# SAT Questions and Answers Model Paper-7 Important Questions Section G

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SECTION – G

Time – 20 minutes

16 Questions

1. If which of the following represents twice the difference between and ?

(A)

(B)

(C)

(D)

(E)

2. The volume of a rectangular box is 1 cubic foot. If the length of the box is 2 feet and the width is foot, what is the height?

(A) ft

(B) ft

(C) ft

(D) ft

(E) ft

3. The graph below shows the number of participants in a science fair for grades 1 through 7 at Blue Hills Schools. According to the graph, how many more students in grades 1 through 5 participated in the science fair than students in grades 6 and 7?

(A) 4

(B) 6

(C) 7

(D) 8

(E) 11

4. Which of the following pairs shows that the equation below is not always true?

(A) (0,0)

(B) (0,2)

(C) (2,0)

(D) (4,0)

(E) (4,4)

5. In the -coordinate system below, is a diagonal of a square (not shown) . What is the area of the square?

(A) 3

(B) 6

(C) 8

(D) 9

(E) 12

6. Figures 1 and 2 below show how toothpicks are being used to create a sequence of regular pentagons. The length of each side of a pentagon in the sequence is increased by one toothpick to build the next pentagon. How many more toothpicks will be needed to build the 5th pentagon in the sequence than the 4th pentagon?

(A) 1

(B) 5

(C) 10

(D) 20

(E) 25

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

(A)

(B)

(C)

(D)

(E)

8. In right triangle ABC below, what is the length of side ?

(A) 4

(B) 6

(C) 8

(D) 12

(E) 16

9. The sum of the numbers and is subtracted from 15. In terms of and , what is the subtracted from 15. In terms of and , what is the result?

(A)

(B)

(C)

(D)

(E)

10. Single-color tokens of blue, red, green, or yellow are placed in a single line so that the pattern of blue, red, green, yellow, blue, and red, green, yellow repeats throughout. If the first token in the line is blue. Which of the following tokens is green?

(A) 117th

(B) 118th

(C) 119th

(D) 120th

(E) 121th

11. If and satisfy the inequalities below, then could be any of the following EXCEPT

(A) 16

(B) 8

(C) 4

(D) 2

(E) 1

12. In the -plane, the graph of the function , with equation , passes through the point . What is the value of ?

(A)

(B)

(C)

(D)

(E)

13. In the figure below, each of the points and is the center of a circle of radius 4. The points where the circles are tangent to each other and to the square are marked. What is the length of segment ?

(A) 8

(B) 12

(C)

(D)

(E)

14. If and are each positive integers less than 10 and is equivalent to , how many values of are possible?

(A) One

(B) Two

(C) Three

(D) Four

(E) Five

15. The graph of the function on the interval is shown below. Which of the following expressions represents the difference between the maximum and minimum values of on the interval ?

(A)

(B)

(C)

(D)

(E)

16. The integers 1 through 6 appear on the six faces of a cube, one on each face. If three such cubes are rolled, what is the probability that the sum of the numbers on the top faces is 17 or 18?

(A)

(B)

(C)

(D)

(E)