代数基础: 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.

Which of these numbers is the largest?

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

$$0.45$$

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

$$\displaystyle \frac{11}{30}$$

$$0.7^2$$

2.

A class has $$16$$ girls and $$24$$ boys. What is the ratio of boys to girls, as a fraction in simplest form?

$$\displaystyle \frac{16}{24}$$

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

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

$$\displaystyle \frac{24}{16}$$

$$\displaystyle \frac{3}{5}$$

3.

If a $$40$$-inch-tall person grows by $$25\%$$, how many inches tall is the person after growing?

$$50$$

$$40.25$$

$$65$$

$$10$$

$$44$$

4.

If a car drives at a speed of $$35$$ miles per hour for $$12$$ minutes, how many miles will it go?

$$420$$

$$35$$

$$\frac{35}{12}$$

$$17.5$$

$$7$$

5.

Find the value of $$0.125 \times 888.$$

$$444$$

$$109.40$$

$$111$$

$$11.1$$

$$111000$$

6.

Find the simplified form of $$\frac{13}{117}.$$

$$\displaystyle \frac{1}{9}$$

$$\displaystyle \frac{1}{19}$$

$$\displaystyle \frac{1}{17}$$

$$\displaystyle \frac{13}{117}$$

$$\displaystyle \frac{1}{13}$$

7.

How many $$x$$'s are there in

$\frac{1}{2} x + \frac{1}{2} x + \frac{1}{2} x ?$

$$3$$

$$2$$

$$1.5$$

$$1$$

$$0.5$$

8.

The reciprocal of a non-zero variable $$x$$ is equal to:

$$\displaystyle \frac{x}{10}$$

$$\displaystyle \frac{1}{x}$$

$$x-1$$

$$-x$$

$$1-x$$

9.

$$\sqrt{5} + \sqrt{5} = ?$$

$$\sqrt{10}$$

$$5$$

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

$$2\sqrt{5}$$

$$4\sqrt{5}$$