{1\times18+1}{18}}=2\frac{18}{19}$$

# 2013 June(71C) Math Question 26

Choice K

$$\frac{\frac{4}{3}}{\frac{1}{6}}=\frac{4}{3}\times6=8$$

Choice E

# 2013 June(71C) Math Question 31

Choice E

$$12\times \frac{210}{0.03}=84000$$

# 2013 June(71C) Math Question 32

Choice J

$$247\times 7=1729$$

Choice C

# 2013 June(71C) Math Question 41

Choice A

Since when t is a, …

Choice G

b + e = 160°; …

Choice C

Choice D

# 2013 June(71C) Math Question 60

Choice K

$$2^{n+3}=2^{n+1}\cdot2^2=2m\cdot 2^2=8m$$