Practice Test 3 - HSPT Quantitative

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

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1. Compare (a) $\sqrt{64}+\sqrt{36}$ with (b) $\sqrt{64+36}$.
2. Compare the values: (A) $3^4 \div 9$ and (B) $2^6 \div 8$
3. Compare the quantities: (a) $\sqrt{144} + \sqrt{25}$ and (b) $\sqrt{169}$
4. Compare the quantities: (a) $6^2 \div 3^2$ and (b) $4$
5. In the sequence $2, 8, 18, 32, 50, 72, ...$ what is the 8th term?
6. Compare the values: (A) $\frac{8}{15} \div \frac{2}{5}$ and (B) $\frac{6}{7} \div \frac{9}{14}$
7. A store is having a clearance sale. All items are first marked down by 30%, then an additional 20% is taken off the already reduced price. If a jacket originally costs $150, and there is also a 6.5% sales tax applied to the final discounted price, what is the total amount a customer will pay for the jacket?
8. Consider the sequence $4, 12, 36, 108, 324, ...$ If this pattern continues, what is the 7th term?
9. Cylinder (a) has radius 2 and height 6, cylinder (b) has radius 3 and height 4, and cylinder (c) has radius 1 and height 12. Compare their volumes.
10. Compare the quantities: (a) $0.75 \times 0.4$ and (b) $0.3$
11. 3, 7, 5, 11, 9, 17, 15, ?
12. A restaurant offers a discount plan: customers pay $15 upfront and then get 20% off all meals for the month. Without the plan, meals cost $12 each on average. What is the minimum number of meals a customer must buy in the month for the discount plan to be worthwhile?
13. Compare (a) $104 \times 96$ with (b) $10000 - 16$.
14. Compare the quantities: (a) $\frac{2}{3} \div \frac{1}{4}$ and (b) $\frac{5}{2} + \frac{1}{8}$
15. Compare (a) $8 + 12 \div 4 \times 2$ with (b) $8 + 12 \div (4 \times 2)$.
16. 1, 2, 6, 15, 31, ?
17. Compare the quantities: (a) $\sqrt{81} - \sqrt{16}$ and (b) $5$
18. Compare the quantities: (a) $0.8 \times 1.25$ and (b) $1$
19. The sequence $3, 12, 48, 192, 768, ...$ follows a geometric pattern. What is the 7th term?
20. In a school election, candidate A received 40% of the votes, candidate B received 35%, and candidate C received the remaining votes. If candidate A won by 120 votes over candidate B, how many total votes were cast?

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