# SAT Questions and Answers Model Paper-3 Important Questions Section D

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**SECTION – D**

**Time – 25 minutes**

**18 Questions**

**1**. To rent a room for a party at an ice – skating rink, the charge is $ 50 per hour plus 52 per person attending the party. Which of the following functions represents the charge, in dollars, to rent a room at the rink for a 2 – hour party if *n* people attend the party?

(A)

(B)

(C)

(D)

(E)

**2**. Lines , and intersect as shown below. What is the value of ?

(A) 145

(B) 140

(C) 130

(D) 125

(E) 120

**3**. According to the table below, what was the increase in the total number of graduates in these five departments from 2000 to 2001?

(A) 35

(B) 40

(C) 45

(D) 50

(E) 55

**4**. In the figure below, the length of the darkened arc is of the circumference of the circle with center O. If the diameter of the circle is 18, what is the length of the darkened arc?

(A)

(B)

(C)

(D)

(E)

**5**. If and , What is the value of ?

(A) 7

(B) 12

(C) 14

(D) 20

(E) 24

**6**. The largest square below has sides of length 8 and is divided into the two shaded rectangles and two smaller squares labeled I and II. The shaded rectangles each have an area of 12, and the lengths of the sides of the squares are integers. What is the area of square II if its area is larger than area of square I?

**Note**: Figure not drawn to scale.

(A) 9

(B) 16

(C) 25

(D) 36

(E) 49

**7**. What percent of the integers from 3 to 12, inclusive, are neither primes nor multiples of 4?

(A) 20 %

(B) 30 %

(C) 40 %

(D) 60 %

(E) 70 %

**8**. If and , what does equal?

(A)

(B)

(C)

(D)

(E)

**9**. Samantha can walk 14 miles in 4 hours. At this rate, how many miles can Samantha walk in 3 hours?

**10**. If and is an integer, what is the least possible value of ?

**11**. In the figure below, the three lines , , and intersect to form 6 angles with equal measures. If the dotted segments bisect 2 of those angles, what is the measure, in degrees, of the angle indicated by the arrow? (Disregard the degree symbol when gridding your answer.)

**12**. In a group of 212 people, there were 32 more males than females. How many were in the group?

**13**. In the figure below, ABCD is a square with perimeter 12. The 4 triangles are equilateral. What is the perimeter of the shaded region?

**14**. In a survey, 15 students were each asked to give the number of hour they slept that night. The results are plotted below, where each dot represents one of the students. The median number of hours studied is how much less than the median number of hours slept?

**15**. If and are positive integers in the equation below, what is one possible value of ?

**16**. At a certain hospital, 89 children were born in the month of June. If more children were born on the fifteenth of June than on any other day in June, what is the least number of children that could have been born on the fifteenth of June?

**17**. The functions and are defined for all values of , and certain values of functions are given in the table below, If the function is defined by for all values of , what is the value of ?

**18**. In the -plane, line has equation , and line has equation . If the lines intersect at the point with coordinates , what is the value of ?