SSAT数学考试练习题（二）

发布时间：2016-12-27 　1、The Martial Art club has 4 instructors for 16 trainees who have elementary level skills and 2 other instructors for 8 trainees with advanced level skills. What is a trainee to instructor ratio in the club?

A)4:1

B)2:5

C)30:6

D)3:5

E)4:7

To find the trainee to instructor ratio we have to determing number of trainees and instractors. There are 4+2=6 instructors and 16+8=24 trainees in the club. Thus, the trainee to instructor ratio is 24:6=4:1

The correct answer is (A).

2、Order these fractions from least to greatest:

4/3, 8/12, 7/9, 9/27

A)8/12, 7/9, 9/27, 4/3

B)8/12, 7/9, 4/3, 9/27

C)7/9, 4/3, 9/27, 8/12

D)4/3, 9/27, 8/12, 7/9

E)9/27, 8/12, 7/9, 4/3

There are 3 ways to solve this problem:

1.Find the common denominator and then compare numerators.

2.Find the common numerator and then compare denominators.

3.Convert each fraction into decimals and compare results.

The simplest way, in this case, is to solve through the common denominator. This is shown below:

4/3 = (4*9)/(3*9)=36/27

8/12 = (2*4)/(3*4) = 2/3 = (2*9)/(3*9) = 18/27

7/9 = (7*3)/(9*3) = 21/27

9/27 = 9/27

So, 9/27, 18/27, 21/27, 36/27 is the correct setup of least to greatest. When converted into original form, it should be in the following order:

9/27, 8/12, 7/9, 4/3

Answer. (E) 9/27, 8/12, 7/9, 4/3

3、What is a volume of a cube with a length of 7 centimeters?

A)343

B)344

C)345

D)346

E)347

To find the volume of a cube, multiply the length, the height and the width. This is shown below:

V = 7cm * 7cm * 7cm = 343cm3

The correct answer is (A): 343cm3

4、Bob had $12,500 in savings last year and received 6 percent interest. How much interest did Bob earn last year?

A)$700

B)$725

C)$750

D)$775

E)$800

To solve the problem, 6% of $12,500 has to be found. Follow the steps below:

$12,500 * 6% = $12,500 * 0.06 = $750

Answer (C). $750

5、Solve for 45 - 3c + 8d if c=2 and d=3.

A)53

B)57

C)59

D)61

E)63

Since we know that c=2 and d=3, substitute the numbers in the equation:

45 - 3*2 + 8*3 = 45 - 6 + 24 = 45 - 6 + 24 = 63

The correct answer is E (63).