 ##### 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。

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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?

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

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

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

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

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