题目列表

题目内容
维度三:数学表述

当题目问“What percent of A is B?”时,正确的计算公式应该是?
当题目问“A is how much percent greater than B?”时,正确的计算公式应该是?
当题目提到“The number of people who register for the course each month is at least 5 and at most 30",正确的理解是?
维度四:数学概念

“1”是质数吗?
余数一定要小于除数吗?
当题干提到事件A与事件B是相互独立的(independent),请问事件A与事件B能同时发生吗?
维度五:数学公式

连续整数的数个数公式:从整数a到整数b,包含两端,共计有多少个整数?
多边形内角和公式:如果n多边形有n条边,那么这个n多边形所有内角度数和是?
组合数公式:以下哪个是正确的组合数的计算公式?
维度六:解题思维

What is the tens digit of $$21^{(3^{50})}$$?
Which of the following numbers CANNOT be the value of $$\frac{a}{|a|}+\frac{b}{|b|}+\frac{c}{|c|}$$, where $$a$$, $$b$$, and $$c$$ are nonzero numbers?
The integers $$s$$, $$t$$, and $$u$$ are each greater than $$1$$.

Quantity A

The average (arithmetic mean) of $$s$$, $$t$$, $$u$$, $$\frac{1}{s}$$, $$\frac{1}{t}$$, and $$\frac{1}{u}$$

Quantity B

$$1$$


For all integers $$k \gt 1$$, $$P_{k}=\frac{k+1}{k}$$. For all integers $$k \gt 2$$, $$b_{k}=P_{k}-P_{k-1}$$. The integer $$n$$ is greater than $$2$$.

Quantity A

$$b_{n}$$

Quantity B

$$\frac{-1}{n^2-n}$$




The figure shows a large equilateral triangle partitioned into 4 regular hexagons, 3 trapezoids, and 3 smaller equilateral triangles. If all sides of the hexagons are congruent, what is the ratio of the sum of the areas of the 4 hexagons to the sum of the areas of the 3 trapezoids to the sum of the areas of the 3 smaller triangles?
A certain number of toys were packed into $$x$$ boxes so that each box contained the same number of toys, with no toys left unpacked. If $$3$$ fewer boxes had been used instead, then $$12$$ toys would have been packed in each box, with $$5$$ toys left unpacked. What is the value of $$x$$?
Two water faucets are used to fill a certain tank. Running individually at their respective constant rates, these faucets fill the empty tank in 12 minutes and 20 minutes, respectively. If no water leaves the tank, how many minutes will it take for both faucets running simultaneously at their respective rates to fill the empty tank?
If $$xy=2$$ and the average (arithmetic mean) of $$x$$ and $$y$$ is 3, what is the value of $$x^2 + y^2$$ ?

共收录:

25000 +道题目

6本备考书籍

最新提问