SSAT Upper Level Quantitative Practice Test 33

1.

Among those who rated dalmatians their favorite, what is the approximate fractional part from suburban areas?

• A.
• B.
• C.
• D.
• E.

2.

If 20,000 people selected bulldogs as their favorite breed of dog, approximately how many more suburban people than rural people chose that breed?

• A. 2,000
• B. 4,000
• C. 6,500
• D. 13,000
• E. 15,000

3. Kelsey is participating in a walk-a-thon to raise money for a charity. Her parents are going to contribute twenty cents after she walks one mile, forty cents after she walks two miles, and sixty cents after she walks three miles. If her parents continue to donate money in this manner, how much money will Kelsey's parents contribute to her charity if Kelsey walks 26 miles?

• A. $68.00
• B. $68.20
• C. $70.00
• D. $70.20
• E. $71.20

4. Select the inequality represented by the statement "The sum of five times a number and two times a different number is less than or equal to 44."

• A. 5x + 2x ≤ 44
• B. 5x × 2y ≤ 44
• C. 5x + 2y ≤ 44
• D. 5x × 2y ≥ 44
• E. 5x + 2y ≥ 44

5.

If the line segment AB is 24 meters long, based on the figure, how long is line segment CB?

• A. 6 m
• B. 8 m
• C. 12 m
• D. 16 m
• E. 18 m

6. –2(–5)² =

• A. –100
• B. –50
• C. –20
• D. 50
• E. 100

7.

Approximately what percent of the figure is shaded?

• A. 15%
• B. 33%
• C. 50%
• D. 66%
• E. 75%

8. If two numbers, P and Q, have an average of 80, and P – Q ≠ 0, which of the following must be true?

• A. P + Q = 80
• B. P – Q = 40
• C. P =30 and Q = 50
• D. 80 – P = Q – 80
• E. 80 + P = Q + 80

9. At the beginning of March, Alice gave Luke 40% of her baseball card collection. At the end of that month, she decides to give Luke 40% of the remaining cards in her baseball card collection. Out of her original collection, what percent of it does Alice still have?

• A. 20%
• B. 24%
• C. 36%
• D. 60%
• E. 80%

10. Amy is selling a concert ticket for 55% of the price. If Amy paid $72.75, including tax, for the ticket, which amount is the closest to how much Amy is charging to sell the ticket?

• A. $32.00
• B. $33.00
• C. $36.00
• D. $36.50
• E. $40.00

11. Combine and simplify:

(6x⁵ – 2x³ + 8) – (4x⁵ – x⁴ + 3x² + 12)

• A. 2x⁵ – x⁴ – x³ + 20
• B. 2x⁵ – x⁴ + x³ – 4
• C. 2x⁵ + x⁴ – 2x³ + 3x² – 4
• D. 2x⁵ + x⁴ – 5x³ + 20
• E. 2x⁵ + x⁴ – 2x³ – 3x² – 4

12. Let b represent the base of a rectangle. If the height of the rectangle is 4 less than the base, which expression would represent the perimeter of the rectangle?

• A. 2b – 4
• B. 2b – 8
• C. 4b – 4
• D. 4b – 8
• E. b² – 4

13. Simplify the variable expression:

• A.
• B.
• C.
• D.
• E.

14. If the dots shown below are connected by starting at J and then going to K, for which answer choice is it necessary to retrace a line or lift the pencil in order to draw it?

• A.
• B.
• C.
• D.
• E.

15. The average of five consecutive even integers is 12. What is the greatest of these integers?

• A. 8
• B. 10
• C. 13
• D. 14
• E. 16

16. If p + q is divisible by 13, which of the following is also divisible by 13?

• A. (p × 3) + (q × 3)
• B.
• C. (p × 13) + q
• D. p + (q × 13)
• E. (p × q) – 13

17. What could be the sum of M, N, P, and Q if each letter represents a different digit?

• A. 18
• B. 17
• C. 16
• D. 13
• E. 10