SSAT Upper Level Math Practice Test 14

1. If x is a positive number and , as x increases in value, what happens to y?

• A. y increases
• B. y decreases
• C. y is unchanged
• D. y increases then decreases
• E. y decreases then increases

2. A box was made in the form of a cube. If a second cubical box has inside dimensions three times those of the first box, how many times as much does it contain?

• A. 3
• B. 9
• C. 12
• D. 27
• E. 33

3. Mr. Adams has a circular flower bed with a diameter of 4 feet. He wishes to increase the size of this bed so that it will have four times as much planting area. What must be the diameter of the new bed?

• A. 6 feet
• B. 8 feet
• C. 12 feet
• D. 16 feet
• E. 20 feet

4. A train left Albany for Buffalo, a distance of 290 miles, at 10:10 a.m. The train was scheduled to reach Buffalo at 3:45 p.m. If the average rate of the train on this trip was 50 mph, it arrived in Buffalo

• A. about 5 minutes early.
• B. on time.
• C. about 5 minutes late.
• D. about 13 minutes late.
• E. more than 15 minutes late.

5. If 3x - 2 = 13, what is the value of 12x + 20?

• A. 5
• B. 20
• C. 30
• D. 37
• E. 80

6. A bakery shop sold three kinds of cake. The prices of these were 25¢, 30¢, and 35¢ per pound. The income from these sales was $36. If the number of pounds of each kind of cake sold was the same, how many pounds were sold?

• A. 120 pounds
• B. 90 pounds
• C. 60 pounds
• D. 45 pounds
• E. 36 pounds

7. How many more 9" × 9" linoleum tiles than 1' × 1' tiles will it take to cover a 12' × 12' floor?

• A. 63
• B. 98
• C. 112
• D. 120
• E. 144

8. If p pencils cost c cents, n pencils at the same rate will cost

• A. cents.
• B. cents.
• C. npc cents.
• D. cents.
• E. n + p + c cents.

9. Which, if any, of the following statements is always true?

• A. If the numerator and denominator of a fraction are increased or decreased by the same amount, the value of the fraction is unchanged.
• B. If the numerator and denominator of a fraction are squared, the value of the fraction is unchanged.
• C. The square of any number is greater than that number.
• D. If unequal quantities are added to unequal quantities, the sums are unequal.
• E. None of the above

10. If the length and width of a rectangle are each doubled, by what percent is the area increased?

• A. 50%
• B. 75%
• C. 100%
• D. 300%
• E. 400%

11. If one pipe can fill a tank in hours, and another can fill the same tank in 45 minutes, how long will it take for the two pipes to fill the tank together?

• A. hour
• B. hour
• C. hour
• D. 1 hour
• E. hours

12. A baseball team has won 50 games out of 75 played. It has 45 games still to play. How many of these must the team win to make its record for the season 60%?

• A. 20
• B. 22
• C. 25
• D. 30
• E. 35

13. If 9 million barrels of oil are consumed daily in the United States, how many barrels are required to meet commercial and industrial needs?

• A. 2,840,000
• B. 3,420,000
• C. 4,750,000
• D. 5,670,000
• E. 7,400,000

14. A real estate investor buys a house and lot for $44,000. He pays $1250 to have it painted, $1750 to fix the plumbing, and $1000 for grading a driveway. At what price must he sell the property in order to make a 12% profit?

• A. $53,760
• B. $52,800
• C. $52,000
• D. $49,760
• E. $44,480

15. If a = 1, b = 2, c = 3, and d = 5, the value of is

• A. 2
• B. 3.5
• C. 4
• D.
• E. 50