## [K] Sunlight

아래의 그림과 같이 $\overline{EF}=21$, $\; \overline{FG}=14$이고, 투명한 직육면체 $ABCD-{EFGH}$ 안에 반지름의 길이가 $7$인 두 구 $P$, $\; Q$가 들어 있다. 구 $P$는 평면 $AEHD$, $\; EFGH$와 접하고, 구 $Q$는 평면 $BFGC$와 접하고, 두 구는 외접하고 있다. 태양광선이 평면 $EFGH$와 ${30}^{o}$를 이루면서 두 구 $P$, $Q$를 비춘다고 할 때, 지면에 두 구에 의해 생긴 그림자의 넓이가 $a{\pi}+{b}\sqrt{3}$이다. 두 유리수 $a$, $\; b$에 대하여 $6({a}+{b})$의 값을 구하시오. (단, 태양광선은 평면 $BFGC$의 정면에서 비춘다.)

A. $882$
B. $956$
C. $1078$
D. $969$
E. $1274$

## Another Progressive Matrix

What is the most appropriate number for the question mark?

A.

B.

C.

D.

E.

## Tell Me a Sentence

Press below button to hear a sentence.

Who ate what?
A. Angel ate an apple
B. Anne ate an apple
C. Rachel ate an apple
D. Jenny ate an apple
E. Jessica ate a banana

## Net of a Cube

What is the volume of a rectangular prism when the net is given below?

A. $800\rm \ cm^3$
B. $150\rm \ cm^3$
C. $100\rm \ cm^3$
D. $1500\rm \ cm^3$
E. $3000\rm \ cm^3$

## Net of a Cone

What is the length of a slant height of a cone when the net is given below?

A. $9 \rm cm$
B. $4.5 \rm cm$
C. $18 \rm cm$
D. $2.25 \rm cm$
E. $6.5\rm cm$

## Wooden Blocks

A cube composed of individual smaller cubes is shown on the left below. Some of the mini cubes are removed from the big cube to make it the shape shown on the right. How many mini cubes were taken out?

A. $27$
B. $46$
C. $45$
D. $17$
E. $44$

## Rational Expression

Which of the following is equivalent to $\cfrac{4{x^3} - 5x^2 + 4}{x-{4}}$ ?
A. $4x^2 + {11}x + {44} + \cfrac{180}{x-{4}}$
B. $4x^2 - {21}x + {84} + \cfrac{88}{x-{4}}$
C. $4x^2 + {11}x + \cfrac{48}{x-{4}}$
D. $4x^2 - {21}x - \cfrac{88}{x-{4}}$
E. $4x^2 - {21}x - {84} - \cfrac{340}{x-{4}}$

## Matching

 Q3Q4Q2 a. A3b. A4c. A1d. A2

A. a , b , d
B. c , b , d
C. a , c , d
D. b , a , d
E. d , b , a

## Box and Whisker

These box-and-whisker plots show the class scores on four different math quizzes.
On which quiz was the interquartile range the greatest?
A. None
B. Quiz 3
C. Quiz 2
D. Quiz 4
E. Quiz 1