SAT数学练习题2 含答案详解.

2017-08-06 作者: 257阅读

SAT考试数学练习题SAT Math Practice Test 2

1. Which of the following could be a value of x, in the diagram above?

A. 10 B. 20 C. 40 D. 50 E. any of the above

2. Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?

A. 10 B. 15 C. 20 D. 25 E. 30

3. Jo&aposs collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A. 5 : 1 B. 10 : 5 C. 15 : 2 D. 20 : 2 E. 25 : 2

4. A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?

A. 2.5π B. 3π C. 5π D. 4π E. 10π

5. Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?

A. 4 B. 7 C. 8 D. 12 E. it cannot be determined from the information given.

6. If f(x) = (x + 2) / (x-2) for all integers except x=2, which of the following has the greatest value?

A. f(-1) B. f(0) C. f(1) D. f(3) E. f(4)

7. ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilateral EBFD ?

A. 2.25 B. 3 C. 4 D. 4.5 E. 6

8. If n ≠ 0, which of the following must be greater than n?

I 2n II n² III 2 - n

A. I only B. II only C. I and II only D. II and III only E. None

9. After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?

A. 20 B. 15 C. 8 D. 5 E. 3.2

10. n and p are integers greater than 1 5n is the square of a number 75np is the cube of a number. The smallest value for n + p is

A. 14 B. 18 C. 20 D. 30 E. 50

参考答案见下一页

SAT考试数学练习题参考答案

1.Correct Answer: B

Explanation:

The marked angle, ABC must be more than 90 degrees because it is the external angle of triangle BDC, and must be equal to the sum of angles BDC (90) and DCB. Also ABC is not a straight line and must be less than 180. Therore 90 < 5x < 180 The only value of x which satisfies this relation is 20.

2.Correct Answer: A

Explanation:

20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.

3.Correct Answer: E

Explanation:

Indian stamps are common to both ratios. Multiply both ratios by factors such that the Indian stamps are represented by the same number. US : Indian = 5 : 2, and Indian : British = 5 : 1. Multiply the first by 5, and the second by 2. Now US : Indian = 25 : 10, and Indian : British = 10 : 2 Hence the two ratios can be combined and US : British = 25 : 2

4.Correct Answer: C

Explanation:

Draw the diagram. The diagonal of the rectangle is the diameter of the circle. The diagonal is the hypotenuse of a 3,4,5 triangle, and is therore, 5. Circumference = π.diameter = 5π

5.Correct Answer: D

Explanation:

If two sets of four consecutive integers have one integer in common, the total in the combined set is 7., and we can write the sets as n + (n + 1) + (n + 2) + (n + 3 ) and (n + 3) + (n + 4) + (n + 5) + (n + 6) Note that each term in the second set is 3 more than the equivalent term in the first set. Since there are four terms the total of the differences will be 4 x 3 = 12

6.Correct Answer: D

Explanation:

You can solve this by back solving – substitute the answer choices in the expression and see which gives the greatest value.sat A (-1 + 2) / (-1-2) = -2 / 2 = -1; B (0 + 2) / (0-2) = 2/ -2 = -1; C (1 + 2) / (1-2) = 3/-1 = -3; D (3 + 2) / (3-2) = 5/1 = 5; E (4+ 2) / (4-2) = 6/2 = 3 If you had just chosen the largest value for x you would have been wrong. So although it looks a long method, it is actually quick and accurate since the numbers are really simple and you can do the math in your head.

7.Correct Answer: D

Explanation:

(Total area of square - sum of the areas of triangles ADE and DCF) will give the area of the quadrilateral 9 - (2 x ½ x 3 x 1.5) = 4.5

8.Correct Answer: E

Explanation:

Remember that n could be positive negative or a fraction. Try out a few cases: In case I, if n is -1, then 2n is less than n. In case II, if n is a fraction such as ½ then n2 will be less than n. In case III, if n is 2, then 2-n = 0, which is less than n. Therore, none of the choices must be greater than n

9.Correct Answer: C

Explanation:

If after each bounce it reaches 2/5 of the previous height, then after the second bounce it will reach 2/5 x 125. After the third it will reach 2/5 x 2/5 x 125. After the fourth it will reach 2/5 x 2/5 x 2/5 x 125. This cancels down to 2 x 2 x 2 = 8

10.Correct Answer: A

Explanation:

The smallest value for n such that 5n is a square is 5. 75np can now be written as 75 x 5 x p. This gives prime factors.... 3 x 5 x 5 x 5 x p To make the expression a perfect cube, p will have to have factors 3 x 3 , and hence p =9 n + p = 5 + 9 = 14

SAT数学练习题2 含答案详解SAT数学练习题2 含答案详解

SAT考试数学练习题SAT Math Practice Test 2

1. Which of the following could be a value of x, in the diagram above?

A. 10 B. 20 C. 40 D. 50 E. any of the above

2. Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?

A. 10 B. 15 C. 20 D. 25 E. 30

3. Jo&aposs collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A. 5 : 1 B. 10 : 5 C. 15 : 2 D. 20 : 2 E. 25 : 2

4. A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?

A. 2.5π B. 3π C. 5π D. 4π E. 10π

5. Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?

A. 4 B. 7 C. 8 D. 12 E. it cannot be determined from the information given.

6. If f(x) = (x + 2) / (x-2) for all integers except x=2, which of the following has the greatest value?

A. f(-1) B. f(0) C. f(1) D. f(3) E. f(4)

7. ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilateral EBFD ?

A. 2.25 B. 3 C. 4 D. 4.5 E. 6

8. If n ≠ 0, which of the following must be greater than n?

I 2n II n² III 2 - n

A. I only B. II only C. I and II only D. II and III only E. None

9. After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?

A. 20 B. 15 C. 8 D. 5 E. 3.2

10. n and p are integers greater than 1 5n is the square of a number 75np is the cube of a number. The smallest value for n + p is

A. 14 B. 18 C. 20 D. 30 E. 50

参考答案见下一页 上12下

共2页

阅读全文

留学咨询

更多出国留学最新动态,敬请关注澳际教育手机端网站,并可拨打咨询热线:400-601-0022
  • 专家推荐
  • 成功案例
  • 博文推荐
  • 高国强 向我咨询

    行业年龄 11年

    成功案例 2937人

    留学关乎到一个家庭的期望以及一个学生的未来,作为一名留学规划导师,我一直坚信最基本且最重要的品质是认真负责的态度。基于对学生和家长认真负责的原则,结合丰富的申请经验,更有效地帮助学生清晰未来发展方向,顺利进入理想院校。

  • Tara 向我咨询

    行业年龄 6年

    成功案例 1602人

  • 薛占秋 向我咨询

    行业年龄 10年

    成功案例 1869人

    从业3年来成功协助数百同学拿到英、美、加、澳等各国学习签证,递签成功率90%以上,大大超过同业平均水平。

  • Cindy 向我咨询

    行业年龄 18年

    成功案例 4806人

    精通各类升学,转学,墨尔本的公立私立初高中,小学,高中升大学的申请流程及入学要求。本科升学研究生,转如入其他学校等服务。

  • 重磅利好! 澳洲对中国开放10年签证!中澳多个直飞航班也将上线!

    501人阅读 查看原文

  • 澳八大里的中国留学生都在学什么专业?最热门专业汇总,码住!

    1303人阅读 查看原文

  • 澳洲某神仙专业只需1年,毕业就能拿PR!5所高校该课程已获当地认证!

    942人阅读 查看原文

  • PTE寒假班招生计划!

    1179人阅读 查看原文

我要查

澳际服务

我要读

热门国家申请