代数基础 的图标
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。

考试时间还剩下:

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.

\(\sqrt{5} + \sqrt{5} = ?\)

\(\sqrt{10}\)

\(5\)

\(\displaystyle \frac{2}{5}\)

\(2\sqrt{5}\)

\(4\sqrt{5}\)