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

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**SECTION β F**

**Time β 25 minutes**

**18 Questions**

**1**. In the *xy*-plane, three of the four vertices of a square have coordinates (2,4) , (5,4) , and (2,1) . What are the coordinates of the fourth vertex of the square?

(A) (0,0)

(B) (1,2)

(C) (4,5)

(D) (5,1)

(E) (5,8)

**2**. If 5 timeΥs t is decreased by 8. Which of the following represents the result?

(A)

(B)

(C)

(D)

(E)

**3**. If f is a function and , which of the following CANNOT be the definition of f?

(A)

(B)

(C)

(D)

(E)

**4**. According to the pictogram below, in 2050 the male population in which age bracket is projected to make up two-fifths of the total population in that age bracket?

(A) 55 β 64

(B) 55 β 74

(C) 65 β 74

(D) 75 β 84

(E) 85 and over

**5**. The measures of the angles of are . If and . What is the value of ?

(A) 30

(B) 35

(C) 40

(D) 45

(E) 50

**6**. If S is the set of prime numbers between 1 and 20 and T is the set of all positive multiples of 3 or 5, how many numbers appear both S and T?

(A) Five

(B) Four

(C) Three

(D) Two

(E) One

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

(A)

(B)

(C)

(D)

(E)

**8**. The letters A, B, C, and D, and E are to be arranged in the boxes above, one in each box, in the following way. A must be between C and D, B must be next to E, and C cannot be in the first or fifth positions. How many different arrangements of these letters are possible?

(A) One

(B) Two

(C) Four

(D) Six

(E) Eight

**9**. At a certain camp, the counselor β to β camper ratio is 2 to 9. If the camp has 18 counselors, how many campers does it have?

**10**. If . What is the value of ?

**11**. According to the table above, what is the total number of calories yielded from 200 grams of protein and 100 grams of fat?

**12**. What is the perimeter of the six-sided figure below?

**13**. For a dog that weights w pounds and is inches long to qualify for a certain competition, the difference between and can be no more than 5. If a dog with length 24 inches qualifies for the competition, What is one possible weight, in pounds, of this dog?

**14**. In the figure below, has measure . What is the value of ?

**15**. According to the equations below, what is the value of ?

**16**. In the -plane, the line with equation intersects the x-axis and y-axis at the points A and B, respectively. What is the length of line segment ?

**17**. The inner dimensions of a closed rectangular tank are shown in the figure above. There is 16 cubic feet of water in the tank. The tank will be repositioned on level ground so that it rests on one of the faces that has the least area. What will be the height, in feet, of the water after the tank has been repositioned?

**18**. On the number line below, tick marks are spaced so that the distance from a to b is twice the distance from b to c and the distance from b to c is twice the distance from c to d. If a, b, c, and d are positive integers, what is the smallest possible value of d?