超干货分享 华威学校Warwick School year9数学入学考试笔试题!

　　作为英国顶尖的私立男校，华威学校是英国最古老的男子学校，距今已有一千多年的历史，是世界上现存最古老的公学，该校不仅学术水平高，学生考试成绩优异，并且硬件设施非常完备，因此，越来越多的学生去该校留学，可是，入读私校要经过笔试，下面，小编就为大家带来了华威学校Warwick School year9数学入学考试笔试题，希望对大家有所帮助：

　　13+数学

　　在你开始阅读这些说明之前:

　　这个笔试持续一个小时。

　　每道题每部分的分数在括号内。

　　我们想看看你们是怎么得出答案的，所以展示一下你们的成果吧。即使答案是错的，你也可以得到一些积分。

　　如果你被难住了，就继续下一个问题。最后你可能还有时间再试一遍这个问题。

　　不要使用计算器。

　　1) Calculate:

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　2) Simplify:

　　a) 2x+3y+4x-2y

　　……………………………………………………………………………

　　b) p²+p²+p²

　　……………………………………………………………………………

　　3) Work out the value of 3x-4y when x=-2 and y=-5.

　　………………………………………………………………………………………………………………………

　　………………………………………………………………………………………………………………………

　　4) Nick takes 28 boxes out of his van.Each box weighs 32.9kg. Work out the total weight of all the boxes.

　　………………………………………………………………………………………………………………………

　　5) 60 British students visited one foreign country last week. The two-way table shows some of the information about these students.

　　a) Complete the two-way table.

　　………………………………………………………………………………………………………………………

　　One of the students is picked at randoom.

　　b) Write down the probability that the student visited Germany last week.

　　………………………………………………………………………………………………………………………

　　6) There are 600 pupils at Prestfield School; 55% of them are boys.

　　a) How many boys are at Prestfield School?

　　………………………………………………………………………………………………………………………

　　168 pupils are in the Sixth Form.

　　b) What percentage of pupils are in the Sixth Form?

　　………………………………………………………………………………………………………………………

　　7) Solve the following equations:

　　a) 5a-2=28

　　……………………………………………………………………

　　b) 4(3d+1)=3(2d+3)

　　……………………………………………………………………

　　……………………………………………………………………

　　8) 20 pupils scored goals for their school hockey teams last month. The table gives information about the number of goals they scored.

　　Work out the mean number of goals scored.

　　………………………………………………………………………………………………………………………

　　9)

　　a) Find the size of angle B.

　　…………………………………………………….....

　　b) Explain why ABC is an equilateral triangle.

　　…………………………………………………….....

　　10) ABC is a straight line and BD = CD.

　　Work out the size of angle x°, giving reasons for you

　　11)AB is parallel to CD.

　　Find the size of angles x°and y°

　　12) The diagram shows a triangular prism. Its cross section is shaded.

　　a) What is its cross sectional area?

　　…………………………………

　　…………………………………

　　b) What is its volume?

　　……………………………………………………………………………………………………………………….

　　13) Enlarge the shaded triangle by a scale factor of 2, centre (-1,3)

　　14) Simon cycled from his home to a friend’s house, stayed in there for a bit and then cycled home. This is shown in this distance-time graph.

　　a) When did Simon leave home?

　　……………………………………………………………………………………………………………………….

　　b) How long was he at his friend’s house?

　　……………………………………………………………………………………………………………………….

　　c) How far did he cycle altogether?

　　……………………………………………………………………………………………………………………….

　　d) How fast did he cycle on his way to his friend’s house?

　　……………………………………………………………………………………………………………………….

　　e) Did he cycle faster on the way there or on the way back? Give a reason for your answer.

　　……………………………………………………………………………………………………………………….

　　15) a) Work out the size of the exterior angle of a regular hexagon.

　　The area of the hexagon is 4580 mm2, correct to significant figures.

　　b) What is the area in cm²?

　　……………………………………………………………………………………………………………………….

　　c) What is the least possible value of the area in mm²?

　　……………………………………………………………………………………………………………………….

　　d) What is the greatest possible value of the area in mm²?

　　……………………………………………………………………………………………………………………….

　　16) a) Express 135 as the product of its prime factors.

　　………………………………………………………………………………………………………………………

　　b) Find the highest common factor (hcf) of 135 and 180.

　　………………………………………………………………………………………………………………………

　　17) Calculate the size of the largest angle in the quadrilateral.

　　18) A diamond ring is bought in 2006. Every year its value increases by 20%. In 2007 it was worth £3000.

　　a) What was the ring worth in 2009?

　　………………………………………………………………………………………………………………………

　　b) What was the ring worth in 2006?

　　………………………………………………………………………………………………………………………

　　以上是关于华威学校Warwick School year9数学入学考试笔试题的相关问题，总体来讲，低龄留学已成为了一种趋势，毕竟年龄越小，进入名校的机率越大。顶试留学是一所专注于英国低龄留学实行境内外一站式服务的机构，像留学选校、寻找寄宿家庭、寄宿生活、UKiset考试培训等提供全方位的留学咨询。在此，顶试留学预祝准留学生们都能学业有成!