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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 分级测试 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?
25\displaystyle \frac{2}{5}
0.450.45
13\displaystyle \frac{1}{3}
1130\displaystyle \frac{11}{30}
0.720.7^2

2.

A class has 1616 girls and 2424 boys. What is the ratio of boys to girls, as a fraction in simplest form?
1624\displaystyle \frac{16}{24}
23\displaystyle \frac{2}{3}
32\displaystyle \frac{3}{2}
2416\displaystyle \frac{24}{16}
35\displaystyle \frac{3}{5}

3.

If a 4040-inch-tall person grows by 25%25\%, how many inches tall is the person after growing?
5050
40.2540.25
6565
1010
4444

4.

If a car drives at a speed of 3535 miles per hour for 1212 minutes, how many miles will it go?
420420
3535
3512\frac{35}{12}
17.517.5
77

5.

Find the value of 0.125×888.0.125 \times 888.
444444
109.40109.40
111111
11.111.1
111000111000

6.

Find the simplified form of 13117.\frac{13}{117}.
19\displaystyle \frac{1}{9}
119\displaystyle \frac{1}{19}
117\displaystyle \frac{1}{17}
13117\displaystyle \frac{13}{117}
113\displaystyle \frac{1}{13}

7.

How many xx's are there in
12x+12x+12x?\frac{1}{2} x + \frac{1}{2} x + \frac{1}{2} x ?
33
22
1.51.5
11
0.50.5

8.

The reciprocal of a non-zero variable xx is equal to:
x10\displaystyle \frac{x}{10}
1x\displaystyle \frac{1}{x}
x−1x-1
−x-x
1−x1-x

9.

5+5=?\sqrt{5} + \sqrt{5} = ?
10\sqrt{10}
55
25\displaystyle \frac{2}{5}
252\sqrt{5}
454\sqrt{5}