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:
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
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: ____________
9. In these walls, the value of each brick is made by adding the value of the two bricks below it.
i.e.
(a) Write a simplied expression for the number in the top brick of the wall shown below:
(b) Fill in the missing expressions in each of the walls shown below: (write your answers in a simplied form)
10. Calculate each of the following [leave fracons in their lowest form]
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.
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) ___________
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