1.[代数&函数]
A cell phone plan costs 20 dollars each month, plus 5 cents per text message sent, plus 10 cents for each minute used over 30 hours. In January Michelle sent 100 text messages and talked for 30.5 hours. How much did she have to pay?
(A) 24.00 (B) 24.50 (C) 25.50 (D) 28.00 (E) 30.00
2.[代数&函数]
Cagney can frost a cupcake every 20 seconds and Lacey can frost a cupcake every 30 seconds. Working together, how many cupcakes can they frost in 5 minutes?
(A) 10 (B) 15 (C) 20 (D) 25 (E) 30
3.[计数&数论]
A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of the pink flowers are roses, three fourths of the red flowers are carnations, and sixtenths of the flowers are pink. What percent of the flowers are carnations?
(A) 15 (B) 30 (C) 40 (D) 60 (E) 70
4.[代数&函数]
At an elementary school, the students in third grade, fourth grade, and fifth grade run an average of 12, 15, and 10 minutes per day, respectively. There are twice as many third graders as fourth graders, and twice as many fourth graders as fifth graders. What is theaverage number of minutes run per day by these students?
(A) 12 (B) 37/3 (C) 88/7 (D) 13 (E) 14
5.[代数&函数]
Last summer 30% of the birds living on Town Lake were geese, 25% were swans, 10% wereherons, and 35% were ducks. What percent of the birds that were not swans were geese?
(A) 20 (B) 30 (C) 40 (D) 50 (E) 60
6.[计数&数论]
The sums of three whole numbers taken in pairs are 12, 17, and 19. What is the middle number?
(A)4 (B）5 (C) 6 (D) 7 (E) 8
7.[计数&数论]
Define a function on the positive integers recursively by f(1) = 2, f(n) = f(n - 1) + 1 if n is even, and f(n) = f(n - 2) + 2 if n is odd and greater than 1. What is f(2017)?
(A) 2017 (B) 2018 (C) 4034 (D) 4035 (E) 4036
8.[几何]
Line segment AB is a diameter of a circle with AB = 24. Point C, not equal to A or B, lies on the circle. As point C moves around the circle, the centroid (center of mass) of ▲ABC traces out a closed curve missing two points. To the nearest positive integer, what is the area of the region bounded by this curve?
(A) 25 (B) 32 (C) 50 (D) 63 (E) 75
9.[几何]
Carl decided to fence in his rectanqular garden, He bought 20 fence posts, placed one on each of the four corners, and spaced out the rest evenly along the edges of the garden.eaving exactly 4 yards between neighboring posts. The longer side of his garden, including the corners, has twice as many posts as the shorter side, including the corners. What is the area, in square yards, of Carl's garden?
(A) 256 (B) 336 (C) 384 (D) 448 (E) 512
以上9题可以先给孩子测试，如果想要完整版可以告知孩子年龄，给到更对应的考前必刷题汇总版哦！
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百分数(分数、小数)的计算问题：试题中常见百分数、分数以及小数的多步骤计算、比较大小等。要求同学们熟练掌握百分数、分数以及小数的计算及其相互转化。
关于统计，常考察统计中基本概念，比如求解 mean 平均数、 mode 众数、 median 平均数等，同时也会考察学生对常见统计图表的综合分析解读能力，难度相对较高。关于概率，需要同学们能够掌握复杂情形下的概率计算。
对数字的估值计算，考试要求不可以使用计算器，这部分主要考察学生对数字保留适当的有效数位进行估值计算。
基本代数概念问题，包括因数、倍数、比例等。
初等几何问题，包括平面多边形、圆的面积和周长以及勾股定理等知识点，需要学生对中学阶段的几何基本概念及其性质熟练掌握，一般题目会综合考察。
空间可视化问题，是利用空间立体图形来进行出题，重点考察同学们空间想象能力和分析解决问题的能力。
这部分考题一般结合生活实例情形出题，同学们需仔细阅读，把情形与数学结合起来，题型难度并不大。
找规律问题，主要考察同学们根据题目给出的特定情形，分析推理出变化规律，解决问题的能力。
这部分内容侧重考察同学们分析推理能力、逻辑思维能力，运用多方法综合分析推出结论，比如分类法、逆推法等。
方程问题包含一次方程、线性方程组、二次方程等。
几何坐标问题，常结合平面图形以及常见代数问题综合考察。
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