Number Properties
Geometry
Algebra
Word Problems
Advanced Shapes and Geometry
100
How many two-digit squares have the property that the product of their digits is also a square?
有多少个两位数的平方具有其数字的乘积也是平方的性质？
A) 0
B) 1
C) 2
D) 3
E) 4
Answer: B) 1
100
显示了两个等边三角形。小三角形的每个点到大三角形的最近点的距离是√3. 两个三角形的边长相差多少？
6
100
The sum 10/9+9/10 is equal to which of the following?
A) 1
B) 2
C) 2.01
D) 2.1
E) 2.2
C) 2.01
100
There are 120 000 red squirrels living in Scotland. This represents 75% of their total UK population. How many more red squirrels live in Scotland than live in the remainder of the UK?
苏格兰生活着 12 万只红松鼠。这占总数的 75%
英国人口。
生活在苏格兰的红松鼠比生活在英国其他地区的红松鼠多多少？
A)30 000
B) 40 000
C) 60 000
D) 80 000
E) 90 000
D) 80 000
100
所有矩形的面积都相同，x+y 的值是多少?
Answer: D) 10
200
How many of these four integers are prime? 1, 11, 111, 1111
这四个整数中有多少个是素数？
A) 0
B) 1
C) 2
D) 3
E) 4
Answer: B) 1
200
下图显示一个周长为 20 厘米的正方形内接于一个周长为 28 厘米的正方形。阴影三角形的面积是多少？
Answer: A) 6 cm²
200
For certain values of x, the list x,x+6,x2 contains just two different numbers. How many such values of x are there?
这样的 x 值有多少个？
A) 1
B) 2
C) 3
D) 4
E) 5
4
200
A list of five positive integers has a mean of 5, a mode of 5, a median of 5, and a range of 5. How many such lists are possible?
五个正整数的列表的平均值为 5，众数为 5，中位数为 5，范围为 5。这样的列表可能有多少个？
A) 1
B) 2
C) 3
D) 4
E) 5
Answer: B) 2
200
它显示了一个正五边形和一个等边三角形。 x 是什么？
24
300
What is the total face value of 440 million polymer £5 notes issued in 2016?
2016 年发行的 4.4 亿面值 5 英镑聚合物纸币的总面值是多少？
A) £220,000,000
B) £440,000,000
C) £2,200,000,000
D) £4,400,000,000
E) £22,000,000,000
Answer: C) £2,200,000,000
300
该图显示了带有阴影区域的正六边形。阴影总面积为 20 平方厘米。六边形的面积是多少？
48 cm²
300
How many three-digit numbers are increased by 99 when their digits are reversed?
有多少个三位数颠倒后加99？
A) 4
B) 8
C) 10
D) 80
E) 90
Answer: D) 80
300
A particular integer is the smallest multiple of 72, each of whose digits is either 0 or 1. How many digits does this integer have?
一个特定的整数是 72 的最小倍数，每个数字不是 0 就是 1。这个整数有多少位？
A) 4
B) 6
C) 8
D) 10
E) 12
Answer: E) 12
300
的所有内角六边形的角度是120°。一些边的长度是表明的。
六边形的面积是多少？
Answer: A) 20√3
400
What fraction of the bones in the human body are in one foot?
一只脚占人体骨骼的百分之几？
A)1/6
B)1/8
C)1/10
D)1/12
E)1/20
Answer:1/8
400
显示了一个菱形和两个正六边形。较小六边形的面积与较大六边形的面积之比是多少？
1:4
400
Which of these integers cannot be expressed as the difference of two squares?
以下哪个整数不能表示为两个平方之差？
A) 5
B) 7
C) 8
D) 9
E) 10
Answer: E) 10
400
将三个正方形放在一起形成一个 L 形。 L 形放置在矩形内。长方形的面积是多少？
A) 16
B) 18
C) 20
D) 22
E) 24
Answer: E) 24
400
How many of the following shapes could be the region where two triangles overlap?
Equilateral triangle, square, regular pentagon, regular hexagon
下面有多少个形状可以投注在两个三角形重叠的区域？
等边三角形、正方形、正五边形、正六边形
A) 0
B) 1
C) 2
D) 3
E) 4
Answer: E) 4
500
Which of these is the sum of the cubes of two consecutive integers?
其中哪个是两个连续整数的立方之和？
A) 4
B) 9
C) 16
D) 25
E) 36
Answer: B) 9
500
风筝是由两个全等的等腰三角形连接而成。有什么价值
𝑥？
Answer: D)72
500
Which integer n satisfies 3/10 < n/20 < 2/5
A) 3
B) 4
C) 5
D) 6
E) 7
7
500
Eli Bishop set a world record by clapping 1020 times in one minute. How many claps is that per second?
Eli Bishop 创造了一分钟鼓掌 1020 次的世界纪录。每秒拍多少次？
A) 17
B) 16.5
C) 16
D) 15.5
E) 15
Answer: A) 17
500
该图显示了一个边长为 3、4 的三角形
和 6.
在三角形的每个顶点绘制一个半径为 1 的圆。
阴影部分的总面积是多少？
用 π 留下你的答案
C) 5π/2