# 2011 June(69F) Math Question 1

Choice C

$$14+9=23$$ $$23\times2=46$$

# 2011 June(69F) Math Question 2

Choice F

$$\frac{8}{-4}=-2$$ $$\frac{-16}{8}=-2$$ $$-64\times(-2)=128$$

# 2011 June(69F) Math Question 3

Choice A

$$(8+3-(-5))(3+(-5))$$ $$=(8+3+5)(3-5)$$ $$=16(-2)$$ $$=-32$$

# 2011 June(69F) Math Question 4

Choice G

$$\frac{34-10}{2}=12$$

# 2011 June(69F) Math Question 5

Choice E

$$-2x+3=-21$$ $$-2x=-21-3=-24$$ $$x=\frac{-24}{-2}=12$$

# 2011 June(69F) Math Question 6

Choice J

$$62+100+93+62+72+78+50+85+62+36=700$$ $$\frac{700}{10}=70$$

# 2011 June(69F) Math Question 7

Choice E

$$1\frac{2}{3}+\frac{3}{4}=1\frac{8}{12}+\frac{9}{12}$$ $$=1\frac{17}{12}$$ $$=2\frac{5}{12}$$

# 2011 June(69F) Math Question 8

Choice H

$$6:10=x:90$$ $$10x=6\times90=540$$ $$x=54$$

# 2011 June(69F) Math Question 9

Choice C

$$35\times4+0.375\times300$$ $$=140+112.5$$ $$=252.5$$

# 2011 June(69F) Math Question 10

- FOIL

Choice J

$$=7c(2c+d)-2d(2c+d)$$ $$=14c^{2}+7cd-4dc-2d^{2}$$ $$=14c^{2}+3cd-2d^{2}$$

# 2011 June(69F) Math Question 11

Choice B

$$3x+5y-13=0$$ $$5y=13-3x$$ $$y=\frac{13-3x}{5}$$

# 2011 June(69F) Math Question 12

Choice K

“3 times the speed” of …

# 2011 June(69F) Math Question 13

Choice A

$$-15-2\times3=-15-6=-21$$

# 2011 June(69F) Math Question 14

Choice J

From 2 hours to 4 hours, her distance traveled does not increase. Therefore, her car must have been stopped.

$$250-100=150$$

# 2011 June(69F) Math Question 15

Choice B

$$r=\frac{6}{2}=3$$ $$h=1.5$$ $$\pi \approx 3.14$$ $$\pi r^{2}h=3.14\times 3^{2}\times(1.5)=42.39$$

# 2011 June(69F) Math Question 16

Choice F

$$f(-1)=\mid-1\mid^{3}-1=1^{3}-1=1-1=0$$

# 2011 June(69F) Math Question 17

Choice C

$$332\times1.25=415$$

# 2011 June(69F) Math Question 18

Choice F

$$6a-4a+5b-4b+4c+2c=2a+b+6c$$

# 2011 June(69F) Math Question 19

Choice B

$$\frac{6+14}{2}=10$$

# 2011 June(69F) Math Question 20

Choice K

$$6\times6=36$$

Choice C

# 2011 June(69F) Math Question 22

Choice G

If “the x-coordinate of point …

# 2011 June(69F) Math Question 23

Choice C

You must add these parts …

# 2011 June(69F) Math Question 24

Choice F

$$\frac{4c}{5}-\frac{1}{2}=-\frac{25}{2}$$ $$\frac{4c}{5}=-\frac{25}{2}+\frac{1}{2}$$ $$\frac{4c}{5}=-\frac{24}{2}$$ $$4c\times2=5\times(-24)$$ $$8c=-120$$ …

# 2011 June(69F) Math Question 25

Choice B

$$\overline{AC}=r+4r=5r$$ $$\overline{AB}:\overline{AC}=r:5r=1:5$$

# 2011 June(69F) Math Question 26

Choice F

$$y=mx+b$$ $$3y=-8x+5$$ $$y=-\frac{8}{3}x+5$$ $$m=-\frac{8}{3}$$

# 2011 June(69F) Math Question 27

Choice C

Let r = number of …

# 2011 June(69F) Math Question 28

Choice H

$$90°\lt\theta\lt180°$$

It is in the …

# 2011 June(69F) Math Question 29

Choice C

Because the length of the …

# 2011 June(69F) Math Question 30

Choice G

$$1\times316+2\times271=858$$

# 2011 June(69F) Math Question 31

Choice E

$$12d:30d:40d=64:24:18$$ $$[64,24,18]=576$$

# 2011 June(69F) Math Question 32

Choice K

If the board is 1.5 …

# 2011 June(69F) Math Question 33

Choice A

This equation is

$$(x-h)^{2}+(y-k)^{2}=r^{2}$$

where …

# 2011 June(69F) Math Question 34

Choice H

$$(-mp)(mp^{9})^{4}$$ $$=(-m)(m^{4})(p)(p^{9\times4})$$ $$=(-m^{5})(p{37})$$

# 2011 June(69F) Math Question 35

Choice A

$$0.578578578...$$

Because the decimal repeats …

# 2011 June(69F) Math Question 36

Choice K

His probability of drawing a …

Choice E

# 2011 June(69F) Math Question 41

Choice D

$$i=\sqrt{-1},\ i^{2}=-1$$ $$\sqrt{-27}=\sqrt{27}i=3\sqrt{3}i$$ $$\sqrt{-48}=\sqrt{48}i=4\sqrt{3}i$$ $$\sqrt{-48}+\sqrt{-27}$$ …

# 2011 June(69F) Math Question 42

Choice K

$$tangent=\frac{opposite}{adjacent}$$ $$\tan67°=\frac{x}{7.5}$$ $$x=7.5\tan67°$$

Choice B

In the diagram,

# 2011 June(69F) Math Question 50

Choice J

The greatest power of 17,23,61 …

# 2011 June(69F) Math Question 51

Choice E

Based on the diagram, the …

# 2011 June(69F) Math Question 52

Choice G

$$f(5)=3$$ $$g(f(5))=g(3)=-5$$

# 2011 June(69F) Math Question 53

Choice C

$$45°:45°:90°$$ $$=1:1:\sqrt{2}$$ $$=x:x:x\sqrt{2}$$ $$30°:60°:90°$$ $$=1:\sqrt{3}:2$$ …

# 2011 June(69F) Math Question 54

Choice K

$$a+b=5$$ $$ab=6$$ $$a,b=2,3$$ $$\Rightarrow \frac{3}{2}+\frac{2}{3}=\frac{9+4}{6}=\frac{13}{6}$$

Choice A

# 2011 June(69F) Math Question 59

Choice D

SAS Triangle Congruence Theorem : …

Choice K

If x + 2 is …