# SAT Questions and Answers Model Paper 2 Important Questions Section C

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**SECTION – C**

**Time – 25 minutes**

**20 Questions**

**1**. The value of lies between 400 and 500. If is an integer, what is the value of ?

(A) 1

(B) 2

(C) 3

(D) 4

(E) 5

**2**. Which of the following is equivalent to ?

(A)

(B)

(C)

(D)

(E)

**3**. In the figure below, and . What is the value of?

(A) 100

(B) 80

(C) 60

(D) 50

(E) 40

**4**. The graph below shows the daily snowfall at Ski Country Lodge for four days. Based on the graph, what is the difference between the maximum and minimum daily snowfall, in feet, for the four days?

(A) 0.2

(B) 0.4

(C) 0.6

(D) 0.8

(E) 1.0

**5**. In the below figure, and . What is the value of ?

(A) 30

(B) 45

(C) 55

(D) 60

(E) 90

**6**. If and are integers such that and , What is the value of ?

(A)

(B) 0

(C) 1

(D) 1.5

(E) 2

**7**. In an xy-coordinates system, points P and Q have coordinates (2,1) and (4,2) , respectively. Which of the following are coordinates of a point on the line through P and Q?

(A) (6,3)

(B) (6,4)

(C) (6,5)

(D) (6,6)

(E) (6,8)

**8**. For the integers x, y, and z, let be defined by . What is the value of ?

(A)

(B)

(C) 1

(D) 3

(E) 9

**9**. Deer will come into the Jacksons՚ flower only when either daises or roses are growing in their garden. However, deer will not come into their garden and eat the flowers if their dog is in the yard next to the garden. Which of the following statements must be true?

(A) If the deer did not eat the Jacksons՚ flowers today, then roses are not growing in their garden.

(B) If the deer ate the Jacksons՚ flowers today, then their dog was not in the yard next to the garden.

(C) If the Jacksons՚ dog is not in the yard next to their garden today, then the deer will eat their flowers.

(D) If the Jacksons՚ dog is in the yard next to their garden today, then daises are not growing in their garden.

(E) If daises are growing in the Jacksons՚ garden today, then the deer will eat their flowers.

**10**. In a list of 100 numbers, the fraction of numbers greater than 15 is and the fraction of numbers less than 15 is . How many numbers in the list are equal to 15?

(A) 10

(B) 24

(C) 49

(D) 55

(E) 74

**11**. Solomon walk his neighbor՚s dog once every day and cuts his neighbor՚s lawn once each week. He ears $ 3 each time he walks the dog and $ 25 each time he cuts the lawn. Which of the following expressions represents the amount, in dollars, that the ears in *w* weeks?

(A)

(B)

(C)

(D)

(E)

**12**. Which of the following is true about the average (arithmetic mean) , median, and mode of the 11 numbers listed below?

2, 3, 4, 5, 6, 6, 6, 7,8, 9,10

(A) The average, median, and mode are all different.

(B) The average and median are the same, but the mode is different.

(C) The average and mode are the same, but the median is different.

(D) The median and mode are the same, but the average is different.

(E) The average, median, and mode are all the same.

**13**. The function *d*, defined below, models the distance in feels that a ball rolls down an inclined ramp in *t* seconds. According to this model, how many seconds would it take the ball to roll down 120 feet of the ramp?

(A) 10

(B) 13

(C) 26

(D) 100

(E) 120

**14**. In the xy-coordinate plane, P and Q are different points that have the same y-coordinate and lie on the parabola whose equation is . What is the x-coordinate of the midpoint of ?

(A) 0

(B)

(C) 1

(D)

(E) 2

**15**. A triangle with a perimeter of 20 has a side of length 5. Which of the following is a possible length for a second side of the triangle?

(A) 5

(B) 7

(C) 10

(D) 12

(E) 14

**16**. The complete graphs of the functions *f* and *g* are shown in the *xy*-plane below. Which of the following could be equal to ?

(A)

(B)

(C)

(D)

(E)

**17**. In the figure below, the two semicircles have radii of lengths *j* and *k*, respectively. Which of the following expressions gives the length of the darkened curved path shown from A to C?

(A)

(B)

(C)

(D)

(E)

**18**. Two relationships involving the variables *p, s*, and *t* are given below. Which of the following must be true?

*P* = *ks*, where *k* is a constant.

*S* = *nt*, where *n* is a constant.

(A) *p* is directly proportional to *t*.

(B) *p* is directly proportional to *t ^{2}*.

(C) *p* is equal to *t*.

(D) *p* is directly proportional to .

(E) *p* is directly proportional to .

**19**. In the sequence below, the first term is and each term after the first is more than the preceding term. Which term in the sequence is equal to ?

(A) The 3^{rd} term

(B) The 12^{th} term

(C) The 24^{th} term

(D) The 120^{th} term

(E) The 144^{th} term

**20**. A square with an area of 2 is inscribed in a circle. What is the area of the circle?

(A)

(B)

(C)

(D)

(E)