SAT problem solving practice test 11

1. A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)

A. 17
B. 28
C. 35
D. 39
E. 50

2. A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentage has the area of the logo increased?

A. 50
B. 80
C. 100
D. 125
E. 250

3. ♠n denotes the number obtained when n is rounded to the nearest tenth. For example ♠4.31 = 4.3
♠0.089 - ♠1.135 =

A. 1.05
B. 1.04
C. -1.05
D. -1.0
E. -0.1

4. Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 7, how many people got on at the first stop?

A. 128
B. 64
C. 32
D. 16
E. 8

5. The slope of the line passing through the point (5,5) is 5/6. All of the following points could be on the line except

A. (2.5, 2)
B. (11, 10)
C. (8, 7.5)
D. (-1, 0)
E. (-7, -5)

6. For a wall of a given material and of a fixed surface area, the rate of heat loss by conduction through the wall is inversely proportional to the thickness (T) of the wall, and directly proportional to the temperature difference (d) across the wall. The rate of heat loss could be given by which of the following expressions?

A. 2d/T
B. 2 T/d
C. 2d + ½ T
D. 2(d + ½ T)
E. T/d

7. The average (mean) number of children per family in the village is approximately

A. 2.4
B. 2.0
C. 1.8
D. 1.5
E. 1.0

8. Refer to the table provided in the previous question.
The difference between the median and the mode of the number of children per family is

A. 2.5
B. 2.0
C. 1.5
D. 1.0
E. 0

9. If x is an integer, which of the following could be x³?

I 1.25 x 10 ¹⁷
II 12.5 x 10 ^-12
III 0.125 x 10 ^-12

A. I only
B. II only
C. I and II only
D. I and III only
E. II and III only

10. At what point does the graph of 5x + 4y = 12 intersect the y-axis?

A. (0, 3)
B. (0, -3)
C. (3, 0)
D. (5, 0)
E. (0, -5)