Practice Test 2 - HSPT Quantitative

20 questions. Answer them in any order, then submit to see your score and every explanation.

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1. Compare the quantities: (a) $1.2 \times 2.5$ and (b) $3$
2. Compare the quantities: (a) $(-4)^2 \div 2^3$ and (b) $2$
3. Trapezoid (a) has parallel sides of length 4 and 8 with height 3, parallelogram (b) has base 6 and height 3, and triangle (c) has base 12 and height 3. Compare their areas.
4. A bakery makes three types of cookies: chocolate chip, oatmeal, and sugar. The profit margins are $0.50, $0.40, and $0.30 per cookie respectively. If they sell 200 cookies daily with the ratio of chocolate chip to oatmeal to sugar being 3:2:5, what is their daily profit from cookie sales?
5. 4, 5, 10, 11, 33, 34, ?
6. Two trains leave stations 300 miles apart at the same time, traveling toward each other. Train A travels at 45 mph and Train B at 55 mph. If Train A makes a 30-minute stop after traveling for 2 hours, how long after their departure will they meet?
7. Compare the quantities: (a) $2.5^2$ and (b) $6.25$
8. Compare the quantities: (a) $0.6^2$ and (b) $0.36$
9. Compare the values: (A) $0.75 + 0.125 + 0.25$ and (B) $\frac{3}{4} + \frac{1}{8} + \frac{1}{4}$
10. Compare the quantities: (a) $\sqrt{36} \times \sqrt{4}$ and (b) $\sqrt{144}$
11. In a chess tournament, each player plays every other player exactly once. If there are 28 total games played, and the tournament director wants to add the minimum number of players so that the total games played becomes a perfect square, how many additional players should be added?
12. 2, 3, 8, 27, 112, ?
13. Consider the sequence $1, 4, 9, 16, 25, 36, ...$ What is the 15th term?
14. Compare the values: (A) $\frac{2}{3} \text{ of } 45$ and (B) $\frac{3}{5} \text{ of } 50$
15. The sequence $6, 11, 21, 41, 81, ...$ continues with the same pattern. What comes next?
16. Compare the values: (A) $15\% \text{ of } 120$ and (B) $12\% \text{ of } 150$
17. A rectangular garden is surrounded by a walking path of uniform width. The garden itself is 20 feet by 30 feet. If the total area including the path is 1,064 square feet, what is the width of the path?
18. Compare (a) $37\%$ of 83 with (b) $83\%$ of 37.
19. Compare the quantities: (a) $\frac{15}{4} - \frac{7}{4}$ and (b) $2$
20. In the sequence $5, 11, 23, 47, 95, \ldots$, each term after the first follows a specific pattern. What is the next term?

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