﻿ SAT数学考试备考练习题 24小时全国免费热线

400-004-6613 首页 / SAT / SAT数学 / SAT数学考试备考练习题(二)
SAT数学考试备考练习题(二)

为了帮助大家高效备考SAT，蘑菇教育SAT备考频道小编为大家带来SAT数学考试备考练习题，希望对大家SAT备考有所帮助。

1. If a2 = 12, then a4 =

A. 144

B. 72

C. 36

D. 24

E. 16

解析:

a4 = a2 x a2 = 12 x 12 = 144

2. If n is even, which of the following cannot be odd?

I n + 3

II 3n

III n2 - 1

A. I only

B. II only

C. III only

D. I and II only

E. I, II and III

解析:

In case I , even plus odd will give odd. In case II, odd times even will give even. In case III even squared is even, and even minus odd is odd. (You can check this by using an easy even number like 2 in place of n). Only case II cannot be odd.

3. One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

I 24

II 20

III 5

A. I only

B. II only

C. III only

D. II and III only

E. I, II and III

解析:

The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ? x 8 x 5 = 20. We can alter the angle between the sides to make it less or more than 90, but this will only reduce the area. (Draw it out for yourself). Hence the area can be anything less than or equal to 20.

4. A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 91 pounds?

A. 12

B. 11

C. 10

D. 9

E. 8

解析:

Food consumed per day = 39/6. In the remaining days it will consume 91 - 39 pounds = 52 pounds. Now divide the food by the daily consumption to find the number of days. 52 / (39/6) = 52 x (6 / 39) = 8

5. A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?

A. 8p

B. pq

C. pq + 27

D. -p

E. (p - q)6

解析:

A perfect cube will have prime factors that are in groups of 3; for example 125 has the prime factors 5 x 5 x 5 , and 64 x 125 will also be a cube because its factors will be 4 x 4 x 4 x 5 x 5 x 5. Consider the answer choices in turn. 8 is the cube of 2, and p is a cube, and so the product will also be a cube. pq will also be a cube as shown above.pq is a cube and so is 27, but their sum need not be a cube. Consider the case where p =1 and q = 8, the sum of pq and 27 will be 35 which has factors 5 x 7 and is not a cube. -p will be a cube. Since the difference between p and q is raised to the power of 6, this expression will be a cube (with cube root = difference squared).

A gasoline tank on a certain tractor holds 16gallons of gasoline. If the tractor requires 7 gallonsto plow 3 acres, how many acres can the tractorplow with a tankful of gasoline?

(A) 6 and (6/7)

(B) 7 and (1/6)

(C) 7 and (1/3)

(D) 10 and (2/3)

(E) 37 and (1/3) The circle above has center P. Given segments of the following lengths, which is the length ofthe longest one that can be placed entirely inside this circle?

(A) 6.99

(B) 7.00

(C) 7.99

(D) 8.10

(E) 14.00

答案：C

8. Of the following, which is greater than ? ?

A. 2/5

B. 4/7

C. 4/9

D. 5/11

E. 6/13

9. If an object travels at five feet per second, how many feet does it travel in one hour?

A. 30

B. 300

C. 720

D. 1800

E. 18000

10. What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?

A. 90

B. 95

C. 100

D. 105

E. 110

11. A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

A. 48

B. 32

C. 24

D. 18

E. 12

12. In a class of 78 students 41 are taking French, 22 are taking German and 9 students are taking both French and German. How many students are not enrolled in either course?

A. 6

B. 15

C. 24

D. 33

E. 54

13. If f(x) = │(x2 – 50)│, what is the value of f(-5) ?

A. 75

B. 25

C. 0

D. -25

E. -75

14. ( √2 - √3 )2 =

A. 5 - 2√6

B. 5 - √6

C. 1 - 2√6

D. 1 - √2

E. 1

15. 230 + 230 + 230 + 230 =

A. 8120

B. 830

C. 232

D. 230

E. 226

16. Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?

A. 10

B. 8

C. 6

D. 4

E. 2

17. In the figure above AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC ?

A. 18

B. 13.5

C. 9

D. 4.5

E. 3

以上是蘑菇教育SAT备考频道小编给大家整理的SAT数学考试备考练习题，你get了么?  400-004-6613  400-004-6613  400-004-6613  400-004-6613  400-004-6613  400-004-6613
﻿