# SAT Questions and Answers Model Paper-4 Important Questions Section B

Glide to success with Doorsteptutor material for Subject-SAT : get questions, notes, tests, video lectures and more- for all subjects of Subject-SAT.

**Section - B**

**Time - 25 minutes**

**20 Questions**

**1**. In the figure below, ABCD is a square. What is the value of ?

(A) 2

(B) 6

(C) 8

(D) 10

(E) 12

**2**. Which of the following statements shows that the statement below is __not__ true?

**All sophomores are now 16 years old**

(A) Tim is a senior who is 18 years old.

(B) Sheng is a junior who is 16 years old.

(C) Elida is a sophomore who is 16 years old.

(D) Dennis is a sophomore who is 15 years old.

(E) Luis is a freshman who is 15 years old.

**3**. If , what is the value of ?

(A) 13

(B) 16

(C) 22

(D) 24

(E) 32

**4**. The graph below shows how the level of water in a holding tank changed as water drained into and out of the tank. During which time period did the water level in the holding tank change most rapidly?

(A) Between 1: 00 P. M. and 1: 04 P. M.

(B) Between 1: 04 P. M. and 1: 08 P. M.

(C) Between 1: 08 P. M. and 1: 10 P. M.

(D) Between 1: 10 P. M. and 1: 16 P. M.

(E) Between 1: 20 P. M. and 1: 24 P. M.

**5**. The number *b* is 5 less than twice the number *c*. The product of *b* and *c* is 45. Which of the following pairs of equations could be used to find the values of *b* and *c*?

(A)

(B)

(C)

(D)

(E)

**6**. In the figure below, ABDE is a rectangle, and is a diameter of the circle. If the length of is 4 centimeters of the circle. If the length of is 6 centimeters, what is the total area, in square centimeters, of the shaded regions?

__Note__: Figure not drawn to scale.

(A)

(B)

(C)

(D)

(E)

**7**. If , which of the following is equivalent to ?

(A) 5 % of *n*

(B) 20 % of *n*

(C) 25 % of *n*

(D) 50 % of *n*

(E) 500 % of *n*

**8**. For every row of values in the table below, , where is a constant. What is the value of ?

r | s | t |

0 | 8 | 0 |

36 | 12 | 1 |

96 | 16 | 2 |

180 | 20 | 3 |

(A)

(B)

(C)

(D)

(E)

**9**. Set S below consists of the squares of the positive integers. How many numbers in S are greater than 50 but less than 200?

(A) Five

(B) Six

(C) Seven

(D) Eight

(E) Nine

**10**. In the figure below, *w* is twice *y* and *y* is twice . What is the value of ?

__Note__: Figure not drawn to scale.

(A) 36

(B) 40

(C) 45

(D) 72

(E) 144

**11**. The number of bacteria in a certain dish over a 5 – hour period is modeled by the function defined below, where represents time, in hours. According to the model, how many bacteria were in the dish at time ?

(A) 0

(B) 50

(C) 100

(D) 150

(E) 200

**12**. For nonnegative integers and let be defined by . Which of the following is true?

A.

B.

C.

D.

E.

**13**. The average (arithmetic mean) of the 3 different positive integers and is 50. If and What is the least possible value of ?

(A) 50

(B) 51

(C) 59

(D) 90

(E) 91

**14**. In preparing for a race, Jill ran the distance that Sam ran, and Sam ran 3 times the distance that Aisha ran. What was the ratio of the distance that Jill ran to the distance that Aisha ran?

(A) 1 to 3

(B) 1 to 2

(C) 2 to 3

(D) 3 to 2

(E) 5 to 1

**15**. The longest side of a right triangle has length . Which of the following pairs CANNOT be the lengths of the two shorter sides of the triangle?

(A)

(B)

(C)

(D)

(E)

**16**. In the equation below, is positive when and negative when . Which of the following could be the value of a?

(A) 1

(B) 2

(C) 3

(D) 4

(E) 5

**17**. The first term of a sequence is . Each term after the first is more than the preceding term. Which of the following expressions is the sum of the first 6 terms of the sequence?

(A)

(B)

(C)

(D)

(E)

**18**. The graph below shows the advertised number of miles per gallon of gasoline used by a group of cars that were tested by a consumers՚ group. What is the median advertised gas mileage for the these cars, in miles per gallon?

(A) 26

(B) 26.5

(C) 26.75

(D) 27

(E) 27.5

**19**. If and , which of the following must be true?

**I**.

**II**.

**III**.

(A) III only

(B) I and II only

(C) I and III only

(D) II and III only

(E) I, II and III

**20**. If what is the slope of the line in the -plane that passes through the points and ?

(A)

(B)

(C)

(D)

(E)