解析19道ACT数学练习题及答案

解析19道ACT数学练习题及答案考而思老师通过本文详细的给大家了一下。ACT考试全称“American College Testing”，中文名称为“美国大学入学考试”，是美国大学本科的入学条件之一，也是奖学金发放的重要依据之一。由ACT公司主办。ACT考试分为四个部分：文章改错(English)，数学(Math)，阅读(Reading)，和科学推理(Science Reasoning)。另外，作文为选考。

ACT(American College Test)考试与SAT考试均被称为“美国高考”，它们既是美国大学的入学条件之一，又是大学发放奖学金的主要依据之一及对学生综合能力的测试标准。这个考试也被所有美国四年制大学承认，与SAT相比学校没有偏向性，两个考试的成绩均接受。和SAT不同，ACT考试更像一种学科考试，它更强调考生对课程知识的掌握，同时也考虑到了对考生独立思考和判断能力的。从时间上看，ACT考试比SAT紧张;从难度上看，ACT考试比SAT更容易一些，尤其对中国的考生来说，选择ACT考试可能更容易在短期内获得相对满意的成绩!

数学是ACT考试重要的一部分，需要考生在60分钟内解答60道题目，下面就为考生19道ACT数学练习题，考生不妨拿起笔来练习一下，看看你能对几个哦?

1. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

A. 2 hours and 24 minutes

B. 3 hours and 12 minutes

C. 3 hours and 44 minutes

D. 4 hours and 10 minutes

E. 4 hours and 33 minutes

2. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?

A. 5/p

B. p - 5

C. p + 5

D. p/5

E. 1- p + 5

3. Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?

A. $280.90

B. $287

C. $292.50

D. $306

E. $333.89

4. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?

A. $14,310.40

B. $14,990.90

C. $15,290.70

D. $15,737.50

E. $16,935.80

5. Solve the following equation for A : 2A/3 = 8 + 4A

A. -2.4

B. 2.4

C. 1.3

D. -1.3

E. 0

6. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?

A. 8

B. 10

C. 14

D. 19

E. 21

7. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?

A. $240

B. $480

C. $720

D. $960

E. $1,200

8. Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?

A. $496.30

B. $512.40

C. $555.40

D. $574.90

E. $588.20

9. The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs $55 before taxes, how much will the city receive in taxes from him?

A. 10 cents

B. 11 cents

C. 15 cents

D. 17 cents

E. 21 cents

10. Simon arrived at work at 8:15 A.M. and left work at 10: 30 P.M. If Simon gets paid by the hour at a rate of $10 and time and ? for any hours worked over 8 in a day. How much did Simon get paid?

A. $120.25

B. $160.75

C. $173.75

D. $180

E. $182.50

11. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?

A. 4

B. 8

C. 12

D. 13

E. 16

12. If r = 5 z then 15 z = 3 y, then r =

A. y

B. 2 y

C. 5 y

D. 10 y

E. 15 y

13. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?

A. 150/x

B. 150x

C. 6x

D. 1500/x

E. 600x

14. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?

A. $57

B. $90

C. $104

D. $112

E. $122

15. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =

A. 12

B. 25

C. 33

D. 47

E. 86

16. You need to purchase a textbook for nursing school. The book cost $80.00, and the sales tax where you are purchasing the book is 8.25%. You have $100. How much change will you receive back?

A. $5.20

B. $7.35

C. $13.40

D. $19.95

E. $21.25

17. You purchase a car making a down payment of $3,000 and 6 monthly payments of $225. How much have you paid so far for the car?

A. $3225

B. $4350

C. $5375

D. $6550

E. $6398

18. Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse''s station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for 12.95. How much will purchasing these products cost?

A. $132.85

B. $145.75

C. $162.90

D. $225.25

E. $226.75

19. If y = 3, then y3(y3-y)=

A. 300

B. 459

C. 648

D. 999

E. 1099

Answer Key

1. A 2. A　3. D　　4. D　　5. A　　6. A　　7. E　　8. A　　9. D　　10. C　　11. D　　12. A　　13. A　　14. B　　15. C　　16. C　　17. B　　18. A 19. C