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

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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)

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