佩斯学校The Perse School Year9数学入学考试笔试题 干货分享!

2023-01-09

  作为一所位于剑桥大学附近的私立学校,佩斯学校风景优美,交通便利,学生可享受到世界一流的教育资源,在这里可感受顶级学府的学术氛围,并且该校新增了多项现代化设施设备,比如体育馆、音乐中心、图书馆……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佩斯学校The Perse School Year9数学入学考试笔试题,希望对大家有所帮助:

佩斯学校The Perse School Year9数学入学考试笔试题

  Year 9 (13+)数学

  考生须知

  允许时间:45分钟

  1. 显示所有的工作-你可能会得到正确的工作,即使你的最终答案是错误的。

  2. 回答尽可能多的问题,以任何顺序。你不需要完成论文。

  3.不要在任何一个问题上花费太长时间——如果你卡住了,继续下一个问题。

  4. 答案和作业应写在试卷上提供的空格内。

  5. 计算辅助是不允许的。

  1. Mulply 607 by 508

  Answer: __________

  2.How many minutes are there in 0.4 hours?

  Answer: __________

  3.(a) Find the value of 23 x 52

  Answer: (a)____________

  (b) Write 300 as a mulplicaon of prime numbers, leaving your answer in a form that involves indices as in part (a)

  Answer: (b) ___________

  4.The height of the Eiel tower is 2.95 x 102m. What is this in millimetres? Leave your answer in scienc (standard) form.

  Answer: ___________mm

佩斯学校The Perse School Year9数学入学考试笔试题

  Answer: x = ___________

  6.Calculate 5.06 x 7.2

  Answer: _____________

  In this queson, a = -3, b = 4 and c = 2

  7.Calculate the value of each of the following

  (i) a3 Answer: (i) ____________

  (ii) 2ab Answer: (ii) ___________

  (iii) (3c - 2a)2 Answer: (iii) ___________

  8.In the diagram shown below, DF is parallel to

  EC and AB is equal in length to BC.

  Angle BAC = 48˚

  Calculate:

  (i) Angle ABC Answer: ____________

  (ii) Angle BAD Answer: ____________

  (iii) Angle ABE Answer: ____________

佩斯学校The Perse School Year9数学入学考试笔试题

  9. In these walls, the value of each brick is made by adding the value of the two bricks below it.

  i.e.

佩斯学校The Perse School Year9数学入学考试笔试题

  (a) Write a simplied expression for the number in the top brick of the wall shown below:

佩斯学校The Perse School Year9数学入学考试笔试题

  (b) Fill in the missing expressions in each of the walls shown below: (write your answers in a simplied form)

佩斯学校The Perse School Year9数学入学考试笔试题

  10. Calculate each of the following [leave fracons in their lowest form]

佩斯学校The Perse School Year9数学入学考试笔试题

  11. The SINGLESUM of a number is obtained by repeatedly adding its digits until a single digit remains. For example, the SINGLESUM of 2482 is 7 because:

  2+4+8+2 = 16 then 1+6=7

  (a) Write down the SINGLESUM of 998.

  Answer: _____________

  (b) Find an odd number between 200 and 220 with SINGLESUM equal to 1.

  Answer: ________________

  A number is called SPECIAL if its SINGLESUM is 4 or 7. For example, 4 and 7 are SPECIAL, as is 133 because 1+3+3=7.

  (c) Is 4444 SPECIAL?

  Answer: _______________

  (d) Find all the SPECIAL numbers between 60 and 80.

  Answers: _______________

  12. The diagram shows a regular octagon with axes at its centre.

佩斯学校The Perse School Year9数学入学考试笔试题

  The line through A and C has equaon x = 5

  (a) What is the equaon of the line through E and C?

  Answer: (a) ___________

  (b) What is the equaon of the line through A and E?

  Answer: (b) ___________

  (c) What is the equaon of the line through H and D?

  Answer: (c) ___________

佩斯学校The Perse School Year9数学入学考试笔试题

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