##### 数论工具: 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.

What is the last digit of

$8 \times 8 \times 8?$

$$2$$

$$4$$

$$6$$

$$8$$

$$0$$

2.

What is the sum of the factors of $$32?$$

$$3$$

$$31$$

$$62$$

$$63$$

$$72$$

3.

How many factors does the number $$12$$ have?

$$2$$

$$3$$

$$4$$

$$5$$

$$6$$

4.

What is the remainder you get after dividing $$71$$ by $$14?$$

$$1$$

$$3$$

$$5$$

$$7$$

$$9$$

5.

Which of these numbers are factors of $$7!$$ (seven factorial)? Choose all that work.

$$1$$

$$2$$

$$4$$

$$8$$

$$16$$

6.

What is the smallest positive integer $$x$$ that would make $$392x$$ a perfect square?

$$2$$

$$3$$

$$4$$

$$5$$

$$6$$