##### 综合入门: 基础能力测试

LIVE课程将用最简单的语言将最复杂的数学概念去芜存菁。在开始上课前，让我们来确认你已经掌握了我们将在本课程中使用的基本概念。如果您在此测试中答出 80%以上的题目，同时在 place-out test 中得到低于 70%的分数，那么就从这个模块开始学习吧！ 这个测试对你来说应该很容易，因为它只是基础能力测试。

10:00

1.

Calculate:

$(-2) \times (5 + 3 \times 3 - 20) + 4$

$-16$

$-8$

$0$

$8$

$16$

2.

What is $\frac{11}{6} - \frac{6}{4}$ expressed in simplest form?

$\displaystyle \frac{1}{2}$

$\displaystyle \frac{1}{3}$

$\displaystyle \frac{1}{4}$

$\displaystyle \frac{2}{3}$

$\displaystyle \frac{5}{2}$

3.

How many different ways are there to make an outfit with exactly one shirt and one pair of pants, if you have 3 different shirts and 4 different pairs of pants to choose from?

$3$

$4$

$7$

$12$

$24$

4.

What is the area of this triangle?

$17$

$25$

$30$

$34$

$60$

5.

Which of these is the prime factorization of 30?

$3 \times 10$

$5 \times 6$

$2 \times 3 \times 5$

$1 \times 2 \times 3 \times 5$

$30$ has no prime factorization

6.

If you pick one marble from a bag which has 3 red marbles and 7 blue marbles, what is the probability that you pick a red marble?

$\displaystyle \frac{1}{10}$

$\displaystyle \frac{3}{7}$

$\displaystyle \frac{3}{10}$

$\displaystyle \frac{4}{10}$

$\displaystyle \frac{7}{3}$